diff --git "a/data/dm_maths/full_data_1/10642_11255.jsonl" "b/data/dm_maths/full_data_1/10642_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10642_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 11569 is divided by 82?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100463 + -46?\nAnswer: 100414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642*u**2 - 2 + 2.\nAnswer: -642*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.236 - 0.003. Let j = 4.81 - 4.777. Let g = j - k. Which is the nearest to g? (a) -2 (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(4\/24*-4). Factor -7*q**3 + 6*q**4 - 5*q**4 - q**2 - q**5 + 8*q**r.\nAnswer: -q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2952101 is divided by 737983.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3049 is divided by 1015.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (474\/(-1185))\/(((-120)\/(-1525))\/12).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2350 * -53367.\nAnswer: 125412450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12514756 - -12514755.0800067. Let v = 2.3 - 3.22. Let m = v - s. Round m to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkxskksxsks. What is prob of picking 2 s?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 5. Calculate q(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309 + -305. Suppose 5*d = -5*n + 35, 3*d = -n - 0*n + 19. Suppose o + d = b*o. Solve -3*z + 4 = -o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9002079 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 185, 427, 671, 917, 1165, 1415, 1667?\n\"Answer: k**2 + 239*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70235, -70285, -70339, -70397?\n\"Answer: -2*f**2 - 44*f - 70189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 114, 123, 140, 171, 222, 299?\n\"Answer: m**3 - 2*m**2 + 8*m + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 880*b**3 - 8184*b**2 + 13712*b - 6412.\nAnswer: 4*(b - 7)*(b - 1)**2*(b + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*m + 466*m = y - 17, -149 = -31*y - 2*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*w - 4)*(-8*w + 6*w - 4*w).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -339*j**4\/4 - 2*j**3\/3 - 41*j - 38. Find the third derivative of p(q) wrt q.\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -217 + -4 + -8*4\/(-16). Is b smaller than -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 173412196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/((1 + 1)\/(-2)). Suppose 1 = -m - 3. Put -0.5, m, o in decreasing order.\nAnswer: o, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, -3 in decreasing order.\nAnswer: 7, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 28*k - 23. Let c be i(-29). Suppose -184 = -c*m - 166. Solve -12 = -m*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32311 (base 5) to base 14\nAnswer: -b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -19*x + 22*x + 5*z, 0 = -x - z + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {d: 7, k: 5, f: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 227 = 137 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 284 = 7*j - 3*j, 0 = h + 3*j - 143. Calculate the highest common factor of 60 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -153, -253, -353, -453?\n\"Answer: -100*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2065\/2452 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*c + 18*c**2 + 24 + 3*c**3 + 0*c + c + 18*c.\nAnswer: 3*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846749.2 nanometers to kilometers.\nAnswer: 0.0000008467492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4590 and 157\/510.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - -4) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35 + 11*h + 211 - 15 wrt h?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14210 = -5*t, -17*i + 7106 = -15*i + 2*t. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -62699026?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)\/(5\/(-55)). Suppose -14*y + f*y = -678. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97701575 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((w**12\/w*w)\/w)))\/w)\/(w*w*w**11*w))\/((w*w**11)\/(w**(-3\/7)\/w)) assuming w is positive.\nAnswer: w**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.911 + -3. Round c to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.516, 0.08, 10, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 20. Are -6 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:43 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 3*b + 8*b - 48 + 3 + b**2 - 11*b. Let k be a(-3). Solve 2*c + 5*f - f - 2 = k, -4*c + 3*f = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 2)*(-3*p + 6 - 6) to the form g*p + o and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 4. Sort c, -3, -1 in increasing order.\nAnswer: -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19846 + 2366*l**2 - 19846)*(-3 + 1 + 3) + (-5 + 4 + 0)*(0*l**2 - 3*l**2 + 2*l**2) as y*l + x + k*l**2 and give k.\nAnswer: 2367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.07 - 0.67. Let g = 7.4 - z. Let r = -1.1 + 1.6. Which is the nearest to g? (a) r (b) -1\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 6*o + 5. Suppose 7 = 3*p - w, -4*w + 0*w = o*p - 6. Suppose -p*b = -b - 4. Solve v - b = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:49 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 20. Is p + (-2)\/(-2) + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*s - 3*s. Suppose z = i + 14, z - s*i + 64 = 5*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14856 and 846862\/57 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176475*j - 1176476*j + 3529430*j - 1176482*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + m)*(-5 + 6 + 4)*(-6 - 1 + 3)*(51*m**3 - 91*m**3 + 109 + 2*m + 39*m**3).\nAnswer: -20*m**4 + 40*m**2 + 2180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357899*v = 357898*v - b + 12, -4*v = -b + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 26*g - 30*g + 965, -3*g - 1647 = -5*p. List the prime factors of p.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2321303 - 11101222?\nAnswer: -20023131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -32*a + 17. Give h(-3).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-209)*(-250)\/(-2625)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 1424026. Let b(a) = -3*a. Calculate b(m(r)).\nAnswer: 3*r - 4272078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 269232.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4242 + -4070. Let a = 130 + -70. What is the remainder when w is divided by a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b = 93*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 7:44 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 2218.302\nAnswer: 865.13778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.6 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four ninths of a week?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2376980*o**3 + 381*o - 5983 wrt o?\nAnswer: -14261880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*d - d**2 + 119*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - (0 + (3 - 3)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36843\/329606 + 6\/1699. Calculate the common denominator of v and -3\/8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/6, -59180, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/6*(-1 + 467)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - q)*(-6 + 5 + 2)*(-40 + 52 + 229)*(3*q - q - 4*q).\nAnswer: -482*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009687663 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 1. Let z(a) be the first derivative of a**2 + a - 7. What is -4*t(c) + 5*z(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1486 + -855. Suppose -17*o + 0 = -34. Suppose -o*m + b = -m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2 - 27000*t - 512639 = 0?\nAnswer: -26981, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 407912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/21338 and -17\/4540.\nAnswer: 213380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2. Let b(f) = -f**2 - 31*f + 14*f + 17*f. Let j(k) = 6*b(k) - v(k). Let h(d) = -5*d**2 - 2*d**2 + d**2. Determine h(j(g)).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 138. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z - 4. Let a be g(5). Let o = 9 + a. Suppose o = 3*w + i - 17 - 36, 5*w - 3*i = 107. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45525, 45522, 45519, 45516?\nAnswer: 45513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-10) + (-15 - 923\/(-65)). Let a(q) = -q**2 + 10*q - 1. Suppose 0 = -2*i - 3 + 13. Let s be a(i). Calculate the highest common factor of g and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -568262*l**4 - 9*l**3 - 2796*l**2 - 512*l.\nAnswer: -13638288*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 3*n = 26*g + 25, 0 = 2*g - 3*n + 17 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -32*m**2 - 27*m + 11. What is h(2)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 712 in 2, -3, -40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 10*f)*(14*f + 0*f + 58*f)*(5 - 6*f - 5).\nAnswer: 4320*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -372 (c) -100 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392 - -470. What is the remainder when 230 is divided by t?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 2764*j**2 - 44016*j + 131904.\nAnswer: -(j - 2748)*(j - 12)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2581875 <= -2581876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1440.315 millilitres?\nAnswer: 1.440315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 89*x**4\/12 + 187*x**3\/3 + x**2 + 35. Differentiate v(u) with respect to u.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9 + 3*n + 0*n - 2*n. Let u be i(0). Let k(m) = -m**2 - 10*m - 9. Let b be k(u). Solve b*h - 1 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 31. Let h(f) = -7*f**3 + f. Let x(p) = -p**3 + p. Calculate l*h(o) - 6*x(o).\nAnswer: -o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29.8? (a) -11 (b) 12 (c) 2\/17 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:21 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44820616 divided by -151421.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5 - 3*a**2 + 6*a**2 - 4*a**2 - 22*a**3 - 5*a. Let r be 7*(182\/49 - 4). Is z(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166176 divided by -2\nAnswer: -83088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5277 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1090714?\nAnswer: -5\/1090714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + y = 13, -5*y = -3*q - y + 25. Let c be 63*q\/14*56\/6. What is the highest common divisor of c and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/4)\/f)\/f**2*f*f\/f**6*f**(-2\/13)\/f*f assuming f is positive.\nAnswer: f**(-281\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103962 is divided by 217?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6418, -6422, -6428, -6436?\n\"Answer: -r**2 - r - 6416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6)**16\/((d\/d**21)\/(d\/d**(-2\/107))))**(-1\/21) assuming d is positive.\nAnswer: d**(-12521\/2247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9))**(-22) assuming w is positive.\nAnswer: w**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1883512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 12956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430652611.\nAnswer: 379, 3774809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/12 + 4*i**3 + 24*i**2 - 3*i + 11. Let z be q(-2). Suppose -3*c = 2*c - 40. Sort c, z, 5, 1 in decreasing order.\nAnswer: c, 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 3*v**2 + 2*v**2 + 0 - 4. Let u = -4 - -8. Let m(a) = a**3 - 4*a**2 + a + 1. Let l be m(u). Calculate w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723393 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-79801 - 0)*-9*(-36)\/(-324) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1215 = -43*f + 1024 + 876 - 315, 2*f - 120 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*m = -26, 0 = t - 5*t + 3*m + 8. Solve 0 = -t*y - 20, -2*x + 8 = -0*x - 3*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9432, -37795, -85088, -151311?\nAnswer: -236464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**3 + 0*a**2 + 6*a**2 - 10*a**3 - 2*a**4 - 2 + 3*a**4 + 0*a**4 - 2*a**4 + (-a + 1 - 1)*(-3*a**3 + a**3 + 0*a**3) + (92 + 16*a - 92)*(-1 + 1 + 4*a**3).\nAnswer: 65*a**4 - 2*a**3 + 6*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - ((sqrt(500) - sqrt(500)*-3) + 1))**2*-1 + (-1 + 2*sqrt(5) + sqrt(5) - (sqrt(35)*3)\/sqrt(7)).\nAnswer: -4502 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/(-7))\/(14*1 + (-22800)\/1680). Suppose -4\/3*p**2 - 8\/3*p + c = 0. What is p?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10*q + 18 = 0. Suppose 0*j - 10 = j + 3*v, q*j = 4*v + 35. Which is the third biggest value? (a) j (b) -0.08 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6\/167, 139\/2, -1\/7, 0.5, -5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-3)*(-41)\/41?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1709 + -1666.65. Let m = 42.3 - d. Is m < -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/13 + 12*j**2\/13 - 32*j\/13 = 0. What is j?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -407\/30*k**6 - 28\/3*k**3 + 42*k + 0 - 2*k**2 - 499\/20*k**5 - 265\/12*k**4 - 121\/42*k**7. Determine a so that y(a) = 0.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.42 + 1.3907. What is o rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 159*u - 40036 = 160*u, -3*u = -4*q + 40036. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2195\/66 + -181\/6. Find the common denominator of 61\/10 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -14326140?\nAnswer: 14326144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 33*c**2 + 228*c + 322. What is h(-9)?\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -12 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + u**2 + u + 1. Let z be -11*5\/(-275) + (-52)\/10. Suppose 0 = 4*d + 8, 2*d - 4 = 4*x - 2*d. Let m be z - (-1 - (-9)\/x). What is q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -1 + -5 - sqrt(1331)) + 4)**2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = 20. Let m be -4*(-3 + l\/(-4)). Solve -2*b = -5*p - 25, -p = -4*b + m*p + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/20 - 5*v**4\/24 + 5*v**2. What is the second derivative of z(d) wrt d?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 111*z**2 - z. Let d be f(-1). Let m = d + -361. Let v = -158 - m. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 63243.5?\nAnswer: 63244.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*b = -690, 0 = 3*q - 4*b - 560 - 455. List the prime factors of q.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/5504 and -33\/180256?\nAnswer: 721024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/27*-5)\/(13776\/17712*(-4)\/(-14))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60509 smaller than 60510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*y - 7*y - 17*y + (2 - 2 - 1)*(-2*y + y - y) + 2*y + 2*y - 6*y + 3 + y + 0*y + y as x*y + q and give x.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -878923728*v**3 - 264561556.\nAnswer: -2636771184*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 9*d - 43. Suppose -d*w + 0*w + 4924 = 0. Suppose 5*o - 3*s = -2*s + 2069, w = 3*o + 2*s. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3701755504 to the power of 1\/2, to the nearest integer?\nAnswer: 60842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -7*b**4\/24 - b**3\/3 - b**2. Suppose -16*t = -6*t + 10. Let f be w(t). Solve -f*x + 0*x - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -21*u - 32*u + 196. Solve -u*i = -4*j, i = j - 3*i + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3917*k - 1960*k - 1961*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2844, 5485, 13814?\nAnswer: 22143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*a**2 - 609*a**2 - 8*a**3 - 4 + 314*a**2 + 27*a to the form u*a + n*a**3 + l + j*a**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18592008602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*j + 21 = -2, 4*b - 12 = -2*j. Suppose 0 = -5*l + 2*g + 2, 2*l = 3*g - 2 + b. Solve 0 = -x - l*x - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46\/7 + 139\/14. Calculate the common denominator of q and 2\/(-9) - 179\/(-198).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 - -1) + 1)\/2. Let r(q) = q**2 + 5*q - 6. Let w be r(-7). Suppose w = o - a. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-92)\/60 - 4 - 0 and -11\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 3591.\nAnswer: 39501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:36 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -3, 0.1, 1\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/84)\/(44\/(-16572)). Let w = -123\/7 + k. Solve 6\/11*x**3 + 0 + w*x**2 + 0*x = 0 for x.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**8\/672 + y**7\/84 + 7*y**6\/240 - y**5\/120 - y**4\/6 - y**3\/3 + 38*y**2. Find m such that o(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5969, -5965, -5959, -5951, -5941, -5929?\nAnswer: -5915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-661)\/(-180) + (-4)\/18 and (-4 - -1)*(-238)\/(-252).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 69*o + 68*o - 6 = 3*t, -3 = 3*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/144*-6)\/(5\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/330 - 5*j**4\/132 - 12*j**3\/11 + 12468*j**2. Factor n(a).\nAnswer: 2*(a - 9)*(a + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - g - 2*g - g + 18*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/45)\/(k**(4\/9)\/k))**(6\/11))**(-14) assuming k is positive.\nAnswer: k**(-252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*z**4 - 156575*z**3 + 13*z**2 - 9845*z + 6 wrt z.\nAnswer: -120*z - 939450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178073, -712241, -1602515, -2848889, -4451357?\nAnswer: -6409913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32735, 129087, 289681, 514523, 803619, 1156975, 1574597, 2056491?\nAnswer: 2602663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 21. Solve -5*y - h*d + 10 = 0, -4*y - 3*d = -0*y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(3\/13)\/((i*(i\/(i\/i**2))\/i*i)\/(i\/(i*i**4)*i)) assuming i is positive.\nAnswer: i**(-81\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 977, 3103, 8873, 20111, 38641, 66287, 104873?\n\"Answer: 304*i**3 - 2*i**2 + 4*i + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*g = 0, 0 = -q + 5*q + g. Suppose -3*t + 4*p + q*p + 3 = 0, 4*t + 5*p - 4 = 0. What is the units digit of t + -3*(-24)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 3287*v - 3284. What is a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5*z + 4*z)*(8*z**4 - z**4 - 4*z**4).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(260)\/sqrt(5)*-6 - sqrt(52))\/((sqrt(96)\/sqrt(2))\/sqrt(12)) + (0 + sqrt(832) + (sqrt(832) - -2*sqrt(832)))*-2)**2.\nAnswer: 65536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*t - 2 + 0 - 149*t.\nAnswer: 294*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -a - 0*h + 16, -3*a + 28 = -h. Suppose 5*m + p = 2*m + 33, -m - 3*p = -a. Calculate the remainder when 32 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3365440 and 13000.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0631 - 67129.3424216.\nAnswer: -67129.2793216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5830648 to 4 decimal places.\nAnswer: 0.5831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 24678 + 24615 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = -24. Let b be 479\/6 - (-3)\/f. Suppose -5*x + x + b = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20124 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*n - 251*n + 136 = 4*b + 763, -2*b = 3*b - n + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 3, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 + 24982*n**3 + 1248150683*n**2\/2 - 1248225630*n + 2496501225\/4.\nAnswer: (n - 1)**2*(n + 49965)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 5:36 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4660187 - -15.8.\nAnswer: -4660171.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98243d (base 16) to base 11.\nAnswer: -56a0198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a + 140 = 10*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17278 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-24180)\/6)\/(-2) - -8) + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 133, 409, 951, 1849?\n\"Answer: 15*z**3 - 2*z**2 + z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -3.2 (c) 0.1 (d) -0.55 (e) 2\/5 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 10*g + 11. Let i be f(10). Suppose -2*a + i = -67. Let y = -11 + a. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 348451*b**2 + 1. Let l(n) = -23*n. Give l(h(j)).\nAnswer: -8014373*j**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -8)\/(-9 + 2). Let o = -11 - -12. Let f be (-33)\/9 + 4 + -4 + 2. What is the biggest value in f, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*q**2 - 25*q + 287*q + 159*q + 67*q + 349*q**2 + 350*q**2.\nAnswer: -3*q**2 + 488*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123105, -3, -2 in descending order.\nAnswer: -2, -3, -123105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Suppose 5 = r*t - 2*t. What is the tens digit of -5*t*3\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.48344 + 0.0246.\nAnswer: -1.45884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -132. Suppose -5*o + 173 = t - 167, h = o + 3*t. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -15. Let v(u) = -u**3 - 5*u**2 - u. Suppose 25 = 5*g, 72 = 4*j + 4*g - 0*g. What is the remainder when j is divided by v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/30*14\/(-728). Which is the biggest value? (a) 0.09 (b) 3 (c) o (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikk when three letters picked without replacement from {k: 4, i: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0 - 5\/6*f**3 - 7\/12*f**4 + 14*f + 4*f**2. Let r(x) = 2*x**2. What is i(r(v))?\nAnswer: -28*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33.4 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + -1*(-34 + 15). Suppose -3*r + 3*b + 2*b = -34, 0 = -r - 2*b - 7. Solve 20 = -2*j + 3*u, 2*j + r*u = 2*u - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1.422 (b) -189179 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75920\/(-949)*2\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-33)\/(-12) + 5\/20. Let g(s) = s**2 + s + 1. Let h(j) = -8*j**2 - 6*j - 6. Determine n*h(l) + 6*g(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let r = -6 + z. Let q = r - -2.075. Round q to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75865847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose 0 = 5*f + 2*a - 5, -3*a = -f + 2*f + 12. Suppose -l = -r + f. Let k(n) = 8*n**3 + 2*n**2 - 1. Give k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.12821, 0.6?\nAnswer: 0.12821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18948673 + -27003704. Let m = -8055039.3001232 - p. Let z = 8.3 + m. What is z rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + w + 5004 + 726 = 0, -w + 5736 = 3*i. Let y = i + -760. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/977 and 51\/2?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let a be (-24)\/(-1) + (3 - q). Suppose 2*p - 19 + 7 = 0. Solve l - 41 = p*l - 4*d, l - 5*d + a = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -698? (a) -3 (b) -2\/171 (c) 0.1 (d) 4 (e) -3.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916*k**3 - 1452*k**3 + 142*k**3.\nAnswer: -2226*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 + 18*x + 98. Determine n(-10).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1397.305 - 1393. Let w = l - 4.4. Let o = w - -0.09374. What is o rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 19*o**2 + 19*o - 124. What is the remainder when v(10) is divided by 144?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285890*k**5 + 1973*k?\nAnswer: 5717800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1970362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.71032 - 29.7. What is y rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630080 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o**2 - 6*o + 23. Let x(u) = 22*u**2 + 7*u - 23. Let q(l) = -7*w(l) - 6*x(l). What is the first derivative of q(h) wrt h?\nAnswer: 58*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:46 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 18*s**2 + 18*s - 8. Determine y(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(567) + 0)**2 - (4*sqrt(63))**2).\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 - 5 + 1 = 3*h - 2, -h = 8*h + 5*u + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2407 + -1956. Calculate the lowest common multiple of y and 41.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/19)*(q\/(q\/((q**(-2)\/q)\/q*q)))\/q)\/(q**(-1\/4))**(-22) assuming q is positive.\nAnswer: q**(-365\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5\/2))**(24\/11)\/(k**(-3\/5))**(-6\/13) assuming k is positive.\nAnswer: k**(-2538\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 35. Let r be 2\/6 - 8\/h. Sort 5, r, 0 in increasing order.\nAnswer: 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 385 = -5*w. Let y be -54 + -4 + 7 + -2. Let f = w + y. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-1)\/12)\/(765\/(-68)))\/(2\/3). Let s(j) be the third derivative of 0*j - 12*j**2 + v*j**5 + 0 + 1\/18*j**4 + 1\/9*j**3. Suppose s(d) = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10694958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*p + p + 2*p - 4*p + 2*p**2 to a + l*p + u*p**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001010101000110100 (base 2) in base 9?\nAnswer: -7868241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 23. Let j(u) = 6*u**2 - 6*u + 7. Let y(n) = -5*n**2 + 5*n - 6. What is f*j(r) + 5*y(r)?\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4 - 4. Let k(i) = i**2 + i. Let v(u) = -2*u**2 + u + 6. Let b(h) = 3*k(h) + v(h). What is the units digit of b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4 - 4) + -12 + 16 + -2 + -22\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {w: 3, p: 4, v: 6, e: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -204067 (b) -1\/8 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/135 - (-88)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-12)*(-30)\/20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3103400 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 + -202.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 21*s**2 - 74*s - 55. Calculate the remainder when c(14) is divided by 81.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b**4 - 88*b**3*u**2 - 20*u**2 + 17*u wrt b?\nAnswer: 20*b**3 - 264*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -h - 4, 2*m + 254 = -h + 240 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 102*i - 96. Let l be r(16). Solve 3*s - 30*j + 34*j - 5 = l, 0 = -4*s + 4*j + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245316 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2. Let s(g) = -g - 3. Let f(h) = -6*h - 13. Let b(z) = f(z) - 4*s(z). Give k(b(o)).\nAnswer: -20*o**2 - 20*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 48*u - 51.\nAnswer: 3*(u - 1)*(u + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3)*((-3 - 6) + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.143 and 1685501573028.\nAnswer: 1685501573028.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1.21.\nAnswer: -0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2055\/50)\/3 - 3\/(-10)) + 1. Let x(f) be the first derivative of 0*f + 1\/2*f**2 - m. Let i(v) = -33*v. What is i(x(d))?\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.5 (b) -501230 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 4)*(-5*a - 5*a + 6*a)*(-2 + 3 + 0 + 5).\nAnswer: 168*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, h: 13}. What is prob of sequence hhrh?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 11292.\nAnswer: 11292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 311.\nAnswer: 62.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 3, q: 1, h: 1, t: 1}. Give prob of sequence dhdt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 87. Put l, 2, 0.08 in decreasing order.\nAnswer: 2, 0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 117?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.0264.\nAnswer: 0.00528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -28*l**3 - 6*l**2 + 4*l + 17. Let q be v(5). Let d = -2493 - q. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*q - 346626*n**3 + 3640*n**2*q + n*q - 14*n + q - 1 wrt n.\nAnswer: 12*q - 2079756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2151566, 4303140, 6454716, 8606294, 10757874, 12909456?\n\"Answer: f**2 + 2151571*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/306)\/(15\/(-20)*((-980)\/63)\/14).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -202388689 to the nearest 10000.\nAnswer: -202390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -269*g - 369. Calculate p(2).\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4121 (base 5) in base 4?\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qerde. Give prob of sequence qe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/((-3 - -3) + -2). Suppose -5*q - 50 = -5*a, -2*a + 0*q = -m*q - 22. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376018 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*z + 1300. Let p = -24 + 41. Let h = -7 + p. What is the highest common factor of z and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m + 1. Suppose 3*g - 7*g + 4 = 0. Let x be w(g). Suppose 55 = 3*o - 5*t, 3*o - 4*o + t = -17. What is the highest common factor of o and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-1)\/14*(-70)\/20). Solve 2*m + u = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -22\/15, -2\/15, -2\/115, -1\/4, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12)\/(2\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*f - 51*f - 411 = -141 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 96, 1046 in descending order.\nAnswer: 1046, 96, 12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 y, and 1 j when four letters picked without replacement from {y: 3, j: 5, t: 7, x: 2}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:29 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**3\/3 + d**2\/2 - 207*d. Let m(v) = 235*v + 22. Let z(o) = -m(o) + 4*t(o). Find the first derivative of z(x) wrt x.\nAnswer: -227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 16 - (-3 - (-2 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*j**2 + b*j + 9*b + 2*j**3 + 3997*j**2 + 6776 wrt j.\nAnswer: -4*b*j + b + 6*j**2 + 7994*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z - 4. Let c(p) = 1735264*p. What is b(c(h))?\nAnswer: 15617376*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -41. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 7*o**2 + 7*o - 3. Let b be w(3). Is -9 - -6947 - (b - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49566, 2, -11 in ascending order.\nAnswer: -11, 2, 49566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 10*a - 6*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -0.00556, 0, 2\/27?\nAnswer: -0.00556","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -298529 and 119.\nAnswer: -35524951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 404 and 272?\nAnswer: 27472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = 2*s - 22, 4*s - 3*k = 17. Suppose 9*l = 11*l - s. Suppose 2*t + 8 = l*t. What is the greatest common divisor of 16 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178867088?\nAnswer: 2, 1049, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:53 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 146, 335, 600, 941, 1358?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0.9. Let v = 21498 - 21494. What is the third biggest value in v, a, -2\/15, -3\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26524, -26525, -26526?\n\"Answer: -a - 26523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**6\/120 - d**5\/30 - 5*d**2\/2 + 12*d. Let l(j) be the first derivative of m(j). Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2141390 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 51. Suppose -5*d = 20, -b = -3*t + 3*d - 4*d. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**1*w*w*w\/(((w*w**(2\/55)*w)\/w)\/w)*(w\/(w**(-3)\/w)*w)\/w**17 assuming w is positive.\nAnswer: w**(-332\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1204 - -200. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 66. Let g = -26 + j. Which is the fourth smallest value? (a) g (b) -2 (c) 1\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 4\/3, -2, -5\/4, 1, 0.259?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1359, 3, 1, 4, -1 in decreasing order.\nAnswer: 1359, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 84762785?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d**2 - 1. Let n(b) = 2*b**3 + 7*b**2 - 5. Let y(f) = n(f) - 3*o(f). Suppose 0 = 3*x - 0*x - 18. Suppose 4 = 5*a - x. What is y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18923, -2\/5, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9 + 9*z**3 + 4 + 5.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8845, 8809, 8773, 8737, 8701?\n\"Answer: -36*d + 8881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 16055?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -310 + 425. What is the smallest common multiple of p and ((-75)\/(-9))\/(-1 - (-7)\/6)?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*g - 1034 + 206 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(18)\/sqrt(9))*-6*3 + sqrt(6)\/(sqrt(3) - 3*sqrt(12)\/sqrt(4)).\nAnswer: -73*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 489264 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/18 - 18\/81. Let h = 9 - 6. What is the first derivative of -3*n**4 + 2*n**4 + h*n**4 + w wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154232 (base 6) in base 11?\nAnswer: 1047a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(288))\/sqrt(12))\/(sqrt(24)\/((sqrt(36)*1)\/sqrt(12))) + 3 + -1.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 176. Does 11 divide s(77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 91482965?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*x + 49 = 2*x, 63 = 2*w + 3*x. Suppose w = 3*j - 15. Let o be 4\/j*(3 - 6). Which is bigger: o or 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbp when three letters picked without replacement from kubuicpkpbpiub.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-730)\/80 + 17 + (-8 - (-4 + 2))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**3 - 9*i**2 - 4*i - 9. Suppose 98 = 9*o + 5*o. Let n be z(o). What is n rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 r when three letters picked without replacement from {r: 2, a: 3, o: 2, h: 6, m: 1, p: 6}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -6. Let o(a) = a**3 - 7*a**2 + a - 9. What is o(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*r + r. Suppose -2*u = -r*u. Solve 2*v**3 + 2*v**5 + u*v**4 + 3*v**4 - 7*v**4 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -451281, -902537, -1353761, -1804947, -2256089, -2707181, -3158217?\n\"Answer: n**3 + 10*n**2 - 451293*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-5)\/(-7) + 4392770\/161 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -116.7?\nAnswer: -700.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:09 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 629472727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 8. Let h be 2\/(s - 16\/(-20)). Let a be 5\/10 - h\/4. Solve k - w = -a*w + 12, k - 16 = -3*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, -13, -108, -203?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + v - 1. Let o(s) = 4*s**3 - 6*s + 36. Let m(a) = o(a) + 5*w(a). Differentiate m(d) wrt d.\nAnswer: -3*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2688, 1, -3, -1 in ascending order.\nAnswer: -3, -1, 1, 10, 2688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u + 8. Let b(o) = 2*o**2 + 18*o + 38. Let w be b(-3). Sort w, -4, -5, u.\nAnswer: -5, -4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7\/458 (b) 3 (c) 5 (d) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92507.943 - 92633. Let v = 9.4 + 115.6. Let p = a + v. What is p rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/44)\/(2\/(-12)). Are 2\/7 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+22.80542\nAnswer: 22.70542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*4*(-3*(sqrt(2736) + sqrt(2736)*-2)*3 - (sqrt(2736) - (sqrt(2736)*1 + -5) - (sqrt(2736)*-2 + -5 - sqrt(2736)))))**2.\nAnswer: -56791296 + 829440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -115 - 6. Find t such that 11*t**2 - q*t**3 + 8*t**2 + 92*t + t**4 - 101*t = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from ezzzxxzzzz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1736 divided by -28.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195 or 1?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 876.1999990917 - 876.2. Round c to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1164155 (base 10) to base 8\nAnswer: -4341573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 9*h - 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -7)*(-5)\/(-2). Suppose -x*c - 5*a + 30 = -c, -a = -4*c + 18. Factor -4*o**4 + 2*o**4 + o**5 + o**5 - 4*o**c.\nAnswer: -2*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 159*d**2 - 15*d - 564. What is w(-53)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*l + 339*l + 5 + 67*l - 106*l + 90*l to y + h*l and give h.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {q: 1, z: 4, u: 3, s: 12}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t**2 + 2039 - 10*t - t**2 - 4049 + 2094 - 11*t. Give f(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2816 + 2820. Put q, -1\/3, 2\/13, 3\/11, 0.2 in decreasing order.\nAnswer: q, 3\/11, 0.2, 2\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -4.07. Let p = n - -4. Which is the nearest to -1\/8? (a) -1\/8 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132, -952, -3156, -7434, -14476, -24972, -39612, -59086?\n\"Answer: -115*a**3 - 2*a**2 - 9*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*t - 89*t**2 + 309*t**2 - 2*t to d*t + u + k*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 4200596.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -14. Let a = 6 + b. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lirrrlf. Give prob of sequence fr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 9 - 49. Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfnn when four letters picked without replacement from {n: 5, q: 3, f: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 10 = -24*c. Is 48 a factor of ((-39)\/2)\/(c\/((-24)\/(-1)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -3\/5 (c) 1171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 326*z + z**2 - 1580*z + 440*z + 295*z in the form p*z**2 + t*z + c and give t.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/9 (b) -85 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 2*g**2 + 15*g - 9. What is k(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-27)\/4))\/(((-88396)\/(-66))\/49)\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 11. Let o be a(-9). Suppose 4*b - 3335 = 3*j, -o*b - b + 2*j = -2500. Suppose 6*g - 11*g + b = 0. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5179853 or -7?\nAnswer: 5179853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:08 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 11. Let n = -16960 + 16953. Let b(c) = -4*c - 7. Give n*b(z) + 5*w(z).\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260316442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139707 * -0.8.\nAnswer: -111765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 4*t**2 - 4*t - 4. Let j be y(5). Does 18 divide 1 + 55 + (j - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -15, -9, -3?\n\"Answer: 6*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-223 + 1)*(-11)\/66?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 169460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27279 and 27?\nAnswer: 81837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q*u*v**3 - 18*q*u*v**2 + 19288017*q*v**3 - 177*q*v**2 + u*v**2 + 8*u*v - 20*u wrt v?\nAnswer: -12*q*u + 115728102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 504534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122302 - -11?\nAnswer: -122231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 867 + -387. Is c a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -1\/4*w**4 - 10\/3*w**3 + 8 + 5*w**2 + 4*w. Let l be t(-11). What is the greatest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -206*b**7\/7 - 2*b**3\/3 - 37*b**2\/2 + 93. Find the third derivative of l(s) wrt s.\nAnswer: -24720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45017.652 to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssffsfhsfsmvfnff. What is prob of picking 1 s and 1 h?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(108)*1 - sqrt(108)) + sqrt(108))\/(sqrt(12)\/sqrt(27)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2564 + 2569.838. Let x = l - -135.396. Let q = 141 - x. Round q to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(75)\/sqrt(5)*-4)\/((sqrt(432) + -2*sqrt(432))*4).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 12161\nAnswer: 4864.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -248 (c) 2\/11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) -117 (c) -2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/80 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvssmnz. What is prob of picking 1 m and 1 s?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 29*i**2 - 5*i - 150. Calculate o(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3)*(-18)\/8. Let f(z) be the first derivative of -z**3\/3 + z**2\/2 - z + 4. Let c(u) be the first derivative of f(u). Determine c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 3, y: 1, q: 1, b: 1, f: 3}. What is prob of picking 2 f, 1 w, and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 1, k: 1, q: 1}. Give prob of sequence tu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*i**5 + 5*i - 4*i + 108*i**4 - 106*i**4 + 240 wrt i.\nAnswer: -1580*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-692)\/(-10))\/(20\/50). Let l = y - 1901\/11. Let x be (-4 + 1)\/(6\/8). Which is the closest to 1? (a) x (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310.1104 months in centuries?\nAnswer: 1.925092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1795)\/(-40) - (-1)\/8. Suppose 11*r - 6*r + f = 0. Put r, 0, -3 in ascending order.\nAnswer: r, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*q + 3 - 23, -2*q = -4*m + 42. Solve h - 16 = 5*t + 6, 4*h - m = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 32. What is the common denominator of 103\/12 and (-69)\/12 + 2\/(-6) - q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:49 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - d = 50, 0*j + 4*j - 5*d = 58. What is the units digit of (148\/j)\/(1\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/20)\/d*d*d)\/d**(-1\/28)*d*d*d**3*d\/(d*d**(-23)*d) assuming d is positive.\nAnswer: d**(976\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -370230\/17 + 21788. Which is bigger: 11 or h?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 378, 385, 396?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3801*h + 58 - 18 - 17 - 23.\nAnswer: -3801*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122122 - -11022001112?\nAnswer: 11021101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 476901012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1247714 and 962.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:30 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8644*c - 2*c**2 - 141171 + 141171 in the form y*c + z + x*c**2 and give y.\nAnswer: 8644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - -2 - (4046\/(-28))\/(-17). Put 2423, -0.1, y in decreasing order.\nAnswer: 2423, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v + 13*v + 20 - 20 as i*v + c and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12704, -11356, -10008, -8660?\n\"Answer: 1348*h - 14052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor 18*t**3\/7 + 427172*t**2\/7 - 68693120*t\/7 + 393190400.\nAnswer: 2*(t - 80)**2*(9*t + 215026)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66622734 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 544 - 103. Differentiate 190 + 478*z**2 - t*z**2 - 63 + 3*z with respect to z.\nAnswer: 74*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - b327bd?\nAnswer: -b327d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -23528, -3554 in descending order.\nAnswer: 6\/5, -3554, -23528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1283505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 80. Suppose -v*h + 83 + 7 = 0. Solve -h*k - f + 22 = 2*f, -8 = 4*k - 4*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1. Let q = z + 0. Let y = -1180 + 1183. What is the second biggest value in q, -4, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145751 is divided by 235.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -1\/4*f**4 + 5\/2*f**2 + 6*f + 4\/3*f**3 - 1. Determine m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96501388.\nAnswer: 2, 31, 778237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -473 + 446 + -2*1 + (9 + -3 - 4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14*(-6)\/(-4)*6\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(-21) - (-3)\/9. Let d = 168 + -169. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8248.488 kilometers to nanometers.\nAnswer: 8248488000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**3 - 7\/160*u**6 + 1\/16*u**5 + 0*u - 2 - 7*u**2 + 1\/16*u**4. Factor q(b).\nAnswer: -3*b*(b - 1)*(7*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/d**(2\/9))*d*d**(21\/2)\/d assuming d is positive.\nAnswer: d**(211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2310 = -2*t - t. Suppose -5*w + 5*g - 30 = 0, -w - 2 = -2*g + 9. Find the common denominator of -95\/4 and w\/4*t\/(-45).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 53\/2, -0.3, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 8*q - 12. Let l be m(5). Suppose 3*o + 4 = -4*k - 0*o, -2*o - 2 = l*k. Solve -i = i - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72840 + 2?\nAnswer: -72838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 3395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 7*t**2 - 5*t - 2. Let k be q(6). Suppose k*w - 86 = 2*w. Let x = w - 40. Solve 4 = x*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 + 2*m - 4. Let o be (0 - 2)\/(0 + (-2)\/(-3)). Let b(v) = -5*v**2 + 2*v - 5. Determine o*b(y) + 4*k(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x + 3*b, 814*x + 2*b = 816*x + 16 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345399561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -34.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2651 = -5*w, 3*w - 3*n = -8*n + 1585. Suppose u = -4*u + w. Which is bigger: 105 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343713111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - 10*v + 5*v - 9*v as p + d*v and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/(209\/(-44) + 4). Let y = -55 + 59. Let h = -0.11 - 0.29. Sort h, y, d in descending order.\nAnswer: y, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 8. Let l(a) = a + 0*a + 2*a - 9. Let k = -886 + 879. Determine k*t(b) - 6*l(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 + 7*b + 5. Let d be c(-4). Let u be 5\/4 + d\/28. Let t be 21\/3 - u*-2. What is the greatest common factor of t and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -776 + 783. Let i = 0.1 - 0. Which is the nearest to i? (a) u (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 1. Let s = 19 - 19. Let n(j) = j**2 + 1. Let q be n(s). What is l(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 670024 and 3.\nAnswer: 2010072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -5 - (-1 + 45). Let c be (80\/(-3))\/(1\/(-3)). Let i = c + y. Calculate the remainder when 146 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 55. Let z be -2 - 0 - (-5 - 2). Suppose -3*t + i + 64 = 0, 0 = -z*t - i - 0*i + 104. Calculate the remainder when t is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 4*u + 3. Let z be m(4). What is the third derivative of 2*i**3 - 670 + z*i**6 - 5*i**6 + 668 - 16*i**2 wrt i?\nAnswer: -240*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 949.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*s*v**2 - 2053*b**3 + 887*b**2*s - b*s - b - 177*s*v - 18093*v**2 with respect to v.\nAnswer: 4*b**3*s*v - 177*s - 36186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50050 and 3003000.\nAnswer: 3003000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 15*q**2 - 7. Give k(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpp when three letters picked without replacement from vppsssvvv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37890092*m**3 - 75780182*m**3 + 37890093*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -106, -4, -1 in decreasing order.\nAnswer: 3, -1, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 106 - 106. Factor -2\/11*y**4 + 4\/11*y**2 + r*y + 0*y**3 - 2\/11.\nAnswer: -2*(y - 1)**2*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -9*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - 5 - -5 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ca2 + d4ad?\nAnswer: c80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -6815579558575?\nAnswer: 6815579558577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -187*(-77)\/(-17017)*-26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66b8 (base 13) to base 15\nAnswer: 43b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208568 and 142290.\nAnswer: 478663560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 3*f - 10. Let v(l) = -l + 1. Calculate -a(u) - 3*v(u).\nAnswer: 2*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17866002 divided by 22.\nAnswer: -812091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9581476.9 to the nearest 10000.\nAnswer: -9580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170688?\nAnswer: 2, 13, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 3*h - 3*k, h + k + 55 = 5*k. Let l(n) = -51*n**2 - 75*n - 74. Let s be l(-1). Let v = s - h. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/775260 and 127\/77526?\nAnswer: 775260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 3*a**2*i + 40*a*i + 2*i + 271 wrt a.\nAnswer: 3*a**2 + 6*a*i + 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z + 3*z)*(-1 + 3*z - 4*z - z).\nAnswer: -12*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from zdzptbz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 945.9 - 946. Which is smaller: g or 4.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:11 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 + 3*l**2)*(-3 + 1 + 0)*(-3*l + l + 22*l).\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12155.44t to nanograms.\nAnswer: 12155440000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/7 + 1284*s**2\/7 = 0.\nAnswer: -642, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {o: 12, s: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:01 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c + 1\/210*c**7 + 0 - 1\/40*c**6 - 5\/24*c**4 + 0*c**5 - 1\/3*c**3 - 32*c**2. What is the second derivative of w(h) wrt h?\nAnswer: 12*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001046 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31368*k + 31364*k - 96 = 5*m, -74 = -4*m + 2*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4061, -8157, -12253?\nAnswer: -16349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-60)*7*8\/(-26)*1794\/(-138)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 14 - 8*h**2 + (-3*h**2 + 0*h**2 + 2*h**2)*(-3 + 5 - 1) + 0*h**2 + 8*h**2 + 2*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/204*-68*2\/(-301)\nAnswer: -2\/301","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - 51 - 44 - ((-422)\/(-22) + (-20)\/110).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 192\/51 + -2. Let a = l - 73\/51. Let k be (-1)\/(-6)*(-6)\/9. Sort k, 2\/15, a in decreasing order.\nAnswer: 2\/15, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1256 - -1256. Which is the nearest to -0.4? (a) -1\/2 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 11*d**2 + 20*d + 14. What is the remainder when b(-13) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 1 = -4*w, -38465*c - 6 = -38467*c - 8*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.041 + 0.065. Let w = -177.894 - m. Let j = w + 177.23. Round j to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 31*k - 570. Determine f(6).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 347*a**3 + 1. Is u(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4414*x - 979901. Determine l(222).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-180)\/135)\/(1*1\/(-309))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b + 10 = 3*q, q - 8 = 2*b. Let t(x) = -5*x**2 - 2*x**3 + x**3 + q*x + 7 + 6*x. Is t(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1272 and 848?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 0*v**3 + 2*v**3 + 2*v**3 + v**3 - 8*v**3 + (0*v - 2*v + 0*v)*(0*v**2 + 4*v**2 - 2*v**2) - 3*v**3 - 4*v**3 + 5*v**3 + 2*v**3 - 4*v**3 + 0*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576975 and 70?\nAnswer: 1153950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 4*g - u, -g - g = -2*u + 38. Let x be -9*g\/24 - 7. Which is smaller: 316 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w**4 + 2*w**3 - 12*w**2 + 332*w + 4 wrt w?\nAnswer: -72*w**2 + 12*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*g - 21 + 8, 4*y + 2*g = -14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -7. Let f be n\/(-4) + (-5)\/30. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + r + 27 = 4*w, r - 48 = -3*w. Suppose -5*h + 273 = 5*v - 572, -5*h - 4*v = -841. Calculate the highest common factor of w and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/26 - -3\/13. Which is bigger: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*n + 28, 2*f - 1 - 1 = 0. Let h = -8 + n. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3968 - -3950. Which is smaller: j or -1.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(1 + (-6)\/9). Is 2\/a*1 - -60 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 9, e: 1, k: 1, x: 1, r: 2}. Give prob of picking 1 e, 2 r, and 1 s.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-1 - 0)*(2178\/(-81))\/((-590)\/(-531)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3403381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (426\/(-497))\/(2\/(-7)). Solve -3*j + 3*k = -6, -5*j + 5*k = -p*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63883, 63888, 63895, 63904, 63915, 63928, 63943?\nAnswer: 63960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 227, -0.09 in decreasing order.\nAnswer: 227, 5, 0, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 0*f - f)*(1 - 3 + 5) to c*f + x and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 3*t - 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 93 - 111 = -2*k, 4*k - b = 423. Calculate the highest common divisor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Let a = 12 + k. Solve -4*g = -4*p - 16, a = -0*g + 3*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.66 - 0.34. What is the nearest to -8 in o, -3, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and ((2\/(-9))\/((-3484)\/(-12261)))\/(-1).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28 - -1)*(-40)\/30. Suppose -3*l - l + z = 0. Let q = l + -9. Solve q*a = -5*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4557905 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 538644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(6171) - 1*sqrt(1275))*2)\/((sqrt(33) + (sqrt(33) - (2*sqrt(2112) + sqrt(2112) + sqrt(2112))) + sqrt(33))\/sqrt(11)*-1) + 2)**2.\nAnswer: 136*sqrt(17)\/29 + 23016\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -17, -14, -11, -8, -5?\n\"Answer: 3*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y + 10*y - 3*y + 11*y**5 - 9*y**2 wrt y.\nAnswer: 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u**2 - 8*u - 14. Let w be i(6). Let c be (-996)\/8 + -3 + 5\/w. Does c = -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 67, -5, -45 in ascending order.\nAnswer: -45, -5, 3, 14, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2 - 2*d**3 - 1 + 3*d**3 + d + d**3. Let i be t(2). Let q be -2*2*(-2 + 0). Solve -4*n = k + i, -5*n - 29 = 4*k - q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 - 14*v**2 + 5*v - 5. Let l(n) = -3*n**3 + 7*n**2 - 2*n + 2. Let b(x) = 5*l(x) + 2*z(x). Find the third derivative of b(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 57*c + 11. Calculate j(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 12, -6*b - 3 = -9*b - 3*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 634608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-41713)\/8. Let c = 5221 + t. Find the common denominator of (-194)\/(-24) - 4\/(-8) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 403900*o**2 - 201973*o**2 + 5*o - 201978*o**2 - o.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:41 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 69*x + 201 - 1018 - 2032 = 0 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3892566 and 25\/4146429?\nAnswer: 190735734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9355 = -2*y - 5*q, 23*y - 4710 = 22*y + 4*q. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.97 - -0.03. Let m = y - 12. Which is the smallest value? (a) -0.8 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14091 and 705012.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.5 + 1.5. Which is the closest to l? (a) 0.5 (b) 1\/5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3189 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 349, 0, 9.\nAnswer: 0, 1, 9, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -125?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94083578 by 7159.\nAnswer: -13142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 + 11*u**2 + 8*u + 25. Is o(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155*-0.041.\nAnswer: -6.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 65818*k**2 - 66486*k**2 + 4*k.\nAnswer: -668*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 571*v\/3 - 572\/3.\nAnswer: (v - 572)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34195985 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311208105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76134828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.12 - 15.1. Let n = 232\/5 - 46. Sort -2\/3, k, n.\nAnswer: -2\/3, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s - 4. Let w(u) = u - 1. Let b be (-4)\/5*(-60)\/24. Let o(v) = b*w(v) - f(v). Calculate the remainder when o(6) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-2)\/6)\/((-22)\/(-66)) + 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82163501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -605023?\nAnswer: 605013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuwwwwwwwuwuwuwuwww. Give prob of picking 1 u and 1 w.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9850 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 31 = 5. Suppose -40*z = -j*z - 3780. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 1.4. Let k = 0.3 + -0.1. Let s = -0.8 - k. Which is the closest to 0? (a) s (b) 0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25187, -100761, -226725, -403079, -629823?\nAnswer: -906957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 10*c + 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -3*b**4\/4 + 9*b**2\/2 + 6*b + 26. Suppose w(n) = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(((sqrt(176)*2 - sqrt(176)) + -3)**2 + (-1*sqrt(2673))\/sqrt(3)).\nAnswer: -743 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10148, -20308, -30466, -40622, -50776, -60928?\n\"Answer: d**2 - 10163*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-374)\/55 + 8)*(-9)\/(-6). Factor -9\/5*n**4 + 9\/5*n + 6\/5 - o*n**2 - 21\/5*n**3.\nAnswer: -3*(n + 1)**3*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3 + 15. Suppose 4*l = -s - 6. Let p be ((-5)\/10)\/(1\/(-10)). Which is the second smallest value? (a) 4 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5 - 80*w**4 + 792*w**3 + 320*w**2 - 3200*w = 0 for w.\nAnswer: -2, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 216808365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 25309 - 5725 = 0. Suppose -t = f + 1720 + 3184, f = t - l. Round f to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 188\/28 + 4\/14. Solve -4*w - q - 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 385, 389, 395, 403, 413, 425, 439?\n\"Answer: a**2 + a + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.98 + 6.02. Sort m, -5, -1 in decreasing order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56181 + 10034 = -5*g + k, 3*k + 9235 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -22. Let o be (-174)\/(-145)*(-5)\/(-3). Solve -c = o*a + 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/3)\/(-16))\/(2\/4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, s: 1, t: 2, x: 5, c: 3}. Give prob of picking 1 s, 1 t, and 1 q.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/(-28)*4\/(-3)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (1 - ((5 - 4) + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 1.40000025. What is z rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -14 + (18 - -4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19267, 38119, 56971?\nAnswer: 75823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:47 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/(-8)*-3*210\/15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3783*j**2 + 378291*j - 900.\nAnswer: 3*(j + 100)*(1261*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(500)*-2 + sqrt(500) - (sqrt(500)*-1 + -3 + sqrt(500)) - (-5 + (sqrt(500) - (sqrt(500) + -1 + sqrt(500))**2))*-6.\nAnswer: -12028 + 290*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a minute in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/536515 - -931926571\/4292120. Let n = u - 217. Let o = -0.2 + 0. What is the third smallest value in -0.6, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.35, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5139 is divided by 641?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**3 + 23*l**2 + 14*l - 5. Let d(k) = 5*k**3 - 11*k**2 - 7*k + 2. Let i(y) = 13*d(y) + 6*s(y). Let n be i(-4). Let w = 6 - n. Sort -5, 1, w.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 13. Let b be (2 - -2)*9\/12. Calculate the lowest common multiple of b - 3*(-2)\/(-6) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o + 467. Let g be w(-13). Solve -7*h + 72 = g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + ((-780)\/26)\/(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-42)\/(-6))*(-5)\/3. Suppose -2*y + 3 = g*i, -i - 3 = 3*y - 1. Solve 4 = z - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p**4 + 912*p**3 - 6155*p**2\/4 + 2575*p\/4 = 0. Calculate p.\nAnswer: -103, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((-192)\/15)\/(-2). Let p = s + 324\/35. Put 4, p, -4\/5 in descending order.\nAnswer: 4, p, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5535688055.\nAnswer: 5, 29, 38177159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 5, 3\/7, -5 in ascending order.\nAnswer: -5, -1\/8, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w - 1. Suppose -3*t = 0, 4*d = 4*t + 1 - 9. What is n(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3*u**2 - 2*u**3)*(8 - 2 + 10).\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = x, -3*v - 85 = -5*x - 129 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -118*r - 317. Calculate n(-5).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -26. Suppose 1 - u = -q. Suppose 2*v - 4 - q = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17733639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41572472, 83144942, 124717412?\nAnswer: 166289882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 7*d + 8. Let x be i(-8). Let o(y) = -y**3 + 4. Determine o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 + 1217 + 1 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + 3*215\/60. Let g(o) = o**2 - 12*o - 12. Determine g(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32597.99949101 - -32598. Round g to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-278)\/(-30) - (0 + -2). Sort 0.2, -0.5, p.\nAnswer: -0.5, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.4, -363.8, -42 in descending order.\nAnswer: -1\/4, -0.4, -42, -363.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20548, 41101, 61654?\n\"Answer: 20553*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158*p - 73*m = -2157*p + 354, 3*m + 26 = p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 1. Let i(o) = -o**2 + o. Let r be i(3). Let u = 5 + r. Determine x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, 0 in decreasing order.\nAnswer: 1, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgwtwttttygtty. Give prob of sequence gwyw.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1486156 at most -1486154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - -2.49. Let l = j - 2.2. Is l equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11b87b - -1?\nAnswer: 11b87c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -418*v - 77. Let x(h) = 11*h + 2. Calculate -2*s(i) - 77*x(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -505 + 354. Let n = 155 + c. Calculate the smallest common multiple of 3 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 2*u - 3*u)*(-38*u**3 + 697 - 697)*(4 + 0 - 1) in the form n*u**4 + m*u**3 + p*u**2 + t + w*u and give n.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58.55 and 1364178.\nAnswer: 1364119.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00076 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/(30\/(-48))*2\/12. Let c(h) be the first derivative of 4\/3*h + p*h**3 + 1\/12*h**4 + 3\/2*h**2 - 13. Suppose c(r) = 0. What is r?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*12\/72*14\/28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*t + 25935 = -9434. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u**5 - 105*u.\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, 3, 19 in decreasing order.\nAnswer: 19, 15, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:40 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-10))\/(2\/45). Suppose 5*n - x = -2*z + 3*z, 5*n + 2*z - 57 = 0. What is the smallest common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-291)\/(44523\/34))\/((-5)\/((-330)\/4)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5185 = -19873. Suppose -2358 = -18*g + y. List the prime factors of g.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + (-207820)\/2610 + (12\/27)\/(-1)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) 6451 (d) -2\/21 (e) 1\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -56. Let t be (-2)\/4*1260\/(-18). Let u = t - g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27162 is divided by 6698?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 9*q**2\/2 + 2*q - 120127. Let r(d) be the second derivative of 5*d**3\/3 + 3*d**2\/2 + d. Calculate 3*r(p) - 4*t(p).\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 2*h - 33, 4*h = 6*h + 2*t + t + t for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37048489553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157150 and 3850?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25074767 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-126))\/(1\/(-9)*-3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.29459 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2369717570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2774829 to the nearest integer?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 57 + 31 - 3)*((2 + 8 - 4)*(1 - 1 - q) + 5 - 5 + 2*q) as i + o*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 12*j + 3. Let c be w(-12). Suppose 0*x - 6 = -c*x. What is the second derivative of p**2 + 14*p - p**x - 4*p**5 - 17*p wrt p?\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 2, 0.2, -1, -4.\nAnswer: -47, -4, -1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-2)\/((-8)\/(-420)). Calculate the greatest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1394260, 2\/5 in descending order.\nAnswer: 1394260, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.5, 5, 0.6, -15, -4 in increasing order.\nAnswer: -15, -4, -0.5, 0.6, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:59 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91\/90 - -10\/9. Sort -1, o, -5 in descending order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 7*m**2 + 6*m - 5. Let v(l) = -l - 1. Let g(p) = q(p) + 6*v(p). List the prime factors of g(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 178. Let i = -142 + t. What is the nearest to 5 in -0.5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 19*k**2 - 6*k + 39. What are the prime factors of c(14)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39765224 divided by -1?\nAnswer: 39765224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -6*u**3 - 11*u**2\/2 - 106. Let t(m) = 10*m**2 + 6*m. Let k(i) = 6*r(i) + 11*t(i). Let y(l) = -75*l**2. Calculate y(k(n)).\nAnswer: -300*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.9 + -674.9?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 1362*l**2 + 161172*l + 1478520.\nAnswer: 3*(l + 10)*(l + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1966*n**2*s**2 - 70*n**2 + 2*s**3 wrt s?\nAnswer: -3932*n**2*s + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 553*q**2 + 26*q - 33. Does 116 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -1\/10, -14, -1\/5, 4\/17, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.2, 2\/9, 1\/5, 4053, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010173 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2938)\/18193*-69)\/(((-15)\/(-126))\/(1\/9))\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 4. Let v be j(6). Suppose -v - 2 = -4*p. Solve 0 = -5*s - p - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/3 - 5284*v**2\/3 + 53740*v - 405300.\nAnswer: -4*(v - 15)**2*(v + 1351)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7 or 1.457?\nAnswer: 1.457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 8 - 6*q**3 - q**3 + 27 + 10*q**3 + 5*q**2 - 3*q**4 as a*q**4 + v + s*q**3 + d*q + z*q**2 and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p + 14. Suppose s + 27 = -5*z - 16, 0 = 5*z - 2*s + 49. Is i(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 41. Give v(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79222003 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6016104 (base 8) to base 15.\nAnswer: -2132a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((-6)\/(-2))*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 613386\/5 + -9895801\/80. Let k = 1020 + x. Find the common denominator of 87\/4 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*u**2 + 86*o*u*z**3 + 2*u**2*z**3 + 1487*u**2 wrt o.\nAnswer: u**2 + 86*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - r = -5*r + 252, y = r + 55. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 274341\nAnswer: 274341.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 283.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001724 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 869285028 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -612*c**3 + c**2 + c + 2. Suppose 0 = -5*a + 8 + 22. Suppose -2*w - r - a = 0, r = 4*w - 0*r + 6. Let l be k(w). Round l to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4322, -18150, -41192, -73448, -114918, -165602, -225500?\nAnswer: -294612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + -1 - ((3 - -1) + 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4287, 8250, 12203, 16140, 20055, 23942?\nAnswer: 27795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)*u*(u**(-2\/43)*u)\/u)\/(u**10\/u*u\/(u*u**6*u)) assuming u is positive.\nAnswer: u**(-227\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420120512 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2132420 to the nearest ten thousand.\nAnswer: -2130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11178 divided by -6.\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**5 + 170 - 4*a - 170 wrt a?\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*u + 45, -431*u + 436*u = -60 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 111 = 885. Let y = 494 - r. Suppose p + 5*m = y, -4*p + 4*m = -p - 448. Calculate the highest common factor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8871*o + 8*o**3 - 9 + 28 - 19.\nAnswer: 8*o**3 + 8871*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i - 6*i**5 + 3*i**5 - i + 22*i**5 wrt i?\nAnswer: 380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) -1\/5 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3 - 3*q**3 + 5*q - 2*q**3 + 4*q**3 + 3*q**2. What is the units digit of i(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (29 + -25 + (-8 - 2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, -5, 2 in decreasing order.\nAnswer: 2, -2, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/10 - l**4\/12 + l**3\/6 + l**2\/2 - 6*l. Let t be h(-1). Sort -2, 2\/5, t in ascending order.\nAnswer: t, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -25*c + 1. Let n(f) = 21*f - 1. Let j(u) = -6*n(u) - 5*w(u). Let x(q) be the first derivative of 21*q**2\/2 - 28*q - 17. What is -28*j(o) - x(o)?\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + -9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861475 is divided by 304.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/3 + 4*r**2 - 9*r - 4. Let w = -131 - -170. Suppose w - 21 = 3*k. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -4)*(-9)\/2. Suppose 0 - a = -3*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 22*f**2 - 13552*f.\nAnswer: 2*f*(f - 77)*(f + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-1)*2\/6. Suppose -2*t = -3*z - 7, 4*z + 9 = b*t + 5*z. Suppose t*l - 6*l + 92 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88004.232 rounded to the nearest 100?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + -62?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hui when three letters picked without replacement from {o: 1, i: 1, u: 2, h: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m**3 - 16 + 7*m + 20*m**2 + m + 9*m - m = 0 for m.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -971 and 1?\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12*2*-2. Let z(k) = -k**2 - 15*k + 34. Let m be z(-17). Let u be s\/(3\/(-9)*-3)*m. Solve u + 1 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 8*r**2 + 2 - 2*r**2 - 5*r**2 - 2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 135, 314, 555, 852, 1199?\n\"Answer: -u**3 + 40*u**2 - 2*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5264 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {j: 2, u: 1, w: 2, o: 2, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 5*j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89754487.000093 + -89754606. Let q = 139 - 258. Let d = r - q. What is d rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 24 + 32. What is the greatest common divisor of c and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -20997*x. Let l(i) = -7*i - 153. Give l(f(r)).\nAnswer: 146979*r - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 4 - 1)*(-2 + 4 - 4) + 0 + 1 - 3)*(-593 + 59*u + 593) to the form b*u + x and give b.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 13 = -2*p + r, 0 = -p - 5*r + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-252)\/(-24))\/(3\/6). Suppose t*w + 357 = 38*w. What is the lowest common multiple of 84 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 67*r - 68*r - 11, -2*r - 44 = 4*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.2 (c) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.6 (b) 0.0824 (c) 0.8 (d) 0 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 4, c: 8, z: 2}. What is prob of sequence pa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144220273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j**2. Let g(s) be the third derivative of -53*s**5\/20 - 14916*s**2. What is d(g(x))?\nAnswer: -278091*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749 greater than 7748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21861256 to the nearest 100000.\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -24. Differentiate -l + 2 - 7*f + 2 wrt f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/6 - 6\/(-9). Let i = 22 + -14. Sort u, i, 1 in decreasing order.\nAnswer: i, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134307*u + 134267*u - 648 + 88 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 12. Let x = 12 + -13. Let h be (-1)\/((-1)\/x) - 2. Is h != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.225 >= -169637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-356)\/(-3))\/(((-30)\/9)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {b: 10, q: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -220, -317, -398, -457, -488, -485, -442?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**4\/6 + 13*v**3\/6 + 6*v**2. Let d = -664 + 654. Calculate the remainder when l(d) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minus 773?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -141*j. Let q(t) = 9*t**2 + 7*t. What is c(q(b))?\nAnswer: -1269*b**2 - 987*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -2477 (c) 2\/57 (d) 4 (e) -0.1 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4457\/1*(265 - 263)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 22 = 8*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2070549 is divided by 17697.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f = 124*f + 6 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -104, -154, -188, -200?\n\"Answer: m**3 - m**2 - 64*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 30. Let i = 35 - k. What is the closest to 0.1 in -2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 20*h + 9318. What are the prime factors of h?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2985*s - 3324*s + 10170 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-163)\/(-1630))*((-108)\/8)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 10 - 2*c**2 - 26 - c - 3*c**2 + 3*c**2 + 5*c**2 + (2*c - 2*c + 2*c)*(-2*c - 3 + 3) + (3*c**2 + 3*c**2 - 4*c**2)*(-4 + 2 + 1).\nAnswer: -3*c**2 - c - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 - 207. What is the remainder when 72 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 641, 1285, 1931, 2579, 3229?\n\"Answer: v**2 + 641*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145722469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/((-672)\/81))\/6.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 2807*z - 2. Let g(a) = -6*a. What is g(x(l))?\nAnswer: 6*l**2 + 16842*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38629 is divided by 4446?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2990726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06062 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -138413*y - 1. Let t(i) = -42*i. Determine j(t(f)).\nAnswer: 5813346*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 16*q + 7. Let z be p(-14). Suppose -z*t = -43*t + 40. Solve -2*m = -m - t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1760, 3246, 4732?\nAnswer: 6218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3594258 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let o = n + 5. Solve -o*h - 5 = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 302 - -203?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.51, 0.09, -1\/5, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/12)\/(297\/1512) - (-13 - -7)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114.5 less than -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/27638 and -77\/182836.\nAnswer: 2376868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(1900\/627))\/((21\/(-112))\/((-9)\/(-12)))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z**2 - z**2 - 5*z**2)*(3*z**2 - 2*z**2 + 0*z**2) + 2*z**2 + 5*z**4 + z - 3*z**4 + 0*z)*(-1 + 1 + 2).\nAnswer: -6*z**4 + 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5 - 32*u**4 + 44*u**3 + 32*u**2 - 48*u = 0.\nAnswer: -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218.936 + 219. Let s = w - 0.064. Let q be (-4)\/10 - (-28)\/45. Which is the third biggest value? (a) 5 (b) s (c) 0.01 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -4597\/204?\nAnswer: -4597\/204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 422060 rounded to the nearest 1000?\nAnswer: 422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + 21*x**2 - 23*x**2 - 3*x**3 + 2*x**3 as f*x + g*x**3 + a*x**2 + o*x**4 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.1868, -0.058, -1?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15*h - 3. Let v(b) = -b. Let s(r) = 2*v(r) + x(r). Is s(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/8 - 2*h**3\/3 + 6*h**2. Let w be q(4). Solve -4*x - w = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18342, 0.07, 0, 0.5, 1\/5 in descending order.\nAnswer: 18342, 0.5, 1\/5, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = -4*r, 59*r - 61*r = 4*k - 12. Suppose -k*j + 3*a = -0*j + 6, 0 = 3*j + a - 10. Factor 0*v - 3\/5*v**3 + 0 + 0*v**j - 3\/5*v**5 + 6\/5*v**4.\nAnswer: -3*v**3*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sjjjrjjrjssrjr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h**3 + 1811*h**2 + 166*h - 2270. Determine c(151).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 7*n + 1. Let b(k) = -4*k**4 + 20*k**3 - 8*k**2 - 8*k - 5. Let g(j) = j**4 + j**3 - j**2 - j - 1. Let q(h) = n*b(h) + 5*g(h). Solve q(s) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 9*f - 5 - 4 = 0, 2*f = -4*q - 32 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 28*x - 4 = 2*d, 0 = 3*x - 5*d - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165734933\/900 - -184150. Calculate the common denominator of 83\/30 and x.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -651?\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpwpfodwvvfpwof. What is prob of picking 1 f, 2 o, and 1 w?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.384 from -9678451.8.\nAnswer: -9678451.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3167210816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 5*z - 20 = -3*u, u - 5*z + 25 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375505, 375518, 375553, 375622, 375737, 375910?\nAnswer: 376153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*q + 12 = 7*q, a - 5*q + 19 = 0. Sort 0.2, -3\/8, -83, a, 5 in increasing order.\nAnswer: -83, -3\/8, 0.2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6))**(9\/13)\/(l**(-7)\/l*l*l*l*(l\/(l**(-1\/17)\/l))\/l) assuming l is positive.\nAnswer: l**(-47\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/24 + t**3\/3 + t**2 - 1. Let f(m) = 42*m**2 - m + 10. Let z(g) = -f(g) - o(g). Differentiate z(u) with respect to u.\nAnswer: -84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, x: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16*19.89\nAnswer: 318.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 3*d + 5. Let c be (-2)\/(-11) - (-530)\/110. Let a be ((-2)\/c)\/((-3)\/(-30)). Let f be k(a). Solve 2*l - 11 = -f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -10\/17, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -86638 (b) 0 (c) -1 (d) -2\/67 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42656, 85264, 127874, 170486, 213100?\nAnswer: 255716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = 3*l - 1, -4*a + 4 = -2*l. Suppose -66*t = 31*t + 15*t + 336. What is the nearest to a in t, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6525.121 millilitres in litres?\nAnswer: 6.525121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let m(w) = 9*w**2 + 546*w - 26. Let l(f) = 4*f**2 + 274*f - 12. Let b(n) = -13*l(n) + 6*m(n). Give b(z(d)).\nAnswer: 2*d**2 + 286*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -568, 2, -2, -4 in descending order.\nAnswer: 5, 2, -2, -4, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/7, 2, -6\/5, 3\/5, 4, -1\/2, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 1, n: 1, l: 1, y: 1, d: 2}. Give prob of sequence sdz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 589630, 590099, 590570, 591043, 591518, 591995, 592474?\nAnswer: 592955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -568 in increasing order.\nAnswer: -568, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -46\/2145 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001609 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.46353163 to three dps.\nAnswer: -4.464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - ((-128)\/6 + (-56)\/(-42)). Suppose -h*m - 4056 = -21*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3893, -7794, -11673, -15518, -19317, -23058?\nAnswer: -26729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose -2*t = -t - g. Let l = -1 - -11. Solve -t*h = 30 - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 2000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(-1)\/2*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 17791 = -22959. Suppose 2*s + 0*s = 8, 2*s = 3*g - u. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/6 + 2\/1. Let b = 19109 - 19134. What is the third biggest value in -0.2, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -q - 9, 5*q - 8 + 28 = -5*i. Let n = 2\/1821 + 3628\/12747. Which is the closest to -1? (a) 0 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 317\/62 - 174\/31. Let c = -0.31 + 0.15. Let u = 0.26 + c. What is the closest to u in j, -5\/3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) 4 (c) -155 (d) -60\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))\/j*j*j*j*j**(-7\/4))\/((j\/(j\/(j\/(j*j**9\/j*j))*j)*j)\/j*j*j*j**(3\/11)) assuming j is positive.\nAnswer: j**(1887\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = 6. Suppose 0 = 5*g - 85 + 50. What is the derivative of 41*l**r + 80*l - 80*l - g wrt l?\nAnswer: 82*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41\/7, 2\/9, -0.14, -2\/5, 5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 58, 2, -3, 21, -2, -1 in descending order.\nAnswer: 58, 21, 3, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - l - 456, -2*l + 111 + 231 = 3*u. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(0 - c + 0) - 12*c + 1 + 3 + 4*c.\nAnswer: -11*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 400, 424, 456, 496, 544, 600?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*b**4 - 3*b**4 - 9*b**2 + 0*b**4 + 11*b**2 + 3*b to the form d*b**2 + y + m*b**4 + s*b + g*b**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 458*p + 457*p - 5)*(0*p - 42*p + 8*p)*(2 - 5 + 2).\nAnswer: -34*p**2 + 850*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-2)*(-22)\/(-154) - 2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 5*n + 15. Let f be x(-5). Calculate the remainder when (f + 1)*(-2)\/(-4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12540*g - 1024689 = 5437*g for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -123?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197900011 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = d + 2*d, 2*o = 5*d - 21. Suppose d*i - 20 = -5*h, 0 = 4*i + 2*h - 14 + 4. Are i and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 14}. Give prob of sequence wv.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - -3508.\nAnswer: 3507.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - (-136)\/(-3))\/((-1)\/21). Let d = -220 + v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 1, v: 2, h: 1, m: 2, f: 3}. Give prob of sequence vm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 198.9 (b) -1\/8 (c) -0.41 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 3\/8, -0.2, 7 in ascending order.\nAnswer: -56, -0.2, 3\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -80. Let h = 11 - 8. Let k = h + 5. Calculate the lowest common multiple of m and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3048601.4185 minus -0.1?\nAnswer: -3048601.3185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 - -119. Suppose -2*j - r + 13 + x = 0, 0 = 2*j - 2*r - 36. Calculate the remainder when 59 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, 4, 0.2, -2, -0.2, 0.1 in increasing order.\nAnswer: -2, -0.2, 0.1, 0.2, 4, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(105) - -2*sqrt(105)*-1 - sqrt(105))\/(sqrt(20)\/sqrt(16)))\/((1*sqrt(216)*-3)\/sqrt(8)).\nAnswer: 16*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjjjczescaccajjcs. What is prob of sequence zc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 24 = 4*l - 4*m, 3 = 2*l - m. Put l, 1, 0 in descending order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 34. Let a = 2.02 - j. Let f = -35 - -176\/5. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -55*j + 21. Let v be 12*(15\/(-6))\/5. What are the prime factors of u(v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*d - 1237 + 1237)*(75*d**2 - 34*d**4 - 153*d**2 + 78*d**2).\nAnswer: -2210*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3 + (-3 + 6 - 4)*(2 - 2 + 1))*(-a + 5*a - a + 0 + 2*a + 0 + (-1 + 5 - 2)*(4 - 4 + a)) in the form s*a + g and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssusssss. Give prob of picking 1 u and 1 s.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/9)\/y*y*y\/y**16*y)\/((y\/(y\/(y\/((y**(-12)\/y*y)\/y)))*y)\/(y\/(y**12*y))) assuming y is positive.\nAnswer: y**(-365\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 150 + -64 + 1 + -50\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -177b7?\nAnswer: 177bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + r**2 + r**2)*(r - 2*r + 2*r) + 17976*r**2 + 2*r**3 - 2338*r + 729*r - 17978*r**2 to the form y*r**2 + z*r**3 + j + o*r and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -25\/2 (b) -1\/13 (c) 28.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + j - 12 = -j, 3*k - j = 18. What is the smallest common multiple of 22 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*x**2 - 17*x**2 + 2.\nAnswer: -25*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.01, 0.5, -3, -5696, 0.7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540675110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, 183, 1202, 2613, 4422, 6635?\nAnswer: 9258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 90 = -a, -g = -2*a + g + 210. Suppose -2*u + 2*o + a = 6*o, 3*u = 3*o + 126. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15*n - 88 = 0. Let j be ((-9)\/(-45))\/(n\/10). Let l = -7 - -6.5. Which is the nearest to j? (a) 2\/3 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + (3 + sqrt(228)\/sqrt(48) + 3 - (4 + 1 + sqrt(171) + sqrt(171) + sqrt(171) - (sqrt(171) + 1 + 0))))**2.\nAnswer: 44*sqrt(19) + 2363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z - 178 = -8. Let s = -29\/69 - -2\/23. Which is the closest to s? (a) z (b) -2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625597989 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 5*z**8\/336 + z**7\/21 - 7*z**6\/24 + z**5\/3 - z**2 + 48*z. Factor u(n).\nAnswer: 5*n**2*(n - 1)**2*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 35092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 117543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 + 32*r - 32*r - 21*r**2 - 20*r**2 + 63*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 611, 1224, 1837?\n\"Answer: 613*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-2)\/6 + (-15)\/90).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -14 (d) 16 (e) 0.4 (f) -0.4 (g) 0.24\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*p**2 + 428*p + 120.\nAnswer: -4*(p - 10)*(11*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9592 or -9586?\nAnswer: -9586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (16 - (2 + 11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 7*s**2)*((-5 + 3 + 4)*(-5*s + 3*s + s) + s + 4*s - 6*s)*(-s + 4*s - 2*s).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:41 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146577 is divided by 36385?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37184814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2120*b - 4228 + 8453 - 4225 to the form i*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 143. Let r = -50 + d. Let b be 1\/(-2)*r + (1 - 4). Is b != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 + 1121 = -4*r. Is r\/((4 - -6)\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2 - 3)\/((-4)\/6). Find the second derivative of 3*m - 76*m**3 + 14*m + 48*m**f wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 64 = 15*l + 4*m - 3, -2*l - 4 = -4*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1912\/14115 - 2\/941. Let n = 2\/93 + -97\/186. Is n less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6314 - -1.62. Round v to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-145)\/(-15) + (-4)\/6. Calculate the greatest common factor of 6 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 4190*v**3 - 4202*v**3 + 8390*v**3 - v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/16)\/(77\/(-28)). Which is the second biggest value? (a) -0.3 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4495 = -3*c + 13193. Suppose -4*u + c = h, 3*u + 29503 = 4*h + h. What is h rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11065512 is divided by 8264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r - 5. Let l(n) = -143*n + 995. Let d be l(7). Let o(t) = 3*t + 2. Calculate d*m(i) - 13*o(i).\nAnswer: 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8234447, -16468903, -24703359, -32937815, -41172271, -49406727?\nAnswer: -57641183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k - 502. Let g be z(-42). Solve 0 = a - g*s + 9, 0*a + 4*s = -5*a + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27394*z = 27367*z + 54 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -117. Calculate the remainder when 70 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -133. Suppose -3*i = -10 - 5. Calculate the remainder when v is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 3\/80, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, 0.2, 3\/80, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -126*v - 152*v + 62*v + 0*v + 0*v - 2*v + (-1 - 2 + 2)*(3*v + v - 6*v) + 4*v + v - 3*v.\nAnswer: -214*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.5044m to millimeters.\nAnswer: 67504.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from caffcrcqfr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.5, 4\/13, -5, -4, 22, 2\/819?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777 and 278684?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 28 + y**2 + 32.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*c*o**3 - 6*c*r - o**3*r**4 + o**3 + o**2*r wrt r?\nAnswer: -6*c - 4*o**3*r**3 + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1870464, 3740927, 5611392, 7481859, 9352328, 11222799, 13093272?\nAnswer: 14963747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -579, -879, -1179, -1479?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 39 - s + s. Suppose 5 = 4*n + 1. Calculate the least common multiple of n and p(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 5*q - 4. Calculate the remainder when -2*((-18)\/(-16))\/(36\/(-336)) is divided by v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 360, 861, 1588, 2547?\n\"Answer: y**3 + 104*y**2 - 38*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37336 = 37335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n*n)**(-43)\/(n**(2\/19)\/(n\/n**(-2)))*(n**(-1\/3))**5*(n*n\/n**(2\/9))**(-2\/41) assuming n is positive.\nAnswer: n**(8002\/7011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:40 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2. Let m(x) = 2486*x. Give q(m(t)).\nAnswer: -24720784*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 17 = -3*v, 241*g = 242*g - 2*v + 20 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3993 is divided by 63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 10\/7, 1\/5, 2380, -0.8, -8?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 1 = -7*f. Solve f = 3*b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3973, -3431, -1955, 923, 5671?\n\"Answer: 78*c**3 - c**2 - c - 4049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15595 + -10758. List the prime factors of v.\nAnswer: 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + b**2 - 3*b**2)*(15106*b + 12327*b + 257*b + 8503*b - 1021*b).\nAnswer: 35172*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 302?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3637 + -765?\nAnswer: 2a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 779491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*k + 13278 = 25049 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22 + 6842\/(-308))\/((-162)\/(-24) + -6). Suppose -2*k = -3*y - 11, 0 = y - 4*k + 9 + 8. What is the third biggest value in v, 8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-371)\/70 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187.63 + -199.63. Let a = 2.05 + -0.05. What is the smallest value in s, -4, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3377730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.03854 millennia in years?\nAnswer: 55038.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-18)*6\/4. Let q = 0.5 + -3.4. Let t = -3 - q. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144631865 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1146 or -1147?\nAnswer: -1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q + 108*q = -2. Let v(h) = -h**3 + h**2. Let j(k) = -5*k**2 - 17*k**2 + 21*k**2. Suppose 2*y + 1 = y. Give q*j(m) + y*v(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/24 - 7*j**3\/3 - 62*j**2 - 1. Give l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 29, 25, 19, 11, 1, -11?\n\"Answer: -c**2 + c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5152.2 + 6011.34. Let f = -870 + g. Round f to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 262509.\nAnswer: -76\/262509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18309 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 7*w - 91. Is l(-19) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13463873?\nAnswer: 193, 69761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 39. Let w be (-2)\/t - 110*(-15)\/(-18). Let r = w + 93. What is the smallest common multiple of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1554163 (base 7) to base 2.\nAnswer: 110100100001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/7 - 3666*a\/7 + 1119963\/7 = 0.\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:43 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5033471 months in decades?\nAnswer: 0.0125278925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.97 + -0.03. Let i = -5 - d. Let f = 0.00000077 + i. What is f rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8619 - 8615. Let j = -6 - -6.05. Which is the smallest value? (a) h (b) -3 (c) -1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 11*t**2 - 12*t + 5. Let p be a(12). Solve 0 = 4*h + 2*w - 2, -6*h - 18 = -3*h - p*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 26*n**2 + 385*n - 3949. Calculate u(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281606 minus -201539?\nAnswer: -1080067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 94404*p + 6366528 = 0. Calculate p.\nAnswer: -336\/5, 18948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/3 + 2980*k**3\/9 + 994*k**2\/9 = 0.\nAnswer: -1\/3, 0, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18*p**3 - 4*p**2 + 2*p. Let j be d(2). Suppose -4*t - 428 = -476. Calculate the greatest common divisor of t and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 plus -2900?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (28 - 1) + -90 + -20?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4792907?\nAnswer: 7, 659, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 30418.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 30 + 10. Suppose -g*o + 3*r = -79, -4*r + r + 19 = 2*o. Let b = 12 + 2. What is the highest common divisor of b and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (5 - (-1 + 3)). Suppose c*p + 5 = 41. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -2. Let r = -12 - -19. Let o = r + -6.5. Which is the third smallest value? (a) o (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = -11*q + 29*q + 5*g + 72, 2*g + 23 - 1 = -14*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2466, 9854, 22168, 39408, 61574?\n\"Answer: 2463*c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -220, -341, -466?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4)*-2)\/(777\/14)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 3*v - 75 - 5 - 3*v as b + y*v and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8921592 to the power of 1\/2, to the nearest integer?\nAnswer: 2987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let b(z) be the third derivative of -537*z**5\/10 + 796*z**2. Determine t(b(s)).\nAnswer: -20762568*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.4874 decades in years?\nAnswer: 294.874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554.69 less than -0.2?\nAnswer: -1554.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4251 - -800. List the prime factors of c.\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 1 - 1)*(2*f**2 - 3*f**2 - 3*f**2) + f**3 - 2*f**3 + 0*f**3 - 2 + 2 + 4*f**3 + 9*f**3 - 4*f**3 - 43*f**3.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25166*b**6 - 16536*b**2 wrt b.\nAnswer: -3019920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -b1615 (base 12) to base 15\nAnswer: -48555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0)*(-1 - 1 + 4) + (-j + 3 - 3)*(-7 + 5 - 11).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/2)\/(3 + -2) - -43225 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - 35. Let x be f(-5). Let k = -4\/15 - -14\/15. Which is the biggest value? (a) x (b) k (c) -3\/8 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14.147 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 1. Let g(w) = w**3 + 3*w**2 - 8*w - 1. Calculate g(q) + 2*r(q).\nAnswer: q**3 + 3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122 - -2310023220?\nAnswer: 2310031002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -1, 0.1, -0.2 in increasing order.\nAnswer: -3, -1, -0.2, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -303*t**3 - 121 wrt t?\nAnswer: -909*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**3 + 2866 + 4*p + 36601*p**2 - 3*p**3 - 36964*p**2 wrt p?\nAnswer: -3*p**2 - 726*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from gjtmgmgjxj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 - 910*j - 6468 = 0. What is j?\nAnswer: -7, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 218*m**2 - m + m**3 + 0*m**3 - 113*m**2 - 11*m**4 - 9*m**4 - 109*m**2 to the form b*m**3 + z*m + u*m**2 + k*m**4 + y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -163956, -327738, -491520?\n\"Answer: -163782*z - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 286813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 419869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16992*l**3 + 921*l**2 + 26885714*l wrt l?\nAnswer: -101952*l + 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.05 (b) -22 (c) -93.2 (d) -2 (e) -1 (f) -3\/5 (g) 0.7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + o**2 - 12*o + 25*o - 128 + o**3 - 9*o - 2*o**4 to the form b + l*o**3 + y*o + a*o**2 + t*o**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54530154 (base 6) in base 13?\nAnswer: 4506b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 270280.9994 + -270308. Let d = j + 27. Round d to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)**(-21)*i**(10\/3)\/(i*(i\/i**(3\/5)*i*i)\/i*i) assuming i is positive.\nAnswer: i**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -48. Let l = -28 - d. Factor 0 + 1\/4*y**l + 1\/4*y.\nAnswer: y*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 9 + 8 - 11.\nAnswer: 4*a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c - 15. Let j be 36*c\/((-60)\/(-9)). Let p = -15 - j. Solve 5*w - 2*k + p = k, 12 = -2*w + 3*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:19 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (110\/(-15) - -4)*312\/20. Sort 1, 0, -4, n.\nAnswer: n, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -33*h**4\/4 - 76*h**3\/3 + h**2 - 5. Find the first derivative of r(w) wrt w.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1 (c) -5 (d) 6 (e) -0.22 (f) -21\/68\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10822358 or -10822357?\nAnswer: -10822358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3778 and 1.3.\nAnswer: -6.99114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2407, 9785, 22081, 39295?\n\"Answer: 2459*u**2 + u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1009 minus 1?\nAnswer: -0.8991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 10211*o - 10210*o - 4, 3*j + 6 = -3*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10224480, 10224475, 10224470, 10224465, 10224460?\n\"Answer: -5*b + 10224485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*u + 59, b = 2*u + 1257 - 1271 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -17*p + 37. Let l be o(2). Is l\/((-66)\/(-4)) - 1408603\/(-979) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r + 8. Let k(j) = 8*j**2 + 3*j - 3. Is k(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:42 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 674054 and 1272.\nAnswer: 8088648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 891*l**5 - 1162*l**5 + 643*l**5 + (0*l - l + 3*l)*(0*l + 0*l + 2*l**4) - 2*l**5 + 0*l**3 + 0*l**3.\nAnswer: 374*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 27590559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -53436 in ascending order.\nAnswer: -53436, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12931 by 18.\nAnswer: 12931\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 31*j - 53 = 5*q, -5*j + 7 = -4*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 43*b + 25. What are the prime factors of z(2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412 (base 11) to base 2.\nAnswer: 111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + 12\/(6 + 6). Solve 3*s + 2*s = 4*i - r, i = -2*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + 126094443\/(-9). Let o = 1351478 - t. Let p = 22661971 - o. What is p rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 3*y - 6, 0 = -25*i + 20*i + 2*y + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.0327, -1\/6, -0.07, 1\/10?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(3*sqrt(108)\/sqrt(9) + sqrt(12)) + sqrt(325) + sqrt(325) + (sqrt(325) - (-5 + (sqrt(325)*2)**2 + sqrt(325))).\nAnswer: -1295 + 41*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*k + 3 = 365*k + 4*q + 107, -124 = 5*k - q for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 945b (base 15) to base 16.\nAnswer: 7a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/8 - 420733*f**2\/8 + 210367*f\/4 = 0?\nAnswer: -420734, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5 (c) -93.9 (d) 1\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 368\/5, 24, -548?\nAnswer: 368\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*a - a = -15, -4*a + 6 = 3*v. Differentiate -v + 2 + 2*d**3 + 5*d - 5*d wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*z + 4243 - 2653 = -5802 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((((s*(s*s*s\/(s\/(s**(-1\/3)*s))*s)\/s*s)\/s)\/s)\/s))\/(s\/(s**(2\/5)*s))*(s\/(s\/(s\/(s**(-1\/5)*s))))**(-3\/46) assuming s is positive.\nAnswer: s**(-193\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 4. Let u be g(-3). Let b(t) = 4*t + 0*t**2 + t**2 - 1 + 2*t**u. Let a be b(-3). Calculate the highest common divisor of a and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82699*p + 14 = -3*f - 82694*p - 12, f = 4*p - 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 278 - 5?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 91673.9 to the nearest one thousand.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3937?\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -23 - 7. Let p(c) be the second derivative of 1\/9*c**u + 1\/6*c**2 - 4*c + 1\/36*c**4 + 0. Suppose p(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134151?\nAnswer: 3, 97, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 8. Suppose 0 = -s - 1973 + 1968. Determine q(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06548 - 0.03172. Sort -0.07, k, 4\/5 in decreasing order.\nAnswer: 4\/5, -0.07, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 8*s - 2. Let o be l(6). Suppose 16 = 5*p - 19. Suppose o*t - 1338 = p*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/11 - 20\/77. What is the closest to 1 in 0, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**2 - 126*b**2 - 27*b**2 + 5*b**2 as d*b + p + f*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - 11 - 804816\/(-83835)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -822.5, 67, -2\/5, 4, -0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.4 + -46. Let w = 0.6 - 0.1. Sort w, 2\/9, g in decreasing order.\nAnswer: w, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-1750))\/(1 + 3\/(-5)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -50*p - 7. Let n be l(-5). Suppose 0*x = 3*x - n. Suppose 5*q - 141 = -4*o, 6*o - q = 4*o + x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 12*g - 51 = 0. What is the remainder when 43 is divided by (3 - (3 - -2)) + g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23.55162 grams?\nAnswer: 0.02355162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03040742 to four dps.\nAnswer: 0.0304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -15 (c) 167\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -608, -2364, -5272, -9332, -14544, -20908?\nAnswer: -28424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-7) + 2 + (-613)\/(-7). Suppose -a = -14*k - 8*k. Solve k*s + m - 17 = 0, 5*s + 1 = 3*m + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 1. Let b be q(0). Let k be b\/1 - (-55)\/(-75). Let t = 96 - 95.7. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2239, -2389, -2563, -2761, -2983, -3229, -3499?\n\"Answer: -12*b**2 - 114*b - 2113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:19 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (4 + -1 - (-48 + 44))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h - c, h = 4*c - 9*c + 23. Suppose 7*y - 5*u = 12*y, -u = 0. Sort y, h, 2, -2 in increasing order.\nAnswer: -2, y, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 7*b. Let m(k) = -12*k**2 + 14*k. Let d(y) = -5*l(y) - 2*m(y). Determine d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 5*i - 29, 4*i + 17 = -2*s + 45 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 5*h + 5. Let k(z) = -z**3 + 2*z - 2. Suppose -g + 1 = -2. Let j be 15\/g*(0 - 1). Determine j*k(y) - 2*i(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 784931 less than or equal to 784931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -78 (c) -2\/11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/17, 1\/5, 10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -686 + 661.48. Let i = 9.04 - d. Let v = 33 - i. Round v to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 894288 and 298096.\nAnswer: 894288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 692 and 519.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/63, -2.8, 0.1, 5, -205 in decreasing order.\nAnswer: 5, 0.1, 2\/63, -2.8, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 31. Let i be (-2)\/w - (-5)\/(-20). Solve i*o = 4*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36108 and 213993.\nAnswer: 14551524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtd when four letters picked without replacement from tddddtttttdttt.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.755 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807509 = 8*i + 212325. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:50 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19 (b) -2\/35 (c) 9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -139.59, 6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**3*y**4 - 19*j**3*y**3 + 999*j**3*y**2 + 4*j*y**4 - 3*y**2 - 6*y wrt y.\nAnswer: 336*j**3*y - 114*j**3 + 96*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*3\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**3\/3 + 956*i**2 - 456968*i - 1553. Factor s(q).\nAnswer: -2*(q - 478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -445 - -467. Let o(d) = -d + 10. Let m be o(-6). Let p = m - -2. What is the smallest common multiple of p and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 10*o = -2*z - 6, -3*z - 2*o = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3463655 or -3?\nAnswer: -0.3463655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/5 - 2*z**3\/5 - 7*z**2\/5 + 4*z - 12\/5.\nAnswer: (z - 2)**2*(z - 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7695208 and 1279364.\nAnswer: 4756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.4, 0.5, 1, -11\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 17*w**2 - 15*w + 3. Determine g(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36980274 divided by 26358.\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(s - 4*s + 0*s)*(0*s - s + 7*s) as n*s**2 + u*s + h and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 3*q**2 - 2*q + 1. Determine a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0462674 rounded to 5 dps?\nAnswer: 0.04627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let b(g) = -g - 8688. Calculate y(b(i)).\nAnswer: -i**2 - 17376*i - 75481344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 831104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.929891mm?\nAnswer: 0.000008929891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((792\/(-15))\/11)\/(4\/(-10)). Suppose -h*s - 4 = -14*s. Solve 14 = 2*f + 2*g, 2 + 4 = -s*f + 3*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 2\/71, -3, 3, -0.1, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:33 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 7\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**3 - 5*p**2 + p + 2. What is the remainder when 3669 is divided by c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(-3*z**2 + z**2 + z**2) - 6 + 6 + 2*z**2 - 6*z**2 + 2*z**2 - 5*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17740, -17756, -17760, -17746, -17708, -17640, -17536?\n\"Answer: l**3 - 23*l - 17718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 3*k. Let y(s) be the third derivative of -3*s**5\/20 + s**4\/4 - s**2 - 10*s. Calculate -11*a(z) - 6*y(z).\nAnswer: -z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27572 - -27539.683. Round m to one dp.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l + 1. Suppose -2*g + 2 + 0 = -2*q, -3*q = -4*g. Let x be (-9)\/g*(-8)\/8. Let a(h) = -1. Determine x*a(j) - v(j).\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 12*x - 13. Let w be k(6). Let j = w - -15. Let i be 868\/(-49) + j\/(-7). What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -41, -2\/5, -5 in descending order.\nAnswer: -2\/5, -5, -41, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -3)\/((-2)\/3). Suppose 3*z + 4 = -b + t, 0 = -5*b - z - 19. Calculate the common denominator of -1\/8 and b\/(-3) + 1815\/630 + -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-30) + (-58)\/(-5). Let n = 98 - 21. What is the greatest common divisor of g and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 20 = 2*u. Let x be (1 - (-4)\/(-2))*u. Which is the nearest to x? (a) 1 (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(55) + sqrt(55)*1))\/(-3*sqrt(176)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424066?\nAnswer: 2, 43, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 39 - 40 + 79. Let d(c) be the third derivative of 0*c**4 + 1\/15*c**5 + 0*c + 0 - 2*c**2 + 0*c**3. What is d(i(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*h**3 - 53*h**3 + 33 + h**2 + 218*h - 216*h in the form o*h**3 + n + l*h + u*h**2 and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44836 - 44837 + 2*q**4 - q**4 - 2*q**3 - 8*q**2 + 2*q**4 to the form i + x*q + g*q**4 + l*q**3 + n*q**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180) - (sqrt(5) - sqrt(55)\/(sqrt(22)\/sqrt(2))).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(2736)) - ((sqrt(133) - sqrt(133)*1)*-2 - sqrt(133))\/sqrt(7))**2*-3.\nAnswer: -288309 + 7668*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54.7 and 1.\nAnswer: 55.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z + 91 - 42 - 49. Let l(k) = 0*k - k + 2*k. Give l(v(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -295\/69, 11\/160 in ascending order.\nAnswer: -295\/69, -2, 11\/160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1, 684, -0.36, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269294736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -1745*v + 1739*v - 2*n, -2*v + 18 = 6*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**8\/28 - 919*u**5\/20 + 189*u**4\/4 - 791*u - 2. What is the third derivative of g(t) wrt t?\nAnswer: 240*t**3 - 5514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t)**(-2\/137)\/(((t**7*t)\/t)\/(t\/t**(1\/11))))\/((t\/((t\/(t\/(t*t**(-10)*t*t)))\/t*t))\/(t*((t*t**(-5\/2))\/t)\/t))**6 assuming t is positive.\nAnswer: t**(-104164\/1507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:52 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**3 - 3*y**2 - 3*y. Let i(v) = 6*v**3 + 4*v**2 + 4*v. Suppose -2*x + s + 9 = 0, x - 3*s - 7 = -0*x. Let c = 36 + -33. Calculate c*i(n) + x*p(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18190207, 18190201, 18190195, 18190189, 18190183?\n\"Answer: -6*b + 18190213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21052206635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1300 and 800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 354790.\nAnswer: 17739500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 61*a**2 - 613*a + 22. Calculate n(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o**3 + 37*o**2 + 22. What is w(-6)?\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9375 <= 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (442\/(-63) + 7)*(-244 - -209)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) - (-1*sqrt(175))**2))*-5 + sqrt(175) - (-4*-2*sqrt(175))**2.\nAnswer: -12075 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (276\/(-18) + -2)\/(4\/(-6)). Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1881888 and 22092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/176 and -37\/3336.\nAnswer: 73392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(13 + 8))\/((-4)\/24). Suppose 906 = 4*j - 10*j. Which is the closest to 0.1? (a) 2\/9 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4*(-18)\/24). Solve l = 4*v + 15 + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 less than -117078.81?\nAnswer: -117172.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.44 - -0.44. Let w = 25 + y. Which is the closest to w? (a) 0.5 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdddddddxxdxddxxxx. What is prob of sequence dddd?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559940.\nAnswer: 2, 3, 5, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49248 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164135 is divided by 640.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-80))\/((110\/20)\/11)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 67110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 598 - 26914\/45. What is the closest to -1 in 3, 0.1, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 612*y**2 + 3123*y + 2508 = 0.\nAnswer: -4, -1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-48)\/128*9*(-54)\/(-50301)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 55*r**3\/6 + 9*r - 5. Let n(c) = c. What is g(n(w))?\nAnswer: 55*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170073 divided by -3?\nAnswer: -56691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 731355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.4450607226 - 0.9.\nAnswer: 29.5450607226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35888534939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3804376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 12 = 0. Let g be (-18)\/(-40) - 3\/y. Put -0.1, 3, g in descending order.\nAnswer: 3, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -907*r - 17172. Calculate h(-24).\nAnswer: 4596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841555697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110111 - 110?\nAnswer: -100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24 (b) -1\/9 (c) 3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5017905*c**2*r - 10*c*r - 110753713*r with respect to c.\nAnswer: -10035810*c*r - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t + 20, -4*z = t. Let h = 1 - z. Suppose 4 = -h*l + l. Solve l*r + 2*g + 8 = 0, -4*r + 4*g + 3 = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/4*10243\/(-256075)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3795 and 20493?\nAnswer: 102465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 2. Let d be z(-2). Let b(m) = -m**2 - 6*m - 6. Let t be b(d). Suppose 5*u = -5*o + t*o + 10, u - 30 = 5*o. Put -1, o, -3 in ascending order.\nAnswer: o, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 + 7*n**3\/3 + 5*n**2\/2 + 3*n + 3. Does 9 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12083394 and -40\/81.\nAnswer: 326251638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 4. Let w be v(1). Let x = -238 + 238. Put 3, x, 2, w in increasing order.\nAnswer: x, w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 9*c + 6. Let u be r(3). Calculate the greatest common factor of 8 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 460 = 2*p. Let v = p - 39. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 111 + 134 = 0. Suppose v = 4*t - m - 54, -34 = -2*t + 4*m. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e (base 15) to base 5.\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082743933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37956696 by -24504.\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*q**4 + 217*q**2 wrt q.\nAnswer: -2472*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40465 and 0.25.\nAnswer: -10116.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(-2)*1235\/2964*4023\/(-9834).\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.63 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 16 (b) 5 (c) 1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -1, -7, 4 in ascending order.\nAnswer: -7, -1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143.57 + 3.43. Let b = c + -87. Let d = b + -59.705. Round d to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 8*h - 3. Calculate u(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114640 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*t = 53, n = 2*n + 4*t - 59. Let r = n - 28. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 14*g - 49. What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 5, z: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1110*l - 437 wrt l?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3292786 is divided by 993?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85133, -164807, -244481, -324155, -403829, -483503?\nAnswer: -563177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-1)\/(-2 - -1). Let m(y) = -y + 2. Let h be m(1). Let t = 0.4 + 0.1. Which is the nearest to h? (a) s (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2379*h - 1201*h - 1177*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -171868.\nAnswer: -171863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35 + 2*v**2 + 19*v - v + 85 + 2*v.\nAnswer: 2*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*n - 26 = 0, n = 2*y - 0*y - 10. Let u(c) = -6*c + 6*c + y*c - 2*c. Let q(f) = -26*f + 3. Calculate q(u(b)).\nAnswer: -52*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.5 - 20.5. Let n = -0.11 + 0.21. Which is the second smallest value? (a) n (b) i (c) 1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d + 16*d = -11000. Calculate the remainder when d is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w**4 - 49*w**3 - 1712*w wrt w?\nAnswer: -144*w**2 - 294*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 6*v + 9. Suppose -13 - 1 = -7*f. Suppose f = -5*w - 13. Calculate z(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*p = 5*a + 119762, -a = 4*p + 119760. Let r be (12\/(-62))\/2*a\/(-888840). Let n = r + 1\/7407. Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*z - 25*z - 798. Suppose -z*n + 182 = -122. Solve 0 = -17*h + 21*h - n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452920 by -520.\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 936301103 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -101.95. What is the nearest to -0.1 in 4, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(832)) + sqrt(117)\/(4*sqrt(81)))**2.\nAnswer: 1085773\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*q - 4489*p**3 - 58606*p**2*q wrt p.\nAnswer: 6*q - 26934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -79*y + 4. Let g be m(-6). Suppose -5*q = 8 - g. Suppose 2*u = -0*u + q. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 not equal to 152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3460335 and 7932?\nAnswer: 13841340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r**2 + 3*r. Let c(b) = -12*b**2 + 2*b. Calculate 3*c(p) - 2*d(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -j - 4 - 4, s = j - 1. Let m(f) = -4 + j - 5*f**2. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -185 and -185 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-1)\/((-2)\/20). Let w = m + -5. Let j(v) = -v + 10. Is j(w) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131507 take away -0.4?\nAnswer: -131506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {w: 1, l: 4, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 32 = 2*l, 3*v = -0*l + l - 16. Let y be 2\/(-2*2\/l). Put 3, -4, y in decreasing order.\nAnswer: 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 628, 927, 1226, 1525, 1824?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9. Suppose -2*a = h + 5. Is (-77)\/a + (-4)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 27\/(-6) + 1\/(-2). Let g(n) = n**2 + 2*n + 3. Let t be g(j). Find the third derivative of -b**6 - t*b**2 - 18*b**2 + 3*b**6 + 3*b**6 wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 + 23*l + 35923. List the prime factors of g(0).\nAnswer: 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52.7 + -52.7000551. What is w rounded to 6 dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108367573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*l = 4*l - 8, 5*l = -5. Suppose 2*u - y*g = 55 + 1, -8 = 2*g. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -728731?\nAnswer: 728727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 23*i**3 + 3582483*i - 3582514*i - 4 to the form o*i + c*i**2 + n*i**3 + m and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1569047.7 months?\nAnswer: 130753.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = -2*p. Let x(g) = 0 + 11 + g - 3*g - 8. Let l(c) = -2*c + 3. What is p*x(j) - 3*l(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 10*n + 1. Let u be q(-3). Let t be -3 + -1*(-412)\/u. Which is bigger: t or 99?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 36*v**2 + 37*v + 87. Calculate the remainder when k(35) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104495286?\nAnswer: 2, 3, 7, 2487983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/5 - 13169*z**3\/5 - 329502*z**2 - 53379644*z\/5 - 100274584\/5 = 0 for z.\nAnswer: -13043, -62, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 179 = -4*k. Let b be 2\/(-8) - k\/4. Is 637\/2 - 11\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 111.1154 and 3.8928112.\nAnswer: 115.0082112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1039, -6 in decreasing order.\nAnswer: 1039, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171231787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in minutes?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/5, 0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d - 46*d**5 + 26*d**2 + 0*d - 2*d**4 - 3*d wrt d.\nAnswer: -2760*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17480*q**3 - 9878*q**3 + 10835*q**3 + 17919*q**3.\nAnswer: 36356*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 3*p - 3. Let r be (-12)\/16*(-16)\/12. Let q(a) = -5*a**3 + 1. Let n be q(r). Give h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.298128 rounded to three dps?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17529875 divided by -140239.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*k - 3*x, 27 = -2*k - 8*x + 33 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 547?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9294991.\nAnswer: 607, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1774*-0.104\nAnswer: 184.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -88.86199161 and -169.95.\nAnswer: -258.81199161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/6)\/v**4)\/(v**(-1))**(-37) assuming v is positive.\nAnswer: v**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/9 - 20*f**4\/9 + 50*f**3\/9 = 0. What is f?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.086276395 * 12\nAnswer: 1.03531674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 7:02 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -187*h - 105. Let l(t) = -63*t - 38. What is 8*l(x) - 3*q(x)?\nAnswer: 57*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -590255, -590254, -590253, -590252?\n\"Answer: l - 590256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y + 6*y + 10*y - 3*y. Let a(q) = -376*q**2. Determine a(k(t)).\nAnswer: -3384*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72640 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28858234, -28858263, -28858282, -28858285, -28858266, -28858219?\nAnswer: -28858138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-9))\/(4\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b**4 - 51*b**3 + 46*b**2 - 7*b + 2. Let w(c) = 9*c**4 - 51*c**3 + 45*c**2 - 6*c + 3. Let n(z) = 3*r(z) - 2*w(z). Factor n(g).\nAnswer: 3*g*(g - 3)*(g - 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i, -4*a + 8*a = -4*i + 36. Solve 9 = 5*y - 11, 0 = a*o + 5*y - 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -25*h**3 - 11*h**2 - 2368*h - 8. Let l(m) = -9*m**3 - 4*m**2 - 789*m - 3. Determine -11*l(q) + 4*s(q).\nAnswer: -q**3 - 793*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 10*s - 40 = 0. What is s?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3174\/(-3)*(-713)\/(-282). Let t = g + 2675. Let w = -256\/1833 + t. Which is the biggest value? (a) w (b) 0.2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164718.\nAnswer: 2, 3, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Let p(u) = -2*u + 3. Let i be p(q). What is the biggest value in -1, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1404*q**2 - 243. Let u(j) = -23*j**2 - 4. Let c be (-4)\/20 - -19*(-192)\/(-15). Give c*u(p) - 4*d(p).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92650705?\nAnswer: 5, 7, 2647163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-17494887)\/(-3405) + -1). Let l = u + 5133. Let q = l + 35176\/10215. Find the common denominator of q and -39\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-7 - 8 - -7 - (-9 - -44))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 9*z - 9. Suppose 2*u = -2*m + 18, -5*u - 2*m = -88 + 34. Let f be d(u). What is the units digit of 1\/((-51)\/f + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/29 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6567705082.\nAnswer: 2, 47, 69869203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 147 = -2277. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s + 10. Let b = 12 + -6. Let o = 13 + -8. Solve -b = o*z - s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a factor of 245163759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-42 + 2) - 16\/(-30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 15 = -5*s. What is the units digit of (6 + -1)*s\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -1\/5, -0.4, 1\/62, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4380087.93 from 0.253.\nAnswer: -4380087.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*n - 439*n + 2068*n - 323*n - 339*n - 333*n - 332*n.\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -831, 0, 69.6 in descending order.\nAnswer: 69.6, 0, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-12) + (-532)\/(-16). Let g = a + -82. Find the common denominator of 472\/g*2\/(-5) and 2\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 4*z - 42 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-11 + 3 - (-5 + 0)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 10 + 7 - 10 - 7.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, 0.5, 8, -6595, 0.1, 0, 3 in descending order.\nAnswer: 8, 3, 0.5, 0.29, 0.1, 0, -6595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8 and 103\/22286?\nAnswer: 89144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*a + 2*h, 3*a - 2*h = 7 - 3. Solve -u - 4 = -a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)**2 + -2 + -4)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0579391 to three decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6992 divided by -4.\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 773?\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14021000 + -2110?\nAnswer: -14023110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*l - 286 = 0, -3*l + 133 = g - 0*l. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.48337mg to tonnes.\nAnswer: 0.00000005848337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(288))\/(sqrt(441)*1 + sqrt(441)).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uouo when four letters picked without replacement from {u: 3, o: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 102202100111 (base 3) to base 15\nAnswer: 48834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - 39) + 9.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 892817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*v - 26 = 0, 129*m = 127*m - 4*v + 52 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44337 is divided by 1592?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835906333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 334. Let w(y) = 3*y - 320. What is 4*n(z) + 3*w(z)?\nAnswer: -3*z + 376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hullhhlfuhhzlllhhh. Give prob of sequence uz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o - 9. Let c(b) = -5*b. Calculate c(x(d)).\nAnswer: -75*d + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + (-2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 = -16*p + 9*p, -3*k = 4*p - 2. Suppose -5*f - 13 = -4*a, -4*a + p = -f - 7. Factor 5\/2*n - 5\/3*n**a - 5\/6*n**3 + 0.\nAnswer: -5*n*(n - 1)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.121 - 24.879. Let h = j - -25.09. What is the second biggest value in -5, h, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157\/24 - -20\/3. Let b = 26.57 + 1.43. Let f = b + -28.3. What is the second biggest value in i, 0.2, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = -60*k + 236 + 484 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -117*i**3 + 39*i**2 + 36*i - 2. Give h(-1).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021221212 (base 3) to base 11.\nAnswer: -30a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 e when three letters picked without replacement from {i: 2, e: 1, j: 1, d: 2, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 791 + -790.8. Is d at least 60\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-one halves of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 6)\/(15\/20). Suppose 0 = 2*d + 3*d + 15, -x*m + 36 = -4*d. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -2 (b) 10 (c) -4 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.0203868.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.9 + -50. Let q = 2.0995 + z. What is q rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 - 4*p**3 - 5 + 5 - 2.\nAnswer: 28*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-10))\/(8 - 395\/50). Solve -21 = -2*l - r*l + 3*z, 9 = -l - 4*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -726.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104130 divided by 801.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976 + 4*z + 337 + 2*z + 639.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by 32.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*r**3 - 11*r**2 + 46*r**2 + 5*r**3 + 11*r**2 wrt r?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 13*p**6\/60 - p**5\/60 - p**4\/24 + p**3\/6 - 6*p**2. Let u be k(1). Suppose -5*z + u = -0*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2842.49 to the nearest 10.\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g - 95*g = 116*g + 700 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*k + 379. Let i = -14 - k. Suppose -i + 52 = -2*j. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -125*n**2 - 21*n + 3. Let m(b) = 53*b**2 + 11*b - 2. Calculate 7*m(q) + 3*t(q).\nAnswer: -4*q**2 + 14*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 36 + 31 + -5 + 2 + 1 + -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/42 and 143\/798.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260211281 and 6193.\nAnswer: 6193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*t, 0 = 4*d - 2*t + 4*t - 18. Let y be (-839994)\/d - 33\/22. Round y to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 0.1 (b) -103144 (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7*p = -3*k + 69, -p - k = -9. Let l = -0.07 - -0.07. Let y = -1 - -3. What is the biggest value in y, l, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 293.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Suppose -4*c + 4*m = -12, 2*m + 13 - 1 = 4*c. Solve -d*p = -c*p - 5*w - 15, -5*w - 15 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/(-6)*(-2 + -7) and (-8)\/(-16) - (-137)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Suppose -3*h + 3*y = -27, -20 = p*y - y. Find the second derivative of -76*k**2 + 2*k - 3*k**h + 76*k**2 wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**4 + 3*k**3 - k**2 - k - 1. Let b(d) = d**4 + 75*d**3 - 234*d**2 + 158*d + 2. Let p(o) = -5*b(o) - 10*v(o). Solve p(f) = 0.\nAnswer: 0, 1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 40. Let f be d(-11). Solve -f*w - 20 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5*n**2 + 2 + 4 - 2 to z*n + h*n**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -69, -165, -301, -477?\n\"Answer: -20*c**2 + 4*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.58 + 0.02. Let k = 0.59968 - t. Round k to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*(240\/5)\/(-4). Suppose -b*h = 4*h - 1096. List the prime factors of h.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13) - (1 + sqrt(13) + -1)) + sqrt(52)\/sqrt(4) + 3)*5*2.\nAnswer: 10*sqrt(13) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-10)*40\/12. What is the greatest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 18. Calculate the highest common factor of 48 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1021379644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*o + 10, 0 = -132*f + 137*f - 25. Let 4 - 34*r**3 - 9\/4*r**o + 57\/4*r**4 + 38*r**2 - 20*r = 0. Calculate r.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08118 and 58.918?\nAnswer: 58.99918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -164082681 divided by -1533483?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-13)*s\/s**(2\/73)*s\/(s**(-15)\/s)*s*((s*s\/(s**2*s)*s*s)\/s)\/s assuming s is positive.\nAnswer: s**(2334\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1385)\/(-3878)*(-2)\/45*6.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 5:13 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2463, -7530, -15257, -25644, -38691, -54398, -72765?\nAnswer: -93792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 8 (b) -0.5 (c) -0.02 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) -17 (c) 112368 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 4. Let w = 6 + -2. Suppose 23 = w*n - 5. What is the remainder when n is divided by r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1545*x - 1468*x - 539 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1096, -5, 19, 1, 4, 7 in decreasing order.\nAnswer: 19, 7, 4, 1, -5, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11823776771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 493 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 5)*(2*g - 1 + 1) + 5*g - 4*g + 2*g)*(-2*g**2 + 1 - 1).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19745.57623 rounded to zero dps?\nAnswer: 19746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2*sqrt(343) + sqrt(343))*-2 - sqrt(343) - sqrt(343)) + -1)**2 + -1*-3*(-3 + sqrt(343)*1)**2.\nAnswer: -126*sqrt(7) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, w: 4}. Give prob of picking 2 u.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 5 + 5)*(-2*j + 0*j - j) + 0*j**2 + 10*j**2 + 2*j**2 + (-2 - 2*j**2 + 2)*(-1 - 1 + 0) in the form c*j**2 + s + h*j and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238*(((-3)\/6)\/((-13)\/52))\/2?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/((-25)\/20) + 1)*-2. Suppose -w*p + 5*p = -9. What is the highest common divisor of 30 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-28)\/(j**6\/j)*j*j**1*j*j*j*j\/(j\/(j*j\/(j*j\/j**(1\/14)*j*j)))*j assuming j is positive.\nAnswer: j**(-405\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let o be (-2 - (-5)\/2)*-2. Let v(i) be the third derivative of -5*i**4\/24 - i**2. Let u(l) = o*v(l) + f(l). Let t(w) = 2*w. Calculate t(u(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*w = -105. Let r = 11 + w. What is the derivative of r*o + 24 - 21 + 34 wrt o?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 1, f: 6, p: 8, t: 4}. Give prob of sequence tw.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496327597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 - i**3 - 14*i**3.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3168) - sqrt(3168)*-5))\/(-6*(4*sqrt(1331) - sqrt(1331))).\nAnswer: -12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l - 1. Let z be -2*((-27)\/(-21) - 2\/7). Calculate o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {b: 3, c: 1, z: 1, q: 4, w: 1, y: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42241429?\nAnswer: 29, 283, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63726 - 5?\nAnswer: 63721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/10, -0.028, 0.5, -2\/17, 58?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**5 + y**4 + y**2 - y. Let l(f) = -26*f**5 + 6*f**4 + 6*f**2 - 7*f. Let w(x) = 6*a(x) - l(x). What is the second derivative of w(h) wrt h?\nAnswer: 400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:18 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6, 5, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2 - -1)*1. Let v = 18 + -17.9. What is the nearest to d in -4\/3, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p**(-3\/2)*(((p*p\/p**(2\/5))\/p)\/p)**(4\/3))\/(((p\/(p\/(p*p**(-1))))\/p)**21*p**(-5)*p**(-1\/2)*p) assuming p is positive.\nAnswer: p**(382\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -131*a - 6158. Calculate b(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) + (-231)\/210?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065028 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/17)\/c*c)**(-8)\/((c\/(c\/((c**11\/c)\/c*c)))\/c**43) assuming c is positive.\nAnswer: c**(577\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2286092751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 179 = -13. Let f = -193\/6 + w. Which is the third smallest value? (a) 3 (b) f (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4.7. Let x = j + -2. What is the nearest to 1 in x, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 28*d - 328. Determine l(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.1. Let q = t - -1.1. Let r be (-29)\/22 + 22\/(-121). Which is the nearest to q? (a) r (b) -1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82353, 164988, 247863, 330984, 414357, 497988?\n\"Answer: n**3 + 114*n**2 + 82286*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/6 and 93\/11792.\nAnswer: 35376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 + 462*b**3 + 3040*b wrt b.\nAnswer: -24*b**2 + 2772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*j + 308*j - 1015*j - 897 = 1129 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*t + 20 = 0, -2*t + 46 = 5*j + 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 93 = 17*i, 2*f - 3*i + 7 = 8. Solve -7*l + 3*v = -21, -f*l + 3*v + 3 = -7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 167*j**2 - j. Let a be s(2). Let t = -527 + 232. Let u = a + t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004562 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 1. Let u(i) = -4*i**2 + 4. Let k = -335 - -336. Calculate k*u(l) - 3*p(l).\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 3. Let k(h) = 15*h**2 - 2*h - 11*h + 18 - 16*h**2. Let y be k(-14). Let q(t) = -3*t - 3. Calculate y*q(d) - 5*s(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 10*m + 6. Let v be x(-10). Let t be 1*(-4)\/v*-3. Solve t*q + 5*w = 3*q + 7, 5*q + 13 = 3*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:42 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiuiiuiii. What is prob of picking 2 u and 1 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((98\/1029)\/((-4)\/7))\/((-1)\/(-8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2666, 5303, 7940, 10577?\n\"Answer: 2637*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:16 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 17*d + 14. Let u be m(16). Which is the closest to 2? (a) -3\/2 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -56472, -1\/10, 19, 4.\nAnswer: -56472, -1\/10, 0.3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11047 + 414. Which is bigger: d or -10632?\nAnswer: -10632","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35982 from 202.\nAnswer: -35780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 46*p**4 - 14*p**3 - 7 - 41*p**4 + 13*p**3 + p**2 to a*p**2 + z*p + q*p**4 + o + v*p**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.46054 centimeters?\nAnswer: 0.0646054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 875 - 878. Sort 0, t, -20.\nAnswer: -20, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9163 (b) 2\/3 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-10)*40\/24. Suppose u - h*p - 5 - 5 = 0, -5*u - 3*p = 2. Solve 0*n + 4 = u*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -260 - -168. Let c = 110.5 + n. Let w = 19 - c. What is the second biggest value in -4, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - -119. Suppose -8*g + h = -30. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-373)\/(6\/(-6)*(1 - 2)). Let z = -250 - y. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827175 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/2 - 1025*m**3 - 3*m**2\/2 + 3076*m - 2050 = 0.\nAnswer: -2, 1, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 - 170*w**3 - 11199*w**2\/2 - 49049*w - 132496 = 0.\nAnswer: -14, -13\/2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8, -0.2, 6, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.99 * -98770\nAnswer: 295322.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 28 - 1174 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 97. Suppose -5*p - 2*j = u, -2*j - 4 = -7*p + 8*p. Solve -w - 2 = 3*x, p = -0*x + x - 5*w + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -352 - 519 + 31*t + 869. Let w(u) = -30*u + 2. What is -2*s(r) - 3*w(r)?\nAnswer: 28*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/((s\/s**18)\/s)))**(-2\/7) assuming s is positive.\nAnswer: s**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275743 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23426.405 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16072, -32143, -48214, -64285, -80356?\n\"Answer: -16071*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 11*r + 6*r - 15*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -462765.797 - -462975. Let i = k + -209. Which is greater: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 29*g - 13*g - 9*g - 12*g + 3. Let v be j(5). Solve 7*a - 2*a - v*b = 5, 3*a = -3*b + 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + -27.9. Let g be 4\/10 + 1330\/(-3325). Which is greater: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20. Which is smaller: 6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 - 54350*x + 108720 = 0. Calculate x.\nAnswer: -10872, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*p + 3*h + 2202500, -5*p = 4*h + 2202500. Round p to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5645920 rounded to the nearest ten thousand?\nAnswer: -5650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12428164 and -1.\nAnswer: 12428164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.48 - 3.54. Let k = 2.86 - r. Let f = 0.26 + 0.04. What is the second biggest value in k, -5, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92386412 is divided by 3969?\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s - 1. Let d(w) = -3*w**2 + 6*w - 8. Let z(c) = d(c) - 4*l(c). Let m be z(-9). Is (-13)\/(m\/132) - 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49131 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/5)\/(((-112)\/18520)\/7). Let y = c - -651. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/4 + 3*f**3 + 11*f**2\/2 + 2*f - 2. Let i be y(10). Solve 0*m - 3*m = i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.39438 microseconds to hours.\nAnswer: 0.00000004510955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5064303 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2964 - 3111. Put n, 1, -4 in ascending order.\nAnswer: n, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - (1 + -2))\/(-5 - -3). Factor -18*c**x + 25*c**4 - 23*c**3 - 10*c**5 + 49*c**3 - 18*c**3.\nAnswer: -5*c**3*(c - 2)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5*n - 2625*b**3*n**2 + 392*b**2*n**2 + 7*b**2 - 4*b*n**2 wrt b?\nAnswer: -120*b**2*n - 15750*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/9 - 14\/(-63). Suppose -g*i = -2*i - 88. Suppose 4*b - 9 = -p + 21, 2*p + 3*b = 35. Calculate the smallest common multiple of p and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2, 0.5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 865.5309 micrometers?\nAnswer: 0.0000008655309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + (1 - (4 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22159312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7178882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133353 - -11?\nAnswer: -133342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/53)*r\/((r*r**(-30))\/r*r) assuming r is positive.\nAnswer: r**(1592\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Let o(b) be the second derivative of b**4\/12 - b**3\/3 + b**2\/2 - 7*b. List the prime factors of o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 - 25*x + 7. Let s be 5\/3*(-3)\/1*-1. Let p be j(s). Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 200 = -0*w. Let q = w - -205. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4707*v + 3380*v + 3176 - 101374 = 0 for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l + 0*l**2 - l**2 - 16*l + 28*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003906373041 to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(22\/6 + -3). Suppose -x*f = -w + 6, -4*f + 5 = -w + 12. Let g(n) = -n**3 + 5*n**2 - 3*n - 3. Calculate g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72054 + -72053. Let d be (-1 + 2)*(-1)\/(-12). Which is the closest to t? (a) d (b) 17\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 0)*(-12)\/(-15). Let v be (-4)\/(-1 - (0 - -1)). Suppose -16 = v*m - z*m. What is the least common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168232 divided by -361372?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -55) + -95 + 72.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 9*k + 5. Let f(j) = -j - 14. Let r be f(-7). Let z be o(r). What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, 441709, 0.\nAnswer: -5, -3, 0, 5, 441709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/(-187) + (-16540)\/(-11).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 bigger than 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 886*k - 8317. What is r(10)?\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2\/3 + 863404*n\/3 - 863408\/3 = 0.\nAnswer: -215852, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 470 - 467 - 4*y**3 + 0*y**2 to q*y + o*y**2 + t*y**3 + w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 93 = -3*a. Suppose -z - 3*x = -39, -2*z + 12 = -2*x - a. Suppose b = 25 + z. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j*j)**(-10)*j**10*((j**(-1\/13)\/j*j)\/j*j)\/j assuming j is positive.\nAnswer: j**(1156\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*((-434)\/(-140) - 3). Sort 6\/5, -5, d in descending order.\nAnswer: 6\/5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/6 + -23\/42. Let h = -160 + 140. Let t = h + 21. What is the closest to 0 in 0.3, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 7*k + 7. Let p be n(5). Is (-36 + -5)*(1 + p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**5 + 40*l**3 + 8*l**2 + 2 wrt l.\nAnswer: 240*l**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - 240. Let z = -362 - a. What is z rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1779 (base 11) to base 4.\nAnswer: 1023213131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 8 = 0. What are the prime factors of (k + -6)*4*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 14*i**2 + 2*i - 5. What is the tens digit of n(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqlzcvlvp. Give prob of sequence vl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - ((1 + -5)\/(-4) - 0). Let s be j\/(165\/(-192)) + (-24)\/(-132). Solve 2*d - 3*l - 5 = 3, -s = 2*d + 4*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-28) - (-4)\/(-14). Suppose 43*r - 48*r + 5 = 0. Solve l - r = -t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k - k**4 + 5*k + (2*k**2 + 4*k**2 - 3*k**2)*(4*k**2 - k**2 - k**2) - 2*k**4 - k**4 + 5*k**4.\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 12512*j**4 - 530208*j**3 + 7444864*j**2 - 34793920*j = 0.\nAnswer: -3170, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4740 and -13\/10665.\nAnswer: 42660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 4\/3*d**3 - 2 + 0*d**4 - 2*d - 2\/5*d**5 + 0*d**2. Factor j(r).\nAnswer: -2*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + b = 120. Let f be 27\/4*-2 - (-10)\/b. Calculate the remainder when 42 is divided by (-14 + 4)\/5 - f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = 2*g - v, -5*v + 15 = 0. Suppose -f = 1, -5*h - g*f - 3 = -0*h. Do 0 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybaabbbbjnnyayya. What is prob of sequence ayaj?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + -2 + (-4)\/2 - -1. Let p = 18 + -31. Let r = k - p. Calculate the smallest common multiple of r and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4240*z**2 - 8484*z**2 + 83*z**3 + 86*z**3 - 173*z**3 + 4244*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51882 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-609)\/42*10*3\/(-135)*-9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 33. Let j(y) be the first derivative of -y**2 + 0*y + 2\/3*y**d - 3. Factor j(o).\nAnswer: 2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1643, -1629, -1615, -1601?\n\"Answer: 14*k - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, e: 5, f: 2, b: 2}. What is prob of picking 2 f and 1 a?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936*y**3 - 1706*y**3 + 743*y**3.\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 1\/4 (c) -2 (d) -0.4 (e) -224\/11 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 8028 = 116*i + 81*i + 15272 for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2717\/(-52))\/(-19))\/((-3)\/12*1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100200201022 + -100211122?\nAnswer: -101001112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 112*w + 108*w + 20 = 0, 0 = -2*g + 33*w - 128 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43106 is divided by 2729?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(2*(-4)\/16). Is -2 + i*129\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 420312111 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b - 330027 = 32699. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -714\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04780055 to three dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -420430 (base 6) in base 3?\nAnswer: -1201110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/318 - -935\/477. Let j = -37554 + 150175\/4. What is the common denominator of j and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let v = -1193 + 1192.5. What is the nearest to -0.1 in h, -0.6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3967.441982 to 0 dps.\nAnswer: -3967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.8 * -0.96855.\nAnswer: -9.49179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*b = 12, 0 = -36*m + 38*m + b + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 7, -13 in decreasing order.\nAnswer: 7, 5, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + 1. Let f(h) = -75*h**2 + 74*h**2 - t + 3 + 13*h. Calculate the least common multiple of 11 and f(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 78\/14)\/((-4)\/(-14)). Let a(b) = -2*b**2 + 3*b + 9. Give a(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122425906 a multiple of 6382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -103565 rounded to the nearest 1000?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4146*c - 2569*c + 839 - 515627 + 11163 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1737 less than 0.1?\nAnswer: 0.2737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0675 + 0.0646. Let c = 0.0529 + t. What is the second smallest value in 24, -1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1079, -2152, -3225, -4298?\nAnswer: -5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -946.406.\nAnswer: -378.5624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -4 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 3:39 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - b - 18153, -3*u - 7*b = -11*b - 10885. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.045 - 2.855. Let v = 2.9 + t. What is the closest to v in -0.4, 4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4587 + 4598. Suppose 5*n = 5*m + 25, 2*n = 3*m - 0*m + 15. What is the third biggest value in 3\/7, n, -0.5, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -87, -100, -95, -72, -31, 28?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-120)\/55)\/(-4) - 1302\/(-33). Solve h*x - 38*x = 4*z - 8, x + z = 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914839 is divided by 13654?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + 3 + (sqrt(3) - (sqrt(12) + 2))**2)*6 + ((sqrt(192) + 3)**2 - (1 + sqrt(432) - sqrt(3))) + -5.\nAnswer: 67*sqrt(3) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 9 + 3. Suppose 3*h + j - 16 = 0, 4*j = -0*j + 4. Suppose -h*k + 20 = -o, 3*k = 7*k - 5*o + 5. Solve -c*z + 26 - 5 = 5*l, k*l - 30 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 8 = -9*p, -4*p = -3*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 213280, -4.\nAnswer: -4, -2, 1, 213280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5220.878 - -5213. Let x = j + -0.122. What is the third smallest value in 0.3, -1\/8, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xggggxgxgxxgxgggxgcx.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 3*f**5\/20 - 85*f**4\/12 + f**3\/6 + 4355*f**2\/2 - 949*f. Find the first derivative of u(o) wrt o.\nAnswer: 9*o**2 - 170*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20014871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l)**2)**(-38)\/((l**6\/(l**2*l))\/((l\/((l**(-2\/23)*l)\/l))\/(l**2\/l))) assuming l is positive.\nAnswer: l**(1681\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 387, 351, 315, 279, 243, 207?\n\"Answer: -36*q + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 2*o**3\/3 - o. Let v be q(1). Suppose 4*u + v*d + 24 = 5*u, u = -4*d - 8. What is the remainder when 22 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1\/4 (c) 2\/5 (d) -0.0741155 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 13. Let s = o + -28. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 + 366. Solve 2*v - 3*m + 3 = 0, 4*v = h*m - 2*m + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -73894073 and -73894061 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 7 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/2 + 196909017*w**2\/2 + 3231096846446697*w\/2 + 3231096649537683\/2 = 0.\nAnswer: -32818169, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 28*w**2 + 5360. Let i(l) = -13*l**2 - 2680. Determine -13*i(o) - 6*y(o).\nAnswer: o**2 + 2680","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {y: 1, o: 3, z: 1, i: 2, l: 3, h: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21554 - 994 = -6*z. What is the remainder when z is divided by 235?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - s - 3 + (-s + 1 - 1)*(3 + 2 - 2) + 3*s - 2*s + 0*s + 48*s - 11 + 6 + 7.\nAnswer: 45*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1878*a + 149*a**2 + 1878*a.\nAnswer: 149*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 2*p + 1. Let s(t) = -t**3 - 6*t**2 - 27*t - 209. Let j be s(-7). Suppose j*o + 30 - 1 = 0. What is m(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.202253 + -2.2142. Round m to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzwwkkszzwszkwszwwww. What is prob of picking 2 w?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**1)\/b)\/b)**(-7\/8)*b**6*(b**(1\/5)\/b)\/b assuming b is positive.\nAnswer: b**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -887.\nAnswer: 6209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 10. Let y be j(8). Let u(p) = -p**2 + 5*p - 3. Let r be u(3). Sort r, -4, y in descending order.\nAnswer: r, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/3 - 4358*h**4\/5 + 1401054*h**3\/5 + 45954706*h**2\/15 + 1737124*h = 0.\nAnswer: -10, -3\/5, 0, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23487 + -23601. Sort 1\/5, c, -20.\nAnswer: c, -20, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1888049, 1888037, 1888025, 1888013?\nAnswer: 1888001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 22 = -4*a + o, -o = -3*a + 7. Suppose -4*j = -2*w - 34, -24 = -5*j + 2*j + a*w. Solve 5*l + 0 = -d - 13, -d = 3*l + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5136 - 0.892. Let o = 134 + -134.4. Let d = o - v. Round d to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*f - f**4 + 26*f + f**3 + 4*f - 1 - 7*f**2 as l*f + q + x*f**2 + y*f**4 + c*f**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (-1 - (-4199)\/595). What is the closest to 0 in i, -0.21, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x**(2\/15)*x**(1\/5)*x**(2\/9))**(-30) assuming x is positive.\nAnswer: x**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001 (base 2) in base 6?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24 - -28) + (57 - -1) is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5659*f**2 - 76*f**3 + 5659*f**2 + (-4*f + f + 5*f)*(-f + f + 2*f**2 + (3*f - 1 + 1)*(0*f - 3*f + f) - 6*f**2 + 2*f**2 + 3*f**2).\nAnswer: -86*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p - p. Suppose -8 = -0*c - 2*c. Let l = -26920 + 26926. Put c, p, l in decreasing order.\nAnswer: l, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*-3 - -4. Let k be (32\/2)\/(1\/(-2)). Does 16 divide -1*(s - 2) - k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157306, -314631, -471966, -629317, -786690, -944091?\nAnswer: -1101526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2355*i - 913*i + 1081*i + 78213 = 0 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d13 - -13c?\nAnswer: -bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*d**3 - 3 + 5*d**3 + 242*d + 17*d**2 - 242*d as j*d + h + r*d**3 + w*d**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65286 and 378?\nAnswer: 457002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7412 + 958 = 90*a. Calculate the lowest common multiple of a and 144.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4578 - 4561 + 3*f**2 + 9103)*(4 + 4 - 6).\nAnswer: 6*f**2 - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + -426 + -2)\/(-1). Suppose 4*q + 75 = c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105763 divided by 3647?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 235, 1, 1\/22, 0, 4, 13, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {h: 2, t: 2, q: 2, b: 1, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 5*l**2 - 8*l - 12. Let t be q(-6). Let d = 6.78 + -8.78. What is the nearest to t in -4, d, 20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**6\/2340 + g**5\/12 + 16*g**4\/39 - 14*g**3\/3 + 7*g + 100. Let s(t) be the third derivative of m(t). Factor s(p).\nAnswer: 2*(p + 1)*(p + 64)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 113*b**2 - 11*b - 22. Let m(x) = 38*x**2 - 4*x - 8. Determine 4*j(r) - 11*m(r).\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.14. Let f = -0.0106 + h. What is f rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177 - -191. Solve -5*r = -q*r + 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m - 169 + 169 + (4*m - 2*m + 0*m)*(-1 + 1 - 2))*(2*m**2 - 6*m**2 + 2*m**2) + 0*m**3 - 1 - 3*m**3 + 4*m**3.\nAnswer: -7*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1029\/294*(10\/7)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897 = -1000*v + 1013*v. Suppose -5*w + 330 = 5*q, -146 + 428 = 4*q - 2*w. Calculate the greatest common divisor of v and q.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566931.78 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2756, 2707, 2658, 2609, 2560, 2511?\nAnswer: 2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3220 = 7415*n - 7345*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334402424 (base 5) to base 9.\nAnswer: -2707347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {z: 2, x: 2, y: 1, i: 6, b: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + -0.086?\nAnswer: 0.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 43428009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1959566224 divided by -1174096.\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -9\/8, 5, -0.9, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 86. Let g = t - 15. Let z = 44 - 43. Is g < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 90731142?\nAnswer: -90731156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32394, -259185, -874754, -2073489, -4049778?\n\"Answer: -32398*n**3 - n**2 - 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4848 divided by -303.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -925.2093 take away 2830.63?\nAnswer: -3755.8393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -182, -523, -1074, -1865, -2926, -4287?\n\"Answer: -5*y**3 - 75*y**2 - 81*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*((y**(-1\/2)*y*y*y)\/y)\/y)**49 assuming y is positive.\nAnswer: y**(833\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/5)*w*w\/w**(-5\/7))\/(w\/(w*w**10)*(w**8\/w*w)\/w) assuming w is positive.\nAnswer: w**(242\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(129\/(-2)))\/(82\/9348*-38)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 658 or 268835\/408?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**3\/6 - 7*u + 13. Let w(j) be the first derivative of h(j). Let k(v) = 4*v**2. Give k(w(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*a - 71*a = -1360. Let b(m) = -3*m + 4*m + 0*m. Determine b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - w**2 - 4*w - 3. Let p be 4 + (-3)\/(-9)*0. Suppose -p*t + 31 = 7. Let h be t\/(-14) + (-33)\/21. Determine k(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2933132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 5*k - 26 = 0, 3*k - 22 = 2*y. Let b(s) = -s**2 - 11*s - 12. What is the remainder when b(y) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**2 - 227*p + 33458 with respect to p.\nAnswer: -6*p - 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/3113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -678, 0 in decreasing order.\nAnswer: 0, -2, -3, -678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2. Let n(m) = -40*m**2 + 2. What is l(n(w))?\nAnswer: -4800*w**4 + 480*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*h - 16, -4*h - 71 = 3*a - 100 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 7*o + 11. Let h be k(8). Let d(w) = 5*w + 71 + h*w - 76. Does 11 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 220*k. Let y(m) be the third derivative of -m**4\/4 - 805*m**2. Give y(b(l)).\nAnswer: -1320*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 1495.\nAnswer: 31\/1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1119, 8962, 30261, 71736, 140107, 242094?\nAnswer: 384417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, 1\/2, 2\/3 in descending order.\nAnswer: 2\/3, 1\/2, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/6 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 - 7172*d + 6429698 = 0. What is d?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-30))\/((-15)\/(-20)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50 and 143.617.\nAnswer: 7180.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 s, and 1 n when four letters picked without replacement from nssnssnsnwsnnsnssns?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 15*j**2 - 6*j - 6. Let x(f) = -4*f**3 + 31*f**2 - 13*f - 13. Calculate -13*m(q) + 6*x(q).\nAnswer: 2*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 699483*l**2 + 4477085*l wrt l.\nAnswer: 1398966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 3*u + 3. Let i(y) = -y + 2. Suppose -6*r + 28 = r. Let f be i(r). Give n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481540 <= -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 1. Let z(k) = -k**3 + 4*k**2 - k + 5. Let b be z(4). Let r be m(b). Let h be (r\/(-4)*4)\/(-1). Solve q = h*v, -3*v + q = -4*q - 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*b - 2717*b = -101943 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127209006*l**4 - 283441694*l**2.\nAnswer: -3053016144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-9))**47*(j**(1\/28))**(4\/5))**(1\/25) assuming j is positive.\nAnswer: j**(16451\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004731398 to six dps.\nAnswer: -0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798206 = -93*m - 801647 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*f + 4 = 0, 0 = 2*y - f - f + 8. Let i(d) = -d**2 + 8*d - 4. Let z(n) = n**2 - 7*n + 4. Let m(l) = y*i(l) - 4*z(l). Calculate m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107240 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*q - 5*u, 4*q + 3*u - 15 = q. Let s(b) = b + 4 + 3*b + 3*b. Does 16 divide s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 28*u + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7061819 rounded to the nearest one thousand?\nAnswer: -7062000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 + -27.1.\nAnswer: -27.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -40. Solve k*z - 2*z + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 0, 11, 26, 45?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*i. Let f(u) = 2*u - 21. Let j be f(15). Let h be (j\/6 + -3)*-4. What is the nearest to -2 in h, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -10 + (-1 - -52). Suppose -t = -3*f - 4*a, 0 = -f + 3*a + 21 + 17. Suppose -22*i = -19*i - 19 - 110. What is the remainder when i is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -35. Sort l, 6, 1, 0.\nAnswer: l, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 13*f**2 + 25*f - 125. Let d be p(-8). Let n = 0 + -4. Which is the nearest to n? (a) 4 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.65, -5, -15, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24*-12)\/((-290)\/6815).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:55 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13)*i**2*i)\/((i*i**(7\/2))\/(i*i\/i**(1\/4)*i)) assuming i is positive.\nAnswer: i**(57\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -235043764, -235043763, -235043762, -235043761?\n\"Answer: u - 235043765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -95632 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942891791.\nAnswer: 17, 251, 220973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78356, 78285, 78214?\nAnswer: 78143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whchhhw. What is prob of picking 1 h, 1 c, and 2 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**3 - 15*o**2 + 8*o + 5. List the prime factors of h(-6).\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.2ng in micrograms?\nAnswer: 0.1652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*z**4 + 11*z**4 - z**3 - 7*z**4 - 2*z**3 - 9*z**2 + 10*z**2 to the form v*z**2 + n*z**4 + c*z + r + t*z**3 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 917904 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.007 - -0.0069964. Round k to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-834 - (1 - (3 - 2)))*(-25)\/5. Is 4171 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-11))\/(-2)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u + 42 = 80*u. Calculate the lowest common multiple of u and 229.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2060 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 8?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 - 7)*(0*v + 5*v - 3*v) + 8818*v - 1590*v - 1545*v + 5589*v + 1340*v to j*v + u and give j.\nAnswer: 12618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -3*q**5 + q**4\/12 + 2*q**3\/3 + 3*q**2\/2 - 16*q. Is 3 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299*a**2 - 6609*a*x**3 + 18452827*x**3 with respect to a.\nAnswer: 598*a - 6609*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2 + 3 = 0. Let y = g + 1. Suppose 27 = 4*u - t, -y*u - 39 = -6*u + 5*t. Calculate the remainder when 21 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -668834 and -668834 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -63145232 divided by -3176?\nAnswer: 19882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let g(j) = -8*j**3 + 2*j**2 - 1. Determine g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 524\/(-5502)*(-70)\/270.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4436494 to the nearest 10000.\nAnswer: -4440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12658044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/404 + -6167\/808. Calculate the common denominator of n and 9612\/28512 + (-22)\/(-66).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17578 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -49*p. Suppose 3*m + 2*o - 10 = 0, 2*m + 6 = 3*o + 2*o. Let b(u) = -2 + 2 + 810*u**m - 809*u**2. What is w(b(t))?\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 + 0.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 + 6*g - 6. Let y(w) be the second derivative of 5*w**4\/3 + 17*w**3\/6 - 17*w**2\/2 + 4*w. Let m(k) = 17*t(k) - 6*y(k). Factor m(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -43. Which is greater: 2\/23 or p?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 358 (b) -0.4 (c) -1\/2 (d) -3 (e) 1\/10 (f) 3278\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174 - -173.5. Suppose 4*f + 23 = 79. What is the third biggest value in 2\/13, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 0) + (-6)\/6. Suppose 2 = -w*p - 3. Let l be p\/(-1) + -1 + 8. Solve -d - 2*q = -5*d + l, 7 = -3*d - 5*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 11.3 (c) 0.1 (d) 252 (e) -0.2 (f) 5 (g) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:26 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3\/5 (b) 0.4 (c) -2\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2874b + -15?\nAnswer: -28764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*n - 1. Suppose 6*z + n*t = 2*z + 380, 0 = -z - 3*t + 86. What is the greatest common divisor of z and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 21*c = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - -7. Let i = v + -45. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -3.8. Let l = d + 8.8. What is the third smallest value in -4, -0.3, -0.4, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50.8, -2\/5, 13, 3 in ascending order.\nAnswer: -2\/5, 3, 13, 50.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -69. Let p be ((-6)\/4)\/((-2)\/16). Solve p = -y - w*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 - -0.03. Let j = 1.52 - 1.52. What is the closest to t in j, 3\/2, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*q**2 - 65060*q - 75936.\nAnswer: 4*(q - 2712)*(6*q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/((-2576)\/77)*5*-3*2\/(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-15)\/45)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 + 2*j + 2. Let m(q) = -25*q**2 + 9*q + 11. Let y be ((-5)\/2)\/((-5)\/4). Let h(t) = y*m(t) - 11*g(t). Find the second derivative of h(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + x = -3*a - 14 + 23, -4*x = 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times -1244543?\nAnswer: -2737994.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129 is divided by 198.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggsg when four letters picked without replacement from {s: 1, q: 5, g: 7}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5789694 and 12762?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -3*a**5\/10 + a**4\/4 - a**3\/2 + 3*a**2\/2 + 5*a - 30. Let f(g) = -g**3 + g**2 - g + 1. Give 6*f(n) - 2*w(n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/70)\/(24\/28) - (-1050)\/(-1000).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 17. Let v be s(-15). Suppose -v*o + 1 = -5. What is the least common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157.3 - 157. Let c be 12\/(-9)*(-3)\/14. What is the third biggest value in c, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 14) in base 6?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 6*g + 495. Is g > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miixmcyxiiii. What is prob of sequence xi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h**2 - 33*h**2 + 4*h - 242*h**2 - 4*h - 2.\nAnswer: -308*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*n = -2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30715941 - 30715941.26000023. Let x = 0.26 + j. Round x to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.035, 1\/2, 9, -0.5, 4\/5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:14 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, f: 14}. What is prob of picking 3 w?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 5:12 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(108) - (sqrt(108) - (sqrt(108) - (0 + sqrt(108) + 3)))) + (2 + sqrt(108))*-3*2)**2.\nAnswer: 1152*sqrt(3) + 4144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 11*b**3 - 9*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 3*l - 17, 10*c - 4*l = 13*c - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from cahfphh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-5\/2)*p*p**14*p**(-3\/4)*p*p**14 assuming p is positive.\nAnswer: p**(131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-26 - -9) + 21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -2 in increasing order.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56148*q - 4*j + 12 = -56149*q, 5*q + 102 = -j for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68982195 divided by 68639.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u. Let a(s) be the second derivative of s**6\/360 + 7*s**4\/6 + 12*s. Let f(l) be the third derivative of a(l). Calculate y(f(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 - (3 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -14*j - 3358778. Let f be j + 1*(2 - 5). Let n = f - -3719392. What is n rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -65. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 20. Let f be z(11). List the prime factors of (22\/6 - 4)*f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 + 2*f**4 - 3*f**4 + (-3 + 3 + f**2)*(-3*f**2 + 4*f**2 + f**2) + 0*f**4 - f**4 - f**4.\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 + 16*a**2 + 3*a**2 + (-2*a**2 + 0*a**2 + 4*a**2)*(-1 + 1 - 4) - a - 2*a**2 + a)*(-4 + 1 + 4) as l + t*a**2 + d*a and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.972 - -7. Let p = -21.88 - -21.907775. Let f = p - y. Round f to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*y**3 - 664*y**3 + 0 + 0.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632242 is divided by 1264.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623 (base 9) to base 5.\nAnswer: 4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436371408 divided by -4?\nAnswer: 359092852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527698399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 217716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.03018.\nAnswer: 0.0009054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 68*t**3 + 23*t**3 - 5*t.\nAnswer: -45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 7*k + 17299*m = 17298*m - 49, 3*m = -15 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14611832.76 less than 1?\nAnswer: 14611833.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300350?\nAnswer: 2, 5, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o - 1. Let w(m) = -m**3 + 23*m**2 + 10*m - 16. Let u(f) = -6*g(f) + w(f). What is the tens digit of u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 1)*(-9 + 15 + 30) + 4*m - 6*m - 5*m + (-6 + 0 + 4)*(-m + 0*m - 1 - m).\nAnswer: 69*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + 1 + (9 - (-5 + 7) - 6) + -7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/7 + 144*v**3\/7 - 309*v**2\/7 - 450*v\/7 = 0. What is v?\nAnswer: -50, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1. Let s(m) = -m - 4. Let t(u) = -1. Let z(n) = -s(n) - 4*t(n). Determine 40*c(f) + 5*z(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92459791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*f**3*h**3 - 2*f**3 + 19*f**2*h**3*z + 3*f*z - 3*f wrt h?\nAnswer: -12*f**3*h**2 + 57*f**2*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 185\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from sooqsqoaooo?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -3 (c) -0.3 (d) 0.4 (e) 0.01 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 8 - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96212287 by -1.\nAnswer: 96212287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/12)\/(3\/(-142)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166 * -0.1.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 371520 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 0 - (1 - 21 - -17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/7 - 464102*w + 376933666207 = 0.\nAnswer: 1624357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 - 4 = 0. Suppose -t = c*t - 12. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1463 (base 9) to base 14.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 4:18 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/112 + w**6\/40 - 227*w**5\/60 + 5167*w**4\/24 - 2*w**2 + 78*w - 3. Find the second derivative of b(r) wrt r.\nAnswer: 60*r**3 + 18*r - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*l + 65, 0*l - 68 = -4*j - 4*l. Suppose n - 4 = 12. Suppose -v + n = v. What is the remainder when j is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 31 = 48 - 33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12b21 (base 12) to base 7\nAnswer: 135136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b - 3 + 1 + 1 + 3*b. Let y(n) = n**3 - 6*n - 3. Let k be y(-2). Determine d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7*g = -16. Let i = 230 + -204. What is the remainder when i is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d = 2244328 - 2245224 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*4*(-2)\/(-8). Let r(w) = 2*w - 9. Let v be r(c). Suppose z = -8*h + 5*h + 14, -h + 8 = -v*z. What is the remainder when 24 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*l + 1739 = -88*l + 279 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 50*f = 48*f + 26, 24 = 3*m + 6*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-9 + (5 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 80*c + 659. Calculate b(29).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-756)\/1365 - (-4)\/10. Let t be 12\/60 + 222\/(-110) + 2. What is the closest to 0 in t, y, -0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53457997*0.1\nAnswer: -5345799.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/31 - 73\/465. Let m = i + 16\/105. Which is the fourth biggest value? (a) -0.2 (b) -4 (c) m (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/161280 and -11\/43200?\nAnswer: 2419200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64305, 63692, 63079, 62466, 61853, 61240?\n\"Answer: -613*t + 64918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -94*k**2 + 243*k - 27. What is c(-3)?\nAnswer: -1602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21975355 divided by 21975355.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0176418 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1875c61d + 2?\nAnswer: 1875c620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44920+-411\nAnswer: -45331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 12 - 12)*(-23*n**2 + 3 + 10161*n - 10161*n) - 4*n**5 + 0*n**5 + 3*n**5 + (2*n**3 - n**2 + n**2)*(-2*n**2 + 6*n**2 - 3*n**2).\nAnswer: 93*n**5 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3038)\/(-84)*-4*2\/378 and 82\/45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -672*t - 588*t + 1195*t to j*t + x and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(304) + (sqrt(304) + (2*sqrt(304) - sqrt(304)))*6 + 3 + ((2 + sqrt(304) - sqrt(304))*5 - sqrt(304)))**2.\nAnswer: 1768*sqrt(19) + 88025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 3, a: 3, p: 8, d: 3, c: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-1330)*(-8 + 8 + 5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67860, 67774, 67510, 66978, 66088, 64750, 62874?\nAnswer: 60370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*u**3 - 4*u**4 + 3867*u + u**4 - 3867*u - 12*u**2.\nAnswer: -3*u**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 92. Which is smaller: t or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/(-40 + (-13634)\/(-340)). Solve x + 9 = 5*m + 32, -2*m = u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549444 is divided by 522.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -10*y - 67. Solve -y*x = -2*g - 11, -3*g + 26 = -0*x + 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 + 7*d + 7. Let h(n) = -n**2 - 1. Let w(k) = 5*h(k) + j(k). What is w(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(16\/96)\/((-5)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)*1)\/((-2*sqrt(50))\/sqrt(5)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362777.\nAnswer: 3, 13, 83, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -67. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -52. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = -62*l + 476 - 161 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*t + 11569, -72*t + 69*t - 12 = 0. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 286 = -v. Let q = v - -95. Let b = q - -60. Solve 0 = 6*h - 2*h + b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7781.4153ms in hours?\nAnswer: 0.00216150425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 - 7686.\nAnswer: -7595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 + 2*j - 5. Calculate y(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*l - 591*l - 365 = 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1450925 and 344750?\nAnswer: 2858322250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-7) + (-3228)\/(-14). Let i = c - 109. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/3120 and -97\/316992?\nAnswer: 1584960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 468185640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11474 - -11518. Let u(n) = n**3 - 45*n**2 + 40*n + 175. What is u(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 2490*x - 24706. What is c(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -57373 + 4687. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9858173t to milligrams.\nAnswer: 985817300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4972 and 1628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 16. Suppose -6*c + 63 - l = 0. What is the remainder when 50 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7*-21*(-5)\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -1 (c) 2\/9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmmfffmmeffzzzfff. What is prob of picking 2 z, 1 e, and 1 f?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 16125*d**2 - 96615*d + 144855 = 0. Calculate d.\nAnswer: 3, 3219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4816838 grams to tonnes.\nAnswer: 0.0000004816838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*m - 3*y, 4*m + 6 = 5*m - 3*y. Suppose 2*n + z - 30 = 0, 3*n = -m*z - 4*z + 50. Solve 4*c - n = 5*q + 31, -3*c = -4*q - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186804687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 895201.5 decades in centuries?\nAnswer: 89520.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 + 3238*k + 838084 = 0. What is k?\nAnswer: -227, 1846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 - -1364. What are the prime factors of w?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 493762, -416, 4.\nAnswer: -416, 4, 493762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(66\/(-210))\/11.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**2 + 49*k - 464. What are the prime factors of a(-21)?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -3 + (1 + sqrt(396) + -1 - (sqrt(396) + -1 + -1))**2 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/((-1)\/(-2) - 4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 79*h - 8408. Let g be u(111). Calculate the highest common divisor of 437 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*g**2 + 363*g**2 - 262*g**2 to h + i*g**2 + x*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-26)\/(-468))\/(108\/(-16) + 7).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3969773.82298 and -14.\nAnswer: 3969759.82298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -33. Which is the smallest value? (a) 0.3 (b) z (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/3 - 2446*h**3\/3 + 2442*h**2 - 7322*h\/3 + 2440\/3 = 0 for h.\nAnswer: 1, 1220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 0*t - 1)*(7*t + 8*t - 20*t + (-2 - 4 + 7)*(5*t - 2*t - 4*t))*(-10*t + 12*t + 11*t).\nAnswer: 78*t**3 + 78*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 - 1173 - (65 - 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q - 0*q + f, 2*q = 4*f - 6. Which is the nearest to 3? (a) -5\/4 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-28)*(-315)\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151063 - -121?\nAnswer: 151204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.1 (c) 23.1 (d) -1\/3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029193, 2058396, 3087599, 4116802, 5146005?\nAnswer: 6175208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184527 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 5*z = 49, -2*z + 10 = 0. Solve 3*h + y = g, -h + 3*h = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2\/12*111366\/(-807)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:03 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let i = -14 - d. Let w = -3 - i. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48751\/3 at most as big as -16250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10511519*a**2*g + 52342773*a**2 wrt g.\nAnswer: 10511519*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 259053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/48*8\/4*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*v**3 - 53*v**3 - 662*v - 71*v**3 - 59*v**3.\nAnswer: v**3 - 662*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2040 and 412739260?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-112)\/35)\/(2\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -213. Put 2\/7, -2, w in increasing order.\nAnswer: w, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 7*o**2 - 3. Let x = -17 - -10. Let d be v(x). Let c = -199\/3 - -67. Sort 1\/4, d, c in decreasing order.\nAnswer: c, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((2*sqrt(1800))\/(1*sqrt(600)))**2 + -5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 338*u**3 - 2*u**2 - u + 2. Is o(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**(-3\/7)))\/l*l)\/(l**(-2\/9)\/l)*(l**1)**(-7))**(-2\/35) assuming l is positive.\nAnswer: l**(908\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -26*t - 291. Let h(f) = 20*f + 291. Calculate 4*h(d) + 3*q(d).\nAnswer: 2*d + 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-49) + 428\/28. Let x(l) = l**3 - 14*l**2 - 13*l - 13. What is the remainder when 83 is divided by x(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398273820 divided by 1961940.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-12)\/(-9))\/(65\/78). Which is the second smallest value? (a) -4 (b) 2\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 19 = 4*w, 0 = -5*w - 2058*b + 2056*b - 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -4.8.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h - 3. Let d be f(8). Let x = d + -48. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:24 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 727 = 87. Let f = 4 + h. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 5*c + 13161*c**3 - 127672*c**3 - 32490*c**3 + 4*c. Let i be t(-1). Round i to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 0 + 12\/3. Suppose 120 = c*s + 22. Let w = 50 - s. Calculate the highest common factor of w and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5348 + -5347.9. Which is the nearest to h? (a) 0.1 (b) -0.2 (c) -0.154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3684 + 3712. Let m = 1 - 0. Is m less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15\/7*p + 0 - 1\/7*p**2 = 0. What is p?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y - y)*(6*y**4 + 46*y**4 + 13*y**4).\nAnswer: -260*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -k + 16, -4*b - 2*k = -6*k + 16. Let v be 5*(0 + 1) - -1. Let i = b + v. Solve 0 + 8 = 3*t + 2*a, -4*a = i*t - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -1260, -4495, -10860, -21399, -37156, -59175, -88500?\nAnswer: -126175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13930.877*4.\nAnswer: 55723.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 838 - 836. What are the prime factors of (-3155)\/q*5*22\/(-275)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 13. Let h(f) = -16*f + 64. Let l(v) = 2*h(v) + 11*p(v). Calculate l(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828613 divided by -1?\nAnswer: 828613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.5, -0.16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 4*t**2 + 0 - 25000*t**3 + 1\/24*t**4 + 0*t. Let l be f(0). What is l rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from rgggggggrgg?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10705 and 17128?\nAnswer: 85640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16*z**2 - 74*z - 11. Let b be d(5). Let t be (-1)\/1*(176 + 3 + -1). Let s = -121 - t. Calculate the greatest common divisor of s and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/784 + 15313\/3920. What is the common denominator of y and 51\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 265*b + 1596. Let l be a(-6). Let u(z) = 26*z - 178. Calculate u(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 13*s + 6. Suppose -s*f + 60 = i, 123 = 4*i + 2*f - 97. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/35016 and 1\/48?\nAnswer: 70032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 12*u**2 + 12*u + 9. Let g be t(-11). Let i(r) = -16*r - 13. Let y be i(g). Suppose -20*x + y*x = -241. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.207\nAnswer: -0.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5 - 20. Suppose -70 = -5*t + 4*s, 3*t - 55 = -i*s - 13. Calculate the greatest common factor of t and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 32.\nAnswer: -19\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216924119.\nAnswer: 107, 20718917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 584 in 3, 2\/11, 2, -30, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*q**3 + 107*q - 50226.\nAnswer: -417*q**2 + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 522*f + 40. Let t(z) = -174*z - 13. Let n(x) = 3*p(x) + 8*t(x). Let i be n(1). Calculate the greatest common divisor of i and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/10 - j**4\/24 - 3*j**3 - 444*j**2. Let h(r) = 2*r. Calculate h(y(o)).\nAnswer: 12*o**2 - 2*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -0.3, -0.4, -2\/11, -0.2, 3, 20.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4089 and 319?\nAnswer: 44979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126.83 - -124.83. Let f = 6 + -2. What is the nearest to -2\/9 in 0.1, f, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)*c*c**(4\/15)*(c**(1\/19))**(25\/2) assuming c is positive.\nAnswer: c**(-10873\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 6*a + 3. Suppose -8*f = -5*f - 30. Let m be g(f). Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052 is divided by 150.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 96*l**2. Let f(p) = -1784*p. Calculate f(k(n)).\nAnswer: -171264*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3398, 3049, 2444, 1583, 466, -907?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 15.16. Let o = -0.1599978 + d. What is o rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**1*b)\/b))**(-50)*b\/(b**3*b*b)*b*b**(-2\/3)*b*b*((b\/b**(-2\/7))**(3\/2))**(-3\/5) assuming b is positive.\nAnswer: b**(-593\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10149 - 3293. Is z < 6856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*(m\/m**(-1\/10))\/m*m)*m)\/m)**(-4) assuming m is positive.\nAnswer: m**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10869 - -10870. Sort -6, -52, a in descending order.\nAnswer: a, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -382.8 + 378.8. What is the smallest value in 22\/7, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -122202202?\nAnswer: 122202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169733 is divided by 1139?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 1 = -y + 4*f, -4*f - 17 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o - 10. Let r = 4 - 2. Let t be i(r). Suppose -t*q + 10 = -16. Solve -2*h - h = -y - 13, 4*h + 3*y = q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 555243*f**4 - 1969105*f?\nAnswer: 6662916*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 60\/24 + 3\/(-2) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -15*f + 8*f. Let z(p) be the third derivative of 1\/8*p**6 + 1\/42*p**7 + 0*p + 0*p**4 + f + 12*p**2 + 0*p**5 + 0*p**3. Factor z(w).\nAnswer: 5*w**3*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - 50) + 54 - 30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-105)\/(-14) + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 3943*v - 23636. What is l(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.9 (b) -0.043 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759 and 202059.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408004815 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + y**2 + 4. Let m(c) = 5*c**3 + c**2 + 5. Determine -4*m(i) + 5*v(i).\nAnswer: 5*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 173, 300, 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.2. Let a = 0 - z. Let r = a - 0.23. What is r rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 45. Solve 6*q + 4 = z*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 2*m**3 - m**3 + 13 + m**3 as i*m**2 + x*m + v + q*m**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 34010?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/12 + 11*x**5\/5 + 21*x**4 + 72*x**3 - 108*x**2 - 1296*x + 190. Factor h(m).\nAnswer: (m - 2)*(m + 6)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 2*o - 27*o)*(o - 3*o - 4*o)*(o**3 - 2 + 2).\nAnswer: 132*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 + 0.01. Let y = 32 + -36. What is the nearest to 1 in 0.5, y, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m - 79. Let q(v) = 7*v + 82. Let b(k) = 3*j(k) + 2*q(k). Calculate the remainder when 202 is divided by b(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57*(-1)\/(-9) + 2\/(-6). Suppose 0 = 2*f + 4 + y, -734 = -4*k + 2*f. Does 41 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43926203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*u - 204 - 9*u + 14*u + u + u**2 wrt u.\nAnswer: 2*u + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 71. Suppose -o = -5*j - 30. Suppose -1 - 1 = -u. Solve 0 = -3*s - 4*i + u, -5*i + j*i = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 65. Determine q(-19).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110, -44, 140, 502, 1102?\n\"Answer: 10*y**3 - y**2 - y - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 7, -23, -53?\n\"Answer: -30*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 4. Suppose 42*t - 348 + 54 = 0. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -9a?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.4 (c) 11\/4 (d) 0.02 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyfqqfqylqflfqffftf. What is prob of sequence yqyl?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 2611196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2146828, -1?\nAnswer: -2146828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-585)\/(-15))\/(((-3)\/6)\/((-26)\/(-156)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 + 0.18\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-36)\/v)\/(v*v**(-5\/13))*(v\/(v\/(v\/(v\/(v**(-1\/16)*v*v*v*v))*v)))**(-22) assuming v is positive.\nAnswer: v**(-15209\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4120\/6 - (-3)\/((-63)\/(-7)).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-2 - sqrt(1053)) + sqrt(3328)\/sqrt(4))**2.\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37845402 and 97590?\nAnswer: 189227010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 15*m**2 - 2. Let w(i) = i**2 - 1. Let s(j) = u(j) - 2*w(j). Let f(o) = -2*o**2. Give s(f(n)).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(sqrt(832) + (sqrt(832) - (-4 + sqrt(832)*4 + sqrt(832)))))**2.\nAnswer: -4800*sqrt(13) + 187600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = -4. Let k be (6\/u)\/(1\/2). Is (-13)\/(3\/(9\/k)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 4*r**2 + 5. Let s be y(4). Let i = -2 + s. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 65879.82 tonnes?\nAnswer: 65879820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -4\/7, -61.57, -30 in increasing order.\nAnswer: -61.57, -30, -0.8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12.9. Let m = -0.2 + -1.8. Let z(x) = -6*x**2 - 26*x - 8. Let a be z(-4). What is the nearest to a in -4, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, e: 3, o: 2, n: 5}. Give prob of sequence eg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11300 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 0*s**2 - 24 - s**2 as g*s + i*s**2 + v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64419581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + a**3 - 10 - 8 + 18.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -6*b**3 + 418850*b**2\/3 + 2746624*b\/3 - 1303456\/3 = 0.\nAnswer: -7, 4\/9, 23276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711 a factor of 361215882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 19 + 41. Solve 0 = -4*l + 7*l - u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-30))\/(-2 + 1). Which is the closest to r? (a) -1 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 6723.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.05. Let l = r + 0.95. Which is the second smallest value? (a) l (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjhc when four letters picked without replacement from hjjjcjjhhh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -103, 10, -3833 in decreasing order.\nAnswer: 10, -3, -103, -3833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-4)*7\/((-315)\/30)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/13))**(-32)*u*u**(-9)*u*u**(-2))**(29\/5) assuming u is positive.\nAnswer: u**(-4321\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621551005.\nAnswer: 5, 337, 368873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + 2*a**3\/3 - 7*a**2\/2 + 6*a. Let m be h(-6). Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1115*y - 1119*y - 1118*y - 13 + 3347*y. Let t be (7 + 1 - -1)*-1. List the prime factors of k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -23. Suppose 2*h + 1331 = 12*r - 9*r, g*h - 884 = -2*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 11 = -3*v + 1, v = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3056*d**2 + 2893*d**2 + 33 - 68 + 35.\nAnswer: -163*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20228.4 and -3.\nAnswer: 20225.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.4 - -1.2. Let p = n - -18.1. Let o = p + -6.900082. Round o to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16 - -27) + -20 - (-11 + 4 + -4)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Let u(j) = -4*j - 3 + 3*j - 3*j**2 + 2*j + b*j**2. Is u(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (200\/((-55)\/(-11)))\/(2322\/(-387))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 3*g**2 + 11*g + 3. Is z(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80693215?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184*l - 597*l - 588*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2*(-4)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 128. Suppose 2*c - l*z = 82, -2*c + 108 - 30 = 2*z. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 952392.\nAnswer: -1\/238098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 - 4199491*r**3 + 7*r**2 - r - 41457973 wrt r.\nAnswer: -12*r**2 - 25196946*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 3) to base 12\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 m, and 1 e when four letters picked without replacement from emmmtmtmmfetemftmet.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -3) + 7 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -597 - -1089. Suppose -h = -5*s - s. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1274)\/(-10))\/((-12)\/(-15)). Let w = 160 - q. What is the closest to -0.2 in 7, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1129568, 1129563, 1129556, 1129547?\n\"Answer: -j**2 - 2*j + 1129571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96131*d**6 - 109*d**2 - 11 wrt d?\nAnswer: 11535720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 40*p + 80.\nAnswer: 5*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5498247166437498*b + 5498247166437498*b + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 404, -1073, -2550, -4027?\n\"Answer: -1477*y + 1881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 114 = -3*v. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 - 2*k - 1. Let x be f(2). Solve -v + 1 - x = -b, 0 = -4*v - b + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -101211?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3748*k**3 - 9*k**2 - 5*k + 1. Does 29 divide o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001250873174 rounded to five decimal places?\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -2) + (-16)\/(-4). Suppose r = 4*x + 5, d*r - 2*x - 5 = 7*r. Solve 4*z - 6 = 4*w + r*z, 0 = -w - 2*z + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1485 + 146.3685. What is o rounded to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17. Let h be (-12 - -10) + q + -1. Calculate the remainder when h\/9 + (-193)\/(-3) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001100110100101110 - 111110100?\nAnswer: -1000001100111100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 7*a + 4 - 4 + 83396*a**2 - 83408*a**2.\nAnswer: -12*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.29 + -69.61. Let j = k - -74.89371. Round j to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/5)*g*g\/(g*g\/(g*g*g**(-3\/8)))*(g**0)**(-2\/5)*((g**1*g*g*g)\/g*g*g*g\/(g**(-2\/7)*g))\/(g**(-2)\/(g**(-2\/7)\/g*g)) assuming g is positive.\nAnswer: g**(321\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + 2*sqrt(1100) + -5 + -5 + 1 + sqrt(1100)) + 5.\nAnswer: -30*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -889621, -889619, -889617, -889615?\nAnswer: -889613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.056673 meters to nanometers.\nAnswer: 8056673000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*v - 196*v - p + 53 = 0, 27*v - 124 = 4*p - 479 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417642\/767 greater than 4455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-100)*(-8)\/14.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -114?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14765418 is divided by 372?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-6 + -6 + 2). Suppose -8*d + t*d + 93 = 0. What is the remainder when 149 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -be63e - -1?\nAnswer: -be63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 2. Let v = 2062 + -2060. Let d(b) = -b - 4. Let o(j) = -j - 3. Let h(k) = 2*d(k) - 3*o(k). What is v*h(l) + g(l)?\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15230 (base 10) to base 16\nAnswer: -3b7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15984 divided by 1\nAnswer: 15984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.028 and -935.4.\nAnswer: 26.1912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1384\/(-20068) - 3\/((-522)\/215). What is the second biggest value in -12, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 75 - 89 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16276208 + 16276207.1300043. Let s = -196 + 195.13. Let l = d - s. Round l to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + h + 42, -4202507*v = -4202512*v - 5*h for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 460978186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(650)\/sqrt(2) + -1.\nAnswer: -1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627080 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 + (-5187)\/(-156))\/(-4*(-9)\/(-120))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/36 + (-2 + 14)\/(-48). What is the nearest to -1 in 4, a, 29\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2710152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 26*u**2 - 3*u - 46. Calculate s(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 653 - 8.210782\nAnswer: 644.789218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*i + 20, 3*i + 2752 = -4*v + 2737 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 15*s**2 + 14*s + 5. Let f be d(14). Solve 0 = -f*q + 5*a + 25, -3*a + 5*a - 2 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49, 2\/5, 1, 2\/15, -11261?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7475\/42 + -629\/6. Let r = j - 73. What is the closest to -1 in r, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106895727?\nAnswer: 3, 1697, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 + 16*j + 3 + 5*j**2 - 2*j**2 - 13*j + 5*j**2. Let q(y) = -2*y**3 - 3*y**2 - y - 1. Give 3*d(i) + 8*q(i).\nAnswer: -i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0, 1, -4\/5080623?\nAnswer: -4\/5080623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -34*s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**3 + 4*t**4 - 3 - 5*t**4 + 2 to j*t + b*t**4 + i*t**3 + r + u*t**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(1591*w - 11237*w + 1282*w).\nAnswer: -25092*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59 * 0.1.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213030210 - -222210?\nAnswer: 213313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 - 7*r - 7. Let c be (-1)\/((1\/10)\/(-1)). Let g = 5 - c. Let d(t) = -t**3 + 5*t**2 - 5*t - 5. Give g*j(q) + 7*d(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*g**5 - 61*g**4 + g**3 - 2*g**2 - 32*g + 252.\nAnswer: 9240*g**2 - 1464*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 494 = 117*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-21 - 0) - -13) + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 45. Let u be 4\/6 + (-14238)\/k. Suppose -s = -4*p + u, -226 = -2*p - 4*s + 38. Calculate the remainder when p is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + -2*sqrt(190)*4 + sqrt(190))\/(sqrt(490) + -4*sqrt(490)).\nAnswer: 5*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and 97\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, 0.25, 0.3 in decreasing order.\nAnswer: 0.3, 0.25, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 211.\nAnswer: -5\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 4*a**2 - 8*a - 4. Let c be (-850)\/(-15) - 2*(-2)\/12. Let j = c - 49. Calculate the lowest common multiple of j and t(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.5 - 13. Let o = 3.5 - r. Is 1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 31*z - 3. List the prime factors of r(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5 + 0 - 9*l + 2*l. Let h be 45\/4*(-16)\/6. Let x = -29 - h. Let a(r) = r + 1. Determine x*g(p) + 6*a(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 2, -0.25, -0.3?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-286)\/(-26) + 57\/(-5). Suppose 5*z = k - 3*k + 10, -4*k - 10 = -5*z. Let o be 2\/6*(2 + k). Which is the nearest to 0? (a) o (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 142\/5, 0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2. Suppose 2*k = -3*a + 3, a = -2*k + 4*a + 9. Suppose 4*y + 0*y = -u - 15, 0 = 4*u + k*y + 8. Let g(s) = s**2. What is u*n(o) - 9*g(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -9, 5 in decreasing order.\nAnswer: 5, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from bybbbbbbyyybbbybyyb?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68.5 + 39. Let h = -100.5 + o. Let s = h - -131.1. What is s rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:47 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4\/5 (c) 44.6 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-16 + 18 - -84) + (-8)\/(-1) and 141.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 2073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -3*c + 12, -4 = -c + 2*t. Suppose 0*a + c*b + 6 = -3*a, -4*b - 12 = 0. Suppose 0 = f + a - 12. Solve -2 = 4*h + f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - 4ff88?\nAnswer: -4ff9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {e: 3, h: 7, x: 3}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/30 + (-8)\/5. Let s = g - -5. What is m in 4*m**s - 5*m**3 - 7*m**5 + m**5 - 8*m**4 - m**3 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849158217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448964 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/3 + -5 + 3. Let d be 703\/19*2*s. Suppose 0 = 4*l - 0*b + 2*b + d, 4*b - 12 = 0. Is -18 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12)*(-3)\/14*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -4 (b) -7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3))\/(w**2*w)*w*w\/(w**1\/w*w)*w**(-3))\/(w**(3\/5)\/(w\/(w*w*w**2))*(w**0)**(-29\/4)) assuming w is positive.\nAnswer: w**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 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: Two letters picked without replacement from gvggygkggkyyakgk. What is prob of sequence ay?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -7 + 1 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*sqrt(1573) + 2)*2 + -3))**2.\nAnswer: -44*sqrt(13) + 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h + 13. Let k(q) = -17*q + 38. Give -4*k(y) + 11*r(y).\nAnswer: 2*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*138\/(-50) - (((-2)\/(-5))\/2)\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -46?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 55*p**3 - 2*p**2 - 4*p. Let w(k) = -k**3 - k. What is -t(x) + 4*w(x)?\nAnswer: -59*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*c = 16, -4*q - 3*c - 2 - 10 = 0. Suppose 6*v = -q*v + 276. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 12, 30?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 580977.00600027 - 580977. Let o = v - 0.006. Round o to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 296442 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 4, -262, 34, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3533850988 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 854*i*z**2 - 49*i + 536*z**2 - 3019*z wrt z.\nAnswer: 1708*i + 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:25 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-21)*(-1)\/(9\/(-21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -339 in -18, 5\/6, -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.64 and -0.26.\nAnswer: 0.1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 - 20. Let z = -29708.22273 + 29874.222. Let u = k + z. Round u to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.479626 rounded to 2 decimal places?\nAnswer: 26.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f)\/(f*f**(-1)))\/((f**(-1\/6)*f)\/(f*f**0))*((f**7\/f)\/(f\/((f**(1\/3)*f)\/f)*f*f))**(-1\/63) assuming f is positive.\nAnswer: f**(2689\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -382?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5109041 divided by 31\nAnswer: 5109041\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:37 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(1377))**2 + 5.\nAnswer: 126*sqrt(17) + 1431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 319269 or -1\/3209?\nAnswer: -1\/3209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -608.3 - -625.3. What is the smallest value in -0.5, 1, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/488 + -9781\/10248. Let g = 8\/21 + d. What is the nearest to -0.2 in -2\/7, g, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1, 81, 1, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-2\/71)))\/b**(-8))\/(b**(-4\/15))**(-35) assuming b is positive.\nAnswer: b**(-278\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**2 - 5*l**2 + 23*l**2)*(3*l + 3*l - 5*l + (0*l - 3*l + 5*l)*(2 - 5 + 0) + 21*l + 0*l - 40*l).\nAnswer: -216*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)\/(3\/(-99)). Let a be 72\/d + (-4)\/22. Let f(b) = b + a*b**2 - b. Let h(k) = k. Determine h(f(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, -2\/31, -10, -5, -2\/45?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/((-884)\/(-39))*3*4\/90.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 3231*c**2\/2 + 246011*c\/2 - 242781\/2.\nAnswer: (c - 3153)*(c - 77)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5 - 14. Let x be 2\/(-1) - -1 - -2. Which is greater: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*k**3 + 148*k**3 - 64*k**3.\nAnswer: 580*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35524312 + 1?\nAnswer: 35524313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 5*q**2 + q + 2. Let k(p) be the third derivative of p**6\/120 - p**5\/60 + p**4\/24 + p**3\/6 + p**2. Let m(d) = -2*k(d) + t(d). What is m(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 22*s**2 - 2*s - 39. Let i be b(-22). Solve -4*z + 25 = 3*n, 5*z - i*n - 3 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7287 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2 - (-13 + (5 - -11) + -8)) + 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 4*w = 320, 2*w + 788 = 5*f. Let a = f - 106. Suppose t + 3*t = a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5661 and -67\/21334.\nAnswer: 120771774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8760421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 1\/614 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 - 1.9. Which is the third biggest value? (a) -103 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-11 + 1)) + -4 + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 50 = 5*p, -129*p - 43 = -3*w + 133*p - 264*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -16*a**2 - 4152. Let t(w) be the third derivative of -w**4\/8 + 3*w**2. What is m(t(z))?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -6. Let l = 559 + -261. Let m = c + l. Calculate the greatest common factor of 29 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2170093\/120 + -36169\/2. Find the common denominator of 123\/860 and p.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 - 412 = 14*w + 431 - 457 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.024 (b) 0.4 (c) -2.7 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -4.4. What is the nearest to p in 3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -91 - (4 + -5 + 1). Let v = -82 - t. Let j = -7 + 10. Calculate the highest common factor of v and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 7, v: 1, l: 6}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 - (-5 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 21254*v - 1 = 21257*v, 0 = 2*k + v + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3862701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 118?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-2*sqrt(11)) - (2 + (sqrt(5) - sqrt(15)\/sqrt(3))))**2.\nAnswer: 2*sqrt(5) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = -s, -s + 3 = -0*x + 4*x. Solve -s*v - 12 = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + y)*(1 + 0 + 2 + 0 + 6 - 4 + (-1 + 0 + 3)*(-1 + 0 + 0) + 1 + 4 + 0 + 1 + 0 - 3).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122196353 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607682 - 837323 = -5*y + 5*q, 0 = q - 1. Let t = 37570613\/130 - y. Let m = t - 34\/13. Which is the biggest value? (a) 0.5 (b) m (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17551\/6066 + -3\/674. Let w = -2 - -8. What is the common denominator of x and w\/(-9) + (-422)\/(-48)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/(495\/36)*1790\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + -2*(4 + (sqrt(500)*-2)**2 - sqrt(500)) - (2*sqrt(500) + -1 + sqrt(500) + -2 + -3)).\nAnswer: -7994 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -11. Calculate the remainder when l is divided by 17 + (3 + -2 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(0*g + 0*g + 2*g) + 3*g - g - 4*g + 0 + 0 + g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 54\/30 - (4 + 0)) + 493 + -490?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*m**5\/5 + 152*m**4\/5 - 79*m**3\/5 + 2*m**2.\nAnswer: m**2*(m + 10)*(4*m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1489, -2978, -4469, -5962, -7457, -8954?\n\"Answer: -r**2 - 1486*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10536180 and 878015.\nAnswer: 10536180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 + 191. Let y(k) = k + 63. Is 3 a factor of y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3.2. Let l = 3 - 0. Suppose l*h - 4*h + 6 = 2*g, 0 = 3*g - 6. Which is the nearest to z? (a) 0.3 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - (2 - -5)) + 61 + -82?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -89, 1455 in decreasing order.\nAnswer: 1455, -0.2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z + 3. Let u be q(-7). Let k = -77 - -63. Find the common denominator of u\/k*(-10)\/40 and 61\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 5\/2*l**2 + 36*l + 5\/2*l**3 + 5\/6*l**4 + 1. Factor y(z).\nAnswer: 5*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let d = -0.327 + -0.063. Let c = d + -0.61. What is the nearest to u in c, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 347820 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:12 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 48 = 7*g. Calculate the lowest common multiple of g and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14596 is divided by 7697?\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 6*r**2 - 4*r - 2. Let l be o(-5). Let p = 14.19 + -0.19. Let x = p + -15. Which is the second smallest value? (a) 2 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 105*u + 1545. What is q(88)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/11)\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3173381 (base 9) to base 7\nAnswer: -20315344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 7, 0.1, 38 in decreasing order.\nAnswer: 38, 7, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 - 16*l - 16. Let h(t) = t + 1. Let o(y) = -g(y) - 16*h(y). Let f(a) = 3*a**2. Calculate f(o(k)).\nAnswer: 192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55057027 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 6*p + 2*p - 13 + p. Let k be l(5). Let n be 65\/15 + k - 1. Which is the biggest value? (a) -4 (b) 2\/9 (c) -0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-8)*(-25)\/((-3850)\/(-56)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) -9 (c) 525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:02 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 5 = -13*g. Solve 0 = -5*t + 6 + g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(10\/3))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j*j**(5\/2)*j)*j*j*j\/((j\/(j*j**(1\/22)))\/j))\/((j\/(j\/(j**37\/j)))\/(j*j**(-18)*j)) assuming j is positive.\nAnswer: j**(-544\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = -15. Let u = -20.43 + 20.33. What is the nearest to u in -10, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*x - x + 6, 0 = -2*q + x + 4. Solve -3*t - 5 = -q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31450 (base 9) to base 14.\nAnswer: 7805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h + 773. Is 8 a factor of d(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 24. Let c(h) = -h - 3. Let g be c(s). Suppose -120 = -10*b + g*b. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3445 and 614724527.\nAnswer: 614727972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337*n - 387*n**2 - 108*n**2 - 225*n - 174*n wrt n?\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2547*o + 519192 + 343308 = 6828*o for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61133 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.93, 13, -0.53, 16\/17?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 6*k**3 + 0*k**3 + (k**2 - k**2 - 2*k**2)*(-2*k - 3*k + 2*k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4\/5 + 2794936*t**3\/5 - 13974764*t**2\/5 + 11179824*t\/5 = 0.\nAnswer: -698739, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -2\/5, 2\/7, 10.13, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 148\/6 + -6*(-7)\/(-63). Suppose 32*j - 38*j + t = 0. Solve 2*s - 10 = 2*i, -s - 3*i = j*s + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930059 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(-3 + sqrt(91)\/sqrt(7) - sqrt(13)) - -5*2*sqrt(1300)).\nAnswer: 36 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576621.\nAnswer: 3, 79, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 5*x + 15, 62*x - 59*x - 9 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1599*t - 8029. Is f(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48737238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 6) to base 14.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**8\/336 - 8*k**6\/15 + 47*k**5\/30 - 828*k**2. Find the third derivative of q(g) wrt g.\nAnswer: 60*g**2 - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.29 or -9\/4?\nAnswer: 2.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**12*x\/x**(-8))\/(x**(-1))**21 assuming x is positive.\nAnswer: x**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 21. Let s be (8\/g)\/(6\/(-15)). Solve 0*m**2 - 1\/3 + 2\/3*m + 1\/3*m**4 - s*m**3 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255564 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*m - 132*m + 330 = -66*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 5*m**2 - 4*m + 7. Let z(y) = -2*y**3 + 3*y**2 - 2*y + 3. Let w(x) = -x**3 - 4*x**2 - 12*x - 24. Let r be w(-3). Calculate r*q(d) - 7*z(d).\nAnswer: -d**3 - 6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**3 + 0 - 4*t - 1\/4*t**4 - 1\/2*t**2. What is the first derivative of a(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 5:05 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -39\/10481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187410*l - 187531*l - 12947 = 0 for l.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 - 2.6. Put -7\/4, i, -2 in increasing order.\nAnswer: i, -2, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s**2 + 92*s + 10. What is i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*i - 2. Let q be (-3)\/(12\/4) - -17. Suppose q = -0*x + 4*x. Calculate the smallest common multiple of i and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29445, -58957, -88469?\nAnswer: -117981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1 + 5\/(-4)). Let y(i) = i**3 + 5*i**2 + 2*i - 2. Let j be y(s). Suppose -45*t + 1171 = 631. Calculate the greatest common factor of j and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/4, 5\/2, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18055*g**2 - 11*g - 123.\nAnswer: -36110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 23. Suppose -3*i + d + 5 = 2*x, -4*x + 3*i + 17 = 0. Solve z - x*j = 1 - 6, 0 = j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by 51?\nAnswer: -121\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b078 (base 13) to base 11\nAnswer: 17260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, 5, -132\/25.\nAnswer: -132\/25, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.02379 + 0.02379. Sort -0.4, a, -0.166, 4, 0 in ascending order.\nAnswer: a, -0.4, -0.166, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/3 + 702*d**4 - 700*d**3 - 4208*d**2\/3 = 0?\nAnswer: -1, 0, 2, 1052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 596*i - 275. List the prime factors of c(6).\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19*h**2. Let q(c) = 8*c**2 + 5*c + 5. Let z(u) = -33*u**2 - 21*u - 21. Let t(w) = -21*q(w) - 5*z(w). Calculate t(y(v)).\nAnswer: -1083*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 466 - 108. Suppose -5*r + 968 = d. Suppose -10*t - r = -12*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39591 + 66549. What are the prime factors of g?\nAnswer: 2, 3, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 147*o - 13678. Calculate u(93).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 43*k - 56. List the prime factors of q(6).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 + h**2 + h + 1. Suppose -5*b - r + 3*r = 11, -5*r + 20 = -5*b. Calculate d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 17*d + 16 + 37 + 1 + 67 - 4.\nAnswer: -3*d**2 + 17*d + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 218, 486, 904, 1496, 2286, 3298?\nAnswer: 4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-70)*((-49)\/6)\/7\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/99 in -3, -2\/5, -623, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 240\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -279 + 171*f**2 - 152*f**2 - 595*f**2 + 275 as n*f**2 + z*f + s and give n.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzffffzf. What is prob of sequence fz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 11 + 1. Let y be l*-3*(-10)\/12. Suppose y*b - 36 + 3 = -4*t, 4*t - 30 = -2*b. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153317795.\nAnswer: 5, 30663559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637053 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 92. What is the highest common factor of 180 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11*i + 14*i + 11 = 0, 5*i - 30 = 3*n. Let a(y) = -y**3 - 6*y**2 + 7. Determine a(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-10) + (4216\/(-496) - (-2 - 6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 864*l + 440*l + 275*l + (6 - 2 - 3)*(3*l + 2*l - 4*l) - 2*l + l + 2*l.\nAnswer: -147*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 126 = -12*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 5, 2\/27, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 9*x + 2*x)*(-3*x + 5*x - 3*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1288 - 1112. What is the remainder when g is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1094, 8703, 29356, 69575, 135882, 234799?\nAnswer: 372848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/13, -669, 0.1, -0.01, -0.5, -3\/17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y**2 - 2*y - y**2 - 3*y**3 + 0 + 1 + 17*y**2 as c + r*y + a*y**3 + z*y**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3 + 5 - 3 + 25*k. Let i = -108 - -109. Let t be r(i). Solve z - d = -3*z + 19, 0 = -5*z + d + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, p: 3, i: 2, m: 2}. What is prob of picking 1 i and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12127 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4*z - k**4 - 8*k**2*z - 8*k*z + 2*z - 3 wrt k?\nAnswer: -24*k**2*z - 12*k**2 - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 9*s + 4*s**2 - 2*s**2. Let m(v) = 3*v**2 - 4*v. Let i = -533 + 548. Suppose 0 = -3*r + i, 2*o + 5*r - 37 = -o. Give o*d(z) - 9*m(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1\/27))**(-41)\/(j**(-21\/8)*j*j**11\/j*j) assuming j is positive.\nAnswer: j**(-20065\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 255*n - 88. What is y(-43)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003908 rounded to five decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -2*u - 5*i - 50, -34 = -2*u + 4*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 4, n: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + w + 2*w + (-249*w + 118*w + 216*w)*(3 - 7 + 1) + 0*w + 0*w - w to the form j*w + z and give j.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 1. Suppose -2*j + 5*n = -18, 5*n = j + 2*j - 22. Suppose 4*d - d = 3*y - 6, -j*y + 24 = 4*d. Calculate a(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -992625363 rounded to the nearest one million?\nAnswer: -993000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -5\/3*r**3 + 7 + 0*r + 5\/2*r**2. What is the second derivative of m(s) wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (4*(1*sqrt(119) - sqrt(119)))\/((-2*sqrt(70))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**8\/336 - 19*o**7\/1470 + o**6\/56 - o**5\/420 - o**4\/84 - 5*o**2. Factor k(w).\nAnswer: w*(w - 1)**3*(7*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 161 + 82 - 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 1. Let k = 89 - 90. Give c(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g - 420952 = 49*g. What are the prime factors of g?\nAnswer: 2, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*288\/3648*1\/(-1)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b. Let p(t) be the third derivative of -t**5\/30 - 4*t**2. Give k(p(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 14 = -s. Let u(g) = -14*g - 65. Let y be u(-16). What is the greatest common divisor of s and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 207, 487, 753, 999, 1219, 1407, 1557, 1663?\n\"Answer: -x**3 - x**2 + 290*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 341 - 10?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.152*-0.13.\nAnswer: 0.01976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v + 96 = 0. Let m = v - -22. Let f be (0\/(-1))\/(1 + m). Solve f = 5*y + 9 + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168632*q = 168658*q + 1768 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10289560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.3, 0.1, -1\/4, 0.05, 405\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25126768 and 0.9.\nAnswer: -22614091.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932925923 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/12)\/((-120)\/(-360)). Which is bigger: j or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96856100707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1cd5 - 2?\nAnswer: b1cd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210121002 (base 3) in base 4?\nAnswer: -31131011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*v + 43, -3*v + 125 = 2*v - 5*s. Suppose -4*h = -5*h + 14. Let q = -2 + h. Calculate the greatest common divisor of q and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-35)\/(11830\/208).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssf when three letters picked without replacement from {f: 9, s: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001128431 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 4*i + 4. Let x be j(4). What is the greatest common factor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 566 by 254.\nAnswer: 283\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lay when three letters picked without replacement from aflffflflflfyfyfflf.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001110110010 + 1101?\nAnswer: 1111001110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2508, 1608, 122, -1950, -4608?\nAnswer: -7852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43906*f = -43944*f + 2736 for f.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 240*q**3 + 2*q**2 - 7*q + 1. Let l(i) = -241*i**3 - 3*i**2 + 9*i - 1. Determine 4*l(j) + 5*y(j).\nAnswer: 236*j**3 - 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28715780 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: Solve 3 = h - 5*j, -27*j + 9 = 3*h - 30*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (0 + -4*4). Let d be (-90)\/(-21) - 4\/r. Suppose 0 = -k + 9 + d. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = -17*i - 1148. Let t = i + -157. Let j(n) be the third derivative of -n**5\/60 + 3*n**4\/8 - 7*n**3\/6 + 2*n**2. Give j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -194*w**3 - 605*w**2\/2 + w - 575. Find the first derivative of v(s) wrt s.\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 4*p - 3*p - 7*p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 327760*f.\nAnswer: 5*f*(f + 65552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7634 - 159?\nAnswer: -778d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12068 and 157\/103440.\nAnswer: 724080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(68) + 2.\nAnswer: 2 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 9*l**2 - 10*l - 14. Let g be o(-8). Let z(j) = -j**2. Let f(p) = -2*p + 2 - 3 + 0*p**3 + 2*p**2 - 2*p**3. Determine g*z(y) + f(y).\nAnswer: -2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-22) + (-4)\/(-22). Suppose -5*p + 27 = 3*r, -4*r + 19 = 4*p - 3*p. Sort k, p, -5 in increasing order.\nAnswer: -5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.279 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Let q = 7.691 + -9.691. Let z = -1 - -0.8. What is the closest to b in 1, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d + 18, d = j - 12. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*o = 189, 3*u + o = -o + 267. Let v = u - 86. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) 14 (c) 1\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 6, 4*s - 42 = v. Suppose a = 6*a - 495. Calculate the greatest common divisor of s and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 - 7)*(-4*t**2 + 6*t**2 - 3*t**2) + (0*t - 13*t + 3*t)*(-3*t + 0*t + 4*t).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1852058 = 3*w - m + 5*m, -5*m - 1234736 = -2*w. Suppose 34*g = -8*g + w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 3. Let b be g(-2). Let h = b - 4. Solve -h*p - 19 = 3*r, 2*r + 6 = 5*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 13547819.\nAnswer: 135478190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1222112201122 (base 3) to base 11\nAnswer: 65a923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 153019984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*i + 28*i**3 - 9*i**3 - 18*i**3 + 436*i to x + l*i**2 + v*i**3 + s*i and give s.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 954940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.9852 + -26. Round m to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and 3.01.\nAnswer: -16.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 + -177. Sort -0.08, b, 4.\nAnswer: -0.08, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 74, 115, 160, 209, 262?\n\"Answer: 2*j**2 + 31*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1852*k**2. Let m(b) = 110007 + b**2 - 110007. Give j(m(o)).\nAnswer: -1852*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -61, -73?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54065 is divided by 6727?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 11. Let m(c) = 13 - 1330*c + 1324*c - 3. Let n be m(3). What is q(n)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 + 4*f + 2. Let b be a(-4). Solve -b*z = h + 15, 0 = -h - z - 8 - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205920 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 + 2*k - 10. Let j be f(-3). Let u(h) = -45*h - 79. What is the hundreds digit of u(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.033 * -0.03\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2*l\/(l\/(l**(-3\/7)*l))*(l\/(l\/(((l\/(l*l*l*l**(-3)))\/l)\/l)))\/(l**(-4)*l))\/(((l**0\/l)\/l)**(21\/5))**(-20) assuming l is positive.\nAnswer: l**(-1165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*q - 44 = 0, 0 = -5*c - 2*q + 31 + 47. Solve -4*m + c = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, 3, -110, -71, -16 in descending order.\nAnswer: 3, 1, -16, -17, -71, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7739824.7 to the nearest 1000.\nAnswer: -7740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28758 + 28778. Solve w = 2*z + 2*w - 1, 0 = 4*w + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-2*(-7)\/(-133)*(-14)\/(-56)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 + 361*s + 1378. Give m(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115740.333s in days?\nAnswer: 1.3395871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*p**2 - 52*p**2 + 1 + 1227*p + 2*p**3 - 1229*p to the form c*p**3 + g + w*p + l*p**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6517 - -6516.99995753. Round h to six decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1592, 15 in ascending order.\nAnswer: 2, 15, 1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1121112 and 25\/31142.\nAnswer: 1121112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3 + 3)*(-g - 1 + 1)*(7514 + 16*g - 7514).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 5*u + 21)*(-78626*u + 33*u**3 - 46*u**3 + 78612*u - 73*u**3) to l*u**2 + s + w*u + t*u**4 + v*u**3 and give t.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -96, -166, -274, -426, -628, -886?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342956 divided by 14?\nAnswer: 1671478\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -9892, -9.4?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k. Let l(o) = o + 3. Let s(i) = -i - 5. Let t(m) = -5*l(m) - 3*s(m). Calculate n(t(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112)*-6 + 1*(sqrt(112)*1 - sqrt(112)))**2 + -1.\nAnswer: 16127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -777, -776, -775?\n\"Answer: r - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41526044873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/30*-2)\/(918*28\/3780)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22560 and 1176645.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 0*j)*(4*j**2 - j**2 - 5*j**2) - j + 4*j**3 + 3*j - 2*j**3.\nAnswer: 10*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-10))\/(((-3)\/(-8))\/((-45840)\/12224)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leeelleloeoeeooo. Give prob of sequence olo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5 - 257*r**4 - 22039*r**3 - 644255*r**2 - 1223416*r - 600944 = 0.\nAnswer: -92, -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(3087) + 2*sqrt(3087) + -2*sqrt(3087) + -5)*-2)**2.\nAnswer: -30240*sqrt(7) + 448128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 - 5*x + 59. Let g be o(-7). Which is the third smallest value? (a) 2 (b) 23 (c) g (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 0.129070341202.\nAnswer: 2.129070341202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 775 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 3? (a) -20 (b) 2\/7 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.7, 1, -4, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 26*z + 138. Let r be k(-33). Let g be (r\/(-32))\/(2\/8). What is the highest common divisor of g and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37330 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24 - -23)*(-3)\/1. Suppose b*d = 8*d - 45. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-3)\/(-4)). Suppose t = p - 0. Is 1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.2 - -12. Let m = 1.2 + p. Let b = m + 4.3. Put -3, b, -0.4 in descending order.\nAnswer: b, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**27*f*f)\/((f\/f**(12\/13)*f)\/f))**42 assuming f is positive.\nAnswer: f**(15792\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -853 + 867. Let b(s) = 8*s - 16. Let d(j) = 7*j - 16. Let g(y) = 6*b(y) - 7*d(y). Let q be g(i). Solve q*l + 3*o = -l - 6, -2 = l - 5*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5978*u**2 + 5. Let d(r) = -r**2 - 1. Determine b(d(p)).\nAnswer: 5978*p**4 + 11956*p**2 + 5983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. What is the second derivative of 0*v + 4*v**4 + p*v + 0*v wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 25 = 5*b, -999*b + 998*b - 5*s - 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:55 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 37 = 89. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-32) + (-45)\/70)*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 + 517*f**2 + 586*f - 763. Give n(-85).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5\/7, 2, -3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5480987 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o = 0. Let d(k) = -6*k - 4. Let y be d(2). Let g = 18 + y. Are o and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/390 + 4*i**3\/39 + 2*i**2 - 30. Factor b(c).\nAnswer: -2*(c - 2)*(c + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4491*c - 242512. What is l(54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 - q - 1. Let f be i(-1). What is the second smallest value in -0.1, f, -0.4, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13336 - -1003. What is the greatest common factor of s and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(-1*sqrt(98) + sqrt(98)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 269269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 c when four letters picked without replacement from {m: 2, c: 10}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211013834*g**2*i**2 + 152*g*i + 3*g + 791*i**2 - i wrt g.\nAnswer: 422027668*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-4 - -39 - 23) - (-3 - -2 - -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntt when three letters picked without replacement from qtttntttqtqntqtqtqtq?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 39*y**2 - 21*y + 9. Let r be d(-10). Suppose 0 = -9*u + 5152 + r. List the prime factors of u.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013337716 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r + 14*r - 5*r)*(-1 - 2 + 2)*(2*r - 5*r + r).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4456 - 3487 = 57*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83, -90, -103, -122, -147, -178?\n\"Answer: -3*f**2 + 2*f - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {l: 3, m: 4, o: 6}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 5:17 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 3. Let i = 31 - n. Let l(m) = m**3 + 6*m**2 + 3*m - 1. Let f be l(-5). What is the greatest common factor of f and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -2. Suppose 8 + 28 = c*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/19 + 0). Let x = -86 - z. Is (x\/(-10))\/(1\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2*sqrt(76))**2 + sqrt(76)) - (sqrt(76) + -2)*2)*6*6.\nAnswer: -21744 - 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*-6*4\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26872 - -26933. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 4 - 4 - w. Let v = 2 + 3. Let c(p) = 0*p - 2*p - v*p + 3*p. What is l(c(q))?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369097036*s**4 + s**2 + 49299593*s wrt s?\nAnswer: 8858328864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*q - 139 = 339, 0 = 5*i + 2*q - 1231. Suppose -10*o + i = -5. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303 or 1207\/4?\nAnswer: 1207\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939812 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 495971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1354 + 1348.07. Let a = 0.05 + -0.02. Let p = o + a. Round p to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 - 9*b**5 + 0*b**5)*(-1 - 2 + 4)*(-14 + 27 + 20) + (-b - b**3 + b)*(-b**2 - 2*b**2 + 4*b**2 + 2).\nAnswer: -331*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3 - 9. Let b = 7 + p. Which is bigger: 8\/7 or b?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*w + 36 + 522, 4*y + 1130 = -w. What is y rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9438, 9430, 9424, 9420, 9418, 9418?\n\"Answer: c**2 - 11*c + 9448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 x when four letters picked without replacement from {g: 2, w: 1, x: 6, v: 3, i: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-4*(-4)\/16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/9 - 28*x**3 - 2646*x**2 - 22*x - 18. Determine u so that p(u) = 0.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {m: 1, u: 3, b: 2, o: 8, d: 2, y: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let w(d) = -12*d - 2*d + 14*d + 2*d**2. What is v(w(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Let o = 11 - 6. Is w greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 190*m - 185*m - 15, 24 = 4*m - 2*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3759479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2\/2 + j + 17. What is c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 1508\/60 + 385\/(-75) + 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1060350*d**2 + 1673551*d wrt d.\nAnswer: 2120700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 10) to base 3.\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -837141*k**3 - k**2*m**3 + 18*m**3 - m**2 - 626*m + 4 wrt k?\nAnswer: -2511423*k**2 - 2*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let f(g) = g**3 + 17*g**2 - 2*g - 19. Let t(u) = f(u) - 6*x(u). Let z = -46 - -29. Calculate the remainder when t(z) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/114 and 49\/646.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/48)\/(-5)*(-8)\/42?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108392.\nAnswer: 2, 17, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22\/5, 3\/7, -5\/4, 5, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*r**2 - 19*r**2 - 8*r**2 + 14*r**2 - 53*r**2 as o*r**2 + i*r + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.492704 rounded to two decimal places?\nAnswer: -282.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 92*c**2 + c - 12. Let n be b(46). Solve -12*y = -10 + n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/41)\/(8\/(-10)*(-7975)\/12760).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 8.77 (c) 2\/3 (d) 0.2 (e) -0.1696\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22973 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccq when three letters picked without replacement from {c: 11, q: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((1 - (0 - 0)) + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y + 66 = 36*y. Let b(k) = -2*k. Let z(d) = -d**2 + 3*d. Let w(o) = o - 2. Let u be w(-2). Determine u*b(v) + y*z(v).\nAnswer: 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 236268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0. Let h = 5550329\/63 - 616683\/7. Sort h, 3, l in increasing order.\nAnswer: l, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*u**3 - 17*u**3 + 5*u + 5*u.\nAnswer: 19*u**3 + 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -760265, -760351, -760437, -760523, -760609, -760695?\nAnswer: -760781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*7 + (-11 - -19). Calculate the highest common factor of m and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120823*u = -120791*u + 224 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110077244 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 4, o: 4, v: 5, y: 1}. What is prob of sequence yl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19592\/8848)\/(-3 + (-43)\/(-14)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-2)\/9). Suppose 24 = i + k. Calculate the remainder when 61 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let y(d) = 19*d**2 + 3. Let c(s) = -38*s**2 - 5. Let h(x) = -3*c(x) - 5*y(x). Give n(h(b)).\nAnswer: 361*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 534769 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -621\/2 + 5479\/18. Calculate the common denominator of -1\/3 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9022 and 28596270.\nAnswer: 371751510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 471 = -456. Let j = -131 - a. Differentiate 7 - j*y**4 + 161*y**4 - 3 with respect to y.\nAnswer: -68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79456 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 9*a + 5. Let b be k(9). Suppose 0 = -5*h - b*w + 170, 0 = -4*h + h + 2*w + 97. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 19*u + 106. Calculate h(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.49257ml in litres?\nAnswer: 0.08449257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from oooobooooooobboooo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 13 - 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57008 and 4072.\nAnswer: 57008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491\/7 - -70. Is z at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 138538672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -88403*b - 88394. Give q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2050*i**2 + 187*i**3 + 791*i**3 - 2050*i**2 - 202*i**3.\nAnswer: 776*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/9)*o)**(-1\/31)*o**(-5\/3)\/o**8 assuming o is positive.\nAnswer: o**(-2726\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 + -10)*106\/(-5). Let r = y - -183. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-75))\/(4\/96*-4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/390*1). Let h(i) = -125*i. Let u be h(-1). Let z = u - r. Round z to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1045624cm in nanometers?\nAnswer: 1045624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*c - 79*c + 44*c + (0*c - 3*c + 2*c)*(0 - 1 + 9))*(c - c + 2*c**2)*(-2 + 0 + 1).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 41*g**2 - 16*g - 18. Let n be v(-14). Solve 0 = n*i + 17*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177 and 30.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3738 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279b90 - 6c4?\nAnswer: -27a584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35600536?\nAnswer: 2, 71, 233, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (-59 + 62).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from vlrammu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*u + 4 = 50*u, -5*u - 7 = -9*v + 11 + 41 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 3, l: 7, u: 2}. What is prob of picking 3 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 35721*x**2\/5 + 73332*x\/5 + 37636\/5 = 0.\nAnswer: -194\/189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 188*c**2 + 83*c. What is the tens digit of h(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*t - 1342*t - 4*p - 32 = 0, 5*t + 5*p + 45 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 196, 155, 98, 19, -88, -229, -410?\n\"Answer: -n**3 - 2*n**2 - 28*n + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132119 + 223242. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 150 = -d, -2*y + 60 = 6*d - d. Let q = y + -24. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269115*j**5 - 146*j**3 - 2*j**2 - 101209644*j wrt j?\nAnswer: 5382300*j**3 - 876*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 12. Let s be v(-9). Put 0, 4, s, -1 in descending order.\nAnswer: 4, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/11*19118\/(-5214)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -262, -1, -540?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.761 rounded to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847)*4)**2*2 - (-4 + sqrt(63) - (sqrt(7) + (sqrt(14) - sqrt(504))\/sqrt(2))).\nAnswer: -7*sqrt(7) + 108420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {t: 1, u: 3, w: 1, r: 2, e: 4, z: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 96. Let i be j(-9). Let x = 191 + i. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:51 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 27427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 930.9999477 - 931. Round t to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 10)*((2*t**3 - t**3 - 2*t**3)*(0*t**2 + 0*t**2 + 2*t**2) + 0*t**4 - t**5 + 0*t**4 - 3*t**5 + 0*t**5 + 2*t**5).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.418429s to weeks.\nAnswer: 0.0000288003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i**11)**(-38) assuming i is positive.\nAnswer: i**(-3838\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 295783326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 919403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose -2*i - r - 5 = b, -4*i + r - 5*r = 12. What is the second smallest value in i, -2\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g - 26253*g**3 + 26252*g**3 + 17*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 55 = -s, 4*s - 192 = 21*u - 19*u. What is the remainder when 1074 is divided by s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28937 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 3) + 378\/(-93). Is 1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197.8535 - -210.85. Let l = h + -13. What is l rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22600*j**4 + 2*j**3 + 9*j**2 + 2988800*j wrt j?\nAnswer: 271200*j**2 + 12*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 7. Suppose -11*s - 220 = -16*s. Let r be 4*((-174)\/s - -4). Which is the second smallest value? (a) v (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -3 + -19 + 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2554 = -2*w + 2531, 41 = -4*w - 5*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -3*y + 120. Suppose 6*q - 3*q = -2*o + 48, 0 = -5*q - o + y. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 25 + 52 - 18)*(0 - 9 - 8) - 8*l + 5 - 5 as i*l + m and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 23.3.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, g: 12}. What is prob of sequence vv?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25851 and 3438183?\nAnswer: 3438183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/8 + -1)\/(8\/(-3488))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35991 + 0.06951. Round a to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o - 20. Suppose -468*p - 928 + 560 - 1036 = 0. Sort o, -69, p, 5 in descending order.\nAnswer: 5, p, o, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -11. Suppose -4*n = -y + 59, 3*n + z = y - 30. Suppose -y*i = -41*i + 336. Round i to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.3. Let n = 3.1 + -3.1. Which is the nearest to 2\/9? (a) n (b) k (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*s + 9. Suppose -4*h = f + 11, 3*h - s = -f + 8*h. Let m(l) = l**3 - 5*l**2 - l + 7. What is the units digit of m(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/147499 and -31\/2530.\nAnswer: 1474990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 74801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2309957203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(208)*-1 + sqrt(208))\/(-5*(sqrt(4) + sqrt(16)\/(sqrt(4)*2) + sqrt(4))).\nAnswer: -16*sqrt(13)\/25 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.08 + -1360.31934.\nAnswer: -1364.39934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 29.95087 centimeters?\nAnswer: 0.0002995087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s + 15 = -59*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99912 and 6?\nAnswer: 99912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1444 divided by -4.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -1053*q**5\/20 + 620*q**2 - q - 69. Differentiate p(x) with respect to x.\nAnswer: -3159*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.6. Let z = -10 + 10. Let v = z - 3. Which is the second smallest value? (a) 2\/3 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) + sqrt(162) + sqrt(162))*4 + sqrt(162)*2*5 + sqrt(162) + sqrt(162) - (sqrt(162) - (1 + 1*sqrt(162)))*-3)**2.\nAnswer: -648*sqrt(2) + 23337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyy when three letters picked without replacement from {y: 12, g: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 95 + 554 = 5*b, -3*b + 4*w + 396 = 0. Suppose b = 4*m - 2*m. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 + -2 + 5 + 1 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 6 + (5 + -3 - 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (9 - 6) - (-4 + 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 10) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10531038337 and 4.\nAnswer: 10531038341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*q - 21, -5*z + 4*q = -0*q + 87. Let a = -9 - z. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -51)*130\/117?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 4*g + 0*g - 1 - 2*g + 1 + 3*g + 0*g - 2*g + (5 - 3 - 4)*(2*g + 0 + 0) + 0 + 0 - g + 3*g - 2*g - 2*g - 13*g - 5*g - 2*g.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.1 - -28.9. Is 0.1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11529570, -11529574, -11529580, -11529588, -11529598, -11529610, -11529624?\n\"Answer: -k**2 - k - 11529568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -238109\/46690 + -1\/4669. Suppose -72 = -0*d + 6*d. What is the common denominator of (369\/d)\/((-21)\/(-14)) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*o**2*z - 158728*c*o*z**3 - 8*c*z**2 - 4*o**2*z**3 + 3050147*o**2 + 23*z**3 wrt z.\nAnswer: -952368*c*o - 24*o**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.374809 nanoseconds to minutes.\nAnswer: 0.00000000033958015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.78? (a) 5 (b) 58 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.473 times -925763\nAnswer: -437885.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 486505 + -3 + 0. Let t = v - 332502. What is t rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59422 and 0.3?\nAnswer: -17826.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -114 - 110. Let f(s) = s**3 - s**2 + 7. Let y be f(0). Suppose -v - y = -2*v. What is the greatest common divisor of v and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22349461 at most -22349459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 39?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - -18. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrlr when four letters picked without replacement from kkkrrkrkkkkrklkrrkk.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (580*-69)\/(-12) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d. Let a = 41 - 45. Let j(c) = -6*c - 19. Let q be j(a). Let i(m) = q*m - 5*m + 4*m - 8*m. Calculate i(r(z)).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 0.02, 1, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -50 (c) 118 (d) 2\/13 (e) 0.02 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42460000 rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7 - 328112770*x - 2 + 328112771*x. Let c(k) = k**3 - k**2 - 10. Let i be c(0). Give l(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90378544.\nAnswer: 2, 5648659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 207392 divided by 2128\nAnswer: 12962\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8250.9 - 8251.26667. Let x = w - -0.363. Round x to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*i**3*u + 14*i*u**3 + 34*i*u - 2*u**3 - 1120*u + 7 wrt i?\nAnswer: -132*i**2*u + 14*u**3 + 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q**(-1\/4) assuming q is positive.\nAnswer: q**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.77 - -54. Let v = m - -0.32. What is v rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*g**3 - 5*g**2 - 12*g?\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19085\/(-1041))\/(25\/(-18)))\/((-2)\/10).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.95 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 207*u**2 + 1028*u + 6776. Give f(212).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 174*w - 2081. Give t(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3366172*u**3*x**4 + 2*u**3*x + 282156*u**2 + 8*u*x - 9*x**4 wrt x?\nAnswer: -40394064*u**3*x**2 - 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 11*r + 18. Let c be x(8). Let d(y) = 11*y + 6. Let h(u) = 10*u + 5. Let v(b) = c*h(b) + 5*d(b). Let l(w) = 6*w. Give -3*l(t) - 4*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 511873, 1023746, 1535619, 2047492, 2559365, 3071238?\n\"Answer: 511873*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2\/4 - 113601*a\/4 + 113607\/2 = 0.\nAnswer: -37869, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 16*m + 48 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2410*t - 2406*t - 4*z = -76, 2*t - 4*z + 48 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2119 + 6811. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 489267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 e when three letters picked without replacement from eemvtemeveevvmeim?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45912*a**2 - 22837*a**2 - 22812*a**2.\nAnswer: 263*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 2 r when four letters picked without replacement from {o: 3, q: 1, r: 3, p: 3, t: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52225, -104222, -156219?\n\"Answer: -51997*q - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -u + 332, 2*u - 1 + 93 = n. What is the greatest common divisor of 42 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001407537 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 6500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*5\/225*10\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 694 + -186. What are the prime factors of t - (0\/(-7) + 6)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 9*r**2 + 9*r + 16. Calculate o(-9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5124?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.418 + 0.018. Which is the fourth smallest value? (a) 0.3 (b) 0.2 (c) u (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*i - 2 - 3, i - 5*o - 9 = 0. Let g(p) be the first derivative of -p**2 + p + 344. Calculate g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 + 4*z - 39. Let v = -10 - -26. Is g(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/(2\/3). Let x = -1 + y. Let r be (2\/(-3) + x)*0. Let g(d) = -d - 2. Give g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12384 is divided by 3053.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11996507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from mmomxxdoxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299852, -599680, -899506, -1199330, -1499152, -1798972?\nAnswer: -2098790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117277366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r. Let a be p(-5). Let t be 2 + a\/9 + 0. Let x = 28.5 + -28. Sort t, 0, x.\nAnswer: 0, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 34*h + 84. Suppose -2*k - 5*z - 84 = -0*k, -4*k - 2*z - 136 = 0. Let v be t(k). What is the greatest common factor of 155 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -6044?\nAnswer: -6041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 440.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248\/(-110) - 0 - (-4 - (-1000)\/220).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 683*z - 236800. Determine i(253).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/7 (c) 3 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-3)\/117)\/(-13*7\/(-364))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 2. Suppose j + 0 = -1. Suppose -4*s - 4*a = -2*a - 10, 0 = -a - 1. Let t = j + s. What is c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 + 5*x**2)*(0 - 288*x**2 + 249*x**2 + 2).\nAnswer: -78*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 25. Let b be (-3 - (-3)\/1)\/(-20 + 19). Sort 4, b, i, -1 in increasing order.\nAnswer: -1, b, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5*f**2 - 1\/4*f**4 + 46 - 10*f + 8\/3*f**3. Let g be 9 + (0 - 0\/1). Give t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -53. Calculate the smallest common multiple of 2 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22068 minus -25940210.5?\nAnswer: 25962278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:07 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 + 519. Let f = 461 - m. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 304, 2.59, 2.\nAnswer: 0, 2, 2.59, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**17*v*v**5*(v\/v**0)\/v**(-1\/3) assuming v is positive.\nAnswer: v**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v = 11*v. Let -2\/5*j**2 - 6\/5*j + v = 0. What is j?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 74132212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7)*-17 - (0 - 2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + 12*c - 31*c in the form u + n*c and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6078 (base 11) to base 14\nAnswer: 2d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 + -1.3. Let j = 378\/5 + -76. What is the closest to t in j, -1, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 - (-6 + -1 + 6) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuii when four letters picked without replacement from {l: 4, x: 2, u: 4, y: 1, e: 3, i: 6}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -51. Let c(r) = 1 - 139*r**2 + g*r**2 + 71*r**2 + r. Let b(n) = -7*n**2 + 4*n + 6. Suppose x + 0 = 1. Give x*b(f) - 5*c(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 12, 8 in decreasing order.\nAnswer: 12, 8, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 4:22 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let b(d) be the second derivative of -d**5\/20 - d**4\/6 - d**3\/6 - d**2\/2 + 4*d. Calculate the remainder when b(-2) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = v + f, 2*f + 201 = 5*v - 43. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhuh when four letters picked without replacement from {h: 8, f: 3, u: 3, k: 2}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose -2*n + f + l*f = -24, 5*n - 86 = -4*f. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3*t**2 - 7*t + 9. Determine k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(17) + -1) + 5.\nAnswer: -sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 1. Let v be -1*(-6 - -3 - -1). Suppose w - v = 4*g - 2*w, 5*g = 5*w. Determine a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0. Let q = -29 - -31.95. Let l = w + q. Which is the third biggest value? (a) -0.1 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l, 4*l - 31 = 4*g - 19. Determine d so that 6\/19*d**g - 18\/19*d**5 - 42\/19*d**3 + 0 + 50\/19*d**4 + 4\/19*d = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204.63831 months to years.\nAnswer: 17.0531925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -192*q**2 - 44723*q + 3119. What is m(-233)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 214 - 222. What is the nearest to 2\/5 in 1\/4, -3\/8, m, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -1 - (18 + -7) - -111. Suppose s*w - 28 = 97*w. Let d(b) = -b + 24. Let g be d(0). Solve 4*j + w = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*i**3 - 13 - 6*i**3 + 14 + (3*i + 0*i - i)*(3*i**2 + i**2 - 6*i**2).\nAnswer: 3*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2028 or -2204?\nAnswer: -2028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c. Let x(l) = 7*l**3 + 5*l**2 - 2*l + 3. Let b(y) = -6*g(y) + x(y). Let m be b(-4). Differentiate -8*k**m + 6 - 4 + 8 - 1 with respect to k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13710 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + p + 2312. Let w = p + 904. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/60 - h**4\/12 + 4*h**2. Solve c(v) = 0 for v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82524 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 22, 1\/9, 0.6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-13 + (25 - 9))) + -3 + -10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 3:24 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001050672 rounded to six decimal places?\nAnswer: -0.001051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -r. Let o = -102 - -106.9. Let p = o + -5. Which is the closest to p? (a) r (b) -2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 584580. Let s(h) = 2*h**2. Determine c(s(q)).\nAnswer: 2*q**2 + 584580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/2 + 831*z**3 - 1653*z**2\/2 - 1659*z = 0.\nAnswer: -1, 0, 2, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 32 = 0. Let i = -22 + 22. Suppose i*p = -2*p + b. Sort 3\/4, 1\/2, p in ascending order.\nAnswer: 1\/2, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.98 - -39.98. Let t = n - 38.99795. Round t to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 4*s - 4*s)*(3 - 2 + 1) + 58*s + 212*s - 36*s + 5*s - 6*s + 3*s to the form w*s + o and give w.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-20)*6\/(-5)*10\/(-273)?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124315908683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*608\/(-342)*9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64574 less than -2?\nAnswer: 64572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008500049662 to four decimal places.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7120 + c16?\nAnswer: 7d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -2 - ((-2*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(10))**2.\nAnswer: -44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -13\/6*w**3 - 46*w + 0 + 7*w**2. Find the first derivative of s(v) wrt v.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/9)\/g**(-4))\/(g*g**(2\/3)*g)**(6\/5))\/((g**1)**1*(g\/((((g**(2\/11)\/g*g)\/g)\/g)\/g))\/(g\/(g**(1\/2)*g)*g)) assuming g is positive.\nAnswer: g**(-3043\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3183.282ng to milligrams.\nAnswer: 0.003183282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(50))\/sqrt(10) - sqrt(50)\/(sqrt(10)*1).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 29, 1, 2\/91, -0.18, -2\/9?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -4*q + 2*v - 6, 2*v = 4*q + 20. Let s(j) = -20*j + 11. Let n(d) = -7*d + 4. What is q*s(u) + 11*n(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 19 = 4*s, -w = w - 4*s - 22. Put -12, 4, w in decreasing order.\nAnswer: 4, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 3*m. Let f be (-2)\/(4 + (-57)\/15). Let v be (6\/(-5))\/(4\/f). Let n be l(v). What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24 - 0 - 1\/((-2)\/(-12)). Suppose 284 = b*i - 1552. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42602.2411334408 - 0.4385034408. Let o = 42602 - i. Let j = 0.199 - o. Round j to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t - 83. Calculate p(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 143 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2 + 2 - 3)*(1473*k + 3465*k - 7113*k).\nAnswer: 2175*k**3 - 2175*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -913, -1830, -2749, -3670?\nAnswer: -4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3 + 783*d**2 - 39348*d - 40128 = 0.\nAnswer: -304, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184*l**2 + l - 285.\nAnswer: 368*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -667*o - 667. Let m(d) = -1. Calculate -667*m(y) + w(y).\nAnswer: -667*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279308028 to the nearest integer?\nAnswer: 16713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30703.25cm to millimeters.\nAnswer: 307032.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (81\/(-6))\/(21\/1). Let t = n - 1\/42. Let a be (-2)\/4 + (-7)\/(-10). What is the second smallest value in 0, a, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1168596 and 222651?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 - 254. Which is smaller: 109 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4955181015 and -5.42?\nAnswer: 4955181020.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 54*d - 319. What is y(7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100101100 + 1011011010110111?\nAnswer: 1010001110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5868?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1596 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7814128*l**3 - 135713459*l**2?\nAnswer: -46884768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 21. Let g be 20\/20 - 4\/2. Which is the nearest to g? (a) -0.2 (b) x (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 10*z**2 - 9*z + 2. Let j be a(9). Suppose 37 = v + 3*c, -c = j*v - 3*c - 82. Calculate the highest common divisor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5849455189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/((-495)\/60))\/(((-3)\/1)\/24).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 + 4630*y**3 + 65625*y**2 + 164390*y + 103400 = 0. Calculate y.\nAnswer: -11, -2, -1, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004405 to the power of 1\/2, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2025 (base 6) to base 7.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 4*q + 14, -5*q = 0. Let h = -3 + a. Suppose h*g = 187 + 5. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 1840.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {q: 2, n: 1, k: 3, w: 1, a: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/9169341 and -121\/213951290.\nAnswer: 641853870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**7\/42 + 5*c**6\/8 - 25*c**5\/4 + 625*c**4\/24 - 2*c**2 - 30. Find h, given that w(h) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a84 - -83362?\nAnswer: 7a389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = -9, 0 = 5*a + 2*s + 169. Let b = 49 + a. Calculate the smallest common multiple of ((-12)\/16)\/(1\/(-16)) and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5987124\/(-2145)*(-20)\/3?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1108400109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/8*-1 - 5\/20. Let m(w) = 4*w**4 - 18*w**3 - 22*w**2 + 24*w + 12. Let z(d) = -d**4 + d**3 + d**2 - 2*d + 1. Let v(k) = a*z(k) - m(k). Factor v(t).\nAnswer: 2*(t - 1)*(t + 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 15, -5*o - 305 = 5*z - 1080. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180 less than -0.57?\nAnswer: 1179.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 8:11 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/676 and (-4 + (-1055)\/(-260))\/((-1488)\/688).\nAnswer: 20956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*p + 5. Let t = -11 - -8. Let f = p - t. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001011010010111101 (base 2) in base 11?\nAnswer: -a0652a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 934132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 24*c**3 - 2*c + 1. Suppose -3*o + 368 = 5*o. Suppose -q + o = -k, -5*q - k + 56 = -156. Calculate the remainder when q is divided by j(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -185\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 2*g**5 + 2*g**5 + (-g**3 - g + g)*(2*g**2 + 2*g**2 + 2*g**2).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 330 - 275. Suppose x*z = 36*z + 855. Which is the nearest to -1\/2? (a) -2 (b) z (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -147, -220?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d1 (base 15) to base 11.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 13. Suppose 0 = -3*h + 45 + j. Suppose 3*y + 4*u - 128 = 0, -50 = y - 2*y - 5*u. What is the greatest common divisor of y and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1235*i**5 - 446*i wrt i?\nAnswer: -24700*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 0*g)*((-3*g - 2*g + 4*g)*(13*g + 48*g + 39*g) + (g**2 + 0*g**2 - 2*g**2)*(4 - 2 - 1) - 4*g**2 - g**2 + 4*g**2) - 2*g**3 - 3*g**3 + 2*g**3.\nAnswer: -105*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8706 and 4353.\nAnswer: 8706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 30*j = 673. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(5\/(-320)). Let f = j - -38. Let k = 4 - f. Let d(c) = c**2 + 1. Let z(w) = -2*w**3 - w**2 - 2. Calculate k*d(v) - z(v).\nAnswer: 2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 169728 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 24*s + 5 = 0. Let p be s\/(-1) + (-2)\/((-2)\/(-3)). Solve p*k - 19 = -3*h, -10 = -5*h + 2*k - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10111001102100?\nAnswer: 10111001102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 312\/(4*-1). Does 11 divide (-1)\/(s\/82 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + (sqrt(136) - sqrt(136)*-2))*1)\/(-5*sqrt(40)\/sqrt(5)) + -4 + 5)**2.\nAnswer: -8*sqrt(17)\/5 + 297\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 3*f + 22, -f = -5*u - 82. Let l = 20 - u. Let c(m) = m**2 + 4. Let d be c(0). What is the greatest common factor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - t + 105 = 0, -3*l - 6*t + t + 83 = 0. Let g = -52775\/23 + 2296. Find the common denominator of g and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599434 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/15)\/(m**(3\/2)*m)*(m\/m**1*m)**22 assuming m is positive.\nAnswer: m**(589\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (105\/60)\/((-2)\/(-8)). Solve d = -o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 39*j - 476. What is the remainder when 439 is divided by s(-50)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 0 - (2 + (-3 - 2)). Suppose 0 = -5*c + l*c + 597. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60573613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3598 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31\/(-3) + 11)*3. Which is the closest to r? (a) -0.3 (b) -270 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 4. Let c(k) be the third derivative of 0 - 1\/54*k**5 + u*k**2 - 1\/108*k**4 - 1\/180*k**6 + 0*k + 1\/27*k**3. Find f such that c(f) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-16))\/(16\/32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 179 - 43 = 0. Calculate the remainder when 96 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3542 - -0.29296. Let g = -0.06 - n. Round g to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-5)\/5*(-2)\/(-45).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -504476, -504475, -504474, -504473?\n\"Answer: r - 504477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {c: 2, o: 2, m: 4, a: 1, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -18118\/16017 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 3, l: 1, v: 3, t: 1}. What is prob of sequence vtlo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*j**2 - 18 + 43 - 25.\nAnswer: 146*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4316147 divided by 4.\nAnswer: 4316147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -124*t - 131*t + 281*t. Let d(o) = 21*o**2. What is d(p(i))?\nAnswer: 14196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17*0.3543\nAnswer: 6.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - g - 3, 2*g - 14 = 5*z - 2*g. Is z at most as big as -11\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -114. What is the greatest common divisor of d and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + (-138)\/24. Let j be l\/(-4)*350\/21. What is the highest common divisor of j and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70305490 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -1\/2*j**2 - 1\/360*j**6 - 2 + 1\/90*j**5 - 1\/72*j**4 + 0*j**3 + 0*j. Let h(b) be the second derivative of m(b). Factor h(s).\nAnswer: -s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/9*d**5 - 16\/9*d**2 - 20\/3*d**3 - 6*d**4 + 0*d + 0 = 0.\nAnswer: -4, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:37 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 4. Let c be (-39)\/21 - (2 + s). Let i be ((-570)\/(-42) + -14)\/((-2)\/28). What is the third smallest value in i, c, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*u - 3*m - 752, u - 156 = 3*m. Find the third derivative of -131*s**2 + 60*s**2 + 25*s**3 + u*s**2 + s**4 wrt s.\nAnswer: 24*s + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51538 divided by 728\nAnswer: 25769\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28202 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 12) + (3 - -11 - (19 - 26) - -63).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 - -109. Let t = -23 - -25.8. Let h = 0.2 + t. Which is the second biggest value? (a) -0.6 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - c + 18, -4*c + 0 - 8 = -4*u. What is the third derivative of 0*o**4 + 0*o**4 - 172*o**2 - 26*o**3 + o**4 - 3*o**u + o**4 wrt o?\nAnswer: -24*o - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*s + 21, -4*s + 3*t - 2 = 5. Suppose 2*q + 8 = 4*w, 2*q + s = -2*w - 0. Let j = q - 1. Which is the biggest value? (a) j (b) -0.5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.141566*0.0793.\nAnswer: -0.0112261838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, h: 4, v: 1, i: 1, t: 3, q: 5}. What is prob of picking 1 v, 1 h, 1 o, and 1 t?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228619341?\nAnswer: 3, 2822461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9807 and 3\/508?\nAnswer: 4981956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78.9 + 79. Let x = 4\/19 + -77\/95. Which is the third smallest value? (a) 2 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19535*i**2 + 109*i + 33.\nAnswer: -39070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**8\/168 - 17*i**7\/105 - 5*i**6\/4 + 13*i**5\/30 + 68*i**4\/3 - 64*i**3 + 6*i**2. Let p(f) = 0. Calculate f.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 6439, 14508, 25817, 40372, 58179, 79244, 103573?\nAnswer: 131172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**34\/(s**4*s*s**4))\/((s**1)**0\/(s\/s**1)**(1\/6)) assuming s is positive.\nAnswer: s**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1242230 (base 5) to base 2\nAnswer: 110000001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -13. Let a be (-5 - -1)*1*w. Suppose -a*l + l + 120 = 0. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 990 or 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2 + 7692*d - 92592 = 0?\nAnswer: -3858, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.9 + 2.1. Let j = v + 15. Suppose 49*c = -5*x - 8 - 116, -3*x = 45. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - g - 1. Let i be 0 + (2 - 0) + -9. Let n(b) = -b - 7. Let k be n(i). Determine u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 5*k**2\/2 + 2*k - 3. Suppose 3*y + 266 = 5*y. Calculate the remainder when y is divided by r(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*d - 85, -4 = -2*j - 2*d + 14. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1780 = 4*v - 2772, 4564 = 5*g - 2*v. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z + 118*z = -197*z + 2590 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30751 and 0.5.\nAnswer: 30751.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = t + 3*t - 80, 20 = 4*t. Let i(q) = -q**2 - 9*q + 7. Let m be i(f). Let h = -26 - m. Solve -2*g + 7 - 3 = -h*b, 0 = -3*b - 4*g - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -14, -4\/7, 0.1, -35 in increasing order.\nAnswer: -35, -25, -14, -4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5229, 5007, 4655, 4167, 3537, 2759, 1827?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2 - 1 + 5 - 3 + (3 + 1 - 3)*(-2 + 0 + 0))*(5*h - 3*h - h) to t*h + i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21854 divided by 10927?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/48 and 121\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -46.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/313 and -7\/626?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 9*b**2 - 6*b - 12. Let f be g(-8). Let s be f\/14 + (-6)\/42. Is 31\/5 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-100) + (3906\/(-10))\/(-3). Let t = b - 128. Solve -2*o - 4 = -t*g, 2*o + 3 = 4*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 1 - 207)*(-10)\/8. Suppose -v - v = -k. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000530307 rounded to 6 decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.2 - -1.2. Let y = 38 + t. Put 0.6, -0.4, y, 0.4 in increasing order.\nAnswer: y, -0.4, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2016000 to the nearest ten thousand.\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*b - 104, 4*l + 8 = 5*l - 4*b. Let i(u) = 6*u - 177. Let j be i(l). Let z(h) = -h**2 - 11*h - 3. Determine z(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.63 * 0.03.\nAnswer: 0.0789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5117368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 69835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - p**2 + 21*p + 225. Let x(f) = 3*f**3 + f**2 - 19*f - 225. Let y(r) = -7*o(r) - 8*x(r). Find the second derivative of y(g) wrt g.\nAnswer: 24*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11433040 (base 5) to base 9\nAnswer: 174767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269208 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 368 = -0*s. Let q = 48 - s. Let u be (q - 2 - 5)\/(-1). Let p(l) = 3*l + 4. Give p(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 3, z: 4, h: 2}. What is prob of sequence xy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Let o = 205 + -168. Let l be 50\/(-2)*o\/185. Put 0, n, 3, l in decreasing order.\nAnswer: 3, 0, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*o + 984 = 0. Suppose n = 3*i + o, 3*n - 440 = -2*i - 2*i. What is the highest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 divided by 523?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**4 - 58395*f**3 + 362535 wrt f.\nAnswer: -12*f**3 - 175185*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-75)\/9) + -6. Let f = 1.8 + -1.94. Let b = -0.44 + 0.04. What is the third biggest value in c, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59189 is divided by 19694?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 266\/63 - 4\/18. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*d = -672. Suppose -m = -5*s + 81, -7*s = -3*s + 4*m - d. Calculate the remainder when 58 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3688 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1007, -4028, -9065, -16124, -25211, -36332?\n\"Answer: -v**3 - 1002*v**2 - 8*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = -u + 14, -5*u = -4*v - 56. Suppose -c - 5*d + 3*d - 4 = 0, 3*d - 4 = -4*c. Suppose c*t = -u + 48. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -977\/4 - -244. Which is the third smallest value? (a) 0 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 24, 2, 586.\nAnswer: -3, -2, 2, 24, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16890 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 39*j**2 + 37*j + 18. Calculate u(-38).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from itn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(3 - 3 + 2*r) + 4 + 3 - 5 - 21*r.\nAnswer: -25*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237798 divided by 3603.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*k - 17, 4*t = 2*k - 8 - 4. Suppose 4*q + 8 = 3*q - 5*p, -4*p = 0. What is the remainder when (-118)\/q - 9\/12 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 3 = -3*a, -4*s = 5*a + 2. Find the third derivative of h**3 - h**2 - 4*h**2 + 6*h**a wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8573*a + 8639*a - 5*w = 381, -21 = -a - 5*w for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 14*c + 42*c - 4836 = 0. Solve 9*f + 186 = c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 133.643l?\nAnswer: 133643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*c = -28218, -4*t + 9*c = -4844 - 23398. Is t a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-180)\/35)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.01, 72, -1\/6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 332?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3\/7 (c) -1 (d) 14 (e) 7\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 - c**3 + 72*c + 20*c - 5*c**2 to the form x + g*c**2 + j*c**3 + z*c and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21707950, 3.\nAnswer: -21707950, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(-2*sqrt(1008))**2 + 1.\nAnswer: -20154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.344602\nAnswer: -0.5378408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -909 + 908. Sort 1\/3, d, -0.13, -1\/2.\nAnswer: d, -1\/2, -0.13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182919071.\nAnswer: 12583, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13213033 (base 5) to base 2\nAnswer: 100000010010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -16. Let u = j + 5. Let b = 6 + u. Which is bigger: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w)\/((w\/(w*w\/w**(1\/17)))\/w)*(((w**(2\/5)\/w)\/w)\/w)\/(w\/w**14) assuming w is positive.\nAnswer: w**(964\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91425.09cm to nanometers.\nAnswer: 914250900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64138012.\nAnswer: 2, 1171, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -19. Suppose a - 14 = 5*r, -3*r = -2*a + 2*r + 13. Calculate the remainder when ((-23)\/3)\/(a\/3) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*j - 5 = 3*x, 0 = -5*x - j + 5. Solve 5*u - 2*g - 3 = -6*g, x*u = 5*g + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73427 + -73902.01. Let a = -473 - o. What is a rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:23 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/164493 and 68\/91385.\nAnswer: 822465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -330 - 25?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**15)\/z)\/((((z\/(z*z**(1\/4)\/z))\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 338445 - 58934. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 31 + 25 = -q, 0 = -3*q + 5*t + 18. Let x = -45\/32 + 561\/160. What is the common denominator of ((-7)\/(-5))\/((-1 - q)\/7) and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 168467, 168511, 168581, 168677, 168799?\n\"Answer: 13*u**2 + 5*u + 168449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 745530?\nAnswer: 745525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*i - 6 = -92, z - 4*i - 73 = 0. Let q = -1 - z. Let n = q - -154. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188963280 and 17178480.\nAnswer: 188963280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + 0 + (-145 - -110).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/5 + 28662*n\/5 - 166576 = 0. What is n?\nAnswer: -14360, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, x: 2, f: 2, u: 9, t: 2}. Give prob of picking 1 u, 2 j, and 1 x.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -53. What is the remainder when 41 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*h + 19*h = -73*h + 3276 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 6, -2, 19, -452 in ascending order.\nAnswer: -452, -3, -2, 4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7144, 14231, 21302, 28351, 35372, 42359?\n\"Answer: -p**3 - 2*p**2 + 7100*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 16, -4*s - 5*l - 6 + 2 = 0. Solve 6*d - 10 = s*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 9*n + 2. Let b be r(-6). Let i(t) = -5*t - 4. Let q(x) = 18*x + 15. Let u(c) = 9*i(c) + 2*q(c). What is the tens digit of u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 60, 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*r - 45 - 22 = 0, -2*a = 3*r - 18. Let u = -4218 - -4251. What is the lowest common multiple of u and a?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6253)\/(-6) - (-1)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 10\/3 - 114\/(-18). Let v be (-2 + a + -5)\/((-5)\/20). Let y be ((-4)\/(-26) + (-15)\/(-156))*v. Solve o + y*o = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4\/5 (b) -0.3 (c) -2\/23 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21 - 8 + 14*y + 4 - 15*y. Let v be z(-27). What is the second derivative of 4*r + 109 - 109 + 14*r**v - 46*r**2 wrt r?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001438807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.035619.\nAnswer: -0.071238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6256 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -10*u**3 - u**2 + 35*u + 2. List the prime factors of w(-4).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h + 30*h + 28*h - 25*h**2 + h**3 - 9. Does 30 divide z(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12945059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 3. Let o(q) = -q**2 - 7. Let y be o(0). Is b(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z**7 + 1\/168*z**8 + 0*z**5 + 0*z**4 + 0*z - 1\/60*z**6 + 2*z**2 + 0*z**3 + 0. Factor d(p).\nAnswer: 2*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107779902, 215559818, 323339734?\n\"Answer: 107779916*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5 (c) -13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 46529\/(-782)*10\/7.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -151 + 171. What is the remainder when 59 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -6 (b) 12 (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(36)*5).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -232 + 232. Let n(h) be the first derivative of -2 + o*h - 2\/3*h**3 + 2*h**2. Find the second derivative of n(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 13*g - g - 3*g - 3*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 + 11155*u**4 - 3043718*u**3 + 268062138*u**2 - 7770857661*u - 2620183437 = 0. What is u?\nAnswer: -3979, -1\/3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19483, 19486, 19493, 19504, 19519, 19538?\nAnswer: 19561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61676421 + 0?\nAnswer: -61676421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*w**4 + 1531*w - w**4 + 45*w**2 - 5368*w**6 - 1485*w wrt w.\nAnswer: -644160*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -657533\/4 - -164361. What is the common denominator of 754\/3192 - 6\/(-21) and b?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) 5 (b) 71119 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36542 and 6342?\nAnswer: 767382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 36 = -5*k. Let p = k + 11. Solve -5*q + 3*b - 7*b = 7, 0 = p*q + 3*b + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40741 and 6026?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1*s*s)**49*s**(-6)\/(((s**5\/s)\/s*s)\/s)*((s**(-1)*s)\/s)**(29\/3)\/((s*s**(-1\/5))\/s**(-5)) assuming s is positive.\nAnswer: s**(1103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2, 0.216, 2, 0, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24*42\/(-4032))\/(10\/(-8)). Factor m**2 - v*m**3 - 4\/5*m + 0.\nAnswer: -m*(m - 4)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.7 times -0.07?\nAnswer: 2.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.405*-82.\nAnswer: 115.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1321197 and 21.5.\nAnswer: -28405735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8933 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 8. Let t = -836 + 832. Give d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**2 + 18*c - 4. Let k(x) = -23*x**2 + 12*x - 3. Determine 6*k(q) - 5*s(q).\nAnswer: -43*q**2 - 18*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 38 + 24*b - b + 7 - 14.\nAnswer: 23*b - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/3, 1\/2, 0.2.\nAnswer: -2, -2\/3, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-12)\/(-1 + 5). Suppose v*o + 100 = 3*c, o + 66 = -5*c + 224. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 355255 divided by -232\nAnswer: -355255\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -318, -10, 4, 44, -3 in descending order.\nAnswer: 44, 11, 5, 4, -3, -10, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2\/4 - 98827158*l + 3255602386118988 = 0.\nAnswer: 65884772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7235*h**4*z + h**2*z - 14662*z wrt h.\nAnswer: 173640*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((1 - (3 - -9)) + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49254 and 66.\nAnswer: 541794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*a*l - 3493*a + 1672032*l**3 + 1665 wrt l.\nAnswer: 14*a + 5016096*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3516 or -3517?\nAnswer: -3517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-60)\/(-94)) + 134\/(-1005). Let f be q\/2 - (2 + -1). Which is the nearest to 0.2? (a) 0.2 (b) f (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = 3073 - 30241. What are the prime factors of s?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.92. Let y = -2.92 - w. Let h be (-12)\/(-36)*(-3)\/2. What is the second smallest value in y, 1\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u + 30 - 30 to the form x + n*u and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -12. Let b = 5.3 + -0.3. Let s be (6*1\/4)\/(-3). What is the closest to c in 0.5, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 902.1, 0.2, -0.09, 2\/51?\nAnswer: 902.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(720)*3 + 0 + sqrt(720)).\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*g = 1 - 34, 4*i + g - 32 = g - 4*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -5*c**2 - 5\/6*c**3 + 0*c**4 + 0*c + 0*c**5 + 0 - 1\/60*c**6. What is the derivative of m(k) wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 933 + -292. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 9:28 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**(5\/4)*(t**(-2\/17)*t)\/(t**(-2\/7)*t))\/((t**4*t*t*t\/t**(-2\/13))\/((((t*t**7*t)\/t)\/t)\/(t\/t**3))) assuming t is positive.\nAnswer: t**(57591\/24752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4*u*u*(u\/(u\/u**(-1\/2))*u)\/u)\/((u*u**2*u)\/u*u**(-1\/9))*((u\/(u**(-2\/13)\/u))**(1\/45))**(-12) assuming u is positive.\nAnswer: u**(3553\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1519 to 2 decimal places.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001101100011101011101 + 111?\nAnswer: 10011001101100011101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581668?\nAnswer: 2, 145417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**2 - 119*u - 97. Give g(11).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051632841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/10*2 + 4. Let o = h + 2. Let m(d) = d**2 - d + 1. Determine m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3439026\nAnswer: -1\/3439026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*v = -4*n - 27, 29 = -3*n + 4*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 737 - 4297\/6. Find the common denominator of 39\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*j**4*r**2 - j**3*r**2 - 179*j*r**2 + 2*j wrt j.\nAnswer: 300*j**2*r**2 - 6*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 3*n**2 - n**2)*(-7*n**3 - 2*n**3 + n**3 + (-n + 4*n - n)*(3*n**2 + 3 - 3)).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/56 + (-10953)\/(-8519)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -2. Let m = 2.3 + h. Let w be 116\/84 + (-4)\/(-14). Which is the nearest to 2\/5? (a) -0.2 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q - 60*q + 264. Suppose -q*k = -6703 + 1839. Calculate the greatest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(5\/4)*y)*y)**(1\/5)\/(((y*(y**(6\/13)\/y)\/y)\/y)\/y*y**(-5\/2)*y) assuming y is positive.\nAnswer: y**(1063\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34442031 - 2?\nAnswer: -34442033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 2. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 + -109. Let m = -64 + h. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 2*n**2 + 0*n**2)*(-3 + 4 - 2)*(3*n + 4*n - 4*n)*(2*n - n + n) as k*n**3 + v*n**2 + i*n**4 + a*n + z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 5*d, -2*l + 2 = 3*d + 2*l. Let t be (-1)\/(2\/d*-1). Which is bigger: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -203, -1\/8, 65, 1, 6\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*c + 467*c + 465*c - 1870*c + 473*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 16090.\nAnswer: -16086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*x**3 - 426*j**2*x + 4*j**2 + 3*j*x**3 + 2*j*x + 33*x wrt j.\nAnswer: -8*x**3 - 852*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/(6\/27). Let u be (-3 + 1 + l)*2\/(-2). Is (u*2)\/((-1226)\/(-307) - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 53*n = 56*n - 14, 0 = -3*d - n - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1343 and 948?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470961943?\nAnswer: 3, 283, 1049, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -8 (c) -1.8 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 213*c = -420*c + 210*c - 24, -3*c = -5*w - 24 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133645 is divided by 26728.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205294692*g**2*o**2 + 2*g**2*o - 137468*g + 1015*o**2 wrt g.\nAnswer: 410589384*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i + 47. Let u be l(-5). Let b be (-4)\/(1 + (u - 0\/4)). Solve -b = 2*j - s, 3*j - s = 2*s - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92130 divided by -222?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132100 - 10330121?\nAnswer: -11122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010000101001111101 + 1100110001?\nAnswer: -101010000011101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:20 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1832, -3725, -5606, -7469, -9308, -11117, -12890?\n\"Answer: a**3 - 1900*a + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 1, -2, 9, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 - s + 3. Suppose 15*d + 10 = -80. Let m be d*(133\/(-42) + 2). Give z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z + 11*z + 6*z + 10*z - z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 3, -5, -27, -69, -137?\n\"Answer: -w**3 + 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -q. Suppose -4*p + q = b - 102, -2*b = 6. Suppose 5*t = t + 40. What is the remainder when p is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.016 + 1.226. Put 4, 3, x in descending order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwwnlnlwlwwwnlw. What is prob of sequence lll?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -6. Solve f + q = c, -3 = -2*f - c - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.3, -4, -2\/249, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - q**2 + 557. Suppose -13*i + 15 = -10*i. Suppose 4*c + u = 5*u - 16, 20 = -4*c + i*u. Is a(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13)*g)**(-1))**(2\/43) assuming g is positive.\nAnswer: g**(24\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 - 3*q**2 - 43 - 4*q**3 + 3*q**3 + 3*q + 39. Let d be v(3). Suppose 4*k - 2*o - 3004 = 0, d*o - 2915 = -4*k + 89. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, y: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1151, -1192, -1227, -1256, -1279, -1296, -1307?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (11 + (-21 - 0) + -3)) + -66?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:14 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2375, -4774, -7175, -9578, -11983?\n\"Answer: -o**2 - 2396*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 925*a - 2233. Give u(2).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((3 - 3) + 6)*(1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152\/456*6\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/4)\/((-840)\/416 - -2). Suppose -3*n - 5*i + 185 = 0, -4*n - 3*i = -71 - 183. Calculate the greatest common factor of h and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 - 328 + 6*q**2 + 4*q**2 - 6*q**2.\nAnswer: 4*q**2 - 589","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 6*k**2 + k + 7. Let n be w(-6). Let v be -3 + (-4)\/(-4)*-122. Let s = v - -997\/8. What is the second smallest value in -5, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 207*d**2 + 23*d + 61. Is q(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/2 + 4*z**2. Let b(o) = 2*o**2. What is m(b(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/7 (b) 40 (c) -0.017 (d) -0.01 (e) 0.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*b - 951 + 171 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - (sqrt(768)*-2 - sqrt(768)))**2 + ((sqrt(24)\/sqrt(2))**2 + sqrt(12))*-1.\nAnswer: -2*sqrt(3) + 12276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*l**2 - l**3 - 120*l**2 + 2 + 52*l**2 as a + k*l**2 + p*l**3 + u*l and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a + -a0604?\nAnswer: -a0793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275010 is divided by 1993?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6) + (-2)\/(-4). Let t be -2*((-30)\/(-12) + -1). Let d(n) = -n. Let v be d(t). Solve -v*x - 3 = -q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/10 + ((-86)\/10 + 13 - -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 7*t**5\/4 - 2*t**2 - 88*t. Let o(p) = 3*p. Calculate o(s(l)).\nAnswer: 315*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + x - 1. Let f be v(1). Suppose 0 = -2*m - 3*m + 10. Suppose m = f*z + 8. Let s(u) = u**2 + 3*u + 1. Calculate s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + n - 19 - 2, l = 2*n - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3 + 5*u - 73. Let l(q) = q**2 + 2. Let j(v) = 15*l(v) - 6*p(v). Let i(f) = -5*f**2. Determine i(j(r)).\nAnswer: -45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqzlfrqlqllrllqrzll. What is prob of sequence qrrq?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/2))**31*(q**(-1\/2)*q)\/(q\/(q\/q**(-1\/3))))\/((q\/(q\/(q**(-1)\/q)))**(-32\/3))**(-26) assuming q is positive.\nAnswer: q**571","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**3 + 5*v**2 - 7. Let q(t) = 4*t**3 + 2*t**2 - 2. Let m(r) = 8*r**3 - 2*r**2 - 2*r + 3. Let w be m(1). Give w*q(k) - 2*a(k).\nAnswer: 2*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58610, 58190, 57494, 56522?\n\"Answer: -138*p**2 - 6*p + 58754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 - 3504*j\/7 - 1023168\/7.\nAnswer: -3*(j + 584)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -22 - (-1 - 8) - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -m - 2*m - 19, -2*f = -10. Solve 5*x + 30 = 2*q, -m*x + 24 = -3*x + 4*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*1)\/((-1)\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10255 is divided by 1453.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 18 + (14 + -7 + -16 - -12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286 + 291. Calculate the least common multiple of o + -3*(-4 + (-61)\/3) and 34.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*o - 347*o + 975 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -178860, -357880, -536900, -715920, -894940?\n\"Answer: -179020*g + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 - 6*w + 1. Let i be h(-6). Suppose 4 = g - i. Suppose 0 = -3*u + g*u - 5*j - 146, 5*u - j - 411 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -9, -o + 4*f = -12. What are the prime factors of (o\/7)\/(2\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4002 = -737*j + 766*j. Which is greater: 1806\/13 or j?\nAnswer: 1806\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118 - 1 + 3)*(2 + 1 - 1)*(-4*y + y + y) - 1 - y + 1 to the form g + o*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 146*m - 141*m. Let o(c) be the third derivative of 0*c**3 + 1\/45*c**5 + 0 + 0*c + 5*c**2 + 0*c**m - 1\/180*c**6. Find x, given that o(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166962.9213ms in weeks?\nAnswer: 0.00027606303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*c - 870, 14*c = 4*n + 16*c - 3436. What are the prime factors of n?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = 7*v, -7 = -3*g + v - 3. Solve -g = -u, 4 = -2*c + u - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -9)*(-52)\/10 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 167019762?\nAnswer: 2, 3, 7, 13, 149, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1\/135*p**6 - p**2 + 0*p**3 + 1\/1008*p**8 - 11\/1890*p**7 + 0*p**4 + 0*p + 0 + 1\/135*p**5. What is v in k(v) = 0?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -75. Is -508*((-6)\/2 + (-11)\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:22 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -30*q. Let c(j) = -43*j - 2. Let s(h) = -2*c(h) + 3*r(h). Determine s(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 4*q + 3. Let f be u(-1). Suppose -5*g - v + f = 0, -3*g - 2*g + 21 = -4*v. Suppose 3*d + 3*n = -2*n - 2, n - g = -2*d. Is d greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*g = 90, 508*x = 498*x - 5*g + 90 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -46?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*p - 8 = 0, -5*g + 3*p - 14 = -2. Let u(l) = -3*l - 2. Let h(f) = -f - 1. Give g*u(x) + 7*h(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 7*y - 37. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 4*z)*(z + 4*z - 3*z) + 0*z + 3*z**2 + 0*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + 219 + 17*h**2 - 224 + 3*h**3. Let u be y(17). Let n be ((-30)\/6 - -6)\/((-1)\/u). Solve 0 = -5*o - 4*l + 16, -2*l = -o - n*l + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21501 - 1791 = -10*g. What are the prime factors of g\/(-4) - (-39)\/(-52)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9511514?\nAnswer: 2, 19, 43, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -23391285621.\nAnswer: -23391285621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 10}. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*a - 440, -3*w + 3*a + 148 = -2*w. Suppose -4 = -4*t, -5*t = d + 4*d - w. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - 108. Suppose 9*p - 832 = 230. Let b = p + u. What is the highest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*w + 18, -b - 4*w = 3*b - 48. Let d be -3*b\/(-6) + -3. Suppose -16 = -4*y - g, -g - 8 = -d*y + g. Solve -y*j - 4 = 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*p + 521 = -0*d, d + 2*p = 159. Let m = d + -163. Calculate the remainder when 70 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:22 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102, 196, 280, 354?\n\"Answer: -5*k**2 + 109*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 - j. Let p(o) = 71*o**3 - 3*o**2 + 3*o - 1. Determine -p(i) - 3*t(i).\nAnswer: -68*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9549 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29 + -1)*(-2)\/4. Suppose -1 = -3*o + u, -4*u + 5 = -y. Solve -o*t + 2 + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Suppose n = -p, 7*m - 3*m + 4*p = 52. Let c be 6\/4 + m\/(-10). Solve 4*j = 2*w + 2*w + 8, -5*w - 3*j + 22 = c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4885 - -7302. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/((t\/(t*t**(-1\/5)\/t))\/t))*t))\/t)**(19\/3))**(-2\/29) assuming t is positive.\nAnswer: t**(76\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3414 - -3536. Calculate the remainder when r is divided by 104.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppprrpppqrqrrpqq. Give prob of sequence qprq.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4387791 (base 10) in base 7?\nAnswer: 52203252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 14*k = -295, -262*t + 266*t + 5*k + 9 = 97 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586660.27 days in weeks?\nAnswer: 83808.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6837 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 2}. Give prob of sequence xsx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**3 + 2*j**2 - 1. What is g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + z**2 + 2*z**2 + (7*z - 4*z + 3*z)*(3*z + 2*z - 3*z) + 0*z**2 - 6*z**2 + 4*z**2 to n*z**2 + l*z + d and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(5*(sqrt(153) + sqrt(153)*-4 + sqrt(153)) + sqrt(153)))\/(sqrt(324) - -4*1*sqrt(324) - -5*sqrt(324)*-2).\nAnswer: -27*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from kskykkoskkkkksoyy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 15 = -12*v. Suppose 4*t = -4*d, 2*t = -v*d + 5 - 2. Let o(x) = 2*x**3 + x**2 - x**3 - 8*x**3. Determine o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 67. Suppose -h + v + 219 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b1 + 5?\nAnswer: 7b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 123773 = -5*g, 9*r + 2*g = 241149 + 130157. Is r a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3030, 7434, 11838?\n\"Answer: 4404*a - 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1088463 and 0.6?\nAnswer: 1088463.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 391 - 274. Let j = n + -84. Calculate the remainder when 119 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133200312010 (base 4) to base 7\nAnswer: 130134352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 59 = -61 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 = -5*q. Sort 3, q, -3 in decreasing order.\nAnswer: 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + s**2 + s + 1. Let h(l) = 172273*l**3 + 81603*l**2 + 81603*l + 81603. Give -2*h(q) + 163206*w(q).\nAnswer: -18134*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 256*k - 263*k - 434. Let g = -58 - k. Solve 15 + 25 = g*r + 4*p, -2*r = -4*p + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*l + 35*l**3 - 4*l**2 + 69*l - 206*l + 63*l as b*l**3 + d*l + v*l**2 + a and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 16. Let l be (-6 - -3) + (-5)\/(-1). Factor -4*m**u + 2*m**3 + 3*m**4 + l*m**5 - 3*m**4.\nAnswer: 2*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*l\/(((l**0*l)\/l)\/l)*l)*l**2)\/(l*l\/(l\/(l\/l**(-1\/9)))*l*l*l*l\/l**5) assuming l is positive.\nAnswer: l**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 4*s**2 - 2*s - 7. Let t = -40 + 43. Suppose -3*x = 4*z - 23, -2*x - 13 = -t*x - 4*z. What is the units digit of f(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5097, 9971, 14629, 19071, 23297, 27307?\nAnswer: 31101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*w - 4*o, 2*w - 1493*o - 14 = -1487*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 25739310400775.\nAnswer: -25739310400811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Suppose -4*d = 5*p + 20, d - 3*p = 2*p - 5. Suppose -1324 - 1160 = -138*n. Put n, d, -3\/8 in ascending order.\nAnswer: d, -3\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178627121 plus -8638?\nAnswer: -178635759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 680708?\nAnswer: 3403540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d - d - 7 - d. Suppose -5*x = -2*c - 27, 231 = x + 228. Calculate w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 s when four letters picked without replacement from ndknsnkbinndsssnkn?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*z - z = -14, -r + z = 4. Let w be ((-1)\/r)\/(-6)*3. Let d = 3.2 - -0.8. Put 1\/4, d, w in descending order.\nAnswer: d, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + 43. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 + 2201*r\/4 - 1100.\nAnswer: -(r - 4400)*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*g + 32, 3*f + 4 = 5*f. Let m = 30 - 12. What is the smallest common multiple of (3 + -7)\/(g\/24) and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 24*r + 318. Let q be u(-13). Solve 6*p + 7*p = q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 3:22 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -155*x + 1289. Let o(z) = -77*z + 637. Let u(a) = -4*j(a) + 9*o(a). Find the first derivative of u(l) wrt l.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22863000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r. Which is the third smallest value? (a) r (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:46 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 3. Let c(p) = -p**3 - 4*p**2 + 7. Suppose 0 = -26*r - 567 + 284 + 231. Suppose -2*q = 3*q + 25. Determine q*s(j) + r*c(j).\nAnswer: 2*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 2275.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/14 - 4\/((-4)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrxrrrrrxxrrx. Give prob of picking 1 x and 2 r.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n + 40. Let o(x) = 22*x + 80. Let t(d) = -5*g(d) + 2*o(d). Calculate t(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = -15. Let c = b - -11. Sort -1, 3\/4, c in increasing order.\nAnswer: -1, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 20*a\/9 - 16\/3.\nAnswer: -2*(a - 6)*(a - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:55 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2. Let l(x) = 132*x + 3. Calculate q(l(n)).\nAnswer: -52272*n**2 - 2376*n - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**2 - 34*q - 101. Let y(g) = 19*g**2 - 85*g - 253. Let b(w) = 12*h(w) - 5*y(w). Calculate b(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4\/9 + 1004*l**3\/9 - 4948*l**2\/9 + 2300*l\/3 - 328 = 0. What is l?\nAnswer: 1, 3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*sqrt(192) + (sqrt(72)\/sqrt(6) - sqrt(12)) + -1)*-5)**2 + 3.\nAnswer: 6400*sqrt(3) + 307303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3088565 is divided by 174?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 91. Let p(t) = 325*t. Give p(y(k)).\nAnswer: -975*k**2 - 29575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 48*s**6 + 4*s**5 - 5*s**3 - 7*s**2 + 101*s. Let t(q) = q**5 - q**3 - q**2 - q. Let m(o) = -g(o) + 5*t(o). Find the third derivative of m(n) wrt n.\nAnswer: -5760*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 555 and 50.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(162) - sqrt(162)*3) + 0 + (sqrt(162) - (-2 + sqrt(162) + 3)))*5)**2.\nAnswer: 900*sqrt(2) + 16223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by ((-35)\/(-21))\/(5\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56bd16 (base 14) to base 10\nAnswer: -2952368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410 (base 6) in base 8?\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/42)\/(2\/14). Factor 4*g**2 + g**3 - 4*g**2 - 8*g + 5*g**3 - 8*g**4 + r*g**5 + 8*g**2.\nAnswer: 2*g*(g - 2)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -1 - 7. Find the third derivative of -2*f**2 + 0*f**3 - 3*f**6 - 2*f**3 + b*f**3 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5765205 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110211210100 (base 3) in base 7?\nAnswer: -21462141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*a - 115*a = 774. Solve -85*m + a*m - 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**5 + 668*m**2 - 2 - 668*m**2 + 7*m**4 + (-2 + 2*m**5 + 2)*(1 + 2 - 1).\nAnswer: 13*m**5 + 7*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*15*(-16)\/50)\/((-14)\/(-35)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 70 + 2. What is the common denominator of ((-403)\/(-52))\/(x\/4) and -76\/69?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*q = -7, -o = -3*q - q + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, b: 1, y: 2, a: 1, m: 1}. Give prob of picking 1 a, 1 m, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w. Let p = 94 + -94. Suppose -t + 83 + 114 = p. Let l(m) = 2*m + t - 197 + m. Determine f(l(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1115*h + 71 - 1126*h + 12. Calculate k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*q - 804, -305 - 699 = -5*n + 3*q. Sort -1, n, 5.\nAnswer: -1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23523*f - 23521*f = 36 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - o**2 + 3*o**2. Suppose -12*k = 22 - 46. Let l(r) = -11*r**2 - 8*r**2 + 21*r**2 - 3*r**k. Give l(f(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-30)\/(-381)) - 4\/10. Suppose -b = -5*i, -5*o - 2*i + 250 = -3*i. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3633013315 - 5?\nAnswer: -3633013322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (99 + (23 - 3 - 52))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 15) in base 9?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 22 - 2 = -3*r, -3*r + 10 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = 0, 2659*j + c = 2664*j - 28. Let u(d) = -6 - 2*d - 3*d + 6*d**2 + 11*d**2 - 16*d**2. Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.3 - -5.43. Let o = q - -0.25. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*z = -431*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 676181643 divided by 3\nAnswer: 225393881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7607 is divided by 7109.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**3 + 87*u**2 - 6*u. Let w(i) = 13*i**3 - 174*i**2 + 11*i. Give 11*a(f) + 6*w(f).\nAnswer: f**3 - 87*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-12))\/((-186)\/248))\/((-1)\/(-27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4618840 is divided by 300?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 7*t - 1. Let n = 75 + -40. Let b = 30 - n. Determine y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31018 and 26246.\nAnswer: 341198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 4*d + 5. Let o = 2 + -6. Let w be t(o). Let c = -260\/3 + 88. What is the smallest value in c, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + -4.1. Let b = 0.41 - 0.01. What is the nearest to 1 in r, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3422401, 3422661, 3423365, 3424735, 3426993?\n\"Answer: 37*c**3 + c + 3422363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -13 + 0*f**3 + 0*f**2 + 15\/4*f**4 + 12*f. What is the first derivative of q(u) wrt u?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -1\/2*h**2 + 2*h + 0. Let y(g) = g. Determine 3*q(b) + y(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 34683602.\nAnswer: -5\/17341801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -7152602.\nAnswer: -7152600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1453.19 and -1.5.\nAnswer: -2179.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3767.19622 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 493.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:43 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 507*f - 456*f - 969 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1501458 to three decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3 - 271*a**2 - 272*a = 0.\nAnswer: -1, 0, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2852 - -3092. Let l = 24 + -9. Calculate the greatest common factor of l and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 1 n when three letters picked without replacement from {g: 1, d: 1, f: 2, p: 2, l: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/35)*k*k**(-7)*k)**(-15) assuming k is positive.\nAnswer: k**(321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*f**4*x**3 + 2*f**4 + 10*f**3*x**3 - 2*f**2*x**2 - 2*f**2*x + 182*x**3 wrt f?\nAnswer: 2616*f*x**3 + 48*f + 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*p - 6, 4*p = -j - 0*j + 6. What is the least common multiple of j and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:20 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (63\/105)\/(1\/25). Solve -7*n - f = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*w + 2 = -86, -w + 88 = 4*b. Let j(s) = -s**3 - 16*s**2 + 20*s - 27. Calculate the remainder when j(-18) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/106*(-4)\/6*-39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab2 (base 16) to base 14.\nAnswer: -3daa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 - 4*v**2)*(2*v - 1 + 1)*(-2*v + 2*v + v)*(113*v + 124*v - 156*v).\nAnswer: -810*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 25, 34, 43, 52, 61?\n\"Answer: 9*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 426732 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -5 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1 + 0*b - 1\/12*b**5 + 1\/2*b**3 - 4*b**2 + 1\/120*b**6 - 1\/24*b**4. Determine r(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaalbal. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 84 = -7*o. Let x = 73 - o. Suppose 0 = -c + x - 56. Calculate the greatest common divisor of c and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k = 1055353 + 11949160 + 41767. Round k to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7640 and 11.408.\nAnswer: 87157.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6*(3042\/3549)\/((-135)\/(-462))\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 2, u: 1, l: 2}. Give prob of sequence ls.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**3 + r**2 - 2*r. Let p(d) = 1802*d**3 + 2*d**2 - 4*d + 9600. Let j(z) = -b(z) + p(z). Find the first derivative of j(u) wrt u.\nAnswer: 5394*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-7) - (-8)\/(-28). Suppose h*j = -2*j + 64. Suppose -3*m + 4 + 10 = -2*p, -5*p = -2*m + 24. Calculate the lowest common multiple of m and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.17*1.3.\nAnswer: -1.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/181 - 177\/362. Let l = 13 + -8. Let y = l + -4.96. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 1964421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 496.0648 kilograms?\nAnswer: 0.4960648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*h - 2*b, 9*h + 39 = 4*h + 7*b. Solve h*s = -s + 3*k + 30, 0 = -2*s + k + 16 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 69 - 339 = 0. Let d = t - 2971\/55. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-5 + 5 + 2) + 46 - 64 - 50)*(-3*s + 0*s - 2*s).\nAnswer: 350*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 193? (a) -2014\/7 (b) -2\/9 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 2*g**5\/15 + g**4\/4 - g**3\/6 + 7*g**2. Let u(q) = -9*q**2 - 7*q + 1. Suppose s + 5 + 1 = 0. Give s*u(n) - 7*h(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a**(-1\/5)\/a))**(4\/5)\/(a**12*a*(a*a**14)\/a) assuming a is positive.\nAnswer: a**(-591\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/10)\/((-6)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, -13726, -5, 0 in descending order.\nAnswer: 5, 1, 0, -3, -5, -13726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51566608 to the power of 1\/2, to the nearest integer?\nAnswer: 7181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 50*s = 32*s + 375, 3*s - 63 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiziiziiizizi. What is prob of sequence zi?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*u = -608 + 103, 4*i - 3*u + 655 = 0. Let c be (i\/84 + 2 + 0)*-9. Suppose 2 = p - 0. Sort -0.3, p, c in increasing order.\nAnswer: c, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**4 + 7*y**3 + 24*y**2 - 7*y + 7. Let x(w) = -w**4 + w**3 + w**2 - w + 1. Let c(m) = 2*b(m) - 14*x(m). What is the third derivative of c(z) wrt z?\nAnswer: 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 c(w) = 85*w + 1. Let u be c(1). Suppose -2*g - 4*p + 2*p + 44 = 0, -5*g + p + u = 0. Calculate the smallest common multiple of 10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + 2 - (sqrt(2736) - (4 + 2 + sqrt(2736))))**2 - (6*(2*(sqrt(19) + sqrt(19)*-1))**2 - (4*sqrt(19)*-2 - (sqrt(190)*1)\/sqrt(10))).\nAnswer: 207*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -176457 - 2?\nAnswer: -176459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23295709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1527400 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 279612323.\nAnswer: 279612323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8245 or -8305?\nAnswer: -8305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -1\/20*n**5 + 0 + 1\/70*n**7 - n**2 - 1\/8*n**4 + 0*n**3 + 1\/40*n**6 + 0*n. Factor d(v).\nAnswer: 3*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 6*k + 1. Let s(o) = -1207*o + 1. What is s(y(b))?\nAnswer: -2414*b**2 - 7242*b - 1206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-s**3 + 4*s**3 - s**3) + (s + 5*s**2 - s)*(2*s + 3*s - 6*s - 2*s + 2*s - s + (0 - 2 + 4)*(-3*s + 3*s - 2*s) - 3*s + 2*s - s).\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11228, -44235, -99046, -175661?\n\"Answer: -10902*k**2 - 301*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101110111100 (base 2) to base 13.\nAnswer: 6c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*y - 1, -371*m = -370*m + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942343?\nAnswer: 7942343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-18)*147 + -6. Is (-39)\/q + (-1626)\/(-16) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.34664, -0.5?\nAnswer: 0.34664","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.13 + -2.73. Let x = -4.4 + v. Let r = 0.15 - -0.05. Which is the closest to r? (a) 0.1 (b) -2\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 21. Give q(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 387\/5 or -26918?\nAnswer: 387\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 39*p**2 - p + 13. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 970 = -4*p - 19*t, -488 = -2*p - 3*t. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*-6*(sqrt(7) - 3*sqrt(49)\/sqrt(7)))**2.\nAnswer: 288*sqrt(7) + 36292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 4*v - 81*v**4 + 78*v**4)*(0 + 4 + 1 + (-3 - 1 + 6)*(2 + 3 - 4)) as d*v**3 + u*v**4 + c*v + o*v**2 + n and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 72750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 0 - 2\/1. Suppose -c*x - 4*a = -0 - 52, 3*x = -5*a + 56. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4034 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 - 171. Let d(k) = -k**2 + 17*k + 1. Let r be d(14). Suppose -a - n + 6*n = 16, 2*a - r = -5*n. Calculate the highest common divisor of a and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0) + 21 + -7. Let b(h) = -3*h**3 - 14*h**2 + 7*h + 13. Let k be b(-5). Suppose k*y - 32 = 5*v, 12*v - u*v = -2*y + 43. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 35. Let h(d) = 11*d - 13. Give h(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101 (base 3) in base 12?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36825 divided by -24.\nAnswer: -12275\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 4*k)*(1 + 3 - 3) - 4*k - 3*k + 2*k + (0 + 2 - 1)*(-k + 4 - 4).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(18)\/(sqrt(6)*2*2) - (1 + (sqrt(3) - sqrt(24)\/(sqrt(512) - sqrt(8))) + 4))**2.\nAnswer: 17*sqrt(3)\/14 + 1651\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = 3*w, -2*w = 6*a - 3*a - 4. Solve -1 = -m - a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 - 2*n + 2. What is r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose 4*b + 8 = -4*v, 12 = 3*b - q*v - 7. Suppose 20 = b*w - 10. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**3 - 4. Suppose -15 = -z + 2*v, z - 4*v = 37 - 14. Let d(m) = -8*m**3 + 2. Give z*d(k) + 4*p(k).\nAnswer: 4*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-3))\/((-14)\/(-12)). Factor 2\/7*o**4 - 6\/7*o**3 - v - 4\/7*o**2 + 24\/7*o.\nAnswer: 2*(o - 2)**2*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*80\/(-30)*-9. What is the highest common divisor of 408 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.82 + -0.8. Let f = h - -4.98. Let k = -7.8 + 8. Which is the second biggest value? (a) 0.3 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 14. Solve 1\/2 + 5\/4*r**4 - 7\/4*r**2 - 3\/4*r + 3\/4*r**g = 0 for r.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13*o = 1062. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3226*r + 3214*r + 72 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/1057471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 5 = 3*w. Let t(l) = -l**2 - l + 1. Let q(u) = -u**2 - u + 2. Let b(k) = w*t(k) + q(k). Factor b(n).\nAnswer: n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 11\/3, -0.2.\nAnswer: -0.8, -0.2, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 2*u - 13. What are the prime factors of y(8)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*b*l**3*v + 404*b*l**2*v - 2*b*l*z**2 - b*v*z**2 - 14299*l**3*v*z**2 + 1298*l**2*v - 2*z**2 wrt l.\nAnswer: -480*b*v - 85794*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*q - q**2 - 2*q**2 + 5*q**2.\nAnswer: 2*q**2 + 171*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6424 less than 5719?\nAnswer: 5719.6424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 539*b*m*y**3 + m*y**3 + 7*m wrt b?\nAnswer: 539*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 5. Suppose -11*c + 14 = 42 + 16. What is the closest to c in 0.3, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*c. Let b = c - -1. Factor -b - 3 - 2*n**3 + 4 + 2*n - n**4 - n**4 + 6*n**2.\nAnswer: -2*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*v - 2*q - 3*q, -v - 4*q - 12 = 0. Suppose p + 2 = u, -4*u + p = v - 6. Solve 3*h - 4*h + 5 = u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.046 + -18.624. Let g = 128 + l. What is g rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 18060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2674 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2*1428936\/88 + ((-72)\/44)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 15. Determine s(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uor when three letters picked without replacement from brvbsosvssuusour.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1, -0.5, -0.722, -9.\nAnswer: -9, -1, -0.722, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.5684 + -0.28711\nAnswer: -1.85551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 191038 + 7*a**2 - 191038.\nAnswer: 8*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - t**3 - t**2 + 0 + 3*t + 2 as s + n*t**2 + u*t + p*t**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 79. Let j = v + 89. Which is the nearest to 2? (a) -0.3 (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = o + 12*o. Sort 2\/3, -28, o.\nAnswer: -28, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 = -8*u + 394 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109\/436*4\/(-3)*78\/(-2) + -107?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 31. Which is the nearest to -1? (a) 3\/7 (b) 4\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bccb when four letters picked without replacement from ccyyycccb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 5, 0.09, -3, -0.3, 7\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 12*g. Suppose c - 5*b - 23 = g, 5*c - b + 13 = 32. Suppose 0*n = c*n - 12. Let x(h) = h**2 - 2*h - 5. Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8 and -63\/821378.\nAnswer: 3285512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.66751 rounded to 2 decimal places?\nAnswer: -3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.8. Let l = 4 - 3.6. Which is the nearest to 1? (a) j (b) l (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 13*x**4\/3 - 25*x**3\/2 - 43*x + 2. What is the second derivative of v(f) wrt f?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6*z = 354. Suppose -174*k - 15 = -z*k. Solve -k*j = -9 + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009251 rounded to 5 dps?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9728*m**2 + 3736*m**2 + 4490*m**2 in the form s + p*m + x*m**2 and give x.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3605, 3618, 3631, 3644, 3657?\nAnswer: 3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*c + 725 = 5*c, 4*c = -3*z - 505. Let v be 14\/(-8)*75\/z. Determine w so that 3\/2*w**4 + 0 + v*w**3 + 0*w**2 + 0*w + 3\/4*w**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1747*o**2 + 496*o - 2.\nAnswer: 3494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5460993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -1\/9 (c) -1 (d) 428 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c (base 15) to base 12.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69088 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 334 + -208. Let q = -110 + b. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 + f. Suppose 0 = x + 5*x - 6. Let h be y(x). Suppose 0 = -h*i + 8*i + 212. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1525891665 divided by 5.\nAnswer: 305178333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 125279*b**4 + 125179*b**4 - b**3 - 250591*b**4 + (b**3 + 0*b**3 + b**3)*(1 - 1 - 3*b) as p*b + j*b**4 + c + h*b**3 + g*b**2 and give j.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 9*d - 58. What are the prime factors of k(-13)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2752, 6293, 9834?\nAnswer: 13375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/4897923 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - -782. What are the prime factors of o?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -571, -631, -871, -1381, -2251, -3571, -5431, -7921?\n\"Answer: -15*r**3 + 45*r - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717463 to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 - 1 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d + 33*d + 123 = 0. What is the greatest common factor of 205 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1348935\/19609800 + (-1)\/(-161)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3156071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, y: 8, i: 1, d: 2}. What is prob of sequence iyqy?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2737700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38 + 29)*60252\/(-27).\nAnswer: 2, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0959? (a) -6 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**32*(q**(-1)*q)**(-23))\/((((q\/q**3)\/q)\/(q*q**(-3\/7)*q))\/(q\/q**(-1))**45) assuming q is positive.\nAnswer: q**(774\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 131, 190?\n\"Answer: 59*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 12*s - 11*s - 2 = 0, -28*s = -132*s + 832 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4, -4*a + 3*a - 16 = -4*g. Suppose 0 = p + g - 6. Suppose -2*q + 5 + p = 0. Put q, -3, 4 in descending order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2315 (base 6) to base 10.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1800*x - 708*x - 551*x - 592*x. Let i(m) = -m**2 - m + m. What is i(o(v))?\nAnswer: -2601*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 4)*(23*z - 18*z + 56*z).\nAnswer: -366*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = -48*m - 56 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6*k - k = 26, k = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/11 (b) -52 (c) -2\/13 (d) 1\/6 (e) 2\/3 (f) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1076\/533715 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1314*u**4 - 3267*u**3 - 5708847*u?\nAnswer: 15768*u**2 - 19602*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -4*j. Let y(t) = 3*t - 30. Let d(h) = -2*h + 17. Let g(a) = 9*d(a) + 5*y(a). Give g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/5238144 and -23\/648?\nAnswer: 47143296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 29*v - 17. Let i = 112 - 84. Let u be x(i). Which is the nearest to 2\/3? (a) u (b) -2\/17 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -5*c + 0*c**3 + 0 + 0*c**2 + 0*c**4 - 1\/4*c**5. Determine d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 8. Suppose 0 = 2*y, 4*t - 136200 = 3*y - 2*y. Let n(m) = -3*m - t - 2*m**2 + 3*m + 34050. Give f(n(i)).\nAnswer: -12*i**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124778883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let q(c) = 11*c**2 + 5*c. Let w(j) = q(j) - 5*u(j). Let i(h) = -2*h. Determine i(w(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 + 7*v + 6. Let z(d) = 5*d**2 - 8*d - 5. Let o(w) = -4*j(w) - 3*z(w). What are the prime factors of o(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 - 19*m + 6. Let u be n(4). Solve 3*c - j - 3 + 17 = 0, 0 = -5*j + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135997 is divided by 240?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/63 and 24\/7063?\nAnswer: 63567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 3*k**2 - k - 7. Let u be v(0). What is the second biggest value in 0.02, 1, u?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v + 4*f = 28, -4*f = v - 13. Suppose -v*b + 729 = -596. Let k = b + 124. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2406, 19237, 64926, 153903, 300598, 519441, 824862?\nAnswer: 1231291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 214a - 102?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3683813512 and -65\/14.\nAnswer: 25786694584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 21 + 4*p - 20*p - 4144*p**2 + 4143*p**2. Calculate g(-13).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away -1467958673.2764?\nAnswer: 1467958673.1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/3 - 16*l**3\/3 - 2*l**2\/3 + 16*l\/3.\nAnswer: 2*l*(l - 8)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556738 divided by 36?\nAnswer: 278369\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081692767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h - 17*h - 2*h**2 - 4*h**2 to a*h + m + k*h**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1\/15, -81375 in decreasing order.\nAnswer: 4, 2, -1\/15, -81375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26693\/8 + -3342. Let k = 21\/4 + y. Let f = 14 + -59\/4. Which is the third biggest value? (a) f (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 7*a**3\/6 + 2*a. Let x be v(-1). Let j = -4 - x. Solve 0 = -0*u - 2*u + 8, j*o + 4*u = 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140904063.37 rounded to the nearest 1000?\nAnswer: -140904000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/921329 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*8\/((-64)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**2 + 7*m + 6. Suppose 2*r - 2*w - 28 = 2*w, -5*w + 4 = 4*r. Let g(z) = -3*z**2 + 2*z**2 + r*z - 7*z**2 + 5. Give -6*f(q) + 7*g(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 768, -0.4, 5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhll. Give prob of sequence hld.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2311 - -206428?\nAnswer: 208740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 1\/12*p**4 - 1\/15*p**5 - 23*p + 0 + 1\/3*p**2 + 1\/2*p**3. Factor z(o).\nAnswer: -(o - 2)*(o + 1)*(4*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90944325 to the power of 1\/2, to the nearest integer?\nAnswer: 9536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m. Let v be 2\/8 - (-1)\/(-4). Suppose -x - 2*o + 2 = m, 5*o = -v*o - 10. What is the remainder when 10 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 34*c**2 + 29*c - 14. List the prime factors of g(15).\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*14\/315*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0)*(-5)\/(-6)*3. Suppose 0 = -h*b - 15, -4*m + 5*b + 274 = -269. Let l be (-2)\/5 + m\/55. Solve a = -l*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 - 6*o + 3. Let j(x) = 2*x + 2. Let v be j(1). What is a(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.2 (b) 747\/131 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2351 - 2*h + 2351. Let q(o) = 517*o - 2. What is u(q(r))?\nAnswer: -1034*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + p + p - 5 - 1 = -4*p, -4*p - 15 = -9*o + 39 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*w - 4*t, -2*w + 1179*t - 1184*t + 6 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -9, -4, -1, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0521 or -4851?\nAnswer: -0.0521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = -9. Let u(s) be the second derivative of -s**6\/720 - s**5\/120 + 70*s**4\/3 + 278*s. Let f(i) be the third derivative of u(i). Determine f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Suppose 2*n + 6 - 22 = t. Differentiate -m - 4*m + n*m - 2 - 4*m with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-263 - -255) + 5 + 3 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2095 - 1338 + 1730)*(6*g**5 - 2*g**5 - 2*g**5).\nAnswer: 4974*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28767\/2348 - -1\/587. Let m be 2 + 0 + (-45250)\/(-14). Let v = m + -3241. Calculate the common denominator of v and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 4*o - 6*o**2)*(3 - o - 3*o + 6*o) - 635*o**3 + 109*o**3 - 42*o**3 as b + l*o**3 + h*o**2 + x*o and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4))\/((z\/z**(-4\/3))\/z)*z**(-3)*z*z**(1\/3)\/z*z assuming z is positive.\nAnswer: z**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17756 + -16621. What is the highest common factor of 6583 and y?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*-0.0427.\nAnswer: -2.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11*a*a)\/(a\/((a*a*a*a*(a\/((a*a*a**6)\/a)*a*a)\/a)\/a*a))*a**(-32)*a*a**6 assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - j - 1 + (-4 + 4 + 2*j)*(-3 - 3 + 5) - 21*j - j - 20*j to the form v*j + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7238*k - 7293. What is l(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 + 685 - (1 - 1 - -2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 578*v**2 - 1623*v + 3101. Differentiate j(s) wrt s.\nAnswer: 1156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232081093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -262, -12.9, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 152058, 152074, 152090, 152106, 152122, 152138?\n\"Answer: 16*w + 152042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from {z: 3, b: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1277.8?\nAnswer: -1277.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 1061*l**5\/60 + 15*l**4\/4 + l**3\/6 + l**2 - 358. What is the second derivative of a(m) wrt m?\nAnswer: 2122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24814*y**3 + 26543*y**2 + 2*y wrt y.\nAnswer: 148884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1792.\nAnswer: 358.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4443 * -0.4.\nAnswer: 0.57772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 27 + 35 - 90*a**3 - 10.\nAnswer: -90*a**3 + 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12567 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 4*o + 4*o)*(2193*o**2 + 47840 - 47840).\nAnswer: -4386*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67154 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 2*x**2 - 5*x + x - 3*x. Let n be 56\/9 - (-16)\/(-72). Let k(f) = -4*f**2 + 8*f + 1. Let a(o) = n*k(o) + 11*d(o). Find r, given that a(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8333 + 4872.\nAnswer: 4879.8333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -204 - -87 - (-24 - 0\/2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13433452020 - 5?\nAnswer: 13433452011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54934, -109865, -164796, -219727?\n\"Answer: -54931*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/15 and -73\/782?\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39546 = 4223*m + 74475 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151\/6 + -76\/3. Let v = 0.31 - 0.3. Put -2\/13, v, b, 1\/11 in decreasing order.\nAnswer: 1\/11, v, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-2 + 5 + -17). Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1.4137\nAnswer: 4.2411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4297, -8571, -12845, -17119?\nAnswer: -21393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/5)*y**(1\/2))\/((y*y\/(y\/(y*y*y**(-2\/7)*y)))\/(y**(1\/3)*y)))**(-12\/11) assuming y is positive.\nAnswer: y**(706\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.95 + 4.94. Is -18 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69351951173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 10*s**2 - 2*s + 1. Let y be x(-10). Let i = y - 19. Suppose 3*a = -w + 28, 4*w + w - i*a = 89. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -0.082, -1\/6, -0.01, 0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54649069 and 6879?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-152)\/(-114)*(-3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -38, -88, -168, -284, -442, -648?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.73 - -0.27. Let z = 3213 + -3217. Which is the third biggest value? (a) y (b) z (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + u**2)*(4*u**2 + 26*u**2 - 4*u**2).\nAnswer: -52*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*k*o**2*v*x - 8*k*o**2*x - 20*k*o*v + 2*k*v*x - 10*k - 53*x wrt v.\nAnswer: -46*k*o**2*x - 20*k*o + 2*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 + 44 + 251 = 47*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 6:32 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v**3 - 9*v**2 + 3*v**2 + 3*v**2 - 3*v**3 - 3*v. Let n(q) = 12*q**3 + 11*q**2 + 11*q. Give -22*l(b) - 6*n(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, -9, 0.3 in decreasing order.\nAnswer: 0.3, -0.36, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3105 = 185*r + 689 - 1654 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 2377262 + 2377262 - 12*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.267128 seconds in microseconds?\nAnswer: 9267128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 2023.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33000 by -1665.\nAnswer: 2200\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**3 - h**3 + 2*h**3 + 3*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 538381*x - 538376*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (6 + (1 + -14 - -7))) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571828 is divided by 40839.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 17*y**2 + 18*y + 3. Let s(q) = 5*q + 32. Let r be s(-10). Calculate the smallest common multiple of 40 and b(r).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69.3 + -71. Let r = -2.6 - f. Let z = r + -4.1. Which is the closest to 0.1? (a) 0.1 (b) -1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 29496313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4910*a**5*v**3 + 122*a**5 + 5*a**2*v - 66*a**2 + 183*v**3 wrt a.\nAnswer: 294600*a**2*v**3 + 7320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*f + z, f - 3*z = 32 + 1. Let i = 28 - f. Suppose 300 = 5*b + c + 4*c, -2*c = -2*b + 120. Calculate the greatest common divisor of b and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 17. Let v(b) = 1. Give -4*v(w) - z(w).\nAnswer: 5*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 1. Let s(q) = -5*q**2 - 8*q - 5. Let m be -1*((-6)\/(-12))\/(1\/(-2)). Let u(l) = m*s(l) - 6*t(l). What are the prime factors of u(11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppddkk. What is prob of sequence pkp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 137464597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:46 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkikktkti. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and -22 - -48 - (-12)\/2.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/7 - 52970*f**3\/7 + 351705504*f**2\/7 - 12940689024*f\/7 = 0. What is f?\nAnswer: 0, 37, 13224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 4, 413?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 709688 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 6*(-3)\/(-2). Let a = 15 - o. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*g = c + 9, 4*c + 4*g - 12 = 0. Let z = c + -4. Suppose -5*m - z = -5*y - 9, -2*y + 2 = -m. Solve -2 = -y*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - n**2 - n**3 + (1 + 2*n**2 - 1)*(2*n - 3*n + 0*n) + (-14*n + 6*n - 29*n)*(0*n**2 + 2*n**2 + n**2).\nAnswer: -114*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56127*p**2 - 685*p wrt p.\nAnswer: -112254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21642 + 12699 + 28504 = 985*w - 74999 for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188621 divided by 132069.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 15 (b) -1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14 = -4*f, 3*a - 3*f - f - 22 = 0. Find the first derivative of 2 + a*u + 2 + 0 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 2*h)*(-3 + 0 + 1)*(0 + 1 + 1)*(1 + 8 - 1 + (-2 + 2 - 1)*(1 - 4 + 2)).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 (base 4) in base 14?\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let b(i) = 2 - 5*i**j - i**3 + 3*i - 2 + 4 + 2*i**3. Let h be b(4). Solve h = -5*y - 2*l - 4, -2*y - 10 = -3*y + 5*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4405888535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6510, 13020, 19530?\nAnswer: 26040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230863411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5752, -86, -5910, -11714, -17492?\nAnswer: -23238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 62. Let g be o(0). Let r = g - -10. 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: Simplify ((v*v**(-1))**(-1\/53))**9 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(120)\/sqrt(10)*4 + sqrt(12)) - (sqrt(12) + sqrt(12) + (-1 + sqrt(12))**2*-2 + 0)))*-6.\nAnswer: -126 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 708\/5 + -141. Which is the closest to 1? (a) v (b) 1\/6 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 10. Let f be x(4). Let c(p) = -6*p + 18. Let z be c(f). Let q be 6*(z\/(-4))\/9. Solve 0 = 2*y + w + 6, 6 + 6 = q*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -62. Let l = -10 + g. What is the fourth biggest value in 2\/7, -4, l, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 + 5*x**2)*(-86*x - 859 + 859 + (-1 - 2 + 1)*(-x + 3*x - 3*x) + 4*x + 2*x - 5*x + 6*x - 3*x - x).\nAnswer: -486*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06143153 rounded to four decimal places?\nAnswer: -0.0614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b**5\/5 + 383*b**4\/5 - 6834*b**3\/5 + 39232*b**2\/5 + 11776*b\/5 = 0. Calculate b.\nAnswer: -2\/7, 0, 16, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 20 = 2*k. Let g(v) be the first derivative of -1\/5*v**5 - v - 3 + 0*v**k + 0*v**2 + 0*v**3. What is the derivative of g(j) wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -46 + 1. Let n(h) be the third derivative of -h**5\/60 - 7*h**4\/24 + h**3\/3 - 2*h**2. What is the least common multiple of c and n(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (3 - 9)) + (-21 - (136 + (22 - 29))).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-4 + 1 + 2*v - 5)*(1 + 3 + 2)*(-5*v**4 - 4*v**4 + 34*v**4).\nAnswer: -600*v**5 + 2400*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + -9 + 77 + -1 + 18 - -15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143382 equal to 430147\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16407 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3657\/560 + 19\/112. Let c = 198 - 193. Find the common denominator of (6 - c)*(-50)\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n + 21. Let y be o(-4). Suppose -5*r = -3*l + 18, 0*r - r = -y*l + 30. Calculate the remainder when 92 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 + -359. Let z = y + 248. Suppose 3*c = -q + z, -3*q - c = -2*q - 102. What is q rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*k - 19*k + 60. Let w be ((-2555)\/70)\/(k\/(-4)). Which is smaller: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 (base 9) to base 10\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7161570 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*y - 166 - 3075*y + 613*y + 608*y + 621*y + 616*y.\nAnswer: y - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -795 + 2028. Suppose -3*i + 0*k = k - 9, 10 = 4*i + 2*k. Suppose -q + 1540 = i*q - 5*a, 5*a = 4*q - m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47 + -7)*(-16 - 105). What is the greatest common factor of 88 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -531, -103019 in descending order.\nAnswer: -1, -531, -103019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-7\/3)*z))\/z*z*z*z*z**(-2\/7))\/(z\/(z*z**(-1\/5)*z*z))**25 assuming z is positive.\nAnswer: z**(1009\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 18. Let j be f(15). Solve 5*l = j*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 172, 483, 918?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l + 4*l - 6*l)*(2 + 2 - 7) - 3 + 3 + 2*l)*(l**4 + l**4 - 3*l**4).\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -5062?\nAnswer: 9\/2531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 - 15516*v**3 + 63740*v**2 + 6244524*v - 57747976 = 0 for v.\nAnswer: -3883, -22, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -13*w + 2. Suppose w = -2*n - 2. What are the prime factors of ((-66)\/5)\/(n\/5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (-6 + -2 - (-8 + 12))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 811130397 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - f. Let g be r(-1). Find the first derivative of 2*n**g + 2 + 2 + 1 - 1 wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 44*v = 3*d - 6, -20*d - 4*v + 68 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*t**3 + 120*t**3 + 352*t**3 + 280*t**3.\nAnswer: 1138*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 191*s + 7838. Calculate w(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6021558983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**(-29)*g)*g)))\/g)**(25\/2)\/(g\/(g**(-1\/4)*g))**(-13) assuming g is positive.\nAnswer: g**(1413\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:39 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + 17*v**2 + 8*v + 18. Let w be p(-4). Suppose 4*z = 3*z + 1. Let n be 3 - 6\/(z + -3). Solve w*o - n = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, 1868, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + -4*(sqrt(175) + sqrt(175)*1) + (5*(sqrt(175) + -1) - (sqrt(175) + 0)*1))**2.\nAnswer: 280*sqrt(7) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**7)\/r**(-4)*(r**(-5\/6)\/r)\/(r\/(r**(-4\/7)*r)))**38 assuming r is positive.\nAnswer: r**(-3515\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 4, z: 1, h: 2, i: 2}. What is prob of sequence di?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wolj when four letters picked without replacement from {l: 1, p: 2, w: 1, o: 1, j: 1, n: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/13511700 and -77\/750.\nAnswer: 67558500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.4 (b) -2 (c) 764040\/13 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 5*p + 2*p**3 + 12*p**2 - p**3 - 2*p**3 + 4. Determine x(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(((-24)\/5)\/((-42)\/105))\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 95836*x**2 + 0*x + 95055*x**2.\nAnswer: -781*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 13*o - 20 = 0. Suppose -o*c = -3100 + 280. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 3. Let i be p(0). What is the third derivative of 15*g**2 - 118*g**2 + 28*g**2 + 103*g**i wrt g?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 47. Calculate the smallest common multiple of 70 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*o + 188 = -0*k + 6*o, 31 = k - 9994637*o + 9994640*o for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1904 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13096 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 + 3*c. Let k be h(2). Suppose -k*o - 9 = 3. What is the remainder when 67 is divided by (-240)\/(-36)*(-3)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 - (21 - (-21 - -35))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/(2*(-3)\/30). Let g(k) = -3*k**2 - 24*k**2 + 0*k**c. Let r(m) = -2*m**2. Determine r(g(b)).\nAnswer: -1458*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 11*s + 3. Suppose 0 = -m - 3*m + 20. Let h(v) = 2 + 4*v - 5*v**2 + 3*v + 4*v**2. Let c be 2\/(-4) + (-15)\/2. What is c*h(p) + m*x(p)?\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + 38940\/(-780))*(-1)\/(2\/(-1378))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -327194 (base 15) to base 13.\nAnswer: -661c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2159 - -2157. What is the second smallest value in 4, 6\/95, l, 0.2?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -g - 0*a + 20, -3*g - 4*a = -35. Suppose -g*v = -0*v - 5. Let s = 34 + v. Calculate the greatest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 1461, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let y be l(4). Let h be (21\/y - 1\/4) + -3. Let r be (2\/(-30)*h)\/((-36)\/(-60)). Which is the closest to r? (a) -0.3 (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1578 and 14\/33927?\nAnswer: 67854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35489*i**3*o**2 + i**2*o**2 + 3784*i**2*o wrt i?\nAnswer: -212934*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + o - 0 - 7, f + 9 = 3*o. Let r(c) = -c**2 - 8*c + 4. Let x be r(f). Calculate the highest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*c - 24*c - 9*c)*((4 - 4 - 1)*(-2 - 1 + 1) + 1 - 3 + 1 + 4 - 6 + 1 - 4 - 2 + 3 + 0 - 3 + 1) as d + x*c and give x.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3204 (base 6) to base 15\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let c(d) = d. Let v(i) = -3*c(i) + 4*u(i). Let b(s) = 252*s - 504. Let a be b(2). What is v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = -17 - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34007.826999 + -37564.8289. Let c = x + 3557. Round c to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = -6*w. Let q(h) = -33*h**3 - w*h + 14*h**3 + 4 + 20*h**3 - 5*h**2 + 0*h**2. Give q(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 21?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*b**4 - 1270*b**3 - b**2 + 47449*b + 7?\nAnswer: -192*b**2 - 7620*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11aa5 (base 11) to base 6\nAnswer: 212025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (2519 - -3) + 46 + -48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 1921 = -10505. Let t = l - -2182. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = n - 25 + 2, b - 18 = -2*n. Let v = n + 7. Let d = 25 + -13. Calculate the lowest common multiple of v and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12615?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 484, 1892, 4236, 7516, 11732?\n\"Answer: 468*u**2 + 4*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39789 and 504816306.\nAnswer: 13263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1043.8 + -1044. Which is the smallest value? (a) -39 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 376 + -178. Let d = 197.99741 - p. What is d rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**3 + p**2 - p. Let k = -3 - -3. Suppose -5*w - 4 = -4*g - 1, k = -2*w - 5*g + 12. Does 4 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -645 by -129.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 3}. Give prob of sequence wwqw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j = j - 1077262. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 537063 (c) -4\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -391 and 0.3.\nAnswer: -117.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*c + 204 = 598 + 3280 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320 is divided by 167.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23697097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 10*o**3\/3 + 11*o**2\/2 + 7*o. Let c be s(-9). Let t = c + 250. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176 + 207. Let b(u) = -u**3 + 32*u**2 - 32*u + 46. Let i be b(s). Solve -j + 4*p - i = 0, -j = -4*j + 4*p - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**6\/20 - s**5\/30 - 5*s**4\/24 - s**3\/3 + 6*s**2 - 16. Let t(a) be the second derivative of f(a). Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2709 - n**2 + 2709.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 15) in base 3?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(50\/20020) - (-3)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3\/4 (b) -3 (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 116*d**3 - 68*d**2 + 68*d - 68. Let s(j) = 5*j**3 - 3*j**2 + 3*j - 3. Calculate 6*m(l) - 136*s(l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, -1211, -2437, -3663?\n\"Answer: -1226*k + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 75174*t - 770. Let x(m) = -9397*m + 98. Give -7*c(o) - 55*x(o).\nAnswer: -9383*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9069935, -18139790, -27209643, -36279494, -45349343, -54419190?\nAnswer: -63489035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*w - 2707 = -2676 + 7329 + 4430 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5193, -10403, -15617, -20841, -26081?\n\"Answer: -n**3 + 4*n**2 - 5215*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 87812200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -944, -958, -974, -992, -1012, -1034?\n\"Answer: -p**2 - 11*p - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:29 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 3, z: 2, b: 2, y: 2}. What is prob of picking 1 n and 1 q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 4245 (c) -0.064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -158531, -317074, -475625, -634184, -792751, -951326?\n\"Answer: -4*n**2 - 158531*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 44 + 28. Let f(n) = n + 14. Let a(s) = 1. Let o(c) = -2*a(c) + f(c). Let j be o(0). Calculate the highest common divisor of h and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-2)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 10, -0.3 in decreasing order.\nAnswer: 101, 10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(189) - sqrt(21)))\/(sqrt(252)*-1) + 5.\nAnswer: 5*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/65*9*(-299)\/414.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:57 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*g**4 - 20*g**3 - 135*g**2 + 135.\nAnswer: 5*(g - 3)*(g - 1)*(2*g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 less than 4801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1966288521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/10 + -51\/20. Sort -8, q, -4, 0.4 in descending order.\nAnswer: 0.4, q, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m + 182 = -14*m + 894 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -3313?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 22\/(-26))\/(388\/(-388)). Which is the smallest value? (a) 2\/7 (b) -165 (c) 1 (d) 0.2 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65826\/1111 smaller than -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20760, 24488, 28216, 31944, 35672?\nAnswer: 39400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + -3. Let t = 0.35 - 0.3. Let z = 0.25 + t. Is a greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12243 - -12246. Do r and -44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -2099.\nAnswer: -14693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 96*s**3 - 303*s**2 + 906*s - 504.\nAnswer: -3*(s - 1)**2*(s + 6)*(s + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3 + -4 - 6) - 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46027, -46001, -45973, -45943, -45911?\n\"Answer: h**2 + 23*h - 46051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -53. Calculate the remainder when b is divided by (-3 - (0 + -7)) + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:34 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c - 32. Let q(n) = 19 + 2*n - c + 6. Let x be q(-7). Solve -o - x*o = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x + 0*x + 13 + 1 - 9. Let a be b(-2). Are -6 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 16, 5*g + x = -x - 38. Let h be ((-2)\/4)\/((-3)\/g). Let w be 3 - (-2)\/(-1) - h. Solve 0 = 4*n - 6 - 2, -4*v - w*n = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t - 1. Let k be o(2). Let h(u) = -29*u + 52*u + 10 - 25*u. What is the tens digit of h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 249*p**2 + 2*p - 599*p**2 + 45*p**2.\nAnswer: -803*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 98. Suppose u = 6*p - 2*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -385 - -387. Suppose -52*f + 56*f = j*h - 16290, -h + 3*f = -8147. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 3*y)*((2*y - 5*y + 0*y)*(1 - 4 + 2) - y + y - 2*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-150))\/((-3)\/5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100041322 + -11?\nAnswer: 100041311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5617?\nAnswer: 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 15. Suppose u*w - 2*w = 3*s - 3, -4*s = 5*w - 40. Suppose 4*y = s*y - 877. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewss when four letters picked without replacement from {e: 2, s: 5, w: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 25*b**2 + 2. Let j be z(-25). Solve 2\/3*p - 2\/3*p**j + 0 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -o*i - 10 = -4*i. Suppose 4 = -j + i*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + i\/5.\nAnswer: -i*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s, -2*s + s = -4*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-45))\/(3\/(-30)). Find q, given that 0 + 0*q - 1\/4*q**w = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 8*l**2 + 5*l + 26. Let x be w(7). Let r = 4.9653 + 0.0347. Sort -1, -2\/5, x, r.\nAnswer: -1, -2\/5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.809 + -0.185538.\nAnswer: 1.623462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -13 + -2 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2717*w**3 - 59 + 59 + 2356*w**3.\nAnswer: 5073*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*((sqrt(108) - (sqrt(108) + sqrt(108) + 3*sqrt(108))*1) + -4 + 2)**2.\nAnswer: 384*sqrt(3) + 6924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 4*c - 3. Let v be i(-2). Let t(s) = -s + 6. Let n be t(6). Solve n = -0*r + r - v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -46. Suppose 2*z = -0*z - 40. Calculate the least common multiple of 70\/(-4)*16\/z and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -232 + 424. Let m(t) = t - 1 - 187*t**3 + 0*t**2 + 4*t**2 - 1 + p*t**3. Let j(w) = 6*w**3 + 5*w**2 + w - 3. Calculate 4*j(n) - 5*m(n).\nAnswer: -n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = -30. Suppose -3*m - 2*n - 19161 = 0, -5*n - 1107 - 30828 = 5*m. Let w = -63931\/10 - m. Calculate the common denominator of b and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 + 4*p**3 + 13*p**3 + p**3.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n + 4. List the prime factors of n\/(-4) - 2224\/(-64).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-217)\/(-28))*-108.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 47\/4 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/5 in 0.4, -3, 0.02, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04247348935 to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 9*k + 8. Let q be s(-1). Calculate the remainder when 205 is divided by (-48*(-4)\/18)\/(2\/q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-5\/8))\/(p\/(p\/((((p\/(p**(-1\/26)*p))\/p)\/p)\/p))*p))**(-25))**(-8\/5) assuming p is positive.\nAnswer: p**(1215\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-714)\/68)*-2*(1 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 5 - (-1 + sqrt(30)\/sqrt(6)) - (sqrt(60)\/(sqrt(300) - sqrt(12)) + sqrt(5))*1*6.\nAnswer: -5*sqrt(5)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let i be (-1 + -1)\/(o\/(-22)). Let t = 32 - i. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5484.446 rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486730.\nAnswer: 2, 5, 48673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*12\/(-16)*44\/66?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 3*m + 4. Let s be z(6). Suppose -5*j - 2*w + s = 0, -2*j + 3*j + 5*w - 9 = 0. Solve -6 = -j*k - 2*r, 3*r + r + 12 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-6)*(-28)\/(-364).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n. Suppose -5*p = -2*t - 14, -2*p = -3*t + 4 - 3. Suppose 0 = -7*w + t*w. Suppose 8 = -w*k - 4*k. Let y(q) = q**2 + q - 1. What is k*y(v) + m(v)?\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v. Suppose -4*f = 478 + 122. Let m = -152 - f. Calculate b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -3, -2, -96 in ascending order.\nAnswer: -96, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5044292363.\nAnswer: 11, 458572033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4766.482 millennia to decades.\nAnswer: 476648.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/45980 and -113\/50160.\nAnswer: 551760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194722351 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -c - 10, 0*v + v = -v + c - 37 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**5 - 11300*w**2 + 132566*w wrt w?\nAnswer: -80*w**3 - 22600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-162))\/(22\/(-6)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + o**3 + 0*o**3 + (-2*o**2 - 2 + 2)*(-13*o + 144*o + 54*o) to the form c*o**2 + p + i*o**3 + f*o and give i.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 - 27 = 0. Let a = 65 - i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954, 3912, 5870, 7828, 9786, 11744?\nAnswer: 13702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 25. Let y(x) = -11*x - 5. Is y(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 833046\/23 or 36220?\nAnswer: 36220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -286, -421, -556?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from bcammmbmmwaambcmbabb.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 75197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4 + 2*r**3 + 4*r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43381.73g to tonnes.\nAnswer: 0.04338173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 17. Let d be 3 - w*1071\/6. What is the highest common factor of d and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0.04, -2\/9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12392, -46221, -101474, -178151, -276252, -395777, -536726?\nAnswer: -699099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1072140 and 1041324.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 75*l**5 - 9531*l**4 + 27687*l**3 + 119871*l**2 - 149262*l + 11160 = 0.\nAnswer: -3, 2\/25, 1, 5, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 4:38 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 2252550*j + 54058320 = 0.\nAnswer: 24, 450486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (48 - 9 - 83)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 12*z - 8. What is the units digit of w(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3, -5*s - 3*v + 3062 = -1671. Calculate the highest common divisor of 172 and s.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10124266 to the power of 1\/2, to the nearest integer?\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 9*x + 7. Let t be (-69)\/(-60) + (-2)\/5. Which is the nearest to -1? (a) x (b) t (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367807062 divided by -6.\nAnswer: 61301177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 606899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -5542 + 5366 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*o + 9, 13*o - 31 = 15832*d - 31662*d + 15834*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose d + 0*d = l. Find the second derivative of -d*n**2 - n + 0*n + 0*n**2 wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1575*-3*-7\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(4)\/(-3*sqrt(32)) + (sqrt(2) + 1)*4 + sqrt(18)\/(sqrt(36) + sqrt(9)).\nAnswer: 17*sqrt(2)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/17)\/b)\/(b**(-5\/11)\/b) assuming b is positive.\nAnswer: b**(151\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/2)*c*c**(-2\/67) assuming c is positive.\nAnswer: c**(63\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001011110 (base 2) to base 13.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/((10 - 2)\/25808*-2).\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6595311 to the power of 1\/2, to the nearest integer?\nAnswer: 2568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.34378 bigger than 0.121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.852 and -2280?\nAnswer: 2280.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4904 - -4922. What is the remainder when 1474 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 3. Let y be k(5). Let p(f) = -f + 28. What is the smallest common multiple of p(10) and y\/6 - 7\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/(-46))\/(2\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/7)*k)\/k*k**5*k)\/(k*((k\/k**(-1)*k*k)\/k*k)\/k)**1 assuming k is positive.\nAnswer: k**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229401\/42003 - (18\/4 - -1).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*c - 1371 = 2524 + 6143 - 492 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 3. Let s(n) = -4*n - 1. Let m(d) = -d. Give t*s(x) + 7*m(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 2. Let l be g(-7). Let z be 61\/l + 2\/(-10). What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115201013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onynnowngynoonnny. Give prob of picking 1 o and 1 n.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from yydifayidfddinfiyiay?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/30)*r)\/r**(-17) assuming r is positive.\nAnswer: r**(539\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4709167462?\nAnswer: 2, 1237, 1903463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2822 and 11122.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*s**2 - 112*s - 1698\/5 = 0. Calculate s.\nAnswer: -3, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1041 + 473. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (648*s - 188*s + 296*s + 0*s)*(3*s + 0*s - 2*s)*(3 - 1 + 0)*(21 - 21 - 5*s).\nAnswer: -7560*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6467)\/435 + (-6)\/45)\/(102\/(-6))?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x**2 - 144*x + 146*x - 38*x**2.\nAnswer: 9*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/10433 > -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b**2 - 10*b + 85. What are the prime factors of a(6)?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -59, -91, -145, -227, -343, -499?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 12:10 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - b - 1, 5*b - 3*b + 11328 = 4*k + 11358 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 10, 0 = 2*z - 0*j - j - 8561. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4110a13b - -4?\nAnswer: -4110a137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*1*sqrt(162))\/(1*(sqrt(6) - sqrt(24)\/sqrt(64))).\nAnswer: -20*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 6 + 2 + 2537*t - 1923*t to the form g*t + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 239 (c) -937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/135 (b) -8 (c) 7\/156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*o + 14 = 0, -379*o = -2*v - 375*o + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/5 - 13*z**4\/5 + 48*z**3\/5 - 68*z**2\/5 + 32*z\/5 = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*l + 8 = 0, -l - 2 = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3 + 1. Let n be (-3)\/(-2)*30\/9. Solve 3*i = -14 - o, q + n*i = -21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 14 = z + 3, 2*t = -z - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3 - 8) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5 - (2826\/(-15) + 1). Let g = a - -107. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 27*d - 140. Let b be g(20). Suppose b = -r - 4*w + 542, -r - 4*w = -4*r + 1546. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88))\/sqrt(8) + sqrt(11) + -2.\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 - -20 - (-3 - 17 - -3).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1533 + 631 + 902 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -274d7?\nAnswer: -274d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 6. Let d be l(-3). Solve d = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.149215 + 1.3\nAnswer: 1.150785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 1 + 1)*(-1 - p + 1) + 343 - 343 - 5*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6989 - 5?\nAnswer: -6992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 26*s - 15 - 1 - 1. Let g(f) be the second derivative of -3*f**3\/2 + 3*f**2 - 10356*f. Give 17*g(l) + 6*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 8*r + 3. Let a be d(8). Solve -3*i + 14 = -a*l + i, 3*i = 3*l + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360763.\nAnswer: 13, 27751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 6 - -5 - 10. Let t(b) = -8*b**3 + 3*b**2 - 9. Let f(o) = 4*o**3 - 2*o**2 + 5. What is z*t(s) - 5*f(s)?\nAnswer: 4*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/2)*g)\/(g*g\/(g\/(g*g**(2\/95)))*g)*g*g**(-28)*g*(g*g\/(g**19\/g))\/g assuming g is positive.\nAnswer: g**(-8459\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/7 (b) 0.5 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 2, -1, -1.1, -34, 3\/5 in decreasing order.\nAnswer: 2, 3\/5, -3\/8, -1, -1.1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.8. Let s = -3 - -7.5. Let l = s + -4.2. What is the second biggest value in a, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -53*m. Let u(v) = 159*v. Let t(n) = 11*l(n) + 4*u(n). Let r(q) be the second derivative of -q**4\/12 + 61*q + 2. Determine t(r(g)).\nAnswer: -53*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 5. Solve -5*q + 0*q = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34879*t**6 - 2*t**5 + 2*t**4 + 426*t**2.\nAnswer: 4185480*t**3 - 120*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -118? (a) -0.12 (b) -2 (c) 0.5 (d) 1 (e) -2\/195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546932238?\nAnswer: 2, 17, 71, 773, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = w. Let t(q) = -q**3 - 2*q**2 + q - 3. What is the units digit of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159582 is divided by 193259.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 308*b + 2980 = 0.\nAnswer: 10, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 36*q - 38*q - 14*d + 11*d, -3*q - 4*d = -4*q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6595*v**2 - 342 + 88 + 254)*(-2*v - v - v) to the form k*v + u*v**3 + o + m*v**2 and give u.\nAnswer: -26380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*k**2 + 3*b**3*k + 40186*b**3 - 68*b*k**2 + b + 6*k**2 - 8*k wrt b.\nAnswer: -18*b*k**2 + 18*b*k + 241116*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -2*w + 5*o, 0 = w - 0*w - 5*o - 103. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/51*17)\/(1\/(-26)*-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3)\/((56\/152)\/7). Let w(c) = c**3 - 20*c**2 + 20*c - 28. Give w(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/7 + 13015707*i**2\/7 - 2016770319096*i + 14117379217968\/7.\nAnswer: -3*(i - 2169284)**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-3) - 10\/15. Let r be (153\/34 - 7)*(-12)\/10. Let s(p) = -p**2 + 1. Let d be s(1). Solve d = r*v + v - k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56364 and 3006?\nAnswer: 28238364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 84 - -1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6*a = -11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + 12 - (300 + -124)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -61 + 8 - (1 - (5 - 0)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331 + 2332302221?\nAnswer: 2332303212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g - 12, 2*r = -2*g + 892630. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-6)\/54*-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-6))\/((-405)\/162)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(1*sqrt(11)*-4)*-6.\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and -0.05.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -271.4 - -271. Which is the closest to 1? (a) -0.8 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 1 - 1. Suppose v = 4*x - 11 - 9. Let b(c) = -c**2 + 6*c - 3. Let p be b(5). Solve 3*u + u = -5*y - 10, 0 = p*y + x*u + 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, -7 in increasing order.\nAnswer: -7, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4218 and 4503?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {n: 2, b: 2, v: 2, q: 1, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 7. Differentiate -9*a + 4 + 2*a + n*a with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b774 (base 15) in base 12?\nAnswer: -194a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 21260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1811.\nAnswer: -3\/1811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*l + 7*l = 6113, 5*d - 10180 = -5*l. Suppose -24*c + d = -21*c + 3*j, 0 = -2*c - 5*j + 1360. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/608 and 101\/12084?\nAnswer: 96672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 9*d - 7*d - 6, -3*r = -5*d + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 38. Let y be (-308)\/6*2160\/(-1260). Calculate the greatest common divisor of y and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-15) - 5383\/(-2307).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*p**2 + 1462*p**2 + 1466*p**2 + 1470*p**2 - 8802*p**2 + 1469*p**2 + 1463*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 + 265. Let h = v + 170. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111010011000100 (base 2) to base 14.\nAnswer: 34a0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*h = 4*h + 35, -2*h - 45 = -5*o. Let r = o - 9. Suppose r*t - 6 = -t. Is t smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -173, 1331, 2857, 4417, 6023, 7687, 9421, 11237?\n\"Answer: 2*p**3 - p**2 + 1493*p - 1667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7291\/14582)\/((-1)\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 4. Let f be 0 - (0 + p - -1). What is the smallest common multiple of 5 and (20\/5 + f)*1*4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.79 - 1.39. What is the nearest to -0.1 in l, -3, -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 7. Suppose 0*a - 3*a = -15. Let x(w) be the second derivative of -w**3\/2 + 5*w**2 - 95*w. Let j(d) = a*x(d) + 7*r(d). What is j(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/5 - 2*o**4 + 211*o**3\/5 + 2392*o**2\/5 + 2028*o\/5 - 3024 = 0.\nAnswer: -14, -9, -4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = -6*v + 275 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -442390 rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33420023 (base 5) to base 4\nAnswer: -1020001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 488338 a multiple of 388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 9*q**2 + 3*q - 25. Let s be y(9). What is the highest common factor of 128 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**2 + 134*s + 161. Calculate u(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 5*a - 2. Let m be (0 - (-48)\/22) + 2\/(-11). Suppose -s + n - 7 = 0, -11 = m*s - 3*n + 4. Calculate h(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 6860. Let q(m) = m. Determine o(q(n)).\nAnswer: n + 6860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905440639.\nAnswer: 3, 101, 9588913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1946939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 28*q**2 + 28*q - 3. Suppose -7*f + 1151 - 962 = 0. What is the least common multiple of 12 and b(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -3603?\nAnswer: -3614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x + 4 = -57*x. Let n be (156 - 0) + (-2 - -1)\/x. Suppose 2*m - n = -5*q, -32 = -2*q + q - m. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - 18*f**2 - 6*f - 1. Let q(l) = 3*l**3 + 13*l**2 + 4*l + 1. Let g(b) = 5*m(b) + 7*q(b). Determine g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 5. Let k(x) = -x - 2. Suppose -3*o = 4*n + n + 20, 0 = -2*o - 4*n - 10. Calculate o*k(u) + 6*s(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -y - 9, 28 = 3*y + 5*o. What is the units digit of (5 - y) + (2 - 5)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6189 or -6175?\nAnswer: -6189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27575 - 8*k**3 + 27575.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -12.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 2*u**2 + 6*u**2 - 2*u**2 - 3*u**2 + 6*u**2 + (2*u + 2*u - 3*u)*(4*u - 4*u + 3*u) + 0*u**2 + 2*u**2 - 3*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Suppose -4*l + 16 = -3*r + 4*r, -3*r - 2*l + 8 = 0. Let c(u) be the third derivative of 0 - 1\/12*u**4 + r*u + 0*u**3 - 4*u**2. What is c(q(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*h - 100, -99 = -23*z + 19*z + 3*h. Calculate the highest common factor of z and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77449 greater than or equal to 15261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/12 - 17*r. Factor w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78080060621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -119, -239, -359, -479, -599?\n\"Answer: -120*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*p + 280*p + 248*p + 81*p)*(0*p**2 - 3*p**2 + 2*p**2) + (-2 - 6 + 0)*(5*p**3 - 4*p**3 - 4*p**3) in the form m*p**2 + c*p + h + j*p**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5280 = 4*h - 5*u, 3*u + 5280 = 4*h + 8*u. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6860 - 61675\/9. Find the common denominator of 44\/73 and b.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*d = -20, 6*d - 144 + 57 = -5*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*d + 5*d. Suppose 0 = d*k + k - 52. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 58, 3 in increasing order.\nAnswer: -4, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + (-45)\/140. Put 0.1, 14, p in decreasing order.\nAnswer: 14, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + -11 + (252 - 236) + -2 - -82.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -5, 2, -67, -18 in decreasing order.\nAnswer: 2, 1, -5, -10, -18, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62914517 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547b (base 12) in base 4?\nAnswer: 30121133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 4*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16381872 divided by 341289.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54939714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 5. Suppose 11 = 5*p + z. Suppose -4*d + 2*w = -3*d - 1, 0 = d - 5*w - 7. Which is the second biggest value? (a) -2 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21855 + -21853. Solve 26*l - 4 = 21*l - 2*r, z = 2*l + r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -105*m**4\/4 - 19*m**3\/3 - m**2 + 125. Find the third derivative of t(j) wrt j.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411 (base 5) in base 9?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(-i + i + 4*i) + (i - 4 + 4)*(-5 + 3 + 3) to the form q + z*i and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 + 1402 = 54*f. What is the highest common factor of 28 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 7}. What is prob of sequence hr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23798\/45 + 2537\/5. Let t be (-1430)\/(-66) - -1*2\/(-3). Let b = t + o. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1533*n**2*p**2 + 2461*n**2*p + n**2 - 1235*n*p**2 + p**2 - 2*p - 18 wrt p.\nAnswer: 3066*n**2 - 2470*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 454*g + 455. Let k(j) = 3*j**2 - 1358*j - 1365. Let y(s) = 2*k(s) + 7*u(s). What is the derivative of y(c) wrt c?\nAnswer: -2*c + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*j + j - 153 = 0, 4*c = 3*j + 135. Suppose -i + c = i. Does 12 divide (i + 0)*(-4)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(576\/(-236)) + 4 + 2. What is the fourth smallest value in -17, 0.4, -1\/3, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*g + 5*g - 1006, -j - 5*g = -507. Let m = j + -351. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 287*b**2 - 9*b - 5. Is n(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10403007.\nAnswer: 3, 3467669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253744734.\nAnswer: 2, 3, 19, 31, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 6}. Give prob of picking 4 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**3 - 7*a**2 + 3*a + 7. Let k(u) = -735 + 5*u**2 + 9*u**3 + 730 - 3*u**3 + u**3 - 2*u. What is -5*h(s) - 7*k(s)?\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4756, 4737, 4692, 4609, 4476, 4281?\nAnswer: 4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, k: 2, b: 1, u: 1, h: 1}. What is prob of sequence hkb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -14. Let k be (4\/u)\/(3\/(-165)). Let j = 31 + k. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**33*(g**(1\/3))**(2\/9)*(g*g*g\/g**(-2\/11))\/g**6*(g*(g*g*g*g\/g**(-1\/2)*g)\/g*g)\/g**(-5) assuming g is positive.\nAnswer: g**(75611\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 4, v: 2, h: 1, a: 2, n: 2}. What is prob of picking 2 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(19)*1*-1.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + 8.8. Let p = -2624\/33 + 2635\/33. What is the third biggest value in 5, p, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4221 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**2 - 12*o**2 - 9*o**2 - 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111655670 - 46321670. Round h to the nearest 1000000.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.7 (c) -18 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*n + 23 = 0, -n = 4*h - 9*h - 21. Let o be 29\/9 + h\/18. What is the second derivative of 6*g**4 - o*g + g + g + 2*g wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 28. Let q(x) = x + 1. Let k(z) = -20*z**4 + 5*z - 9. Let v(b) = g*q(b) + k(b). Differentiate v(d) wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7192 * 16062.\nAnswer: -115517904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(9\/2))**(2\/3))**(-49))**(18\/13) assuming f is positive.\nAnswer: f**(-2646\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 2*k**2 + k**2 + (-1 + k**2 + 1)*(0 + 1 + 1))*(1302 - 1302 + 61*k**3).\nAnswer: 488*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -59*x - 346. Calculate the least common multiple of 280 and q(-6).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 5*g + 5. Suppose 60 = 3*i - 0*i. Let o = i - 15. Calculate the lowest common multiple of s(-4) and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178093444 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*((l**(2\/7)*l)\/l)\/l*l*l*l**(-2\/27))\/(l**(2\/55))**(32\/3) assuming l is positive.\nAnswer: l**(29353\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 103 + 32. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 26*u = -21*u, n - 4*u - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxtlxljtlltjlj. What is prob of picking 1 j and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 5*f + 10, 2*d - f + 16 = 0. Is 14\/(4\/d*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 + 4*v - 2. Let c be m(-5). Let d(o) = -30*o + o**c + 7*o**2 - 3*o**2 + 25*o - 5. Suppose 7*s - 6*s + 4 = 0. Calculate d(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*u - 144 wrt u.\nAnswer: 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let d(p) = -8*p + 16. Let r be d(-8). Suppose 78 - r = -q. Calculate the lowest common multiple of a and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 5*u**2 + u + 7. Let x be y(5). Let z(d) = d**2 + d + 12. Let t be z(0). What is the highest common factor of x and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1718501 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - f + 0)*(4 - 4 + f) + 0 - 2*f**2 + 0 - f**2 - 2*f**2 + f**2 - 39288 + 39288 - 17252*f**2 to l*f + j + w*f**2 and give w.\nAnswer: -17257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 517*p + 8346. What is q(-16)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/16)*((a*a**25)\/a*a)\/a*a*a**(8\/15)*a**(-22) assuming a is positive.\nAnswer: a**(1073\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**14)\/r*r*r\/(r*r*r**(2\/7)*r))\/((r\/(r**(3\/4)\/r))\/r**9) assuming r is positive.\nAnswer: r**(573\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 334 = 4*i - 7*i, -2*i + 220 = 2*f. Let o = i + -67. Let r = o + -26. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**6\/40 - j**4\/4 + 4*j**3\/3 + 2*j. Let q(h) be the second derivative of l(h). What is the first derivative of q(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 394 and 1.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170456 - -192?\nAnswer: 170648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*((-19 - -27) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1866.1 to the nearest ten.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728 divided by -91.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*v**3 + 42*c**3*v**2 - c**3*v - 4*c**2 - 11261*c*v**5 + 6*v**2 wrt v?\nAnswer: -12*c**3 - 675660*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1068 and 211890?\nAnswer: 37716420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -114*y + 818. Calculate the least common multiple of ((-15)\/(-6) + 0)*(0 - -236) and k(7).\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19168276165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*f - 1236, -328*f = 3*v - 330*f - 1902. Calculate the highest common divisor of 140 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -20. What is the units digit of (-2)\/g - (-159)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from jjjjjtjqjtjqqqqjq?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32624229?\nAnswer: 3, 11, 43, 83, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - 345\/(-20)) + -7. Let n = 0.11 + 4.89. Which is the fourth smallest value? (a) 0.3 (b) q (c) 23 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, j: 2, u: 3, h: 2}. Give prob of picking 2 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 5*w - 3. Let v be j(3). Let l = 47 + -38. Solve -l = -v*z - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 50 (c) -3 (d) 4 (e) -2\/11 (f) -36\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26)\/(-39))\/(6\/1034991) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.639 - -0.239. Let n be 4 + -5 + -1 - 2. Sort n, -2\/9, 0, c in increasing order.\nAnswer: n, c, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let s be d(8). Suppose 5*f - s*f = -6. Suppose 5*q + 220 = -0*b + 5*b, f*b - 5*q = 138. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.1, 17, 3, -6?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 - -152. Suppose h + q*a = 2*h + 3, 2*h - 5*a = 0. Solve -h = -6*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -747\/5. Which is the closest to q? (a) -2\/3 (b) -1.1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 - 20*x**3 + 28*x**3 + 17*x**3.\nAnswer: 29*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + -92. What is the remainder when c is divided by ((-2)\/3)\/((-1)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -30. Suppose 5*w = -r + m, -4*r + 2*r = -5*w + 15. Suppose -3*a - 2*a + r*z = 15, 3*a = -5*z + 23. Solve s + 0*s = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 150*m**2 + 150*m + 152. What is t(74)?\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 + 5*l**3 - 3*l**2 - 9*l = 0. What is l?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 3*a + 4. Let y be i(-4). Suppose 9*z = 27 - y. What is l in -2\/5*l**2 + 0*l + l**4 - 3\/5*l**z + 0 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4643, -5397, -6655, -8417, -10683, -13453?\n\"Answer: -252*b**2 + 2*b - 4393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**7\/1260 + f**6\/180 + f**5\/60 + 5*f**4\/6 - 66*f. Let i(d) be the third derivative of c(d). Factor i(t).\nAnswer: 2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 575*g**2 + 28*g - 460*g**2 + 152. Is v(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220 (base 3) to base 9.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 104. Let u = -30 + s. Solve -1 = -u*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 894 and 2919174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37221972286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5049 is divided by 1259.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + 2. Let r = k - -0.4. Let c be (-2)\/6*(-18)\/12. Put -5, r, c in decreasing order.\nAnswer: r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 5*m - 8*m - m**2 - 82.\nAnswer: -m**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -105711.\nAnswer: 47\/105711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/14 - 4212\/(-21). Let k = q - 211. Sort k, -1, -2 in decreasing order.\nAnswer: -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -72. Calculate the least common multiple of 9 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z - 3. Let o be i(-2). Suppose -9*m = -o*m. Suppose -2*s + 24 = -5*w, -4 = 4*s + 3*w - m*w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*y**2 - 33*y**2 + 9*y**2 + (3*y - 3*y + y)*(0*y - y - y) as g + s*y**2 + j*y and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1354 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -10 + 16. Let r be 0\/x*(-5)\/(-5). Suppose r = -4*s + 199 - 23. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**3*r**(1\/8))**49 assuming r is positive.\nAnswer: r**(-735\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:38 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**4 - 80*p**3 + 145*p**2 - 100*p + 20.\nAnswer: 5*(p - 2)**2*(p - 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*20\/(-32)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1920045*y**2 + 2759605*y wrt y.\nAnswer: 3840090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.0012964?\nAnswer: -0.5012964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**8 assuming a is positive.\nAnswer: a**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.91 + 5.86. Let s = -0.15 - -0.2. Let m = s + r. Which is the closest to 0.1? (a) 5 (b) m (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.159840950511 from -74.\nAnswer: -73.840159049489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/88758 and -5\/11?\nAnswer: 976338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 411949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 20*z - 3*z + 23*z. Solve 5*s - 19 = 3*j, z = s + j + 5 - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(5\/15). Let f be (-16)\/(-66)*i\/4. Let l = -6 + 11. What is the third smallest value in 1\/2, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let a be 0\/(i - (5 - 3)). Suppose a = -2*o - 3*q - 24003, 2*o - 224 = -4*q - 24228. Round o to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550642 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 70. Put -3, f, -28 in decreasing order.\nAnswer: f, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.862942385 rounded to 3 dps?\nAnswer: 0.863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - b + 4*b - 127 = 0, 0 = 3*o + b - 89. Suppose 10*f + 144 = o*f. Let g(z) = f + 6 - 14 + 4*z. Let p(w) = 13*w. Calculate g(p(d)).\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(1\/1)\/(-3). Suppose 1 = -j*i + g, -5*g + 3 = 4*i - 2*g. Suppose o - 18 - 7 = i. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-6)\/(-39) + (-4)\/26. Solve j = -3*t - c + 2, -2*j = -2*t + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) -25 (b) 3 (c) 4 (d) -3480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27756 and 5292.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 2*d - 3*d)*(-9420*d + 9135*d + 1 - 5).\nAnswer: 285*d**2 + 574*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 - -0.0538133162704?\nAnswer: 0.4938133162704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12 - 7 + 2*m + 15. Let j = -4 - -16. Calculate the smallest common multiple of x(12) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 75*h**2 + 1. Does 10 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*z = -5*w - 134*z + 11, 0 = -3*w - z + 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42686, -141452, -306054, -536486, -832742, -1194816?\nAnswer: -1622702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - 2*q**2 - 3*q + 3. Give v(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - q**3 - q**3)*(-q + 2 - 7*q + q).\nAnswer: 14*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*s - 5, -2*s + g + 101 - 106 = 0. Is s less than or equal to -3\/425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -1\/3*k**4 + 0 + 1\/20*k**5 + 1\/3*k**3 - 161*k - k**2. Give t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20573894.9 + -40.6647.\nAnswer: -20573935.5647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/9))\/(i*i**(-1\/6)\/i*i*i)*i**(-6)*i*i\/i**(-3)*i)\/((i**1*i*i)**(6\/5)*(i**(1\/4)*i)**28) assuming i is positive.\nAnswer: i**(-3569\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*s - 1840 = -13*s - 37*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3007716 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.041?\nAnswer: 0.0123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 19*n**2 - 15*n + 49. Calculate y(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 19*o**2 - 203*o + 1422. Give j(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrzu when four letters picked without replacement from ruuurrvrduz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 4*u - 168 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 5. Let a be p(-6). Let h = -2 - a. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -y, 8*l - 5*l = -y + 6. Suppose 4*i + 3*m = 439 - 87, -l*m = -5*i + 463. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3035 + 4726. Let p = -20257\/12 + o. Find the common denominator of -149\/42 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 129 (c) 3.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y + 4. Let d be s(3). Let j = d - -30. Suppose -14 = -j*k + 18. What is the remainder when 47 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/2 + 11*s**3\/3 - 3*s**2 - 16. Let z be f(-6). Suppose 7*t - 9*t + 6 = z. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4. Let o be r(-5). Let a = 9 + o. Determine m so that -1\/4*m**4 + 0 + 1\/4*m**2 - 1\/4*m**3 + a*m + 1\/4*m**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5692876105324 from 5.\nAnswer: -5692876105319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -16*m**2 - 3*m - 1. Let y(v) = -4*v**2 - v. Calculate -c(h) + 5*y(h).\nAnswer: -4*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k + 6. What is the nearest to 2\/9 in k, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 14 - -32) + -123 + 22?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155 divided by 5?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 173466056?\nAnswer: 173466049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c - 180. Let o be a(10). Let z = -277 - o. What is the remainder when 210 is divided by z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965500 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -12. Let w be 2\/6 - 38\/6. Let o = -4 - w. Is o less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*w - 6 + 33 = 0, -w - 3 = -4*m. Suppose m*c + 8 = -4*s, 2*c - 3*s + 17 = 2*s. Let n(j) = j + 14. What is the units digit of n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 1825.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-50)\/(-252) - (-4)\/(-28) and (-33)\/(-12) + 1\/1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.18 and 7085?\nAnswer: 7084.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 22 = -2*c, -3*v - 13111 + 13087 = 5*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -16, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436, -451, -466?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -55. Suppose y = 5*z + 174, -z + 0*z + 4*y = g. Let b be ((-30)\/z)\/((-2)\/(-14)). Solve 2*s - 12 = b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/29737844?\nAnswer: 11\/29737844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - z - 2*z + (-4 - 3 + 4)*(-4*z + 0*z + 2*z))*(-2*z + 0*z - 2*z).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124037, -124090, -124143, -124196, -124249, -124302?\n\"Answer: -53*o - 123984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/40 + a**5\/30 - a**3\/6 + 260*a**2. Suppose -2*b + 2 = -20. Let j(t) = 16*t**3 - 11*t**2 + 6. Calculate b*w(x) + 2*j(x).\nAnswer: -x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z. Let h(w) = -13*w. Let d(g) = -4*h(g) - 3*p(g). Let u(l) = l**2. Determine u(d(k)).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6443, -1\/22, 3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7636094 and 16?\nAnswer: 61088752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, 415, 1542, 3715, 7282?\n\"Answer: 58*u**3 + u**2 + 20*u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 7:07 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51377?\nAnswer: 83, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 20 - (0 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13300569.\nAnswer: 3, 157, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*i**2 - 18*i**2 + 35*i**2 + (3 - 2 + 0)*(1 + 2*i**2 - 1))*(i**3 - 3*i**3 + i**3).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 725.6194?\nAnswer: 688.6194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -4*g - 11*b - 14, -2*g - b - 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*g**3 + 1 - 1 - g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 14*i - 10*i + 5*d, -3*i - 2*d + 772 = 0. Suppose 15*q - i = 175. What is the remainder when 82 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, r: 1, n: 11}. What is prob of picking 1 r and 2 n?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 11:31 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 26611533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2 - (-1540)\/(-8). Let j be 0\/((-11)\/(-13) + (-30)\/c). Solve 4*k - 7 = -j*k + x, -4*k + 17 = x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2. Suppose -10*j = -4*b - 6*j - 8, 18 = 5*b + 2*j. Let z(a) = 13*a**b - 10*a**2 + 5*a**2 + 5*a**2. What is h(z(f))?\nAnswer: 507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) + (-1163)\/(-6). Let g = 199 - r. Calculate the remainder when 13 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 72. Suppose -265 = -x*j + 9*j. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 66*k - 46. Let s be b(12). Suppose 0 = 3*h - 205 - s. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 372708832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:32 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 times 1.5?\nAnswer: 5.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157\/4 - -40. Find the common denominator of u and 59\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -621180 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-12))\/(-11)*2*3\/(-252).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-9)*45\/(-150).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.09, -2\/31, 3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -26. Let d = 16 - 13. Sort s, -4, d in descending order.\nAnswer: s, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -29. Suppose d*n + 64 = -51. Let o = n - -57. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((1 + -6*(2 + sqrt(500) + sqrt(500))*-3)*-2 + 2)**2.\nAnswer: -7791547 - 311040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.94054 and -192.261855?\nAnswer: 189.321315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Which is bigger: 2\/3077 or n?\nAnswer: 2\/3077","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.83 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -938, 0.01, 19, 5.\nAnswer: -938, 0.01, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.5220426 and 7.\nAnswer: 6.4779574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:41 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i + 12. Let u = 1.8 - -0.2. Let l = -3 - u. Put -2, l, i in descending order.\nAnswer: -2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 104\/3*i**3 - 281\/2*i**2 - 5*i + 1. Differentiate v(d) with respect to d.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - 21\/9*3. Let b be ((-528)\/9)\/(4\/n). Let y = b + -99. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -k, -t = 5*k + t + 22. Let v = k - -5. Calculate the lowest common multiple of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/4)\/(s**(6\/5)*s)*(s**(-5\/3)\/s)\/(s**19\/s*s) assuming s is positive.\nAnswer: s**(-1387\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -440*k - 211*k + 2*k**2 + 150*k - 167*k to t*k**2 + b*k + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 53*k**7\/21 - k**5\/10 + 5*k**4\/4 + 2*k**3\/3 - 3*k + 11. Find the third derivative of w(n) wrt n.\nAnswer: 6360*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {x: 4, d: 3, u: 5}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -375, -842, -1493, -2328, -3347, -4550?\n\"Answer: -92*d**2 - 7*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*v + 2. Let x = v - 11. Which is the third biggest value? (a) 0.4 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7))**(-14))**(9\/8)\/(x**(-1)\/x*x\/(x*x*(x*x**(-2\/3))\/x*x)*x**(2\/9)*x**(-6)\/x) assuming x is positive.\nAnswer: x**(101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*u**3 - 580*u**3 - 542*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*s. Suppose 2*z + 6 = 0, q + 3*z + 6 - 17 = s. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2871 and 34947.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 4, c: 7, e: 2, m: 3}. What is prob of picking 1 c, 2 e, and 1 m?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*f**3 + 0*f**2 + 0 + 0*f = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -52*n**2. Let o(d) = -72 - 9*d**2 + 42 + 30. Calculate z(o(r)).\nAnswer: -4212*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2117 = 662. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/3*(6 + -27). Let k be (882\/(-189))\/((-6)\/(-9)) + -1 + 64. Calculate the greatest common divisor of k and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 91, 7309, 11, -3.\nAnswer: -3, 4, 11, 91, 7309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 5883.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -192. Let p = v + -84. Solve -27 = p*w - r, r + 0*r - 2 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 11*m**2 - 4*m + 3. Let v = -232 + 229. Let r(i) = -i**2 + i + 2. Let p(x) = v*r(x) - t(x). What is p(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 25*r - 3 = 0. What is the second derivative of -19*s + 498*s**2 + 17*s**r - 498*s**2 wrt s?\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-7) - 5)*(-2 - -6). Solve -5*p = -4*p - 3*f - 2, v*p - 5*f - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 - r**2 + 1. Suppose 3*s - 4 = 7*s. Let y be i(s). Let d(w) = w**2 - 6*w + 1. Determine d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(2600) - (sqrt(2600) + 2*sqrt(2600)))*3)\/((sqrt(2) - sqrt(6)\/(sqrt(3)*1)) + sqrt(6)\/sqrt(3)*-5))**2.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**3 - 7*p + 134*p**3 - 6*p + 50*p**3 + 15 - 17 in the form i*p**2 + o*p + k*p**3 + m and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 2*q - 1. Let k be r(2). Let p(f) = -3*f - 1. Let g be p(k). What is the third derivative of 4*m**6 - 2*m**6 - m**6 - g*m**2 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 3*n**7 + 6*n**3 - 24. What is the third derivative of f(x) wrt x?\nAnswer: 2520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7915 (b) -316 (c) 0 (d) 3\/2 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 4*g + 11 = 19*c, 5*g = -4*c + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*((sqrt(68) + sqrt(68)*-1)*2 - 1*sqrt(68)*-1))\/(3*sqrt(400) + sqrt(4) - -6*(sqrt(4) - (sqrt(12)\/sqrt(3) + sqrt(4)))).\nAnswer: -1 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -111.876. Round z to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 44. Solve 8*k - 3 = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 11. What is the common denominator of 1\/(-1) - 28\/y and 63\/6 - 0\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafikaifatifa. What is prob of picking 1 f and 3 i?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229030 (base 13) to base 10.\nAnswer: 819520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (18 + -2 + 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 803171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = 2*y - 5*k, -3*y = k - 15. Let d = 16 + y. Is 20 a factor of 90\/d*(-40)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1832213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 15) to base 2.\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1*77\/56)\/((-7)\/(-14)) and -45\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -954, -932, -916, -906, -902?\n\"Answer: -3*p**2 + 31*p - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1755?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 45*c**2 - 809*c. Let p be v(18). Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -564 - -568. Solve 3*v + o*p = 0, 0*p = 2*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 - 1 - 9*i + 4 + 14*i - i**3. Is 3 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -3, -1906?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -139 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = -h - 2*t, 3*t - 3 = -3*h. Let y be 10\/(-2)*(-8)\/10. Suppose -y*i = -i. Sort 4, h, i.\nAnswer: i, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*s - 90*s - 4 - 82*s + 7.\nAnswer: -216*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:37 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/(1*(-1)\/(-1))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110120222 (base 3) to base 7.\nAnswer: 35522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 5*r**2\/2 + 4*r + 1. Let a(o) = -o - 1. Let u be (-25)\/100 - (-9)\/4. Suppose u = 5*i - 3. Give i*k(j) + 6*a(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3876 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 15*f**2 - 16*f**2 + 3*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:02 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.745, 2?\nAnswer: 0.745","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/6 - -2\/3. Which is the fourth biggest value? (a) i (b) 1 (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/135 and 145\/2380482?\nAnswer: 11902410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*k - 4935 = 387*k. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620081.78 rounded to the nearest 1000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**3 - 5*l**2 - 7*l - 1. Let i(z) = 34*z**3 + 12*z**2 + 19*z + 3. Let x(s) = 2*i(s) + 5*j(s). Let f be -5*(4\/10 - 0). What is x(f)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 10 = 4*q - 3*f, 0 = -5*q - 2*f + 24. Let h(z) = 4*z - 12. Let v be h(4). Suppose -4*w + v*j = -212 - 100, 234 = 3*w + q*j. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {k: 4, y: 4, x: 3, u: 4, t: 3, a: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11117, 22215, 33313, 44411, 55509?\n\"Answer: 11098*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 815 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68, -50, -16, 40, 124, 242, 400, 604?\n\"Answer: m**3 + 2*m**2 + 5*m - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6\/7 (b) 7113 (c) -1\/6 (d) -1\/8 (e) 0.1 (f) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -12. Suppose i = -4*k + 4, k = -c - k + 5. Solve 6 + 3 = c*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -1\/4, 2, 0.3 in descending order.\nAnswer: 11, 4, 2, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6179 - -3?\nAnswer: -6176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.2671.\nAnswer: 0.5342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89029 + 20021. What is p rounded to the nearest one thousand?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48*-13\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/11)*(s*s\/(s\/(s*s**23\/s*s)))\/s*(s*s**(-1\/4))\/(s\/(s\/(s*s**22))) assuming s is positive.\nAnswer: s**(81\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -106952.73 + 4?\nAnswer: -106948.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (325\/55 - (-1)\/11)*(-8)\/24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11067 is divided by 861?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4571 is divided by 327.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-414)\/(-690) - (-407)\/5. Solve 28*s + f = 250 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1)\/((-2)\/(-108)). Suppose -3*q - 5*g = -118 - d, 2*q + 4*g = 190. Suppose -5*z = -4*h - 0*h - 40, q = 5*z + 5*h. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305620 divided by -9?\nAnswer: -305620\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 25, -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u. Let n(w) = 2124647*w. What is n(b(d))?\nAnswer: -21246470*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e49 (base 16) to base 13.\nAnswer: -1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 - -30. Let t = 148 + s. What is the closest to 3\/4 in -0.2, -1\/4, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101886.086 + -101794. Let k = 92 - c. Round k to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311.275m in centimeters?\nAnswer: 231127.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183090 and 4080?\nAnswer: 1464720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 1215421 - 18926019. Suppose s - 3*s = -4*d + 15821186, -3*d - 4*s + 11865917 = 0. Let x = d - m. Round x to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -9, -65, -193, -423, -785, -1309, -2025?\n\"Answer: -5*z**3 + 9*z**2 - 6*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31871 and 70847.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6627314?\nAnswer: 2, 17, 19, 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 + 5*g - 7. Give m(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-4))\/((-45)\/(-126)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3687 divided by 146?\nAnswer: -3687\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1 - 1 + 1 - 3 + 9*i. Let s be w(5). Let o = -31 + s. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1158*k**2 + 1158*k**2 - 13*k**3 + 3 to n + h*k**3 + q*k**2 + p*k and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 4\/13, -5\/4 in decreasing order.\nAnswer: 4\/13, -5\/4, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 6*d + 3. What is x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*b + 92*b = 4676 + 98 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 2*q**2 + 20*q + 29. Let f be o(-5). Factor 2\/5*p**2 + 4\/5*p - 4\/5*p**3 + 0 - 2\/5*p**f.\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 2189 + 785 + 1448 = 0. Calculate the remainder when 6293 is divided by r.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -146, -166, -192, -224, -262?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 4) + -6 - (2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) - (1251\/396 + -3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 13. Let w = x - -11. Solve -3*r = r + w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*d - 0*d. Let w = d + -4. Suppose 35 = -w*c + 4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(2) + (sqrt(2) - (sqrt(2)*-2 - sqrt(2)))) - sqrt(35))\/((sqrt(315)\/sqrt(7))\/sqrt(9)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 86. Let m = g - 117.5. Let q = m - -51. What is q rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4)*20 - -1541. Suppose 3*w - r = -133. What are the prime factors of w?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101101001110 (base 2) to base 3.\nAnswer: -1101200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-11)\/(i*i**(2\/5)) assuming i is positive.\nAnswer: i**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0376525107 + -0.037657. What is t rounded to 7 dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42803877 to the power of 1\/2, to the nearest integer?\nAnswer: 6542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -21. Let g(t) = -t**3 + t**2 + 5*t + 1. Let d be g(-2). What is the biggest value in 1, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 55 = 47 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1301393025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 126852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 16) + (0 - (0 - (-9 - 2)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 6:34 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 34248 = -9*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 12, -64, -0.4, -1, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(-33)*(x**(1\/3))**3 assuming x is positive.\nAnswer: x**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9760 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833))*-1.\nAnswer: -7*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/248 and -71\/24986?\nAnswer: 99944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 21\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36876.\nAnswer: 2, 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i - 46. Let h be f(-19). Let c = -90 + h. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2896.092 months to decades.\nAnswer: 24.1341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let z = 5 - 10. Let x = 9 + z. Determine u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2517 + 0.7517. Let h = 1.6 - 1.9. Let g = 18 - 38. What is the second biggest value in g, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a + 16. Suppose -9 = -a*r + 19. Suppose -4*n - 52 = -2*w, 4*n + 20 + 110 = 5*w. Calculate the remainder when w is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 707049 = -83*y + 109471. Is 88 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 224*x**3 + 9*x**2 + 6*x + 1246. Let s(v) = -709*v**3 - 28*v**2 - 19*v - 3740. Give 19*k(d) + 6*s(d).\nAnswer: 2*d**3 + 3*d**2 + 1234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + 0*w)*((3 + 3 - 4)*(0 + 1 + 2) + (21 + 2 - 13)*(-3 + 6 - 2)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.443 from 0.\nAnswer: -24.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102862 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-520)\/270 - 34\/459 - (6 + 14\/7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/3 - 388*b\/3 - 2698 = 0.\nAnswer: -19, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*k**2*y - 2*j*k**2 - 4*j*k*y**2 + 5*j*k*y + 820*j*k + 21043*k**2*y**2 - 36*k**2 - 2*k*y - y wrt k.\nAnswer: 4*j*y - 4*j + 42086*y**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 1939 = -13115. Suppose -b + a = -12173 + w, 2*b = 4*a + 23330. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-578 + 24*i**2 + 578)*(142 - 619 + 374 + 395).\nAnswer: 7008*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:17 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 9*g**2 + 7. Let b(p) = -4*p**2 + 5*p - 3. Let a be b(2). Let d be k(a). Let y(l) = -l**3 + 8*l**2 - 8*l + 8. What is y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7875)\/20*(-1)\/3. Let m = 132 - j. Put 0, m, 2\/13, 5 in increasing order.\nAnswer: 0, 2\/13, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 17. Let t be n(20). Let g be 12\/6*1\/(-2). What is the common denominator of -5\/9 and g*(252\/(-33) - t)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 383*h - 10405 = -32*h + 8515 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/129708 and 1\/50442.\nAnswer: 907956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10858352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - a - 60 = -85, -40 = -2*c + 11*a for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47817952 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**2 + a - 1. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3985964119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 - 3*c + 2. Let p be o(-4). Let d be (p\/40 - -2)*18. Let g = d - -2\/5. Is -2 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -53534?\nAnswer: -53513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)*-5 + 3. Let b = 7 + h. Suppose 0*f + 5*f = 0, -4*j + 5*f + 28 = b. Solve 6*q - 3*q - j = -k, -2*q = -k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1876942 by 1876942.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35 * 0.08\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22*b**3 - 3*b**2 + 2*b - 4. Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -114339*x - 1. What is s(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/5 - 14916*l**4\/5 + 27751162*l**3\/5 + 222666016*l**2\/5 + 557172648*l\/5 + 445929248\/5 = 0.\nAnswer: -4, -2, 3733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {j: 1, z: 2, e: 3, f: 1, r: 3, s: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 11199.\nAnswer: 89592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + (3 - 23 - -12). Solve n*a = 3*o - 15, -a - 18 = 2*o - 19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/54)\/((-8)\/(-64) - (-125)\/(-360))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -106*v**2 + 851*v - 22. Let n be b(8). Let x(m) = m**2 - 1. Let f(a) = 32*a**2 - 3. Calculate n*f(r) - 6*x(r).\nAnswer: 58*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 725, 666, 607, 548, 489, 430?\n\"Answer: -59*v + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p, 6669 = -3*r + 2*p. Find the common denominator of -11\/63 and 4\/7 + r\/(-189).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 316 + -277. Is q > 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6643 - -20?\nAnswer: -6623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 41 - 118. Calculate the remainder when l is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 3. Let u be l(4). Let m be (-1 - (-3 - -2))\/u. Suppose -z + 36 = -m*z. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/580 in -0.0126, -2, 4?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619193 is divided by 371.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -119 and -121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3890 is divided by 325.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996*c - 991*c - 20 = 0. Solve -18*v + c = -22*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtbtrnkrntrrbrnb. Give prob of sequence trnt.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**5\/120 + 5*z**4\/8 - 9*z**3 - 73. Let i(l) be the third derivative of c(l). Differentiate i(j) with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*38\/(-10260))\/((38\/(-8))\/(5\/(-8)))?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1746, -2132, -2628, -3234, -3950, -4776?\nAnswer: -5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/5 - 6*m**4\/5 - 58*m**3\/5 + 54*m**2\/5 + 112*m + 120 = 0 for m.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 620 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10998, 22032, 33166, 44400, 55734, 67168?\nAnswer: 78702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3437 and 65303?\nAnswer: 65303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from wytt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004988873 to four decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let j(p) = -40*p**2. Calculate r(j(w)).\nAnswer: 1600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1 + 2)*(-77 - -77). Is -41\/51 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*w + 28, w + 34*h = 38*h + 28. Which is greater: -252\/415 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178600 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203618 or 204335?\nAnswer: 203618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:12 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.800599 + 0.8. Round l to five dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 215935, 215934, 215933, 215932, 215931?\n\"Answer: -n + 215936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32735 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let q = 5 + j. Let o(d) = -d + 18. Let f be o(13). Solve 0*a + 26 = q*a + 4*k, -5*k - f = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -55. Suppose 2*m + 6*i = 2*i + l, 4*m - 3*i - 5 = 0. Suppose -3*p - 431 = -m*a + 5009, 0 = a - 5*p - 2713. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 0*y**2 + 0*y**2 + (5*y + y - 4*y)*(-3*y - 4*y + 5*y) - 2*y**2 + 1 + 14*y + 4 - 7*y.\nAnswer: -4*y**2 + 7*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8*m + 10*m = -370, 5*m = -5*c + 405. Let r = c - 74. Solve -2*d - r*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2\/8*230\/115. Put 5, 3, 226, h, 2 in ascending order.\nAnswer: h, 2, 3, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -10*v**3 - 28*v - 6. Differentiate h(p) wrt p.\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let o(n) = 6*n - 9. Let j(d) = 12*d - 19. Let c(g) = -4*j(g) + 9*o(g). What is c(f) - 5*r(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 652703694 divided by -34352826\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -527 > -524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456065097 to the nearest integer?\nAnswer: 21356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-5)*(-110)\/33. Let i(k) = -k**2 + 4*k + 17. What is i(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-3195.36\nAnswer: 35148.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbppbbb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2281*c + 2283*c, 4 = -c + 3*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 259591 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let w = -2 - -4. Let d = 0 + w. Let r(l) = -5 + 5 - 2*l**d. What is r(z(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/7394604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6607706 divided by -347774.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 = p - 7*p. Let b = -7 + p. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 3*x**4 + 1701*x**3 + 300*x - 32?\nAnswer: 20*x**3 - 36*x**2 + 10206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16353106169\/6486 - 2521293. Let p = y + -1\/138. Let i = -39\/188 + p. Is i < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.805992 minutes in milliseconds?\nAnswer: 48359.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*k - 85*k - 80*k - 94*k - 85*k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k - 7*k + 0*k + 26 - k**2 - 11*k. Let f be z(-25). Solve -7 = -3*b - f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5034 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 13. Calculate k(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42060 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8579000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/44 - 3) + -3 + 3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 52825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2233\/5644 + 327\/83. Let o = -3\/68 + r. Find the common denominator of 31\/2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -43 (b) 113 (c) 2\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006339 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 711777851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from lllg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2674*p + 2672*p = -5*n + 32, 5*p = -73*n + 91 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 11 = -5*r, -13*a + 18*a = 5*r + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11927943 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.248 - -0.526. Let f = y + 4.822. Round f to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let v be c(10). Factor -12*l - 151*l**2 - 5 + 159*l**2 + 39*l**v + 5.\nAnswer: l*(3*l + 2)*(13*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4833167?\nAnswer: 4833167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*(-1550)\/(-75) + 1. Let l be (-2)\/7 - 624\/21. Let i = z + l. Solve i*m = -m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008689302 rounded to 7 decimal places?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.610031 and 66.59.\nAnswer: 67.200031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k = 988 - 768 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 4*n. Let f(t) = t**2 + 3*t. Let b(q) = -4*f(q) + 3*g(q). Let r(h) be the first derivative of 5*h**3\/3 + 1. What is r(b(m))?\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 677, 3577, 8703, 16055, 25633?\n\"Answer: 1113*m**2 - 439*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**26)**(-31\/3)*(y\/(y*y**37*y*y))\/(y*(y*y**(-18))\/y*y*y) assuming y is positive.\nAnswer: y**(-878\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtyotm. What is prob of picking 1 y and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 3:55 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 92. Let c = n + -40. Let j(r) = 7*r**2 + 4*r - 8. Does 7 divide j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5131525 - -1333?\nAnswer: -5130162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and 171.3?\nAnswer: 171.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**15*c**(-10\/9)\/c**(-9))**(-34\/3) assuming c is positive.\nAnswer: c**(2176\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/4 + 3\/12. What is w in 0 - 2\/7*w**4 - 4\/7*w + 2\/7*w**2 + 4\/7*w**y = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 3359?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*k + 19560, -10*k + 4*b = -7*k - 19545. List the prime factors of k.\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**12*m)*m*m**10*m**(-3)\/m**1 assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 3*t. Let s = 708 - 720. Let v(q) = q**2 + q. Calculate s*v(m) - 4*g(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -396728542+-1\nAnswer: -396728543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 2 + 5*h - 2*h)*(-4*h**3 + 5*h**3 + 0*h**3).\nAnswer: -h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 32*j + 10. Let h be f(8). Suppose 0 = -5*o + h + 274. Suppose 0 = -2*s - s + o. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 83*r - 15. Give k(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((952\/(-48))\/17)\/(-7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 196, 379, 562?\n\"Answer: 183*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 20?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2)*3 - (-1 + sqrt(275))**2.\nAnswer: -276 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*-14*1. Let n = m + 10. Suppose -4*x - 1 = -n. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 9 + (1 - 0). Suppose f*j + j = -28. Is j\/2*68\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/7 + (-4372)\/(-28). What is the common denominator of 3 - 4 - (-2)\/48*z and (-1)\/1 + (-170)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 5, g: 2, d: 3}. Give prob of sequence gs.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55713*u**3 - 18523*u**3 - 18594*u**3 - 18599*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9 - 2\/9*b**2 + 2\/9*b = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -49.6. Is 0.5 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-40)*6\/9*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.17349 minutes in microseconds?\nAnswer: 3010409400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 295*g - 12389. What is w(42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 3.3. Let g = b - -0.2. What is the closest to g in 1\/7, 5, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oevveoovvveo. What is prob of sequence vv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -56. Let k be (-7)\/(-9)*3 + (-4)\/o. Calculate the highest common factor of 4 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -119*y + 4527. Calculate r(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0183 - 0.32.\nAnswer: -0.3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d = -39*d + 804. Let l = d - 114. Suppose -5*j + 129 = -5*v + 39, 5*j - 2*v = l. What is the greatest common divisor of 85 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -5*f**2\/2 - 2*f - 1. Let r(t) = -t**2 + 211*t - 9553. Let p be r(146). Let v(l) = -154*l - 63. Give p*i(c) + 2*v(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235843994 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -404*j**3 + 5*j**2 + 11 + 9*j - 727*j**3 + 0 - 254*j**3. Let z be a(-9). What is z rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4 + 6, -2*d = -2*h. Suppose 4*y = -h*n - 82, -2*y + 0*n + 3*n = 21. Let g = -2.9 + -0.1. Sort y, g, -5 in increasing order.\nAnswer: y, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (700\/49*84\/30)\/((3\/(-3))\/(-2)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.3 (c) 468 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 0 - 3 - 4.\nAnswer: 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768918 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 5:59 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -63. Suppose q = 5*l - y, 2*y + 12 = 5*l - 2*l. Suppose -2*i + 60 = 2*s, 5*s = 5*i - l*i + 150. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5568)\/(-18))\/(4\/(-246)). Is q\/(-88) + 6\/(-33) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 - 32*x**3 + 12*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 19*b + 142. What is j(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -1.216323?\nAnswer: -1.206323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1030, -8192, -27592, -65338, -127538, -220300, -349732, -521942?\n\"Answer: -1018*i**3 - 11*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.43?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 1, 7, 13, 19?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (322 - 344) + (90 - 2).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250.4 + -250. Sort -5, -0.4, d, 4.\nAnswer: -5, -0.4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9420225 divided by 6?\nAnswer: 3140075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20788, 3, 5 in decreasing order.\nAnswer: 20788, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h + 118032 = -158684. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -603 + 353. Let l be ((-4746)\/(-30) - 3)*(0 - o). Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49927402*g - 43949908*g - 10643168*g + 15982022*g.\nAnswer: -88538456*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10970000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1725791.5999948 + -1725770.6. Let k = -5 + 26. Let r = y - k. Round r to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27024667.\nAnswer: 27024667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35775 - 125660 = -5*u + 5*s, 0 = 3*s + 3. Suppose -u = -138*a + 124*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-18)*h)\/h)\/h**(3\/10)*(h*h**(-5\/3)\/h)**(5\/2))**(-31\/4) assuming h is positive.\nAnswer: h**(10447\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k**(-3)\/k*k**(-2\/9)\/k**3)**27 assuming k is positive.\nAnswer: k**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -38, -33, -26, -17, -6?\n\"Answer: x**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17305 + 17305.4. Which is the closest to 1? (a) 0.3 (b) 4325 (c) u (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17139.392 * -0.2\nAnswer: 3427.8784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d = 114*d - 1000 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2513403 + 4616403. Round x to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 2705 = 495. Calculate the greatest common factor of z and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100756.86 nanoseconds in minutes?\nAnswer: 0.000001679281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 4. Let a be y(5). Let b(c) = -2*c - 2*c**2 - 7*c**3 + 0*c**3 + c + 2*c. What is b(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-1 + 5 - 2)*(0*k + 2*k - 4*k + (k + 2 - 2)*(4 + 2 - 5)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*l - 20. Let f(c) = 2 + 4*c - l*c**2 + c**3 - c**2 + 0*c**3 - 3. What is f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 3*c + 3. Let h be 11\/4 - 2\/(-8). Let i be b(h). Suppose 3*f - 2*t = -2*f + 263, i*t = -2*f + 109. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2512 + 50125?\nAnswer: 53041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l - 33. Let u be r(-3). Suppose 4*j + 12 = 7*j. Put -2, u, -5, j in descending order.\nAnswer: j, u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/39057 and -163\/5544.\nAnswer: 72177336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 216192048 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 206033804133 from 3.\nAnswer: -206033804130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - v + 1. Let b(o) = 144*o**2 + 15*o - 15. Give b(r) + 15*k(r).\nAnswer: 129*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 83. Let c = 53 + w. Suppose -4*h = 2*j - c*j + 168, 3*j = -3*h + 96. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1333 - -3?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*h + 4*a - 28 = -293*h, 37 = 4*h - 5*a for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, -2\/83, -0.3, -3\/395 in decreasing order.\nAnswer: -3\/395, -2\/83, -1\/8, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from {w: 13, p: 2, t: 2, a: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/465)\/((-2082)\/(-8675))*1*(-4)\/(-5).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/29 (b) -51 (c) -2536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 7536*j**2 + 75285*j\/2 - 376675.\nAnswer: (j - 5)*(j + 10)*(j + 15067)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -7)*-1*1. Let o(s) = -s**3 + 7*s**2 - 3*s - 8. Determine o(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let m(p) = -p - 5. Let a(d) = 6*h(d) - m(d). Suppose 0*u = -5*u + 5. Let k be a(u). Solve 8 = -k*c + 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m - 3, -2*j + 121 = 3*m. Let b be (-10)\/j + 33\/(-39). Sort 2, b, 8 in increasing order.\nAnswer: b, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 6*u, 4*v + 4*u = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0129462171 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 6)*((-246)\/5082 + 12\/(-21)). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3787972 - 1620605. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 - 3*g**5 + 0*g**5 + (0 - 5 + 3)*(-4 + 4 - 2*g**2)*(-604*g + 32*g**2 + 604*g)*(-g + 2*g + 0*g).\nAnswer: 130*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixi. What is prob of sequence ii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2)**2*-1*-6 + sqrt(54)\/sqrt(2) + (sqrt(3) - sqrt(48))*-5.\nAnswer: 18*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 7*h**2 + 10*h - 6. Let f be r(6). Calculate the highest common factor of 36 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21297673 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*(-1)\/27*(-34608)\/2240 and -73\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/15)\/(1\/(-14)))\/((-12555)\/(-15066))\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + 3*k**2)*(24*k - 30*k - 19*k)*(-4*k**2 + 2*k**2 - 3*k**2) - 4*k**5 + k**5 + 0*k**5.\nAnswer: 372*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/10 + 17\/10. Let t = -1\/5 + k. What is the nearest to 0 in -2\/9, 4, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6 - 7*c - 30*c**2 + 18*c**2 + c**3 + 17*c**2. Let d be h(-6). Suppose -k + 3*k = 4. Solve -2*q + k*i + d*i - 10 = 0, -i = -3*q - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11867 is divided by 1255.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1694 - 5084\/3. Let k = -11 + 11. Which is the nearest to -3? (a) k (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 7781 = -48656 - 8563. What is the smallest common multiple of 1375 and a?\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 93667.3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a - 17 + 2 + 15.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 - (2 - -2 - 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62872779.\nAnswer: 3, 20957593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-872)\/(-5))\/((-4)\/20). Let o be k\/20 + 0\/(-2). Let r = -44 - o. Which is the smallest value? (a) r (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/15 - 74039152*d\/15 + 685224503609888\/15.\nAnswer: 2*(d - 18509788)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)\/n*n*n**3*n*n*n)\/(n*n\/n**(-1))**(8\/9) assuming n is positive.\nAnswer: n**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**6\/120 - o**5\/60 - o**4\/24 - 29*o**2\/2 - 7. Let a(i) be the second derivative of c(i). What is a(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/20 - 7*w**4\/12 + 7*w**3\/6 - 2*w**2 - 2*w. Let h be ((-4)\/(-20) + 47\/15)*-6. Let x be 4\/((12\/15)\/((-24)\/h)). Give r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-68)\/(-76) + 3 + -4. Let g be (-2)\/5 - (-27)\/30. Let s = 0.3 - 0.5. Which is the closest to 0.1? (a) g (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:39 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 25*r + 3. Sort -4, r, -3, -2 in descending order.\nAnswer: r, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843095389.\nAnswer: 1843095389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*a + 2 + 2 = 0, 3*a = 5*f - 14. Let i be (12 - 13) + 2\/f - 0. Sort i, 0.2, 0.1, -4\/5.\nAnswer: -4\/5, i, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 2. Let l = v - -0.1. Let d = 4 + -7. What is the closest to 2 in -0.3, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 128\/(-12)*21\/(-14). Let f be -4 + (0 - 0) + l. Find the third derivative of -6*s**2 - f*s + 19*s - 7*s + 2*s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auaiiiaiia. Give prob of picking 1 i and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4281*d**2 + 13*d - 27*d**2 - 13*d as r + o*d + i*d**2 and give i.\nAnswer: -4308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/60 + 301*o**4\/12 + 24*o**3 + 131*o**2. Find the first derivative of g(k) wrt k.\nAnswer: 2*k + 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d - 12. Let h(t) = 3*t. Let m(w) = 2*w. Let k(n) = d*m(n) - 3*h(n). Let r(x) = -x**2. Give r(k(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 348910210 greater than 348910213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 21*s\/2 - 405\/4.\nAnswer: -(s - 27)*(s - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2833, -2891, -2949, -3007?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -7\/2*m**4 + 0*m + 0*m**3 + 19\/2*m**2 - 7. Find the second derivative of y(f) wrt f.\nAnswer: -84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5051550 divided by 336770?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 297827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*y**2 + 876*y + 84.\nAnswer: -3*(y - 14)*(21*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k + 19. Let g be t(6). Suppose -5 = -u - g. Suppose 0 = 409*h - 407*h - 24. Solve -u*w = 5*m + 11, 0*w - 3*w = h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -55, -167, -345, -601?\n\"Answer: -2*y**3 - 15*y**2 + y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(24150\/200)*3\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 12 - 231*a + 232*a)*(-1 + 4 - 5).\nAnswer: -2*a + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 + 1.2. Let y = -0.07453 - 0.22547. Which is the nearest to q? (a) y (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*f - 98, -f - 61 = -5*g + 46. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 45c4ba93?\nAnswer: -45c4ba8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515920185.\nAnswer: 5, 13, 3719, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.829221 minutes to hours.\nAnswer: 0.16382035","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*p + 18, -2*p = -t - 8 - 0. Differentiate 5*v - 10*v + 7*v + p wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0197589422 to 5 dps.\nAnswer: 0.01976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5364*d + 43041. Calculate a(8).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00099379 rounded to six dps?\nAnswer: -0.000994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/200 + 226\/40. Let s = -17 - -18. Suppose 4 = v - s. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 + 168*k**4 - 910*k**3 - 1740*k**2 + 3608*k + 4272 = 0.\nAnswer: -89, -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - -1.9. Let s be 40\/(-96) + (-2)\/(-3). What is the closest to -0.1 in s, v, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-8))\/(((-49)\/7)\/(-28)). Let k be (-6)\/(-3) + (i - -8). Solve -k*d - 2*d = -15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 2*n - 4. Let c be q(-2). Let b(i) = -6*i + 44. Let j be b(c). Let m(y) = -y**2 - 3*y - 4. What is m(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322060 times 1.42?\nAnswer: -457325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212 - 2203122211?\nAnswer: -2203113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (17513\/2 + 3)*(-24)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1045 (base 6) to base 3.\nAnswer: -100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmtmmmmmmtpr. Give prob of sequence mmrt.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8037, -15826, -23417, -30810, -38005, -45002, -51801?\nAnswer: -58402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + l - 6. Let u be g(2). Solve 3*v = -b + 6, 3*b = v - u + 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 2, o: 2, s: 1, y: 1}. What is prob of sequence syo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-404)\/(-8))\/(6\/12). Find the first derivative of 69*q + 46 + 50*q - t*q wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 + 1324*g**3 - 1329*g**3 - 4*g**2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 - 48*z**3 + 5038*z**2\/3 + 3504*z + 5329\/3.\nAnswer: (z - 73)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/6 + 96821*g\/6 = 0. What is g?\nAnswer: -96821, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1031969mg?\nAnswer: 0.0001031969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97858085 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = 2*o. Suppose 148 = -5*f + d + o, -4*f = 5*d + 126. Let i = f + 29. Is -3\/29 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/330*15\/12*300\/250.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14500 = -1524085*z + 1523960*z for z.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 31*l + 111. Calculate the remainder when i(0) is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*l + 86 + 216 = 1778. Let y(b) = 2*b**2 + 19*b - 34. Calculate y(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170850000 rounded to the nearest one million?\nAnswer: -171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 664. Let v = l - -469. Let x(g) = g - 6. What is x(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153881170 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8790 + 8740.37. What is x rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1425764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6186123 times -0.01?\nAnswer: -61861.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:34 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/7 and 953263 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*f - 10, 4 = 5*d + 148*f - 146*f. Solve -10*c + 7*c - 9 = d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247640 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 0*j + 4*j + j - 3*j.\nAnswer: 2*j + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -16. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)\/o**(-2\/55) assuming o is positive.\nAnswer: o**(226\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103 and 12531289?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c**11\/c)\/c)\/c)\/(c**5*c*c))\/(c**(1\/3))**(-19) assuming c is positive.\nAnswer: c**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3436*b**5 + 177*b**2 - 2*b.\nAnswer: -206160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, g: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4*i**3 - 1360*h**2*i**3 - 75*h - i**3 wrt h?\nAnswer: 24*h**2*i**3 - 2720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f - 5*y, -5*f - 2*y + 0 = -13. Let h(z) be the first derivative of -z**2 - 7*z + 2. Let n be h(-5). Is n at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 120221011?\nAnswer: 120221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - 29 - (-32 + -21 + 33)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s + 7. Suppose 0 = -5*u + 4*l + 23, 5*u - 15 = 3*l + 6. Let b(x) = -u*x - 4*x + 3*x - 10 + 4. Let r(v) = 5*v + 7. Determine s*r(a) - 7*b(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 116 = 36*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6944 and 452228?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - (-10)\/(-3). Let a = -25 - -22. What is the nearest to -0.2 in a, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -27. Let a(u) = u**3 + 4*u**2 + 5*u + 4. Let h be a(-3). Let x = h + 5. Solve -y = 2*l + x*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-33))\/(10*4\/360)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7\/3. Let h = 0.1 - -4.9. Which is the third smallest value? (a) h (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1146*n**3*t**4 - 38*n**3*t + n**2*t + n*t**4 + 2*n wrt t?\nAnswer: 13752*n**3*t**2 + 12*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 + -279. Suppose g*v - 168 = -42. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7658)\/(-70) + 3*(-2)\/(-10). Calculate the highest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 78345468 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/(-440) + -1279*1\/(-4). Suppose k*n - 18 = 314*n. Solve -4*x - 3 = 3*t, 5*t = -n*x + t - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 0*a**2 + 2*a**5 + 13*a + 42*a**5 - 13*a + (-2*a**5 + 0*a**5 + 4*a**5)*(3 + 3 - 2).\nAnswer: 52*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -1 + 10. Let b(u) = 7 - u + 5*u + u**2 - w*u + 0. Is b(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 693*z**2 - 8*z - 203. Is i(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8899136*c**4*g - 14332*g + 330 wrt c?\nAnswer: -35596544*c**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -1\/4 (c) 3.61 (d) 1 (e) -0.55 (f) 2\/29 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Suppose -19*r + 17 = -2*r. Give o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-15)*(-3)\/(-50). Let d = f + 61\/175. Suppose 14 = 5*i + 14. What is the closest to i in d, -5, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342684 and 76152?\nAnswer: 685368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**2 - 14*q - 14. Let s be g(-1). Let i(u) = -407*u**3 - u**2 + 3*u - 2. Is i(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 - 558 + 2*z**2 + 2*z**2 - 164 - 81 to i*z**2 + l + t*z and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 737*a**2 + a - 737 = 0. Calculate a.\nAnswer: -1, 1, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x - 10 = 0. Suppose -x*w + 25 = 3*w. Suppose 0 = 3*b + 2*b + w. Which is smaller: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19a7a - 36?\nAnswer: -1a005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 224*i**3 - i**2 + 393*i - 523920 wrt i.\nAnswer: 672*i**2 - 2*i + 393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 8:50 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1947 + -957. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43002350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/((-39)\/(-4)). Let l = 265 + 70. Let b = 334 - l. What is the nearest to 2\/5 in d, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140344753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332 and 77537438?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let s = z - 0.4. Let a = s - 0.3. What is the third smallest value in a, -1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 6*n - 44. Give f(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4846?\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81301*m**3*y**4 + m**3*y**2 + 2*m**2*y - 80*m + 23*y**2 wrt y.\nAnswer: -1951224*m**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*x - 5. Let u = -152 + 301. Find the second derivative of 5*o**x - 4*o**4 - 147*o + u*o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379.3 - 379. What is the nearest to v in -5, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/3 + 4*j**2 + 8*j + 2. Let v = 1 - -6. Is t(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 24 = -2*m + 2*g, m + 5*g - 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = 0, 0 = -s - 237*w + 233*w + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 77*z**2 - 1375*z - 78. Determine o(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 15*x**2 + 24*x + 156. What is y(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -44*g. Let z(s) = 2*s + 8. Determine d(z(v)).\nAnswer: -88*v - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 10*x - 7. Let i be u(9). Suppose -5*n - 624 = 4*k - 5*k, i*n + 2514 = 4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*(-9)\/6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 - 6)*(-16*a**2 + 5*a**2 - 5*a**2)*(3*a - 2 + 2) to o*a + i + h*a**2 + u*a**3 and give u.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-8))\/((-6)\/72). Let q = f + -20. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5630, 5668, 5706, 5738, 5758?\nAnswer: 5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -7*h**6\/60 - h**5\/20 - h**3\/3 + h**2 + 37*h. What is the hundreds digit of x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 + -6. Let i = -0.39202 - 0.407956. Let y = i + j. Round y to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(147) + -1.\nAnswer: -1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -276*z + 281. Determine d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 710 or -177?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-7 + 2 + (3 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48) - (-14)\/(-24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68958165 divided by 13791633.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.11 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-122)\/(-8) + 2\/(-8). Let v be (6\/5)\/(6\/o). What is the greatest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4245036 (base 7) to base 9.\nAnswer: 865180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -500 + 263 + 137 + o + 0*o - 2*o. Let x(a) = -7*a. What is s(x(b))?\nAnswer: 7*b - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 14, 0, 3, -2\/7, 0.19, -0.4 in decreasing order.\nAnswer: 29, 14, 3, 0.19, 0, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:08 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 + 6*k. Let j be i(6). Suppose -y + 1 + 7 = j. Let t = 593 - 577. Calculate the greatest common factor of y and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = 0, 4*m = 2*f + 6*m - 2. What is the smallest common multiple of 23\/3 + (-8)\/12 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/(-2376))\/(1\/(-11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 2*y - 38, -3*h + 128 = 4*y. Let k = h + -42. Let j(n) = -4*n + 3. Let z(u) = -4*u + 2. Let d(v) = 3*j(v) - 4*z(v). Give d(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uutwuutwu. Give prob of picking 1 u and 2 w.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6)\/(-6)*-7 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.8 and 373?\nAnswer: 369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -41*x. Let r(v) = v - 2852. What is r(t(h))?\nAnswer: -41*h - 2852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.33366l to millilitres.\nAnswer: 69333.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*z**5 - 2904*z**4 - z**3 - 44*z**2 - 2*z - 1.\nAnswer: -420*z**2 - 69696*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*q - 7*q, q = 4*h - 15. Suppose h*t - 21 - 27 = 0. Calculate the smallest common multiple of 14 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25724130.\nAnswer: 2, 3, 5, 857471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 1782.\nAnswer: 65934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 65. Let q(p) = p**2 + 17*p + 35. What is the tens digit of q(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*z = -36, z = 2*f + f - 20. Solve 0 = 3*l - f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102479 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15)\/a*a**(-21))\/(a**(-7))**(6\/23) assuming a is positive.\nAnswer: a**(-809\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*o**2 - 179*o**2 + 2*o**3 + 62*o**2 + 62*o**2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 43*v**4\/12 + 11*v**3\/6 - 34*v**2. Let w = 14 - 7. Is i(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 divided by 4?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -159*p**7\/7 - 21*p**3 + 65. Find the third derivative of j(y) wrt y.\nAnswer: -19080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 + -285. Let l = y - -336. What is the highest common factor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3 - 2 - -6. Suppose p = -r + 2, 3*r - 10 = -8*p + m*p. Let h(y) = 6*y**3 + 4*y**2 + 4. Let a(t) = 13*t**3 + 9*t**2 + 9. Give p*a(w) - 9*h(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*k - 5*f - 20, 4*f + 80 = 4*k. Solve -5*y - 3*p + k = 0, p - 3*p = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -2, 7.\nAnswer: -2, 3, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123545 + -132830405.\nAnswer: -132953950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - -5.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 265*d + 40120 = -590*d - 703*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -39*p + 4560. Calculate a(119).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 65. Suppose -f + x = -0*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11588214 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 16 + 0*i**2 + 2*i**3 - 7*i - 3*i**2 - 20 - 3*i**3. What is the smallest common multiple of 24 and m(-4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 78766, 157532, 236298, 315064, 393830, 472596?\n\"Answer: 78766*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516487554.\nAnswer: 2, 3, 11, 281, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 768 + -1467\/2. Let v = 7419\/2 - 3167. Let r = v + -576. Calculate the common denominator of r and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 34624795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36103330\/39 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/3, -1, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p*p*p*p**(1\/8)*p*(p*p**(-1))**(-5))\/(p**(-4\/9)*p**(3\/2)*p)**(-2\/17) assuming p is positive.\nAnswer: p**(-775\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 967 = -4*h, -2*h + 89 = -4*p - 427. Which is smaller: h or 1489\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.3 + -101.2. Let q = z + 133. What is the second biggest value in -0.1, -0.5, q, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cb + 29cda?\nAnswer: 2a0c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24947.8 - -6?\nAnswer: 24953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*h + 22, 3*r + 19 = 7. Let g be (7 - 2)*(-1 - h)\/(-6). Sort 2, g, -11 in increasing order.\nAnswer: -11, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.4829 from 0.2.\nAnswer: -12.2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-5)*(-1)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -51*k**3 + 3*k - 4. What is w(1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 160380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + 3 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.243 and 0.176.\nAnswer: 0.218768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665*b + 1717*b + 2406*b = -1579*b + 153406 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-7)*((-26894)\/(-374) + -71).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343774431839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 22*p + 2. Let z be u(11). Suppose f = 4*h - 12, -5*h + 10 = -z*f - 5. Solve -d + f = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Let j be 3*(27\/3)\/(-3). Let m = 10 + j. What is the smallest common multiple of m and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4\/i**6*((i\/i**(4\/9)*i)\/i)\/i**1 assuming i is positive.\nAnswer: i**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 24*v + 18. Let f = -50 + 41. What is the tens digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/5 + 2*r**2\/5 - r\/5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03662 - 0.36338. Let f(t) = -t + 1. Let i be f(0). Which is the nearest to i? (a) 1 (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84213118 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/7)*g*g\/(g**(-2\/29)*g)*g*g*g*(g**(1\/3)*g)**(-44) assuming g is positive.\nAnswer: g**(-32467\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.213542333 rounded to five decimal places?\nAnswer: 0.21354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 81413?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -121. What is the remainder when 139 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*h + 83 - 145 + 45 as d*h + s and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 2, 1, 1.108, -27.3?\nAnswer: -27.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -111 - (20 + -27 + -187)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1463 = -3*f - 4*f. What is the units digit of (f\/2 + 5)\/((-1)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(5 + -2 + (-228)\/72). Let m = -1 + 0.9. Put 2\/9, z, 1\/2, m in increasing order.\nAnswer: z, m, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 2*h + 108. Let z be q(0). Let a be (z\/15)\/((-5)\/(-225)). Suppose 0*s - a = -4*s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9652, -38478, -86500, -153712, -240108, -345682?\n\"Answer: f**3 - 9604*f**2 - 21*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**23*u**9*u*u\/(u*u**(-1\/4)) assuming u is positive.\nAnswer: u**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -w + 5, 0 = -4*w + 1 + 19. Suppose 0*p + 5*p - 50 = s. Let t be ((-12)\/p)\/(60\/(-100)). Solve -2*k - 2 = 4*i - 7*k, t*k = i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2 + 17. Let x = 25 - u. What is the lowest common multiple of x and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) + 42\/(-5). Let a(z) = -3*z - 12. Let v be a(j). Let n(x) = 3*x**2 - x + 4. Let w be n(-5). What is the highest common factor of w and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v = -69*v - 5*f + 233, -v + f = -75. Let t = -684 + 1026. Let l be (50\/(-15))\/(-5)*t\/4. Calculate the highest common factor of v and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -22924\nAnswer: 1\/22924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 91\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (110\/70)\/((-10)\/(-70)). Solve -i*n = -19*n - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781182 is divided by 437.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4)\/(-24)*0. Suppose x = 11*c - 10*c. Suppose 3*m = t, c = -2*t - 0*m + 3*m + 3. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*u - 16 = 0, -5*w = 3*u + 16 + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 323*b - 1067. What is the hundreds digit of t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 15*m**2 + 14*m + 6. Let p be v(14). Solve 2*d + p + 4 = 0, -f - 4 = d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/36 - 7*r**5\/90 + r**4\/18 - r**2\/2 - 2. Let c(j) be the second derivative of n(j). Solve c(a) = 0 for a.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/(-3) - -1). Let f(d) = -d**3 + 4*d**2 - 4. Let x be f(3). Is x at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 1\/3*k**4 + 4\/45*k**5 - 8\/9*k + 252 - 2\/3*k**2 + 4\/27*k**3. Find x, given that u(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d**(-1\/7))**(-10\/11) assuming d is positive.\nAnswer: d**(640\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.053779103 + -107.946161897. Let y = 2.51 - -105.49. Let a = y + b. What is a rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = 2. Suppose -557 + 552 = 5*f. Which is the third smallest value? (a) -1\/6 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256350743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = y + 14, -m - y = -10. Suppose k = -5, -k + 200 = m*o + 4*k. Calculate the highest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.0748 minutes?\nAnswer: 64488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3477, 6952, 10429, 13908, 17389, 20872?\n\"Answer: t**2 + 3472*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98987.9ml?\nAnswer: 98.9879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147034151*k**3 + 61939458*k wrt k.\nAnswer: 882204906*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.816 - 1.316. Which is the nearest to -0.2? (a) 0.075 (b) v (c) 3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -411.09 + 416. Let m = d + 0.09. Let w = m - 4.9. What is the second biggest value in w, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.1 - -5.9. Let q = n + -96. Let v = q + 43.118. Round v to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 20*m + 6*m**2 + 0*m**2 - 20 + 8*m. What is the hundreds digit of r(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168751, 168714, 168675, 168634, 168591, 168546, 168499?\nAnswer: 168450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122041144 (base 5) in base 13?\nAnswer: 17448b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 510126971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 75*k**2 - 9*k + 153. Let x(s) = s**3 - 35*s**2 - 5*s + 76. Let u(c) = 6*o(c) - 13*x(c). Give u(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 + -100. Calculate the remainder when c is divided by 121.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2970*f = -3230*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 3*a - 4. Let b be 6\/3 - 2 - -75. Suppose t + 4*t - b = 0. Suppose u + t = 4*u. Determine g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 29*h**2 - 63*h + 35. What is s(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 99916554, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.5822 centimeters to millimeters.\nAnswer: 9845.822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4967, 597, -3773?\n\"Answer: -4370*y + 9337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 + 2.3. What is the third smallest value in 3, o, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 22*g + 234. Let l be d(-22). Which is smaller: l or 259?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -16\/9, 9506, -0.2, 1\/6, -3?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgguvllll. What is prob of sequence gull?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3215 or -3771?\nAnswer: -3215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s + 2*s)*(-s**3 + 3*s**3 - 3*s**3) + 226*s**4 + 129*s**4 - 71*s**4 to p*s**2 + j*s**3 + n*s + x + w*s**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 18. Let y = f + 9.2. Let g = 0.3 + y. Which is the nearest to 0.1? (a) g (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 57, -94 in descending order.\nAnswer: 57, 6, -1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*y = -13, 2*t - y - 19 = t. Let q = 11 + -6. Let c = t - q. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10116609 - 3586981. Suppose 7*a + 4411372 + r = 0. What is a rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 45*d**2 - 23*d + 4. Let l be q(23). Solve -l*i - 2*h + 3 - 7 = 0, -i + 3*h - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 12 + 12)*(806 - 806 + 1577*o**2).\nAnswer: -4731*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126.99941 + -127. Round z to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11898786*i - 2 + 10 - 8.\nAnswer: -11898786*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 421*p + 223*p - 64*p + 677*p - 99*p to the form a + h*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6712.\nAnswer: -13424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 6 + 4\/3*y**3 - y + 0*y**5 + 10\/21*y**7 + 0*y**4 + 0*y**6 + 0*y**2. What is the second derivative of i(t) wrt t?\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-9 + (-3 - (3 + -5) - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 421180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r. Let k(i) = 11*i**3 + 5*i**2 - 5*i + 1. Let j(d) = k(d) - 5*t(d). What is the first derivative of j(z) wrt z?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/38 and 198\/(-5)*80\/(-64).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1185 and 11613.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -476. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 - -150. Suppose l = -7*z + 34*z - 68499. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*f - 1453 = 284*f - 4549 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19320 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/393432 and -103\/5304.\nAnswer: 6688344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 2*g - 1.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44705544 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, 3, 1593.\nAnswer: -1, 2, 3, 4, 1593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8328, 33406, 75232, 133806, 209128, 301198?\n\"Answer: 8374*j**2 - 44*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10487417?\nAnswer: 113, 92809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36134 (base 8) in base 14?\nAnswer: 58ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opmupomops. What is prob of picking 2 p and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2361, 2397, 2439, 2475, 2493, 2481, 2427, 2319?\nAnswer: 2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*m - 13, -2315*q + 2313*q - 5*m + 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 16362\nAnswer: -49086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*f**4 - 1060*f**3 + 2185*f**2 - 890*f - 160 = 0. What is f?\nAnswer: -16, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393590?\nAnswer: 2, 3, 5, 11, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25*(0 - -1) - 1. Let n = 1317 - 4025\/3. Let g = n + z. Sort -4\/9, 3\/2, g in decreasing order.\nAnswer: 3\/2, -4\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -9 - (-1 + 4). Suppose 135 = i + y*f, 5 = -3*f - 2*f. Calculate the greatest common divisor of 35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -27 - (0 + -9) - (1 + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 7. Let o be t(-4). Suppose o*k + 2*v + 1 = 4*k, -2 = -2*v. Suppose -2 = -5*c + k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t - 140. Let n be l(18). Let z(s) = -2*s**2 - 6*s + 2. Let d(a) = a**2 + a. Let x(w) = 3*d(w) + z(w). Let q be x(n). Solve -q = 5*p + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from zbssssblsbllzusb.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 861 = m, 2*m + 5*p = 4*m - 1737. Find the first derivative of -285*k - 422*k + m*k + 180 wrt k.\nAnswer: 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-18) + 60*(-24)\/4212. Which is the closest to k? (a) -1\/3 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -12264\/1745?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**3 - 9*o**3 + 27*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39*-1.6\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10848, 43603, 98262, 174825, 273292?\n\"Answer: 10952*h**2 - 101*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*p**3*v**2 - p**3*v + p + 59*v wrt v.\nAnswer: -142*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -222, 3 in ascending order.\nAnswer: -222, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 32*s**3 - 8*s**2 + 21*s + 5. Let p(d) = -27*d**3 + 6*d**2 - 18*d - 5. Let x(v) = -7*p(v) - 6*u(v). Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-594)\/(-39) + (-279)\/1209. Calculate the highest common factor of k and 7200.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -517 + 514. Let h = 3 + -8. Put 6, v, 2, h in ascending order.\nAnswer: h, v, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 266 = -993*y + 1367, -7*j + y - 28 = -8*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39969 and 0.24.\nAnswer: 9592.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1846.31 + -409.99. Let i = 2151 + m. Round i to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -72, -0.77, 1, -0.1, 145, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.4, 3, -1\/318, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**4 + 2*s - 5 + 36*s**2 + 38*s**2 - 73*s**2 to v*s**2 + r*s**4 + m + u*s + g*s**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13100013.\nAnswer: 3, 17, 85621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 13. Let p = o - 10. Let g = 2 + -3. Sort -1\/5, p, g.\nAnswer: g, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1178 + 286. Let p be (-27*(-5)\/(-10))\/((-2)\/b). Let w = -4979 + p. Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1340*k**3 + 1886*k**2 + 3*k + 54. Let w(g) = 2681*g**3 + 3773*g**2 + 7*g + 126. Let q(a) = -3*w(a) + 7*y(a). Find the third derivative of q(i) wrt i.\nAnswer: 8022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 288 = -f. Suppose -4*q + 8*q = f. Calculate the highest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1962.256ml?\nAnswer: 1.962256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15))\/((-92)\/(-690)). Factor 2\/5*y**4 + 4\/5*y**2 - 6\/5 - 8\/5*y**d + 8\/5*y.\nAnswer: 2*(y - 3)*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 30. Let r = 548 + -546. Let i(o) = -o**2 + 9*o + 26. Let s be i(11). Solve m = -s*h - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/66)\/(8\/(-16)*(-14)\/693)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14841 - 14836. Suppose -5*j - o - 14 = 0, 3*j - o - 6 = 2*o. Suppose 4*f - 3 = -15. Put n, j, f in descending order.\nAnswer: n, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjjnjnjnjmnqjjtq. Give prob of picking 1 n and 2 j.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*g + 11. Factor 2*s**4 - s**4 + 3*s**3 + s**5 - g*s**3 - s**2.\nAnswer: s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17095607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1 - 1) + 1)*-1. Put w, -3, 3 in increasing order.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v. Let o(c) = 5*c. Let g(d) = -10*o(d) + 3*p(d). Let k = 6 + 28. Let f(y) = -k + 34 - 2*y. What is g(f(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/260)\/(2\/5). Which is the closest to -2\/3? (a) 3\/8 (b) k (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 96 = -10*r. Suppose -9 = i + 2*i + 3*q, 7 = -i + q. Put r, i, 0, 15 in decreasing order.\nAnswer: 15, r, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2 - (-14 - -10). Let f(y) = y**3 - 6*y**2 - a + 7 - 7. What is f(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k. Let x be (-195)\/(-91) + 3\/(0 - 21). Let l(g) = 932*g - 932*g - 2*g**x. Give l(a(d)).\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 75*z - 139*z + 39*z**2 - 40*z**2 + 64*z. Let q(l) = 45*l**2 + l - 12. Give q(c(u)).\nAnswer: 45*u**4 - u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -44*w**2 - 9*w. Let d(f) = -1123*f. Determine z(d(v)).\nAnswer: -55489676*v**2 + 10107*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 15) to base 16.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in nineteen sevenths of a week?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzblzzblzbbdjbzzdl. What is prob of sequence djzl?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z + 69. Let q be (-1)\/((-2)\/21 + 646\/(-714)). Solve -q = 4*y - 5*k, 2*y + 5*k = -0*y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**6\/720 + 11*k**5\/80 - 35*k**4\/24 + 206*k**3\/3 - 192. Let z(r) be the third derivative of w(r). Factor z(q).\nAnswer: (q - 2)*(q + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*h - 3*h + 3*w, 0 = 2*h + 4*w + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/30 - s**4\/6 + s**3\/2 + 9*s**2. Let w be g(1). Solve -j = -w + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 14*b + 90 = 0. Let m be (2 + 26\/b)\/((-4)\/60). Sort m, -2, -1, -0.3 in descending order.\nAnswer: m, -0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 3) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + 0 + (sqrt(891) - sqrt(891)*1) + -3*(sqrt(891) + 0) + sqrt(891) + 3)**2)*-2.\nAnswer: -7192 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387349611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 4\/2 - 0. Suppose 3 = 4*s - 13. Sort 2, s, w.\nAnswer: 2, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o - 4*o)*(-452*o**4 - 140*o**4 + 149*o**4).\nAnswer: 1772*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 + -132. Suppose c + 5 = r. Solve -r*t = -3*z + 17, -t - 2*t - z + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 4. Suppose -2*h - d + r = 0, 3*h - 5*d = h + 14. Suppose -2*t - 1 = -9. What is the smallest common multiple of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3988 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/6 - w**3\/2 - 239*w**2. Give g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11999956 - 0.12. Round b to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121332 + 311331?\nAnswer: 123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2 + -2) + 2. Suppose -4*j = -x*j - 8. Calculate the least common multiple of 10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 776020 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-16 - -6)) + 381 + -431?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (2 + 479 - -1). Let k = m + -305. List the prime factors of k.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -3 - (6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)\/((-7)\/203). What is the highest common factor of m and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1049 + 1073. Calculate the highest common divisor of 104 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -570369*v + 394326?\nAnswer: -570369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21438*w**3 + 41558*w + 2?\nAnswer: -128628*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 44 + 7 + 2 as y*n + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7523341001 - 4361449775. Let a = f + -3161891357.9999917. Let d = a - -132. Round d to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69d62 (base 15) to base 10\nAnswer: -337142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 15) to base 3.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/13, -4, -25\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 1, r: 2, c: 1, d: 1, t: 1}. What is prob of sequence dgic?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 3\/842, 3 in ascending order.\nAnswer: -42, 3\/842, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 1448*v**5\/5 - 15*v**2\/2 + 10*v + 283. Find the second derivative of m(t) wrt t.\nAnswer: 17376*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723368 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540718 divided by 2?\nAnswer: -770359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1596 and 0.02.\nAnswer: 31.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + (-52 - (-81 + 22)) + (47 - -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 45 + -21 + 1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87356*-4\nAnswer: 349424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 24. Let r = d - 7. Solve 8 = -r*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 994.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -31*m**2 - 2*m. Let a be b(2). Let u be 8\/(-12) + a\/(-12) + -2. Let l be u + -1 + 2 + 10\/(-2). Solve d + 1 = -l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50520000 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 8*w**2 - 6*w + 3. Let g(c) = 2*c**2 + 12*c - 7. Let t be g(-7). Calculate the remainder when 28 is divided by u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000060364019 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 8291*a**2 + 483842*a - 3339600.\nAnswer: -(a - 50)*(a - 8)*(a + 8349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.06, 2759350 in descending order.\nAnswer: 2759350, 3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 6\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2097 - 12581\/6. Are -0.98 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18212, -36426, -54642, -72860, -91080?\nAnswer: -109302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m**(-1\/6)*m)*m**(-15) assuming m is positive.\nAnswer: m**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/6)\/70)\/(4\/14)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 342 + 56. Let u(t) = 198*t**3 + t**2 - 2*t + 1. Let v be u(1). Suppose -4*g + x = -v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6824724 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/148277734 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 0.6, -4, -0.06?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 8. Let c(f) = -f + 9. Let l(r) = -2*c(r) + 3*q(r). Let j be l(3). Suppose j*s = -s + 40. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-26 - -44) - -43.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -25*g**2 + 8. Let b(f) = -50*f**2 + 17. Let l(d) = 6*b(d) - 11*v(d). Differentiate l(c) with respect to c.\nAnswer: -50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64920, 129852, 194784, 259716?\nAnswer: 324648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 7:31 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -229694.179 and 0.4.\nAnswer: -91877.6716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100498?\nAnswer: 2, 109, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 174. Let o(z) = 4*z - 175. Let d(w) = -3*k(w) + 2*o(w). Let a be d(0). Let q = a - 732. Round q to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13. Let x be ((-30)\/(-4))\/(6\/32). Suppose d - x = -u*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 10*y + 3418 + 24*y - 3344 - 3*y**2. Let u be v(-4). Let 20\/9*p + 4\/3 + 4\/9*p**u - 4\/9*p**3 = 0. What is p?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, l: 2}. Give prob of picking 2 y.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-9) - 1)\/((-7)\/21). Let b(w) = -2*w**3 + 23*w**2 - 10*w - 7. Let p be b(k). Suppose -t + 1 + 2 = 0. Solve 0 = -p*o - t - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16779 divided by -9\nAnswer: 5593\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10340*i - 5*i**3 - i**3 + 7*i**3 - 22957 + 10340*i.\nAnswer: i**3 - 22957","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 18*c**2 - 24*c - 235. Determine w(-16).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:51 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1883 + -1968707.106?\nAnswer: -1968706.9177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1554915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 9*o - 3. Let m = 4 - -5. Let r(i) = -3*i**2 + 4*i + 1. Let g(t) = m*r(t) + 4*s(t). Differentiate g(u) with respect to u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 22316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5682.57 centuries to millennia.\nAnswer: 568.257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/840 + 2*y**7\/175 + 3*y**6\/25 + 4*y**5\/15 + 126*y**2 - y. Solve u(q) = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46362773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1256*x - 13 - 865*x - 766*x - 17 + 31.\nAnswer: -2887*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5288 + -3032. What are the prime factors of z?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1786500 to the nearest ten thousand.\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45 + -31)\/((-3)\/(-36)). Suppose 72*c - d = 16*c. Solve -c*w + 5*l - 23 = 0, -4*w - 3*l = -2*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, q: 3, l: 4}. Give prob of sequence qnq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 152563687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -17\/8, -1\/8567?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-88))\/((-2)\/(-24)))\/((-204)\/272).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9833*m + 65 + 179 - 244.\nAnswer: -9833*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -17*q**2 + 10*q - 12. Let o(h) = 20*h**2 - 522*h + 54. Let a be o(26). Let b(x) = -6*x**2 + 3*x - 4. Determine a*z(l) - 7*b(l).\nAnswer: 8*l**2 - l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 40 + 26. Solve 5*b + 25 = 0, -p*a + 19 = -a - 3*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (20 - (62 - 32) - (-69 - 2)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191189.403 milliseconds to days.\nAnswer: 0.0022128403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - c + 0*c + (5*c - c - 2*c)*(-4 + 4 - 1) + 5*c + 2*c - 5*c + (-2*c + 4*c + 5*c)*(1 - 2 + 2).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440047551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226.9 + -228.9. Which is the nearest to -18? (a) 1\/2 (b) i (c) -1\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6*13.\nAnswer: -59.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002687209772 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Let z(s) = -s**2 - 6*s + 4. Let h(m) = 3*r(m) + z(m). Suppose -2*j + 5 = -3*j. Calculate h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:09 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.14093 rounded to zero dps?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*q**2 - 615*q**2 - 285*q**2.\nAnswer: -1636*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 237, 1198, 3583, 8046, 15241, 25822, 40443, 59758?\n\"Answer: 109*g**3 + 58*g**2 + 24*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - (19 - 22) - -73) + 3 + -13.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1172741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-46.695.\nAnswer: -2.33475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 118?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2876, 5760, 8644, 11528?\n\"Answer: 2884*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 9*f**2 + 14*f + 9. Let c be (96\/(-42))\/(39\/21 - 2). Let t be c\/3 + 30\/18. What is s(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.02, 1\/10, 1, 0.2 in increasing order.\nAnswer: -0.02, 1\/10, 0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 31, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:46 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(0 - n + 0)*(-1168*n**2 + 1168*n**2 + 447*n**3).\nAnswer: 2235*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 5559 - 5561 - o**3 + 11113 + 10*o. Calculate r(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00473 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 246136619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 - (2 + -1) - (0 + -18) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 916\/12*8 - 5. Let o = -605 + a. What is the fourth smallest value in 5, o, 1\/5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + r)*((-4 - 2 + 5)*(-1 + 2 + 0) + 0 - 3 + 2)*(r - 4*r + 5*r)*(-243 + 35 - 375).\nAnswer: 2332*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1778781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -12. Calculate the greatest common factor of 48 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/8526 and -115\/10962?\nAnswer: 76734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343 by 129071.\nAnswer: -343\/129071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/215?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488323 and 11206.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 4*c + c, -10 = -3*j + 2*c. Suppose 35 = b - j*b. Let w = 55 + b. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.149545\nAnswer: 0.149545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14421 + -54?\nAnswer: 14323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35904.7 rounded to the nearest ten?\nAnswer: -35900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 40*r = 2*o + 26, -2*r + 216*o - 421*o + 210*o = -11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 164*z - 175. What is t(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69206*b**3*i**3 - b**2*i**2 + 145*b**2*i + 2*b**2 + b*i**3 wrt b?\nAnswer: 415236*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5776043?\nAnswer: 7, 13, 63473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 62, 133, 202, 251?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 320, 316, 312, 308?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (11 - 0) - 5) + 6 - 25.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2500*b**4\/3 - 12100*b**3\/3 - 18841*b**2\/3 - 3388*b - 588.\nAnswer: -(b + 2)**2*(50*b + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 7*l**2 - 9*l + 1. Let o be n(8). Let w(p) = -13*p - 32*p - 4*p - 32*p - 10. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 480*x**6 - 3015*x**2 wrt x?\nAnswer: 57600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 18*c**2 + 4*c - 6. Let k(m) = m**3 - 19*m**2 - 3*m + 5. Let p(s) = 5*j(s) + 6*k(s). Is 11 a factor of p(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(1\/53)*g*g\/(g\/(g\/(g**(-4\/9)*g))*g) assuming g is positive.\nAnswer: g**(680\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(2\/63)\/((c*c**(-1))\/(c*c**(-5)))*(c\/(c**3*c))\/c*c**(1\/9)*(c*c**(-1\/2)\/c)**28 assuming c is positive.\nAnswer: c**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12590 is divided by 6274.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -96475.\nAnswer: -6\/19295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30327879212 - -20.31\nAnswer: 30327879232.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Let q be 52\/(-9) + (-2)\/9. Let a(d) = 4*d. Let h(o) = -664*o - 661*o + 1330*o. Let k(n) = q*a(n) + 5*h(n). Determine k(g(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358*m**5 - m**2 - 351 wrt m?\nAnswer: 21480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 2. Let m be g(-4). Calculate the highest common divisor of m and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191397583 is divided by 415.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -t + 43, -21 = -3*o - 5*t + 38. Let d = o - 5. Suppose -7 = -p + d. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = -816. Let c = b + 304. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1328\/4316 - 357\/780\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 11 - (-174 + 177)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 24. Let i be v(9). What is the units digit of (-4 - -27)\/(i + (-140)\/(-46))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -547 (base 11) to base 10.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5275914, -10551830, -15827746, -21103662?\nAnswer: -26379578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 12. Suppose -5*o = -a*j - 2*o + 9, -4*o = -2*j - 2. What is the least common multiple of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2290*f + 196453. Determine y(-86).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162 - -155.85. Let y = 0.15 + x. Which is the biggest value? (a) y (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*h - 2*z, -20 = 5*h - 2*z + 22. Suppose 2*g = 5*g - 99. What is the remainder when g is divided by (54\/(-15))\/(3\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, -5, 2.6, 0.52?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 52*b**2 - 4*b + 5. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1 + r - r + r in the form m + z*r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u**3 - 9 - 203*u**3 + 73*u**3 + 64*u**3 + 9.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/30)\/(-2*(-5)\/(-100))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116*w + 2*z + 1574 = -1112*w, 797 = 2*w + z. What is the remainder when w is divided by 135?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-35) + 32\/(-5). Let x be 4\/d + 14\/(-735)*5. Sort 1\/2, -2, 1.2, x.\nAnswer: -2, x, 1\/2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2181485\/90 + 2\/1. Let p = 24234 - b. Find the common denominator of 15\/4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10764 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5, 12*k - 13*k = -4*i + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:57 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963885 is divided by 3003?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f + 1. Calculate the remainder when -3*(-25)\/((-750)\/(-260)) is divided by c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - -0.5. Let s = 5 - 5.4. What is the closest to -2\/7 in 4, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5204728.113 - 0.4.\nAnswer: -5204728.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, v: 2, i: 5, g: 2}. Give prob of sequence igiv.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11031542413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8)*6 - (-582)\/18. Let d = g + -36. Sort 0.2, 1, d in descending order.\nAnswer: 1, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1403, -1401, -1397, -1391?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 5 (c) 0.3 (d) 1\/51 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 1 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(39) + sqrt(39))\/sqrt(3) + (sqrt(832) + 0 - sqrt(832)) + 1 - ((sqrt(156)*-1 + sqrt(156))*2)\/(sqrt(36)\/sqrt(3)*3).\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 5 - 2 + 4*u**2 + 4*u + 0*u**3. Let g be z(5). Let m be 5\/g*(-8)\/10. Is m greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -333*w - 9665. Determine b(-29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**2 - 4*p**2 + 6*p**2. Suppose -z - 4*z + 40 = 0. Let f(y) = y**2 + 4*y**2 + z*y**2 - 12*y**2. Calculate m(f(j)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830 a factor of 768277288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3566 - 3656. Which is smaller: -99 or g?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -44*q + 12. Let i(g) = 44*g - 13. Let y(z) = -6*i(z) - 4*v(z). List the prime factors of y(-4).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*g**2 + 501*f**3*g + 11*f**2 - 2*f*g**2 + 4*f*g - 2*g**2 - 16*g wrt f.\nAnswer: -6*f*g**2 + 3006*f*g + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 4*m + 2. Let x(c) = c**2. Let t(l) = -j(l) + 4*x(l). Let b be t(4). What are the prime factors of (0 - -3)\/3 - b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*h = 104*h - 512. What is the remainder when h is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 552*f - 805 - 619 - 1336. Solve u - 7 = 4*l - 22, -u - 19 = -f*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/79636690 and 57\/2.\nAnswer: 79636690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163706316?\nAnswer: 2, 3, 13642193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 120. Let f(x) = x**2 - x. Let j(o) = -6*o**2 + 2*o + 10. Let c(n) = d*f(n) + 3*j(n). Solve c(a) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*a = -513*a - 2*n, 10*a - 4*n = -16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10522*j**6 + 276*j**4 + 5*j**3*r - 2*j**2*r + 524*j**2 - 92*j*r - j - r - 8 wrt j?\nAnswer: 1262640*j**3 + 6624*j + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/11 + 18*w**3 + 1132*w**2\/11 + 1488*w\/11 = 0. What is w?\nAnswer: -93, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 3.17249328 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33503\/18 - 1869. Let b = -1\/3050 - -6254\/4575. What is the common denominator of z and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)*i**30 assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*i - 0*i. What is the common denominator of ((-10)\/(-6))\/(16\/i) and -91\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*n - 3*o + 243, -2*n + o - 109 = 0. Sort -0.2, n, -5, 5 in increasing order.\nAnswer: n, -5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-7) - 2\/7. Let s(f) = 3*f + 1 - 2 + 0. Let x(t) = 10*t - 3. Let b(w) = r*x(w) - 7*s(w). What is the first derivative of b(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29868*q**2 - 1 + 477*q + 29869*q**2 - 6*q**3 + 7*q**3 - q**4 to w*q + u*q**4 + a*q**2 + d*q**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from hjjjgggxxjkjjggkhkp?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40296 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211.79 - -209. Let b = -1.79 - -2. Let p = b - l. What is the nearest to -2 in 5, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 5 (b) -3 (c) 205 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 492.9, -13\/807?\nAnswer: -13\/807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*j**4*u**3 - 21*j**3*m + 9*j**2*m*u**2 - 2*j**2*m + 13*u**3 wrt j?\nAnswer: -384*j*u**3 - 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168422948?\nAnswer: 2, 42105737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 3, i: 1, r: 4}. Give prob of picking 2 r, 1 i, and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**7\/6 - 5*v**6\/4 - 2*v**5\/3 - 19*v**2\/2 - 26*v. Let g(l) be the first derivative of f(l). Find p, given that g(p) = 0.\nAnswer: -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3757, -16, -3, -2, 4, 2 in ascending order.\nAnswer: -16, -3, -2, 2, 4, 3757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102310041 + -4?\nAnswer: 102310032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*f**3 + 154*f**3 - 78*f**3 + (3*f + 7*f + 0*f)*(0*f**2 - 3*f**2 + 4*f**2) in the form t*f**2 + i*f**3 + s + d*f and give i.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5187821 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 + 267.02. What is the third smallest value in -0.5, l, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-30)\/8)\/(-9*(-8)\/(-5280))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -1859, 5, 1.6, -4.\nAnswer: -1859, -4, 1.6, 2.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 6 + 13 + 2*t**2 + 7 - 4*t**3 to r*t + s*t**2 + f*t**3 + h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 2, 304, 1, -16 in descending order.\nAnswer: 304, 91, 2, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9350\/19 - -492. What is the biggest value in -3\/2, -0.2, 3\/7, s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 28, -5 in descending order.\nAnswer: 28, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1658726*s**2 + 552925*s**2 + 552898*s**2 + 552906*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1074150 and 128898.\nAnswer: 3222450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-61360)\/(-56) - (-4)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b (base 12) in base 9?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -3227b?\nAnswer: 32275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 2:39 AM?\nAnswer: 494","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 86278\/14 + ((-9)\/(-7) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 12*v**2 - 11*v - 33. Is u(9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(234)*-1 - sqrt(234) - sqrt(234)))\/(sqrt(16)\/(sqrt(8)*-2) - (sqrt(2) - sqrt(2)*1*6))*6.\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -310097 divided by 1\nAnswer: -310097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**9\/30240 + l**6\/180 + l**5\/20 + 6*l**2. Let j(t) be the third derivative of w(t). Find the first derivative of j(z) wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210 + -310332230?\nAnswer: -311000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*b + 5*c, -5*c - 43 = -b - 15. Suppose 4*h - b*h - 3 = 0. Suppose h*m = 277 + 212. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + (-30)\/72\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105281?\nAnswer: 11, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22417*r**2 + 6871*r**2 + 276 - 274.\nAnswer: -15546*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, v: 1}. What is prob of sequence vx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -862 - -840. Which is the nearest to -3\/4? (a) -2\/5 (b) 3 (c) -4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(20)\/(sqrt(90) + sqrt(10)).\nAnswer: -4 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8825 is divided by 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28248\/53 - 533. Let m = q + -47\/318. Let i = -0.3 - 1.7. What is the biggest value in 1, i, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 40. Suppose -n - 22 = -5*h - 0*n, 5*h - g = 4*n. What is the remainder when 14 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -141.3. What is the smallest value in -3\/22, z, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3091\/60 + 146\/3. Find the common denominator of h and 37\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -5 - (-1)\/((-4)\/(-16)). Suppose 0*v - 2*v = x*v. Solve -2*r - 6 = 0, -2*a + 4*r - 2*r + 6 = v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j. Let y(r) = 1 + 11126*r**2 - 11131*r**2 - 3. Give f(y(z)).\nAnswer: 110*z**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 23*n - 31. Let w(t) = -t**2 - 9*t + 6. Let b be w(-8). Let p be f(b). Suppose -4*l + p + 9 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32706646 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156918224 take away 1.192?\nAnswer: 156918222.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63138 and 705?\nAnswer: 14837430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10798 + -3?\nAnswer: 10795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = 54*a - 143*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.5 - 65. Let n = -120 - z. Which is the nearest to -6? (a) 2\/13 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-27)*(x**(2\/5))**(-17) assuming x is positive.\nAnswer: x**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7110 divided by -395?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -1\/105*d**7 - 16\/3*d**3 + 0*d + 8\/3*d**4 + 2\/15*d**6 + 0 - 4\/5*d**5 + 2*d**2. Solve n(j) = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.86? (a) 7 (b) -1 (c) -0.03 (d) -5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by (-153)\/(-459)*5\/(10\/324)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/9*(66 - 14094\/180)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -193 * 138714\nAnswer: -26771802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = -0*u + 3*a, 4*u - 17 = a. Let y be 2\/u - (-36)\/10. Solve -2*j + 0 = y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 4. Let k be 5\/(5\/9) - 2. Let l be j(k). Let z(n) = 4*n. Let v be z(1). Calculate the highest common factor of l and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -135. Suppose -6 = b*c - c. Let y be (13 + 1 + -4)*c\/(-5). Solve y*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 3*k**2 + 0*k + 2*k**2.\nAnswer: 5*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11885 by 5.\nAnswer: -2377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 0*a**2 + 2*a + 0*a**4 + 5*a**2 - a**3 + a**4 to y*a**3 + r + b*a + w*a**4 + q*a**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*c - c. Let k(a) be the first derivative of a**3\/3 + 3*a**2 - 4*a - 4. Let v be k(-7). What is the highest common divisor of c and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -70224*w**2 - 10*w. Let n(r) = -r. Calculate n(k(b)).\nAnswer: 70224*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/11 and -51\/562?\nAnswer: 6182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 13143*b + 4777200.\nAnswer: 3*(b + 400)*(b + 3981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 822.\nAnswer: 822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -334, -230, -128, -28?\n\"Answer: -c**2 + 107*c - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465*y + 1559 = -2219 - 617 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 4794*o - 4795.\nAnswer: (o - 1)*(o + 4795)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**2 - 26*a**2 + 108*a**2 - 3*a**2.\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230039 and 265075?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57922736 - 57922736 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 5) in base 7?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 38, 74, 122, 182, 254, 338?\n\"Answer: 6*v**2 + 6*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 756. Let w = -1257 + -22. Let i = h - w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3401 - -2?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357 + -354. Sort 13, 2, p in increasing order.\nAnswer: 2, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 741 divide 996435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 33*s**2 + 5*s - 7. Is n(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g - 2*g)*(2 - 4 + 1)*(-7 + 5 - 1 - g).\nAnswer: -2*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 510 times -237.12\nAnswer: -120931.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/44365 and 29\/44365?\nAnswer: 44365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-84)*72\/(-42)*7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 57 = -3*n. Let s = n + -29. Calculate the remainder when 53 is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 500077500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 403*s + 71 = -408*s, 0 = 3*w - 4*s - 57 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h - 15*h - 54*h + 19*h as b*h + a and give b.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45661?\nAnswer: 7, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**2 + 6*g**2 - 4*g**2 to m*g + x + t*g**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1. Let i(k) = k**2 - k - 18. Let b(v) = 6*g(v) + i(v). Let t be (-1)\/((-4)\/32) - (16 + -18). What are the prime factors of b(t)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 - 2*v**2 + 24 - 6 + 4 + 20 as y*v**3 + a + g*v**4 + c*v**2 + n*v and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4764318 to the power of 1\/2, to the nearest integer?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-93)\/9*2\/(-1*10\/15)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/18 - (-11)\/((-33)\/(-12))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -481, -587, -695, -805?\n\"Answer: -s**2 - 103*s - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 6:29 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59032*x + 6399 = -58882*x - 3085 + 634 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 0) - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**2 - j - 6. Let n(l) = -30*l**2 - 3*l - 17. Let f(o) = -6*n(o) + 17*t(o). Find the second derivative of f(x) wrt x.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrkjdblrkjl. What is prob of sequence lk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 132.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 738.8 - 739. What is the second biggest value in d, 6, -26?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 - 1040*y**3 - 3195*y**2 + 6290*y + 8440 = 0. What is y?\nAnswer: -4, -1, 2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 55 = b, -5*b = z - 0 + 23. Let s(q) = -249*q - 2. Let f be s(z). Let p = f - 6550. Round p to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.176l in millilitres?\nAnswer: 391176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 6*h + h**3 + 7*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3436*k**2 - 2949*k**2 + 0 + 2068*k**2 + 0.\nAnswer: -4317*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 2, -3, 5.\nAnswer: -8, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 222 - 18*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/2)\/(147\/(-18)))\/((-618)\/(-721))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 + 346 = 3*f + 3*p, -4*p = -8. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 46*c + 148 = 0, -3*q - 3*c + 13 = -17 + 78 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.6. Let v = 0.1 + i. Let y = v + 0.9. Which is the nearest to 1\/3? (a) -2\/9 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(15)\/sqrt(5)))\/(-4*(sqrt(12) - (sqrt(12) - (sqrt(12)*-1 - sqrt(12))))).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/958 and -31\/16.\nAnswer: 7664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -25. Suppose -4*m + z*m = 4*y + 2, -3*m - 5*y = -1. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.39. Let d be (-6)\/(-3 + (-3 - -4)). Which is the biggest value? (a) u (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2523735.\nAnswer: 3, 5, 17, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.4 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)*-3*-5)\/(sqrt(110)\/(2*sqrt(11))))**2 + 3 + -5)*-1*2.\nAnswer: -19796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 2, 930, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t - 3381 = 32*t + 531. Sort t, 2, 1.\nAnswer: 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxtt. What is prob of sequence tk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000996263 to 7 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3272*a**2 + a**3 - a**4 - 9 - 3273*a**2 + 1 as k*a + q + x*a**4 + n*a**2 + s*a**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/19 + 24582*v**2\/19 + 295200*v\/19 + 885816\/19 = 0. Calculate v.\nAnswer: -6, 12303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729125, 729126, 729115, 729086, 729033, 728950, 728831, 728670?\nAnswer: 728461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -126*q + 507. Let y be l(4). Let d(n) = -n**3 + n**2 + 2*n - 4. Let u be d(3). Sort y, u, -1, -2 in increasing order.\nAnswer: u, -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodqqyqdqqqqq. What is prob of sequence qy?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 674?\nAnswer: 269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 53. What is the remainder when 52 is divided by m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7026498 a multiple of 1614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**6*j*j**(-1\/2)*(((j*j**(-2\/3))\/j)\/j)**46 assuming j is positive.\nAnswer: j**(-481\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915.01 rounded to the nearest ten?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0739217 litres to millilitres.\nAnswer: 73.9217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -151. Let g = -27 + 14. What is the fourth smallest value in v, 2, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h. Let z(o) = -86*o + 153*o - 218*o. What is w(z(t))?\nAnswer: 604*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.236 and 100.\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801683267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 896 - -14640. List the prime factors of v.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 9. Let l(k) = k + 2. Suppose -o + 91 = -5*n, -3*n - 85 = 2*n + 5*o. Give n*l(d) - 4*s(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 497 + -14. List the prime factors of s.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 31973418*o**4 - 31973421*o**3.\nAnswer: 3*o**3*(o - 10657807)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 >= 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13 + 4 - 7*q - 17. What are the prime factors of r(-11)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*a = -541*a + 1002*a + 6640 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - (-1 - (6 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 64. Suppose -3*h = -2*h - u. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(2736))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 825, 1267, 1701, 2121, 2521, 2895, 3237?\n\"Answer: -x**3 + 2*x**2 + 443*x + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.08 (b) -1795 (c) 15 (d) 0.1 (e) -3\/7 (f) 0 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 217? (a) -1.5 (b) 246 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzme when four letters picked without replacement from bebmzmmzmbmeb.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 6. Let v(m) = 1. Let o = 7 + -8. Let y(w) = o*h(w) + 5*v(w). What is y(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138520?\nAnswer: 2, 5, 28463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 11*m + 18. Let n be x(10). Let -7*o**2 + 3*o**3 - 12*o + n*o**2 - 6*o**2 + 3*o**4 - 7*o**2 = 0. Calculate o.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2440, -2441, -2444, -2449?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1708 and 5824?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39195 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -9 (c) -293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -96, -171, -276, -411, -576, -771?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212198 and 2898.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 486 + -214. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120155767?\nAnswer: 120155767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -31*p**2 - 2441*p - 1745. Calculate y(-78).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547000 rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7289164 is divided by 134982?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(1300) + -1 + -4)**2 - 4*sqrt(52)\/(sqrt(16)\/sqrt(4)*-3)).\nAnswer: -1326 + 296*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m\/m**(-1\/6))\/((m**(2\/7)\/m)\/m)**(-1) assuming m is positive.\nAnswer: m**(-233\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1874\/15 - -125. Let u(z) be the second derivative of v*z**6 - 1\/6*z**3 + 0*z**4 + 0*z**5 + 0 + z + 0*z**2. What is the second derivative of u(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -558 + 574. What is the nearest to 1 in 0.2, -2, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 13*x - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 6*g**2 + 14*g - 14. Let y be q(-8). Let p(o) = 179*o**2 - 358*o**y + 177*o**2. Let m(t) = -40*t**2 - 3. What is p(m(k))?\nAnswer: -3200*k**4 - 480*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 11*j**2 + 3*j**2 + 8*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(616) + sqrt(616) + sqrt(616))\/sqrt(11))\/(3*sqrt(8)*1) + (2*2*sqrt(84))\/(2*sqrt(12)*-1).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f + 2*z, -5*f - 5*z - 10 = -40. Factor 10*u**2 - 14*u - 1 + 6 - f.\nAnswer: 2*(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 - -75679412452.\nAnswer: 75679412452.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 200 = 9*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/8 - (7 - 4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -2\/21 (c) -4 (d) 188 (e) -271 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3472 + 1190 + 407*z + 8*z + 882*z + z**2 wrt z.\nAnswer: 2*z + 1297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*n**4*x**3 + 8*n**4*x - 3*n**2*x + n*x**3 - 20 wrt n?\nAnswer: -3768*n*x**3 + 192*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) + (-42)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005497347168 to six decimal places.\nAnswer: 0.005497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 250 = 18. Suppose -g*x - 21*x = -667. Suppose -6*k + 4*k = -82. Calculate the remainder when k is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1314, 2605, 3856, 5043, 6142, 7129?\nAnswer: 7980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 + 6*r - 6. Let a(f) = 9*f**2 - 11*f + 11. Let g(p) = -26*p**2 + 33*p - 33. Let y(s) = 11*a(s) + 4*g(s). What is -11*k(c) + 6*y(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 91. Let r = -234.5165 + 265.51753. Let h = m - r. Round h to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50758911569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1641079481 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -506357351*f**4 + 394020776?\nAnswer: -2025429404*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11781179\/51129 + -4378\/19. Is -1 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 5*g = -3*s - 3, 3*g = -4*s + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -4 + 0 + (sqrt(68) + 1 + sqrt(68))**2 - (sqrt(17) - (sqrt(17) + sqrt(1088)*-3) - sqrt(34)\/sqrt(2)*-4)**2.\nAnswer: -13059 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0*h**2 + 15*h**2 - 8*h**2).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1582 * 183674.\nAnswer: -29057.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-40626)\/(-17446) + 3\/11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 963?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -0.5 (c) -30 (d) 0.3 (e) 12.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*g - 3*g - 26 = 0, -3*g + 9 = -2*s. Let h = 10 - s. Let v = h + -1. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 - -12.71. Let w = -18.3 - -1.1. Let s = w + g. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-79113)\/30*11\/(-2). Let c = -14498 + v. Find the common denominator of c and 0 + (-19)\/10 - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280720833 + 19*i**3 + 280720833.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 608689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 359117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywwy when four letters picked without replacement from wyywwww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 351 - 64. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = -4*h, -3*y = -4*h - 18. Let l(j) = j - 4*j - 1 + y*j + 3*j. Let t be l(-1). What is the biggest value in t, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1089, -10633, -36543, -87003, -170197, -294309, -467523, -698023?\n\"Answer: -1364*y**3 + y**2 + y + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 403215 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 11*c - 51\/5*c**2 + 1\/50*c**5 - 3 - 13\/30*c**4 - 13\/3*c**3. Suppose q(h) = 0. What is h?\nAnswer: -3, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 - 23 - (1 + -32146) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let q(z) = 7*z**2 + 9 - 9 + z. What is q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182579\/18 - -10139. Let q = -70\/9 - x. Sort -3, q, -0.4, 1.\nAnswer: q, -3, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 30. Let d = 75 + g. Suppose 5*q - 51 = d. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10787587.\nAnswer: 10787587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82737?\nAnswer: 3, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from rrryryrrrrrryrrrrr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487.19 + 790.42. Let f = b + -302. Let z = 0.43 - f. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4\/2 + 432680*q**3 + 432685*q**2 - 432680*q - 865365\/2 = 0. What is q?\nAnswer: -1, 1, 173073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1320028315 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/13 - 824*q**4\/13 + 112608*q**3\/13 - 5027616*q**2\/13 - 10512288*q\/13 = 0. What is q?\nAnswer: -2, 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5*i - 3. Let x be t(4). Let s(c) = -c**3 - 16*c**2 - 57*c - 7. Let b be s(-5). Solve 4*m - b*u + x = -2*u, -3*u + 3 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 7*k**2 - 5. Give z(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60139861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245\/4 - -61. Let x = -24 - -24. What is the nearest to x in 2\/11, l, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -1, 5, -5, 23, -3, -4.\nAnswer: -34, -5, -4, -3, -1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17156, 2, -7 in increasing order.\nAnswer: -17156, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, 0, 340, 7, -2 in decreasing order.\nAnswer: 340, 34, 7, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -2, -74, -3 in descending order.\nAnswer: 6, 2, -2, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 2099?\nAnswer: 18891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1688879 rounded to four dps?\nAnswer: -0.1689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-303080)\/(-6))\/20*6\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**1))**49*(d\/d**(-1))\/(d**(-3\/4)\/d))\/((d**1)**(4\/21)\/(d**(1\/3)*d\/(d\/((d*d\/d**(-6)*d)\/d)*d))) assuming d is positive.\nAnswer: d**(-1067\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 207*t**2 + 4061*t + 1622. Determine n(185).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 44.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 35*h + 33. Let u(s) = -2*s - 12. Let d be u(-15). What is the remainder when 89 is divided by m(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17928 and 3984?\nAnswer: 35856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*y - 51 - 19, -74 = -3*i - 2*y. Suppose -4*m + 3*r = -228, -7*m + 4*m = -3*r - 168. Calculate the highest common factor of m and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:40 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(81)\/sqrt(3)*3)\/(sqrt(9) + (-2*sqrt(90))\/sqrt(10)).\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212210 rounded to the nearest 10000?\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -2492167\nAnswer: 18\/2492167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100100001101011011?\nAnswer: 100100001101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-16) - 2\/(-8). Suppose -i*q + 0 = -4. Is 1*-67*(q + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Suppose 2*f - 20 = -x*f. Suppose -f*c + 0*c = -270. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*o - 1)*(-o**2 + 1 - 1)*(25*o**2 + 6*o**2 + 8*o**2).\nAnswer: -156*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2920))\/((-3)\/(-2)). Let t = 86879\/13140 - s. Calculate the common denominator of 2242\/152 - (2 + -7) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - -991205.\nAnswer: 991205.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 0*p**3 + 14*p**4 - 3*p**4 + 0*p**3 - 24*p**4 + 2*p**3 as a*p**3 + g + q*p**4 + h*p + u*p**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11046 - -27816. Suppose 0*q = 5*q - l. Suppose -3*t + 2016 = 3*n, 0*t - 3*n = 5*t - q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-30)\/24)\/(((-54)\/60)\/(-9)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) + (-2)\/7. Let y(d) = 13*d**2 - 217*d + 6. Let m be y(12). Let o = -3629\/5 - m. Sort -0.12, o, n, -3 in ascending order.\nAnswer: -3, n, -0.12, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26 + -10 - (4 + -1). Suppose 130 = m*o - 26. What is the smallest common multiple of 20 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8161.\nAnswer: 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64358 + -0.5.\nAnswer: -1.14358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/2 + (-6870)\/229.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -37. Let q = -0.5 - 4.5. What is the smallest value in y, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/17)))\/(b\/b**(-9))*(b\/(b\/b**(-17)))\/b*b\/(b*(b\/(b*b**(-4\/3)*b))\/b*b*b))**(-40) assuming b is positive.\nAnswer: b**(59960\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*p = -26, -2*f = -0*f - 2*p - 14. Suppose 0 = -d + 11. What is the first derivative of -3 + 11*u + f*u**2 - d*u wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020254117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8401482*v**3 - 4378069.\nAnswer: 25204446*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 32. Let o be s(6). What is the third derivative of 12*v - 19*v**2 - 11*v - 3*v - o*v**3 wrt v?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from cmcqmwwqppec.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.081 > -0.044346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 3*z**2 - 5*z + 6. Let g(l) = 8*l**3 - 9*l**2 + 17*l - 19. Let a(t) = 2*g(t) + 7*v(t). What is a(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12694*k**2 - 495071*k - 7. Determine c(39).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m + 1. Let o be v(-2). Let t = 5 + -5. Suppose 0 = 3*b + 5*a - 10, 5*b + 3*a - a - 23 = t. Sort o, b, -5 in decreasing order.\nAnswer: b, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3821699*v + 520057?\nAnswer: 3821699","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58282497 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -90946.237 to the nearest 100.\nAnswer: -90900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24725402 is divided by 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11977321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**3 - 4*f**3 + 2 + 5*f**3 + 22*f**3 - 5*f**2 wrt f?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biibbbb. Give prob of picking 4 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 18. Let o(d) = -9. Let l(t) = 5*o(t) - 2*u(t). What is the derivative of l(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162735013 rounded to 5 decimal places?\nAnswer: 0.01627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d**3 - 486*d - 4387*d**2 + 268*d - 902*d**2 + 40*d - 704*d.\nAnswer: 3*d*(d - 294)*(6*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 divided by -393?\nAnswer: -665\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s. Suppose 0 = 3*k - 5*k - 4*d - 12, 2*k - 5*d = 33. Suppose 0 = k*x - 36. Let n(z) = -x*z + 0 + 10*z + 0. Give n(c(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Let d be (6\/(-2))\/(f\/(-6)). Suppose -5*n - v = -d*v - 500, -280 = -3*n - 2*v. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1879.83024 to the nearest ten.\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = y - 29 + 51, -3*y - 11 = 4*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 3*p - 4, 8*p = -3*a + 13*p + 26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*t**2 + 63*t**2 + 225*t**2.\nAnswer: -183*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5888\/14745 - -2\/2949. Factor j*u**2 - 4\/5*u + 2\/5.\nAnswer: 2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341.5 - -341.500885. Round f to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2038 in 0.5, 3, 219\/10?\nAnswer: 219\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(1\/3). What is the second derivative of x**2 + 4*x**2 - x - x**h - 10*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 + 7 = 0. Let b = l + 14. Let y = -11 + b. Put y, -2, -3 in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (115\/10)\/(1\/2). Let d = a + -35. What is the tens digit of 294\/4 + 18\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 4 = -2*s - 37*f, -5*s - 2*f + 14 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 90, -5 in descending order.\nAnswer: 90, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-13 - (2 + 3 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27992.6 * 6.\nAnswer: -167955.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + 1 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*x + 96*x = -p + 12, -x - 6 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9258 + 30731. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344*c*f**3*z**3 - 249*c*f**3*z - 2*c*z + 2*f**3*z**2 + 2*f*z wrt z?\nAnswer: 2064*c*f**3*z + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-2 + 0 + 0)*(-8 - 31 + 8)*(-4*a + 6*a - a).\nAnswer: 124*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -205053, 5, -7, -0.5, 0, 2 in ascending order.\nAnswer: -205053, -7, -0.5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5760547, 5760552, 5760557, 5760562, 5760567, 5760572?\n\"Answer: 5*f + 5760542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211782701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1112 = -13*t + 3568. Suppose 0 = -15*x + 25*x - t. 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: Calculate the common denominator of 1\/84 and 85\/60749514.\nAnswer: 121499028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -171 (b) -2\/27 (c) 2 (d) -5 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/336*(-12)\/(-15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999520, -1999039, -2998558, -3998077?\nAnswer: -4997596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*(sqrt(300) - (sqrt(300) + (sqrt(300)*-2 - sqrt(300)))) - (-4 + 0 + sqrt(300))))**2 + -5.\nAnswer: 86695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 17*i = 48. Let f be i\/(-9) + 69574\/6. Let a = -17595 + f. Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.673 + 5.666033. What is i rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 34 = 94. Suppose -y = -6*p + 2. Calculate the lowest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0 + 0*y**4 + 0*y + 0*y**3 - 1\/60*y**5 - 3*y**2. Let p(a) = 7*a. Calculate p(t(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077 times -0.10996?\nAnswer: -0.00846692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 27. Let k(j) = j**2 - 5*j + 3. What is the remainder when k(a) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00246560552 rounded to seven dps?\nAnswer: -0.0024656","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -84. Let w = -84 + 33. Let c = r - w. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3751.14 and -56.\nAnswer: -3807.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 5*r + 14 + 2662*r**2.\nAnswer: 2662*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1660885263 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (21 + -12 - 23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2468 = -4*f + 6*s, 5*s + 1575 = 2*f + 345. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k + 19. Let l be t(-2). Let y(q) = q**3 + 5*q**2 + 4*q + 4. Calculate y(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14133 - -0.19133. Let w = -1.7 - -2. Which is the nearest to z? (a) -2\/23 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46798742 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29547\/1123 or 25?\nAnswer: 29547\/1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:49 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixrzicl. Give prob of sequence ici.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47022?\nAnswer: 2, 3, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 10752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.89 + 1. Let z = -0.21 + 0.32. Let b = y - z. What is the closest to -2\/5 in 4, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by 6.\nAnswer: 239\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - 14\/(-4). Let o(i) = 2*i**2 + 11*i + 6. Let h be o(-5). Let x be 4*5 + 2\/(-2). Solve -s*r - x = h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26909232 and 2448?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 36 - 21)*(20*i - 1 + 1)*(10*i + 7*i - 6*i) as k*i + h*i**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7317 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffuuuf. Give prob of sequence ff.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -16 - 3 - 3 - (3662 - 3650)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18825 and -0.0559?\nAnswer: 18825.0559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3401*s = -3392*s - 99. Which is the fifth biggest value? (a) -5\/3 (b) 2 (c) 5 (d) s (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 - 3*o**2 - o. Let g(l) = -4*l**3 + 3*l**2 + l - 1. Give -2*a(p) - 3*g(p).\nAnswer: 2*p**3 - 3*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -255*x + 253*x + 6, 3*c + 4*x - 138 = 0 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/3 - 202531*g**2\/3 = 0?\nAnswer: -202531, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 34*d - 31*d. Let t = 6 - 4. Suppose t*z = -0*z. Solve 5*w - 15 = z, d = 2*j - 5*w + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23688 (base 10) to base 3.\nAnswer: 1012111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*j - 266. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, l: 4, i: 8}. Give prob of picking 3 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-18) + (-29)\/((-522)\/20) + 6. Which is the biggest value? (a) 0.1 (b) l (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -174 - 64. Calculate the least common multiple of r and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094365 is divided by 1295.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 106440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (144\/28)\/(33\/7623*-22)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 51 - (-2 + (-17 + 19 - (7 + 0)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1631 and 775607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3270.8 - 3271. Which is the third smallest value? (a) 4 (b) 0.05 (c) -2 (d) t (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b - 4. What are the prime factors of d(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.46 at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*q + 13, 4*u + q + 19 = 9*u. Is 0\/36 - (-64 - (-2 + u)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*q**3 + 1742147*q**2 + 44626365 wrt q?\nAnswer: 21*q**2 + 3484294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*q - 15 = 0, 0 = -0*j + 3*j - q + 9. Let p be (j - 1)\/((-30)\/4). Put -0.3, p, 1\/7 in decreasing order.\nAnswer: p, 1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -5, -2, -0.0075, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*s**5 + 2*s**3 - 5*s**2 + s + 7362 wrt s.\nAnswer: 3560*s**3 + 12*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5 in increasing order.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-8)\/192 + (-14)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -15 - (-5 + (21 - (7 + 5)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49638 is divided by 15549.\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40435 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((((-4)\/21)\/(12\/(-14)))\/((-72)\/(-648)))\/(-139)\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15441 = -972*t - 14691 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (sqrt(270)\/sqrt(40) - sqrt(27)) + (sqrt(36) - (sqrt(324) + sqrt(324)*-2))\/(sqrt(120)\/(sqrt(10) + sqrt(30)\/sqrt(3))).\nAnswer: 2 + 13*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118*f**2 - 4756*f\/5 - 288\/5.\nAnswer: -2*(f + 8)*(295*f + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-12))\/(2\/3). Let s = -1884\/65 + 382\/13. What is the closest to s in x, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.325 - 3.025. Let u = -1.2 + 0.2. Let r = 0.5 + u. Which is the third smallest value? (a) -0.2 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73, -99, -151, -235, -357, -523, -739, -1011?\n\"Answer: -d**3 - 7*d**2 + 2*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*d + 9. Solve -d = -p - p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhdklpakkhk. What is prob of picking 1 p, 1 k, 1 d, and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -290+-1924897\nAnswer: -1925187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40876 or -40878?\nAnswer: -40876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-66))\/((-10)\/(-55)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-11 + 14 - 6) - (20 + -4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -2872, -4305, -5738, -7171?\nAnswer: -8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -65. Suppose 3*l + 7 = y. Solve l*v - 25 = 7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*k + 10, -2*s + 0*k + 5*k = -15. Find the common denominator of -27\/5 and s\/15 - (-371)\/(-147).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3289 - 3308.957. Let c = 0.028 - 20.028. Let l = c - m. Round l to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/(-4))\/((-20)\/80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -301364019?\nAnswer: -301364022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 3*u**2 - 3*u + 4*u**2 + 50 - 10*u. Let k be z(-16). Suppose 0 = -3*g + 5*g - 8. Solve 0 = -3*a + k + g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Let h be d(0). Find the first derivative of 0*f + h*f - 7*f**4 + 3 - 3*f**4 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82968 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i + 4. List the prime factors of (i + (-2 - -14))\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a147 (base 13) to base 5\nAnswer: 1202243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffjyfffffjffjffjbjf. What is prob of picking 2 j, 1 y, and 1 b?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21577 times -0.01\nAnswer: 215.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-315))\/(4\/(-84)*-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -63*s - 42 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -98*t**3 - 2*t**2 + 3*t - 2. Calculate o(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (4 - 84) + -27 + 49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3854 is divided by 297?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/1*20\/15. Factor 0 + 0*f - 2\/3*f**q + 2\/3*f**3.\nAnswer: 2*f**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17049*b + 272754. Give n(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(117) + sqrt(117) + (1 + sqrt(117))**2*4 + 6*2*sqrt(117)*1)*5.\nAnswer: 330*sqrt(13) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 6*x + 268. Is -69 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q + 3. List the prime factors of s(7).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:25 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000258645935 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 32\/(-10))\/((-9)\/(-420)). Let s = o - -56. Solve s = -2*x - 2*i - 10, -20 = x + 3*x - 4*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4100513219 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4+-1406025\nAnswer: -1406021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 + 26589*i - 26589*i.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, -9, -1.\nAnswer: -361, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 4*x + 40. What is the units digit of x + (0 - 2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11*b**2 + 1 - 29 + 17.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2183 and 0.097.\nAnswer: 211.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcpp when four letters picked without replacement from pcptcccpcpc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - -1. Let b = -10 + o. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -53*v**6\/30 + v**4\/6 - 41*v**3\/6 + 28*v + 2. Find the third derivative of b(s) wrt s.\nAnswer: -1272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178346\/75 + 2378. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {e: 2, d: 10, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/520 - 2\/52. Factor 0 + z*t - 2\/9*t**2.\nAnswer: -2*t**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 5)*(2*b - 4*b + 5*b)*(-201 - b + 201)*(-4 - b + 4) to u*b**3 + p + s*b**2 + v*b and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028 and 465875208?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 greater than or equal to 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/9 + 12\/54. What is the closest to 1 in m, 2\/7, 1\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*l = c - 213*l - 10, -4*c - 4*l - 20 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407 and 27214.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z - 5*l - 17, -4*z - 3*l = 7. Solve -5*v - 6 = -4*n + 6, -4*v = -z*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 137*r - 33.\nAnswer: 137*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2. Let m(g) = -g**2. Let l(p) = -3*c(p) + m(p). Let i(j) = 3*j**2. Let r(q) = 4*q**2. Let b(d) = 5*i(d) - 4*r(d). What is l(b(h))?\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3357 is divided by 668?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/11 + 18780*d**2\/11 - 583662*d\/11 + 376840 = 0. What is d?\nAnswer: -9421, 11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*y = -45*y - 41477173. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14355904 + 8527?\nAnswer: 14364431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 6*q + 2. Let u be r(5). Let p = u + -9. What is the common denominator of (1 - (-129)\/24) + p and 93\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1001 and 121?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 47329273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108.834 and -4?\nAnswer: -435.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 12*i + 4 - 6.\nAnswer: 12*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967353528 a multiple of 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202 and 18\/7*13\/(-117)*336\/(-8).\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*h - 1071195 + 1061486 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(13\/5)\/m**16 assuming m is positive.\nAnswer: m**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2464 - 836. Is h a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let r(u) = 26*u + 7. What is r(h(n))?\nAnswer: 52*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 146372891 to the power of 1\/2, to the nearest integer?\nAnswer: 12098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1527937387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/874941?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5633*t**2\/2 + 8825. Let g(o) = -2*o**2. Determine g(s(a)).\nAnswer: -63461378*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(2)*-2 + sqrt(26))\/(4*sqrt(288)).\nAnswer: -sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 2*h + 32. Let x be g(4). Sort 2, 10, x in descending order.\nAnswer: 10, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/8 - 0). Suppose 0 = 15*k - 17*k + 4. Suppose b - k*s = 12, -3*b - 4*s + f = -3*s. Solve r + b = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 4*b**2 + 3*b + 1. Let f(n) = -n**2 - n - 1. Let p(w) = 4*f(w) + z(w). Let y be p(2). What is y rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059918?\nAnswer: 2, 3, 283, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 5. Let d be q(4). What is the common denominator of (-23)\/(-5) + d\/(-2) and (-3663)\/180 + 10 - (-1)\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 - z**5\/12 - 7*z**4\/24 - z**3\/3 - 6*z**2. What are the prime factors of g(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6076, -24100, -54138, -96196, -150280?\n\"Answer: -z**3 - 6001*z**2 - 14*z - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*1\/(2\/(-1056)). Suppose -8*w - a = -11*w. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrwcbew. Give prob of sequence wmrc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*(i\/(i*(i**(1\/2)\/i*i)\/i*i))\/i)\/(((i*i**(-4)*i*i)\/i*i)\/(i\/(i*i*i\/(i\/(((i*i\/(i*i**(-7)))\/i)\/i))))) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/20 + 25*x**4\/12 + 9*x**3 + 17*x**2 + 3*x + 4. List the prime factors of h(27).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*z**2 + 426*z**2 - 924*z**2 + 4*z.\nAnswer: -1118*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167312 and 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = -5*b, b = 5*u - 77. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*m - 1356 - 6380 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -25*s - 46. Determine a(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035634774 rounded to five decimal places?\nAnswer: 0.00356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-4)*(y*y**(-1\/3)\/y)\/y*y)\/(y\/y**(-1\/5)*y**0) assuming y is positive.\nAnswer: y**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 + 47*b**2 + 2495*b + 193. Calculate d(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1764 + 31775\/18. Find the common denominator of g and 155\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 81 and 1237\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 8:08 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-4\/33)*m**5\/m**(-2\/15))\/((m\/((m*m*m**10*m*m)\/m))\/m*m*m**(3\/4)*m)**(7\/2) assuming m is positive.\nAnswer: m**(4921\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 2, y: 3, b: 1}. What is prob of sequence yz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - 7\/30. Let p be (-17 + 77)*2\/6. Let n be (-2)\/(48\/p - 2). Sort m, n, -1\/8.\nAnswer: n, -1\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 373741*b*y**2 + 31*b*y + 25*y**2 + 19127*y - 1 wrt b?\nAnswer: 373741*y**2 + 31*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 4*u - u + (3*u + u - 2*u)*(4 + 1 - 4) - 2*u + 3*u + 0*u + 29000 - 1953*u - 29000 + u - 3*u + 4*u + (-1 + 1 - 1)*(4*u - 4*u - u).\nAnswer: -1949*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 + 7 = 0. Let c be h\/2 + -4 + 2. Let v = 3 - c. Solve w + 2 = v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1940594 and 2.\nAnswer: -3881188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 326*d**2\/3 - 6601*d + 4860.\nAnswer: (d - 60)*(326*d - 243)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, s: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9582?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-350)\/(-105)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 8*d**2 - 7*d + 2. Let z be p(-7). Differentiate 4 - 8*m**z + 0 - 6 wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00091171 rounded to 5 dps?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 4.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51\/2*(-4)\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/5))**(26\/7)*o*o**(-4)*o**0)\/((o\/(o**4*o)*o)\/(o*o**(-1\/6)\/o*o))**(1\/7) assuming o is positive.\nAnswer: o**(-47\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:07 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20.2 * 0.142\nAnswer: -2.8684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 2, f: 4, m: 3}. What is prob of picking 1 t, 1 z, 1 m, and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6879a7 + 9?\nAnswer: -68799b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -305346782*i**3 + 199248872?\nAnswer: -916040346*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5699666 divided by -1\nAnswer: -5699666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7289 divided by 197?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -11113*c - 7685. Is w(-67) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5775010.\nAnswer: 2, 5, 271, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1019611?\nAnswer: 4\/1019611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsww when four letters picked without replacement from {z: 4, s: 8, w: 5}.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.82 - -8.82. Put p, -0.1, 1, -14\/85 in decreasing order.\nAnswer: 1, p, -0.1, -14\/85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/3 - 75818*j**3\/3 - 239502742*j**2 + 718735690*j\/3 + 1437168100\/3 = 0. What is j?\nAnswer: -18955, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 15. Let a(p) = -t + p**2 - 28 + 58. Let i(o) be the second derivative of 11*o**3\/6 + 2*o. What is i(a(r))?\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -3. Let k = v - 3. Solve x + k*x + 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*6\/(18\/93). Suppose 217 = u - m. List the prime factors of u.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*r + r - 10, -5*r - 44 = -3*o. Let g(u) = -2*u - 32. Let b(c) = -5*c - 63. Let z(d) = -3*b(d) + 5*g(d). What are the prime factors of z(o)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(2\/7)*i)\/i)\/i*(i**(-2\/7)\/i)\/i)\/(i\/i**(-2\/13)*(((((((i*(i*i**(-2\/9))\/i)\/i)\/i)\/i)\/i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(476\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31514365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.377 to 1 dp.\nAnswer: 109.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y - 113. Determine l(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 26 - (-3 + 28 + -6 + (-2 - 9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 110 = 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*k + 33, -5*i + i = k - 22. What is the remainder when ((-2)\/4)\/(k\/(-160)) is divided by 4\/((-8)\/(-6))*(-6 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 - 2*s + 3. Let o be m(-3). Suppose q - 3*f + 10 = 0, 2*f + 0 = 5*q - 2. Which is smaller: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/4 + 1\/4*u**3 - 1\/4*u - 13\/4*u**2.\nAnswer: (u - 13)*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 6*a + 11. Let m be d(-7). Put 5, m, 2, -4 in decreasing order.\nAnswer: 5, m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i. Suppose -4*f + 4 + 4 = 0. Let s(t) = 4*t**2 - 4*t**2 + t**2 - 3*t**f. Determine s(l(q)).\nAnswer: -648*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10158 by 6.\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -93796 greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*i = 59784 - 51502 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 620 + 4*a - 2*a**2 - 4*a.\nAnswer: -14*a**2 - 620","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 253116?\nAnswer: -253105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeeeueeueeuueuume. What is prob of sequence eu?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*t - 792 = -98*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence air when three letters picked without replacement from iaaiarrraairiiz?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 6:37 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 18. Let o be y(0). Suppose -4*k - o = -3*z + 28, 4*z - 5*k = 60. Let f = z + -8. Solve -5*u - x - 19 = 0, 5*x - 13 = f*u - 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let r = p + -11. Let k = -7 - r. Which is the second biggest value? (a) 2\/3 (b) -1\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3845 or 3905?\nAnswer: 3845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/60 + 277*f**5\/20 - 1345*f**4\/12 - 712*f**2. Find the second derivative of c(g) wrt g.\nAnswer: 12*g + 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 21*q**2 - 215*q + 324. Calculate j(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x + 142 = 2*v, -5*v = -4*x - 355. Suppose v = 3*p - 58. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u + 22. Let y(z) = z**3 + 22*z**2 + 2*z + 44. Let a be y(u). Sort 1\/4, 2, a in ascending order.\nAnswer: a, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.089463 times -0.02?\nAnswer: -0.04178926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 20*b**2 - 236*b + 680 = 0?\nAnswer: 5, 34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68.8 - -69. Let x = 1 + -1.3. Which is the nearest to -1\/2? (a) x (b) 2\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**5*n*n))**(-2\/131) assuming n is positive.\nAnswer: n**(12\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340768)\/26726 + 12 - 175\/(-245)?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let y = -2.715 + -0.225. Let q = y + -0.06. What is the closest to 2\/7 in i, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249742943?\nAnswer: 3, 138860327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**2\/2 - a + 9. Let t(o) = -3*o - 4. Let s = 2 + 3. Calculate s*u(j) + t(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(29 + -34)*212945*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**3\/3 + 4*j**2 + 2*j + 1. Let v be d(-4). Solve 3 + 3 = -2*k + h, -3*h = 2*k - v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c - 30. Calculate g(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogooqzfggfgugogooq. What is prob of sequence qfq?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfiaicarwiiiwcacci. What is prob of sequence cwfi?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 + 21*j + 39. What is the hundreds digit of q(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 45*h. Let v(s) = -s - 552316. Determine v(u(w)).\nAnswer: -45*w - 552316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*n - 8*n. Let i be (-1 + n)\/(2\/8). Which is the biggest value? (a) i (b) -1\/7 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - c = 25, -2*c + 0*c + 10 = -4*x. Sort -23, x, -4 in increasing order.\nAnswer: -23, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148415310.\nAnswer: 2, 3, 5, 1649059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hziu when four letters picked without replacement from {i: 1, l: 1, u: 1, h: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -52*p**4 - 476*p**3 + 2008*p**2 + 2816*p + 384 = 0.\nAnswer: -12, -1, -2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 11) to base 12\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-18)\/94) - (-6)\/(-27). Let t = 0.3 - -0.7. Which is the nearest to 2? (a) r (b) t (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1284 = -4*h, 3*h + 13*x - 11*x = 960. Let a = -635\/2 + h. Factor -2*d - a*d**3 + 0 - 2*d**2.\nAnswer: -d*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21510, -21507, -21504, -21501, -21498, -21495?\nAnswer: -21492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515022799?\nAnswer: 4241, 121439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7491.706 centuries?\nAnswer: 749.1706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6610 + -6597. Which is smaller: y or -5.28?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10429968 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281\/3 + 16561\/177. Suppose 4 = r, 3*t - 4*r = -11 - 2. Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/(28\/544))\/2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 = 8*z + j, 3*j = z - 2*z + 5*j - 34 - 1 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/64378 - -1159111\/19764046. Let h = -17011\/2149 + b. Find the common denominator of 87\/132 - (-3)\/12 and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(252) + sqrt(14)\/sqrt(50))**2.\nAnswer: -124*sqrt(7)\/5 + 6827\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 751*1\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4, 2*d = -g + 32. Let j(o) = -9*o**3 - 4*o**2 - 2*o + 6. Let u be j(-2). Let y = u + g. Calculate the greatest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + -5*(5 + -1*sqrt(448) + 4 + 1))**2.\nAnswer: -4000*sqrt(7) + 13700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102.5 + 102. Let i = 4.76 + -5. Let u = i - -0.04. Which is the second biggest value? (a) h (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.2. What is the third biggest value in 0.5, -2\/15, o?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11604389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*w - 2*y + 4, 0 = -3*w + 5*y + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a + 5*i - 73 = 37*a, 3*i = -0*i - 3 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3055*p - 3059*p + 1495*p**2 - 18*p**2 + 0 - 2*p**2 + 0 + (5*p - 2*p - p)*(0*p - 2*p + p) in the form x*p + o*p**2 + a and give o.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 2, j: 1, s: 1}. Give prob of sequence us.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4266*i - 4263*i - 1836 = 0. Calculate the highest common factor of 85 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.01?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/9 + 69\/9*14\/(-28). Let o = -0.1 - -0.4. Which is the second biggest value? (a) -0.5 (b) o (c) -4\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = -16. Let r(s) be the first derivative of -s**4\/4 - s**3\/3 + 13*s - 3. Calculate the remainder when r(0) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (6 - (-10 - -13)) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4217, 16875, 37971, 67505?\n\"Answer: 4219*w**2 + w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52645 is divided by 4386.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 112 + 13 + 0*u**2.\nAnswer: 3*u**2 - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtthmnmtmrhtnvv. Give prob of sequence ttnv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 7 - 3*w + 7*w to j + t*w and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627761511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:04 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - 1) + -3 + 46 + -38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*j + 4*h - 8*h, -6 = 2*h. Suppose -b - 832 = -4*u + 3*b, -5*u = j*b - 1016. What are the prime factors of u?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/4 + 35*n\/4 - 25\/2.\nAnswer: -5*(n - 5)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-396)\/(-715) - 30\/195. Which is the closest to -1? (a) l (b) 0.17 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 0*p**2 - p**2 + (5*p + 0*p - 3*p)*(0*p + 4*p - 3*p) + (-3 + 7 - 2)*(-2*p**2 + p**2 + 2*p**2) in the form w + i*p**2 + n*p and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + sqrt(153)\/sqrt(225) - -6*sqrt(68)\/(sqrt(216)\/sqrt(6)))**2.\nAnswer: 28577\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:46 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93\/7 - 13. Let l = 2.7 - -0.3. Let y = l + -2.8. What is the smallest value in 4, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 + 0.608?\nAnswer: -1.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24850 and 118144?\nAnswer: 20675200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 2*s + (-1 + 2 + 1)*(26*s - 64 + 64) to the form t*s + m and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -222 times 14364\nAnswer: -3188808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-10)*10\/15*110*30\/(-20).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -14*t - 4*r - 980, -4*t + r = -995. Solve -d + 256 = t for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 63 + 3*i + 62)*((2 + 0 + 0)*(-3 + 0 + 1) + 3 + 4 - 6)*(79*i**2 - 1042*i + 1042*i) to the form o*i + w*i**3 + a*i**2 + z and give a.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 1. Let f(q) = -q**2 - 1. Let n be f(2). Let m be h(n). Let w(u) = -u - 1. Give w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1)\/3 - (-182)\/39. Let s = o - -3. Solve -5*d - s - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 - 10*a**2 + 7*a + 7. Suppose -17*p = p - 90. Let l(f) = -3*f**3 + 7*f**2 - 5*f - 5. Calculate p*i(v) + 7*l(v).\nAnswer: 4*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*v + 2292. Let r = v + -614. What are the prime factors of r?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -15 - (553 + -508)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, 2, 4\/5.\nAnswer: -0.36, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 451, 688, 921, 1144, 1351?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 + 21*k - 100. Let q(o) = -24*o**2 - 64*o + 297. Calculate 7*a(c) + 2*q(c).\nAnswer: c**2 + 19*c - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4590 = -3*q, 2*q = 2*a + 1337 + 1723. Suppose l + q = 5*s - 0*l, -2*s - 3*l + 595 = 0. What are the prime factors of s?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 1. Let c(o) = -50*o + 6. Calculate -c(m) - 4*h(m).\nAnswer: 38*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**3 - 11 - 5 + 16 - 14*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.0128 + -57. Round z to four dps.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 21072.4\nAnswer: 63217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6208435907 to the nearest integer?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/44286564 and -67\/252?\nAnswer: 132859692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9*14\/35)\/(6\/40). Calculate the smallest common multiple of v + 24 + -1*(0 + -7) and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -6)\/(((-55)\/66)\/((-10)\/8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17755681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 6*n**2 + 8*n + 6. What is the remainder when h(6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*k - 31 = 0, 0*y - y - 3*k = 1. Let v = 10 - 6. Which is the third smallest value? (a) v (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6750)*27 - (230\/(-250) - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22754, 22738, 22704, 22646, 22558, 22434?\nAnswer: 22268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(198) - sqrt(198))*-6)\/(-3*1*sqrt(6)))\/(((sqrt(30) - sqrt(480)*-1) + sqrt(30))\/(sqrt(640)*1)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -4)*-1*-18. What is the smallest common multiple of 2 + 318\/27 - 4\/l and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - d + 0 = -6, 3*d = 6. Which is bigger: u or -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628*b**2*z**3 - 64*b**2*z**2 - 61*b**2 + 2*b*z**3 + b*z**2 - 14*b*z + z**3 - 10*z - 679 wrt b.\nAnswer: 1256*z**3 - 128*z**2 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4214142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4353 is divided by 552 - ((-96)\/12 + 15 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4109 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9482 and 66602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/27 and 65\/23871.\nAnswer: 214839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 22 = 5*k - 2*s, 2*s + 8 = -k. Sort 33, -6, k, 3 in ascending order.\nAnswer: -6, k, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1878 from -0.08.\nAnswer: -0.2678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -65. Let p(x) be the second derivative of x**5\/20 + 5*x**4\/4 + 8*x**2 - 6*x. Does 16 divide p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 30 = -v - 2*h, 3*v - 30 = -4*h. Solve 2 = g + 4, 0 = -4*k - 3*g + v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 12*r - 48. Give n(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/42 - 24\/14) + -25 + 11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1925600 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 235*u**3 - 2*u**2 - 6*u. Let c(j) = -1174*j**3 + 11*j**2 + 30*j. Give 2*c(w) + 11*x(w).\nAnswer: 237*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9705 divided by -4342\nAnswer: 9705\/4342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 2*m**4 - 40*m**2 + 2*m + 50*m**2 + 2 in the form g*m**3 + v + p*m**4 + b*m**2 + x*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 5*v**4\/3 + 13*v**2\/2 + 4*v - 445. Let z(b) = -14*b**2. Calculate z(m(j)).\nAnswer: -5600*j**4 - 7280*j**2 - 2366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*r + 12, 2*r + 0 - 12 = 3*i. Let c = -7 - i. Is -2\/11 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 32. Suppose -b + 12 = 2*p. Solve p*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-6)*(1 + (-5)\/(-10)). Let c(z) = -4*z - 8. Let y(g) = -3*g - 7. Let w(j) = -4*c(j) + 5*y(j). Give w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/17)*a**(-2\/37)\/a*(a**(8\/7)*a)\/a**(3\/2) assuming a is positive.\nAnswer: a**(-5175\/8806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(8) + 1 + sqrt(8) + (-1 + sqrt(512))**2).\nAnswer: -56*sqrt(2) + 1028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 1\/2*c**2 - 3 + 0*c. Let k(m) = 7*m**2 + 5*m. Let q(d) = -4*d**2 - 3*d. Let t(s) = 3*k(s) + 5*q(s). Determine r(t(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-7)\/(-35))\/(2\/30). Factor 4\/9*t**s + 0 + 2\/9*t**2 + 2\/9*t**4 + 0*t.\nAnswer: 2*t**2*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 694*p + 11931. Calculate a(-17).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-56)*-2 - 22\/(-40). Find c such that -4\/5*c - 1\/5*c**2 - s = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*4\/52?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:27 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 165, 263, 361, 459?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79617 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: Which is the closest to -102? (a) 0 (b) -153 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-9)*6)\/1. Suppose -2*s - 75 = -3*j - r*s, 0 = -3*j + s + 84. What is the highest common factor of 189 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -214\/3. Let i = a - -5\/6. What is the common denominator of i and 27\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.86 - -5.352. Round s to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3011, -4871, -6605, -8153, -9455, -10451, -11081?\nAnswer: -11285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. Let t be (-12)\/(-9)*(-3)\/h. Let n(v) = 2*v**3 - v**2 + 2*v - 2. Let i be n(2). What is the greatest common divisor of i and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*s + 46, 3*k + 98 + 40 = -4337*s + 4339*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**3 - 195*c**3 - 147*c**3 + 82*c**3.\nAnswer: -293*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5)\/((-4)\/(-10)*5)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/18 + c**3 + 10*c**2\/3 + 8*c. Determine r, given that n(r) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:51 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 11*g**2 + 10*g + 9. What is j(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v + 1. Suppose -6*j + 12 = -2*j. Let f be 5 - (j + -5) - 3. Suppose 5*d = 3*d + f. Let w(k) = 2*k**2 + 3*k + 2. What is d*w(t) - 6*y(t)?\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35280*h + 89848 = 36158*h + 18730 for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -573? (a) 3 (b) 4\/35 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**8\/504 + 19*z**6\/180 + z**5\/3 - 3714*z**2. Let b(f) = 0. Calculate f.\nAnswer: -3, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/114)\/(-15)*1?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.2 in 0.28, 1\/5, 2\/7, -275, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 725323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*k - 39. Let b = 218 - 214. What is the biggest value in b, 1, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(170) + 3*sqrt(170)*3 + sqrt(170))*4)\/(sqrt(10) + sqrt(1000) + sqrt(10) - (sqrt(10) + sqrt(10) + (sqrt(60)\/sqrt(2))\/sqrt(3))) + 4.\nAnswer: 8 + 44*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1617*d**2 - 8223*d - 719. What is c(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.5, 543, -245, 3\/8, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -147\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1528*n - 2 + 3867*n - 2084*n.\nAnswer: 255*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**8\/3360 + h**7\/315 + h**6\/90 - h**4\/9 - 5*h**3\/3 - 6*h. Let m(j) be the second derivative of y(j). Factor m(l).\nAnswer: (l + 2)**3*(3*l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-10 + 2)) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 10:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.274012 meters to kilometers.\nAnswer: 0.002274012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802.6951 rounded to the nearest ten?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -374 + 541. Let o = z - 140. What is the remainder when 97 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 282 = 3*u - 254, 5*j = -3*u - 25 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398*u**2 - 2*u**4 + 5*u**4 + 10255*u**3 - 5054*u**3 - 5044*u**3 wrt u?\nAnswer: 72*u + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 4 + sqrt(76) + 1 + 2)**2.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6\/59, 1, 5?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93720, 184302, 274892, 365490, 456096, 546710, 637332?\n\"Answer: 4*h**2 + 90570*h + 3146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14200\/(-350))\/((-176)\/308)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 + 6*m + 4. Let v be n(-6). Let w(l) = v*l - 3 - 4*l + l. Let y be 14*(-870)\/(-420) + -35. Calculate w(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**2 + 3*m**2 + 10*m**2 - 14*m + 16. Let n be h(13). Suppose -g + g = -n*g. Solve g = b + 4 - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/9984521?\nAnswer: 2\/9984521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 65*i.\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k - 1. Let f be t(-1). Suppose -23 = -4*q - f. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20f7a1 (base 16) in base 15?\nAnswer: -2ca265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 80 = -215. Solve -p*z = -31*z - 80 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a1 (base 14) to base 2\nAnswer: -101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.3 (c) -1\/3 (d) 1206\/11 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by (1*(-3690)\/10)\/(-3).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**3 - 2*j**2 + 2. Suppose 0 = -3*g + 480 - 132. Let a(d) = -1 + d - 4 + 5*d**2 + 107*d**3 - g*d**3. Calculate -2*a(y) - 5*x(y).\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10584 and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50544 (base 7) to base 12.\nAnswer: 7136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -351\/4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2, 4*a = 3*d + d + 12. Suppose 4*x + 16 = 0, 4*x + 2 = -4*r - a. Solve 2*v = 5*i - 9, v = i - 0*i - r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o + 7. Let p(b) be the first derivative of b**3\/3 - 22*b - 9. Let q be p(4). Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 7}. Give prob of picking 1 r and 1 g.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 181. List the prime factors of c.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 4319331.\nAnswer: 4319331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/35 - -10\/7. Let j(t) be the first derivative of n*t**2 - 2\/15*t**3 + 2\/5*t - 1\/10*t**4 + 1. Suppose j(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310757384 to the nearest integer?\nAnswer: 17628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18434731 and -0.06?\nAnswer: 1106083.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 17 (c) 1.4 (d) -0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11008*u + 11005*u - 9, 21*s = 5*u - 90 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290898070 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*q**3 - g**3*q + 2*g**3 - 40*q**2 - 1 wrt q?\nAnswer: -6*g**3*q - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 1048.26?\nAnswer: 1046.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27)\/((-13)\/(-13)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-4)\/(-18)). Let z be 1\/2*12\/b. What is the highest common divisor of 6 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k - 6. What is the tens digit of v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 3*c + 4*c**2 + c**3 + 5*c**4 - 2*c**3 - 2 - 6*c**4 in the form p*c**2 + q*c**3 + d + f*c + l*c**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 46, 29, 10, -11, -34, -59?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6 + 0*l - 5 + 2*l**2 - l**2 + l. Let k(j) = -2*j**2 - 3*j - 3. What is 2*k(q) + 6*r(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-2)\/(-12) + (7975\/(-6))\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**8\/40320 + u**7\/1260 + u**6\/90 - 7*u**5\/60 + u**2. Let g(m) be the third derivative of c(m). Find v such that g(v) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*j**3 - 2)*(-j - 729*j - 967*j).\nAnswer: -3394*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Which is greater: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 5, o: 4}. What is prob of sequence oooy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 70 = 3*b, 18 + 7 = -5*d. Let w(n) = -n**3 - n + 2. Let a be w(0). Suppose 66 - 30 = a*i. What is the smallest common multiple of i and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**3 + 7*g**2 - 2*g - 12. What is the units digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42444 (base 5) to base 8.\nAnswer: -5472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -72.98667\nAnswer: -437.92002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, e: 10}. What is prob of sequence uue?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274\/2 + 0\/2 is divided by (1007\/57 - 18) + (156\/9 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35441508, 35441507, 35441506?\n\"Answer: -o + 35441509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*q - 68 = 0, 5*i - 30 - 55 = 5*q. Suppose o + 160 = i*o. Solve 0 = j - 6*j - o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 4*l**3 + 3967*l - 60*l**2 + 2*l**3 - 3912*l.\nAnswer: 5*l*(l - 11)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = 11*m + 57. Let k(a) = 42 - 113 + 34 + 50 - 9*a**m. Let i(f) = 4*f**3 - 6. Give -7*i(g) - 3*k(g).\nAnswer: -g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4380, -19736, -49348, -96504, -164492, -256600, -376116?\n\"Answer: -548*d**3 - 3840*d**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84901 is divided by 267?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 31 = 3*c + 11, -4 = -4*c + b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.1 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 12, 5*w - w = -4*p + 28. Sort 3, 5, -5, w in descending order.\nAnswer: w, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 24*q - 63*q - 296 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -805ba6 (base 13) to base 16\nAnswer: -2d859c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -6\/17 in descending order.\nAnswer: 1, 0.4, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a - 38. Let o be m(-4). Suppose 20 = b - 5*q - 141, o*b - q - 313 = 0. Suppose -b = -w + 36. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 3*i - 6. Let j be m(-4). Find the third derivative of 78 - j + 15*c**4 - 16*c**2 wrt c.\nAnswer: 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1783, 3525, 5245, 6937, 8595, 10213, 11785, 13305?\n\"Answer: -u**3 - 5*u**2 + 1764*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*c = 3*c. Suppose c = b - 4*r - 770, -2*r - 406 = -b + 368. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/48*((0 - 2\/(-8)) + (-46)\/1288)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -26*t + 26*t - t**2. Let j be c(0). Let w(m) = 2 - 6 + 2*m + j*m - m**2 + 2*m. Give w(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3416225.\nAnswer: 1\/683245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 + -15833.\nAnswer: -16297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -249, -381, -517?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:20 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 987, 2096, 3335, 4692, 6155, 7712?\n\"Answer: -2*d**3 + 77*d**2 + 892*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1470190 and 1580?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99353*p**2*s + 5*p**2 - 3*p - 183 wrt s?\nAnswer: 99353*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333012721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/29 in 52, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6781, -6786, -6791, -6796, -6801, -6806?\nAnswer: -6811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37380677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:59 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/27, 1.106, 4, -7\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-148)*(-2 - 0). Is a at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -22, -18, -2, 32, 90, 178?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 697*v**2 - 2072*v - 55. Determine g(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 71.79128.\nAnswer: -7.179128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -9*f. Let a(c) = -6*c. Determine s(a(u)).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five halves of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37580903 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.159641 rounded to 2 dps?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 84?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3\/7 - 4516*j**2\/7 - 181120*j + 3844272\/7 = 0?\nAnswer: -566, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6258007669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. What is the third derivative of -a**2 + c*a**4 + a**4 - 6*a**4 - 2*a**4 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118333132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8075\/9 - 897. Which is the nearest to z? (a) 8 (b) -0.2 (c) -1\/2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*w + 9 = 0, 0 = -4*t + 5*w - 15 + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - ((-10 - 17) + 24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + n**3 - 3*n**3)*(n + 3 - 3 + (2 + 3 + 0)*(5 + 2*n - 5) - n - 3*n - 5*n).\nAnswer: -4*n**4 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101312111 (base 5) in base 3?\nAnswer: 210011101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**16*z*z**3 assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5202757*s - 25 = 3*t + 5202759*s, t + 3*s + 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:03 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlq when three letters picked without replacement from xxlooqxtoqooqqb?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 7 + -2 - (-20 + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -36. Let o(i) be the second derivative of -2*i**4\/3 - 7*i**3\/3 - 2*i. Let y(v) = -3*v**2 - 5*v. Determine z*y(u) + 5*o(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -33. Suppose 0 = 5*s - 112 - c. Suppose 0 = 5*z - z - s. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 14. Let p = -44 + 26. Let o be m\/p*(1 - -2). Solve -2*d - 7 = -o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 4. Suppose 3*z = 2*z + 4*z. Let l be b(z). Put 0, l, -11 in descending order.\nAnswer: l, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1079.93979 + 0.06021. Let w = 1080.10560087 - 0.16030087. Let u = w - s. What is u rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4077*s = 3694*s + 9192 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 + -1.7. Let r = -1.3 + 0.3. Are r and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(100) - sqrt(100))\/sqrt(5))\/(1*sqrt(4)*3).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6176*q**2 - 3143500*q - 42756.\nAnswer: 4*(q - 509)*(1544*q + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 971241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let x = 11 + i. Let l be x + -11 + (-2)\/4. What is the closest to 0.1 in 1, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/9 - 3*l**2\/2 - 6*l - 714. What is u in v(u) = 0?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*k*n**3 + 4*k*n**2*r**2 - k*n - k*r**2 + 87*k*r - 4278*n**3*r**2 + 3*n*r - 22*n wrt n?\nAnswer: -120*k - 25668*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1710 and 43\/22?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6296119*j. Let f(p) = -7*p. What is f(q(w))?\nAnswer: -44072833*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 502, 532, 582, 652, 742?\n\"Answer: 10*j**2 + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -56. Suppose -3*x - u = -8*x + 21, 3*u - a = -4*x. Solve x*v + 0 = -d - 4, 3*d = -3*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 - -290 - (-1 - 1 - (-3 - 2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 209\/4 - (-2)\/(-8). Suppose -3*c + 6 = -3*q, 8 = 2*c + c - 4*q. What is the units digit of g - -1 - (c - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 28*z - 253. Let q be y(9). Let h(p) = 0 - p - 2 + 3. Let b(u) = 2*u**2 - u + 3. Let t(m) = q*b(m) + 2*h(m). Determine t(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/590285107 and 57\/177356.\nAnswer: 2361140428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:33 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3436233.\nAnswer: 3, 1145411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -7*q + 4. Let s be t(-6). Suppose 5*a = -15, 4*d = 2*d + 4*a + s. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0473 less than -1.7?\nAnswer: -1.6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 - 17*n - 6. Let i be p(-8). Suppose -i*y + 36 = 492. Let k be (-1)\/4 - y\/16. Calculate the highest common factor of 154 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqespe. What is prob of picking 1 s and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212012 - -2?\nAnswer: 212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -1\/7*n**2 - 2 + 2\/21*n**3 + 0*n. Factor l(b).\nAnswer: 2*b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2)*1*-8. Let p(q) = q - 11. Let v be p(11). Suppose -2*n + 2*i + 2 = 5*i, 5*i + 14 = n. Sort n, 3, v, z in decreasing order.\nAnswer: n, 3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = 1. Let h be r\/15 - 49\/(-5). What is the units digit of (h\/(-3))\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3067776, 3067780, 3067786, 3067794, 3067804, 3067816?\nAnswer: 3067830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121577*c**2 + 77*c - 77*c - 549827*c**2.\nAnswer: -671404*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviyixyoioovov. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15)*a\/((a\/(a\/a**(1\/5)*a))\/a))**(-8\/5) assuming a is positive.\nAnswer: a**(-352\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*v + 191*v - 3200 = 2*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -156*p + 648. Calculate o(2).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.143 + -136.143. Let a = d - -133. Are a and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1860 = 53*u - 56*u - 2*s + 1829, -2*u = 3*s + 24 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 12, 40, 104, 216?\n\"Answer: 2*j**3 - 10*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1977*z + 141. Is x(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7815 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b - 1. Let z be f(5). Let x = -5 + z. Let d be (x + 7)*6\/9. Solve -3*q + 29 = 5*c, 0 = 5*c - d*q + 3 - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/54*(-1341)\/42 and 63\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1027200 - 647200. Suppose 2*z + b = -0*z. What is z rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 19455*u**2 - 3*u - 1. Is p(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let k(i) be the first derivative of -3*i**2\/2 - 8. Determine k(d(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 54 = -91. Let w be z\/(-9) + 4\/18. Let t(n) be the third derivative of -n**6\/120 - n**5\/12 - n**4\/6 + n**3\/6 + 2*n**2 + 153*n. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, -0.1, 1\/11, -1\/13, 5, -1 in descending order.\nAnswer: 5, 2.2, 1\/11, -1\/13, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218 and 25397.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.4 + 18.9. Which is the nearest to -1? (a) -0.24 (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1362*u**5*y**3 + 38*u**2*y**3 + 38*u**2*y wrt u?\nAnswer: -81720*u**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119094 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-54))\/(136\/(-102)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2. Let x(d) = 9317683*d. Determine x(s(w)).\nAnswer: 83859147*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 14) to base 2\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2263*o**3*w**3 - 1461*o**3*w**2 + 26*o**3 - 5*o**2*w**2 + 68*w**4 wrt w.\nAnswer: -13578*o**3 + 1632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85346398 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0952 and -4.\nAnswer: -0.3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 49799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d - 73. Let m be p(-11). What is the smallest value in m, 0.04, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**3 + 2*u**3 + 6*u**3 + 2837 - 2687 - 6*u + 2*u**3 as t + n*u**3 + z*u**2 + p*u and give t.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29245942?\nAnswer: 2, 11, 120851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 485664722 at most as big as 485664722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 585.\nAnswer: 585.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m + 283. What is the lowest common multiple of 7 and r(-18)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r - 1. Let i(u) = 10*u + 3. Let y(g) = 2*i(g) + 5*p(g). Give y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 5*h**2 - 2*h**2)*(-186 - 259 - 664)*(-h + 3*h - 4*h) as t + p*h**3 + a*h**2 + v*h and give p.\nAnswer: 11090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 38. Suppose 0*r + x = 2*r - 29930, 29942 = 2*r + v*x. Let o = 21034 - r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/11)*((v**(-11)*v)\/v*v)\/v assuming v is positive.\nAnswer: v**(-122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 297\/7 + -42. Which is the closest to 2\/9? (a) m (b) 2\/107 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1\/105 - 1. Let l(i) be the third derivative of 0*i + 0*i**3 + 0*i**4 + i**2 + 0*i**5 + 0 + q*i**7 - 1\/60*i**6. Factor l(y).\nAnswer: 2*y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) -2\/11 (d) 169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1849, 3, -2.\nAnswer: -1849, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 22. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9*a - 4*a = -69, a - 95 = 3*p. Let b = p + 72. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198 - -190. Let w(h) = -6*h + 50. What is the tens digit of w(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*j = -122*j - 105. Suppose -4*r + 49 = 3*z - j, 5*r - 74 = 3*z. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 4*x. Let q be 1\/((-5)\/(-10))*(0 + -20). Let u = q + 55. What is the remainder when u is divided by l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 7*h - 9*h + 4, 5*h + 2*b - 9 = 0. Let z(q) = -q**2 + 5*q + 3. Let v be z(5). Suppose -v*j - 19 = -7. Put 2, j, h in decreasing order.\nAnswer: 2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:34 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 16. Suppose 0*a = -3*a + n. Put a, -5, -3 in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2452 and 50118880?\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 divided by -73.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1923608 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498 and 3.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 99*h**2 - 1077*h - 158. Calculate x(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 - -159. Let w = 81 + i. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a hour in seconds?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -181\/11. Let s = -10.95 - 0.05. Let c = -7 - s. What is the second biggest value in j, c, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51787.\nAnswer: 51787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + x - c + 53 = -0*x + 6*x, 6*x = -4*c + 58 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 23530.\nAnswer: 117650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -401 at least as big as -12440\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 37455*d**3 - 35*d**2 - 4*d + 4. What is the thousands digit of l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 5*x**5\/12 - 5*x**3\/3 - 2*x**2. Let j(m) be the first derivative of n(m). What is the remainder when j(2) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {e: 2, y: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4949\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x - 1. Let z(c) = c**2 + 7*c + 58. Give 5*i(w) + z(w).\nAnswer: -4*w**2 + 2*w + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - t. Suppose -3*r = 2*r - k - 1708, -2*k = 6. Suppose -t*p - w = -274, -w - 113 = -5*p + r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y - 3*y**2 - 2*y - y**2 + 0*y**2 wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 22 = 25*y. Suppose 0 = -y*c - 9 + 31. Calculate the remainder when 42 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*z + 36 = 123*z. Suppose -y - 3 = z*o - 7, -3*y + 12 = -3*o. Find m such that 3\/2*m**2 + o + 3\/4*m + 3\/4*m**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/7)\/((-36)\/126)*-3*(-14)\/(-105)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46620983759762 + 4.\nAnswer: 46620983759766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561083.\nAnswer: 7, 52267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 722748065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28990 = -63*k - 29053 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31830401, 31830404, 31830407?\n\"Answer: 3*g + 31830398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 21*j**2 - 5 - 229*j**2 + 58*j**2.\nAnswer: -150*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 = -2*p - f, p + f - 7 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 0 - 1\/30*v**6 - 2\/3*v**4 + 9\/2*v**2 + 45*v + 1\/2*v**5 - 5\/3*v**3. Factor o(y).\nAnswer: -(y - 9)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2 + 1\/3*u**3 + u + 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3105758 divided by -1\nAnswer: 3105758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 80. Let q be 11\/4 - (-6)\/(-8). Suppose 3*p = -3*n, n + q*n = -2*p - 2. Calculate the highest common factor of x and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 15*p + 1. Is r(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-5)\/(20\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5222021 (base 6) to base 9.\nAnswer: 423444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 2*k - 11. Let x be q(9). Let r = x + -123. Calculate the remainder when 58 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 + 556*s**2 + 18040*s - 18592 = 0. Calculate s.\nAnswer: -28, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7941 times -0.806?\nAnswer: -1.4460446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2017 + 1006 + 1011 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -40, -15 in decreasing order.\nAnswer: -1, -15, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201259 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6016 and 16537232.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1298638521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 3. Suppose -1 = g - h. Find the first derivative of -g - 1 + 3*r**2 - 2*r**2 + 5*r**2 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242819.779057 - 242820. Let a = b + 0.221. What is a rounded to six decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 426251*l**2 + 2133505*l wrt l.\nAnswer: 852502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -140?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 3. Let z be q(3). Suppose 0 = x - z*x + 85. What is the greatest common divisor of x and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -a, 0*p - 2*p + 4*a = -22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2 - 1284*h + 152290 = 0.\nAnswer: 157, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9353162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -17. Let u(l) = -l**3 - 19*l**2 + 16*l + 11. Let f be u(i). What is f rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 9, 0.06, -0.2, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-21))\/(10\/(-35)). Suppose 3*b = -i*b + 27. Suppose -4*d - 11 = 4*g - 63, -11 = -2*d + b*g. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 4. Let s be r(0). Let i be (1\/(-5))\/(s\/12). What is the smallest value in i, 4, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l**2 + 18*l**2 - 14*l**2)*(5*l - 257 + 257) + 0 + 0 - l**3 + (2*l**2 - l**2 + l**2)*(-1 - l + 1) + 6*l**3 - l**3 - 3*l**3.\nAnswer: 89*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 6*b**2 + 7*b - 7. Let c be y(5). What is the third derivative of 4*q**4 + q - c*q + 2*q - q**2 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -6. Suppose -h*d + 19 = -29. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 103. Let z(h) = h**3 - 6*h**2 + 6*h - 6. Let q be z(5). Is q not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n - 8327 - 3704 = 433*n + 1839 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 27. Let z(a) = 25*a - 45*a + 20*a - 3*a**q. Let l(j) = j**2. What is z(l(n))?\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11886 + -59688\/5. Let u = a + 52. Factor -u + 4\/5*j - 2\/5*j**2.\nAnswer: -2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 553*h. Let g(o) = 275*o + 1. What is -9*g(d) + 4*x(d)?\nAnswer: -263*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41 (b) -312 (c) 0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -622, -631, -642?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949860 to the power of 1\/2, to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -18. Let g = 14.2 - i. Let t = 16.7 - 17. What is the second biggest value in 5, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v)**(-3\/29)*((v**4*v)\/v)**(4\/9) assuming v is positive.\nAnswer: v**(572\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n)\/n**(-3\/4)*(n*n*n*n**(-1))**(-5\/3) assuming n is positive.\nAnswer: n**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 12*o**2 - 2*o - 23. Let u be d(-12). What is the closest to 15 in u, -5, 2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 236*z = -237*z - 4, 0 = -2*i + 5*z + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*f + 2623 = -26*f. Find the third derivative of 24*k**3 + f - 82*k**3 + 22*k**2 - 159*k**2 - 61 wrt k.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.83 + -2.17. Let y = -1.8 + 1.6. Which is the third biggest value? (a) o (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15236*i - 2460 - 13921*i + 4877 - 2417 as a + n*i and give n.\nAnswer: -29157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121020201 (base 3) in base 13?\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*b + 16, -5*b = -r - 7 - 13. Let h(w) = w**3 - 2. Let u be h(b). Suppose -u = 3*d - 5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/6 + 47*y**4\/3 + 827*y**3 + 37228*y**2\/3 + 388999*y\/6 + 53235 = 0. What is y?\nAnswer: -14, -13, -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 14) to base 15\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, b: 2, m: 2, a: 2}. Give prob of picking 1 b, 1 m, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606298 is divided by 20895?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676687569 to the nearest integer?\nAnswer: 26013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*s = -s + 2, -s + 2 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + -195 - (-27 - 126).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2 + 2 + 1. Let y(v) be the third derivative of -1\/60*v**5 + 0*v - 1\/6*v**3 + 1\/12*v**4 - 2*v**2 + 0 - 1\/120*v**6. What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6482, -6487, -6502, -6533, -6586?\n\"Answer: -d**3 + d**2 - d - 6481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/(42\/(-6)) + 1 + 402 + -4 is divided by 151.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/14 and (-7 - (-16471)\/1904) + -2?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 + 12*a + 7 + 4 as t*a + p and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let s(q) be the third derivative of -q**5\/60 - q**4\/24 - 2*q**3\/3 - 4*q**2. What is s(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18997902 divided by -16753?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223732636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**6\/40 + 5*a**3\/3 + 5*a**2. Differentiate z(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.508156 millimeters to meters.\nAnswer: 0.001508156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53613933 to the nearest integer?\nAnswer: 7322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 2*s**2 - s - 2. Let q be z(-2). Solve o + o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - -9. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 49*n - 54*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 11*i + 19. Are i and -2\/2431 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 0 - (1 - 1). Let y be 6\/4 + v\/(-2). Let g be (-6)\/(-5)*15\/(-9). Put y, 0, g in decreasing order.\nAnswer: y, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = 3*h, 2*h + h - 5*x + 20 = 0. Suppose -4*o - 3 = -5*o. Suppose 39 = o*q - h*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*q = 2, 6*q - 4*q - 17 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171161.94 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 333 + 707 - 374.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/13 - 80*a**3\/13 + 226*a**2\/13 - 148*a\/13 = 0.\nAnswer: 0, 1, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.24 + -1.84. Sort 4\/7, x, 0.1 in ascending order.\nAnswer: 0.1, x, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 + 10*v - 118. Let r be w(3). Find m such that -8\/3 - 3*m - 1\/3*m**r = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001507528734 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 5*p. Let u be 308\/16 + p\/8. Let d = u - 8. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5591, 1715, 13883, 30907, 52781?\nAnswer: 79499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 - 141.7. Let i = 4.3 - 10.3. Let h = i - n. What is the smallest value in 4, h, -2\/23, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 579 + -579.1. Suppose -3*v + 5 = -13. Let l = v - 4. Which is the nearest to d? (a) l (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113560160 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:27 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 499*v - 105*v - 2 + 0 - 71*v - 117*v. Let h(u) = 4*u. Calculate g(h(c)).\nAnswer: 824*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 3*i**2 + i + 2. Let d(a) = -10*a**3 + 4*a**2 + 46*a - 52. Let t(g) = -d(g) - 12*z(g). Suppose t(q) = 0. Calculate q.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94.9 times 34.46\nAnswer: -3270.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/6 - 5)*-3. Suppose 2*u + 7 = -3*c, 4*u = 5*c + 15 + a. Suppose x + 9 = -q - 4*x, 3*q + 2*x + u = 0. Solve q = -k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119844 is divided by 23968.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/22*11 + (156\/13 - 27)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-1))*r)\/r*r*r)\/r)\/(r**(6\/5)\/r)*r**(-5\/4)\/r*r**16 assuming r is positive.\nAnswer: r**(311\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3407\/5 + 681. Which is the closest to -17? (a) -4 (b) -5 (c) -0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/288*6*-3*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(392)*6 + sqrt(392))\/sqrt(8))\/(-5*-3*sqrt(343)).\nAnswer: -sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133921783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Let m(k) = 0*k**2 + 2 - 1 - k**o + 2*k + 0. Determine m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -25*m**3 - m. Let g(o) = 2*o**3 + o - o**3 + 11*o**3 + o**3. Let c(a) = -5*g(a) - 3*q(a). Find the second derivative of c(z) wrt z.\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (1 + -9 - -2). Suppose -3*f - 8 = f. Put y, f, 4 in ascending order.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 8*b + 100*b**2 + 12*b**2.\nAnswer: 112*b**2 + 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/2 - 294808*m**3 - 43479162023*m**2 - 6864188895528*m - 542125609855281\/2 = 0?\nAnswer: -294729, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14*c*c**(1\/2)\/c)\/(c**(-4))**(-2\/55) assuming c is positive.\nAnswer: c**(1579\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -66) + (1 - -12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15480655 - -11?\nAnswer: -15480644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (-6)\/(18\/(-255)). Let n = r + 100. What is the remainder when 56 is divided by (1 - n\/14) + (-1854)\/(-63)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0975 + 0.104. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + b - 70 = 19, -d - b = 16. Let h = 23 + d. What is the highest common factor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 808\/2485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31568973, 31568947, 31568921?\n\"Answer: -26*o + 31568999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 7*w. Let u be a(7). Differentiate -5 + u - o**2 - 4*o + 4*o wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*l - 7, 2*q - 3*l = -14 - 11. Let r = 11 - q. What is the remainder when 74 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1592850 and 59466400.\nAnswer: 178399200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4 + 19360*z**3 + 77482*z**2 - 96840*z = 0.\nAnswer: -5, 0, 1, 9684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -474510 and -10.442102?\nAnswer: 474499.557898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -29*z - 69. Let o(q) be the second derivative of 148\/5*q**5 - 675\/7*q**7 + 32\/3*q**4 + 0*q**2 + 0 - z*q - 16\/3*q**3 - 48*q**6. Factor o(d).\nAnswer: -2*d*(5*d + 2)**2*(9*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 85?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7600174 * -13.\nAnswer: 9.8802262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 13*y = -2*s + 327, 5*y - 687 = -4*s. Solve s = 25*z - z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102623 and 287?\nAnswer: 718361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -899010, 11 in descending order.\nAnswer: 16, 11, 4, -899010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 54*a**5 - 644*a**4 + 2166*a**3 - 1456*a**2 - 120*a = 0.\nAnswer: -2\/27, 0, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/16 + (-30)\/80*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147255*d**2*f - 49*d**2 + f**4 - 1371 with respect to f.\nAnswer: -147255*d**2 + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/l**(-6))\/l)\/((l*l**5*l)\/l))\/(l*l\/(l**(-4)\/l)*l\/(l**(-1\/4)*l*l)*l))\/(l**4\/l*l**(-1\/7)\/l*l**(-5\/4)\/(l*l**(-1\/5))) assuming l is positive.\nAnswer: l**(-212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*h**2 - 27*h**2 - 299 - 52*h**2 + 4*h**2 + 122*h**2.\nAnswer: -h**2 - 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 + 22*i**3\/5 + 68*i**2\/5 + 48*i\/5.\nAnswer: 2*i*(i + 1)*(i + 4)*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -75 + 95?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -287*t**2. Let u(s) = s**2 - 30*s. Let h(o) = 10*o. Let l(v) = 6*h(v) + 2*u(v). Calculate l(m(k)).\nAnswer: 164738*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65242 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8019, 7994, 7957, 7902, 7823?\n\"Answer: -o**3 - 18*o + 8038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:54 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffh when three letters picked without replacement from {f: 7, h: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 723\/(-1205)*(-5)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most -7263278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-70)\/21)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrdr when four letters picked without replacement from {m: 2, r: 6, d: 2, q: 3, x: 3}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o + 143. Let q be t(-2). What is the highest common divisor of q and 2147?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Does 63 divide 2095554258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(10*p - p - p) + (-3 + 2 + 3)*(-p - p + p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 15. Let r = q + 17. What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/3 + 891\/(-81) + 2\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrvjiyiviarrvvv. What is prob of sequence ijj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4041420+13325\nAnswer: -4028095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -186.1 (c) -0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (27 - (20 + -8 - 20) - -10)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 2, -4, -6386, 0 in descending order.\nAnswer: 6, 2, 0, -2, -4, -6386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/19, 30, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(2*sqrt(8)) + 2*sqrt(52)\/sqrt(4).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6903*i - 55225. What is r(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-204)\/(-72))\/(1\/(-1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c**3*d - 113*c**3*q**2 + 2*c**2*d*q**2 + 2062*c**2*q + d*q wrt c.\nAnswer: 72*d - 678*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Suppose -3*s = 2*s - 15. Solve -3*m + s = -3*t - 27, 3*t - 2*m = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by 102\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141 + 14441 = 53*m. Calculate the lowest common multiple of m and 336.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 47. What is u(-7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 8*z + 9. Suppose 6*g - g - 45 = 0. Suppose -2*b = o - 19, 5*o - g = b + 9. List the prime factors of m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-30)*(-3)\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((1\/(-2))\/((-6)\/36))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4276248 and 40089825?\nAnswer: 320718600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -15.2. Let k = 2 + -1.97. Let t = k - 0.13. What is the closest to 0.1 in 2\/17, t, m?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38655.38 * -86.\nAnswer: 3324362.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -33*n + 323. Determine r(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40441157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*l**3 - 664*l**3 - 1 - 1.\nAnswer: 86*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*m**3*o**2 - 16666*m**3 + 14*o**2 wrt o.\nAnswer: 34*m**3*o + 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.4208374 months?\nAnswer: 0.00020173645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 460134289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 2813*m - 497842. Determine q(-159).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 439288 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 9*y**2 - 12*y - 16. Let t be i(-10). Solve 0 = t*w + 17 + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11688688 is divided by 13328?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.2 + 34. Let r = -111\/164 - 3\/41. Let m = 7.4 + -7. Which is the biggest value? (a) m (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 + 12 - -3 - 4) + 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 28*h - 12. What is the remainder when g(15) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2*sqrt(180) + sqrt(180)) - (3 + sqrt(180) + sqrt(180) + -1)) + (-6*(sqrt(180) - sqrt(180)*-3) + sqrt(180))*2)**2.\nAnswer: 1008*sqrt(5) + 317524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 41. Let y(x) = -x + 1. Let n(k) = 10*k**3 - 6*k + 7. Let r(a) = n(a) - 6*y(a). What is r(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 537. Let t = i + 322. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1359080 divided by -6.\nAnswer: -679540\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/103? (a) -10 (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*s**2 - 199*s**2 - 200*s**2 + 117*s.\nAnswer: 2*s**2 + 117*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-16)*4\/(-2). Find the second derivative of -10*y + 5*y**p + 63*y**3 - 4*y**3 - 29*y**3 wrt y.\nAnswer: 210*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 664\/999 - -2\/999. Let 1\/3*v**2 - i - 1\/3*v = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24471, 24609, 24827, 25125?\nAnswer: 25503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-28)\/24).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*o + 27 = 0, o = 3*d + 2*o - 56. Suppose 4*c - 4 = y, -5 + d = 4*c + y. Solve -h + c = -0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1217460\/11 + -110974. Let q = i + 296. Which is the third biggest value? (a) q (b) -4 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*x**2 - 4*x**2 - 2*x**3 - 61*x**4 - x + 59*x**4 in the form l*x**2 + m + b*x**3 + k*x + n*x**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193632 = -f + 5*f. Let s = -21408 - f. Round s to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-278 - 124 + 74)*(-4 + 4 + 5*f)*(f**2 + f**2 - 3*f**2).\nAnswer: 1640*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22637230 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d - 106 + 5*d + 6*d.\nAnswer: 3*d - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.33 + 3.23. Let g = 39.1 + y. What is the third biggest value in -0.5, -1, 5, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 153, 204, 249, 288?\n\"Answer: -3*i**2 + 66*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbbbbbbbbbbbbbbbbb. Give prob of sequence bj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237.0416 + 237. Let i = 0.0416 + a. What is the closest to -1 in 0.4, i, 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1160207 + 1055788219\/175191257. Let b = -57100\/12231 + t. Let r = b + -2\/81. Are r and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/26)*i**(-20)*i*(i\/(i*i**(19\/3)))**50 assuming i is positive.\nAnswer: i**(-26179\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24*(1 - (-14)\/(-8)). What is the units digit of ((-96)\/g)\/(((-5)\/(-12))\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 10. Let w be r(-5). Solve 3*q + 16 = -2*x, 7 + 15 = -w*q - x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26650 - -26654. Let b(x) = -46*x + 184. Calculate b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*o + 65. Let q = -919 - -928. Calculate the smallest common multiple of q and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-1 + 1 - 2*g + (0 + 0 + 1)*(2*g + g + 0*g) - 92*g + 390*g + 632*g).\nAnswer: 1862*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -266140 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246151 is divided by 748710.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 2*k**2 + 0*k**2 + (-5*k + 5*k - 2*k)*(-1 + 2*k + 1) + (k - 3*k - 2*k)*(3 - 3 + k) as o*k**2 + a*k + l and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r**2)*(2*r + 2 - 2)*(3*r + 0*r - 4*r)*(2478 - 43*r - 2478).\nAnswer: -86*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85122? (a) 0.5 (b) -8\/27 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-1 + sqrt(567) - sqrt(567))*1)**2 + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -36462 at most -36462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.42 + 0.02. Let n = 23\/51 + -2\/17. Which is the closest to 1? (a) 0 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 115 in decreasing order.\nAnswer: 115, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 6*d**2 + 5*d - 1. Let s be t(-5). Let o = 0 - s. Suppose -2 - o = -w. Solve -4 - 11 = w*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 12*u + 19 - 33*u - 18*u. Is 4 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**6 + 21*x**2 - 9. What is the second derivative of t(o) wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*v = -1160 - 2688. Suppose -y = 30 - 176. Calculate the remainder when y is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509296 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 95136690*t**2 - 190273383*t\/2 - 23784173.\nAnswer: (t - 47568346)*(2*t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 - -1037\/3. What is the closest to f in 15, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92.65 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3280, 3164, 3048?\n\"Answer: -116*t + 3396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z)**(-22)*(z**0)**(3\/16))\/(z**(-7)*z**(-5)*(z**(2\/3)\/z)\/(z\/z**(1\/12))) assuming z is positive.\nAnswer: z**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or 265419?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 116489106 and -1.\nAnswer: 116489105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and ((-1740)\/24 + 9)\/(1\/(-2))?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9821, -19649, -29481, -39317, -49157, -59001?\nAnswer: -68849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13333043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1, 12, 37, 74, 123, 184?\n\"Answer: 6*v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 2) + -28 + (21 - 30) + 24.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43358519 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000499210211 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:08 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - n - 14, 2*n + 20 = -5*d + 4. Let o(v) = v**2 + 3*v + 2. Let p be o(d). Suppose -l + 1 + p = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 10*t - 11. Let g = -22 - -14. Is a(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 191 + 94 = 0. Suppose 4*t + g = 3*v, 2*v - 25 = -4*t - 7. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16767 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 56?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 80*b**2 - b - 162*b**2 - 5*b + 2*b - 1 in the form w + k*b + u*b**2 and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*h + 15, 129*q + 3*h + 8 = 133*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 63*m - 963. Let n be z(-36). Suppose -4*c = 2*a - 4, 3*a = -2*c - 3*c + 11. Calculate the highest common factor of a and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -360?\nAnswer: -1\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103273042 is divided by 11474782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/28)\/((-69)\/23). Which is the closest to 10? (a) -0.4 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17380, -17611, -17994, -18529, -19216, -20055?\n\"Answer: -76*r**2 - 3*r - 17301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 8 = 14*g. Suppose 4*t = -r + 15, 4*t + g*r = 5*t - 25. Solve 15 = t*a + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520399 = 86*a - 699683. List the prime factors of a.\nAnswer: 3, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -212*l - 31492. What is p(-131)?\nAnswer: -3720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.8 and 1292 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4563 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -111 from 35.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 + 13*q + 256. What are the prime factors of l(-11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 equal to 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 688 and 5862896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:24 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 22*u - 8. Let v be c(-5). Put v, 6, -20 in ascending order.\nAnswer: -20, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 10*m - 117. Let q be f(-7). Find the third derivative of y + 126*y**q - y - 237*y**2 - 44*y**4 wrt y.\nAnswer: -1056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 12\/24. What is the derivative of 0*k**4 + 2*k**4 - i + 3*k**4 + 8 wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13277.639 - -0.28?\nAnswer: -13277.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k - 25. Let i(c) = 12*c - 15. Let u(j) = -5*i(j) + 3*r(j). Let q(z) = -7*z - 2. Give q(u(o)).\nAnswer: 105*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28457 - -24796. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247125 is divided by 49335?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111135 (base 7) in base 2?\nAnswer: 100110010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + ((sqrt(275) + sqrt(275) + sqrt(275) + sqrt(275)*-3)*-3 + sqrt(275) + 4 + (sqrt(275) + 1 + sqrt(275) - sqrt(275)) + 3)*3)**2.\nAnswer: 1440*sqrt(11) + 10472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 106. Let a(b) = -31826860 + 31826860 - 18*b**2. Determine t(a(m)).\nAnswer: 324*m**4 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1187*x**2 - 17*x + 17. Let l(c) = -395*c**2 - 6*c + 6. What is -6*g(u) + 17*l(u)?\nAnswer: 407*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 + 3*r**4 + r**4)*(3 - 3 - 2) + 7*r**4 + 0*r**4 - r**4.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329 or -339?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.91 - -0.9. Let o = -0.24533 + -2.75467. What is the closest to -2\/7 in j, -1, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 3*x**2 - 89 + 50 + 39.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 153169\/1 + -2 + 1 + -4. Let o = y + -1377032\/9. Let j = o + -160. Which is the closest to 1? (a) j (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-1\/3)))**24\/(((((h*h**(-2\/3))\/h)\/h)\/h)\/h**(2\/13)))**(23\/4))**11 assuming h is positive.\nAnswer: h**(-25553\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -13.4. Let n = 15 + d. Let j = 9 - 13. Which is the second biggest value? (a) n (b) -1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3\/11 (c) 0.2 (d) 4 (e) -965 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3036 divided by -6.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/9 + 59\/72. Let w = -0.21 + 0.01. Let z = -0.9 - 0.1. What is the second smallest value in z, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 - 2*f - 7. Let a be x(-6). Let k = a + -25. Suppose 15*w = k*w - 12. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6702 - 0?\nAnswer: -6702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*2\/12*(-12)\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 817, 819, 821?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -542381 - -1.\nAnswer: -542380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1411 + -5643\/4. Let n be 2\/(-7) + 80\/(-14). Let t = -12 - n. Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03352*0.3\nAnswer: 0.010056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335459 is divided by 1349.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/4 - (107 - 125)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 29\/60499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-44)\/55)\/((-30)\/1275). Solve 4*z + 54 - m = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7455 divided by -7455?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1313*h - 654*h - 663*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1)*-1*-3. Let j = s + 24. Calculate the remainder when j is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 5*d + 2*d)*(6 - 6 + 2*d - 3*d + 2 - 2 + 2*d + 2*d - 6*d - 2*d - 3*d + 3*d + (-3 + 3 + 1)*(2*d + 0*d - d) - 3*d - 2*d + 7*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808143471 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 -3163, -6233, -9303, -12373, -15443?\n\"Answer: -3070*k - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 73 = 15*m, 2*l + 11 = -m - 37 + 18 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2*1 - -3. Let o(w) = -w - 1. Let f(x) = 36 - x - 36. Calculate n*o(s) - 2*f(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/3797135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34144 (base 5) to base 3.\nAnswer: -10022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/(-3)*26\/(-39) and -68\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 9*i**2 + 7*i - 7. Suppose -12 = 14*l - 12*l. Is 10 a factor of o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 6*q - 1. Suppose 15 = -3*c - 2*j, 0 = c - 6*j + 3*j + 5. Let i be f(c). Solve 4*g + i = w, 2*w - 3*g = -2*w + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 654*g*h**3 + 12552*g*h**2 - 2*h**3 - h - 1529153 wrt g?\nAnswer: 654*h**3 + 12552*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -35*f**2 - 2*f - 298. Let z(s) = 4*s**2. What is i(z(v))?\nAnswer: -560*v**4 - 8*v**2 - 298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 14*x - 14. Let z be (-230)\/(-4)*(-84)\/105. Let p be (-644)\/z + -1 + 2. Give m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 3, 2, 7, -1 in increasing order.\nAnswer: -1, 0, 2, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - s)*(2*s**2 + s**2 - s**2 + (0 - 2*s + 0)*(0*s + 0*s - s)) - 4*s + 4*s + 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 2*s + 0*s)*(0*s + 2*s + 2*s) - 2*s + 2*s**2 + 2*s - 4*s**2 + 0*s**2 + 3*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 320. Solve 9*t = -26 - m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 177100*l**3 - 3918602424*l**2 + 86294991024*l = 0. Calculate l.\nAnswer: -44286, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - s = -53*f, 0 = -4*f - 5*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Suppose -f - 17 = 4*i, i - 2 = -3*f + 2. What is o(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337040 divided by 12380?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(1872) + -1*(sqrt(1872) + -1 + sqrt(1872) + sqrt(1872) + sqrt(1872)) - 2*sqrt(1872)*-1))**2.\nAnswer: -864*sqrt(13) + 67432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10339\/(-931) - 16\/(-152)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0 - 4 - 2*j**2 + j + j**2. Suppose 4 + 6 = 5*n. Suppose o = 4*s - 2, 3*s + o + n = -0. Determine b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 10*s**3 + 566*s + 12*s**3 + 1131 - 2254 + 1124 as v*s**3 + p*s + w + c*s**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 223528?\nAnswer: 223528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -0.0816.\nAnswer: 2.9184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1206, 0.8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*j + 4)*(-2*j**4 - 2*j**4 + 11*j**4) + j**5 + 3*j**5 - 6*j**5.\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 10*h**2 + 8*h - 6. Suppose k = o - 8 - 5, 2*o = -2*k - 10. What is the units digit of j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 41441308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55*(-390)\/234*(-12)\/(-110) + (-188)\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:06 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose q*z = -0*z + 56. Let r = 14 - 4. What is the remainder when z is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {p: 1, j: 6, w: 3, f: 3, x: 5}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/m**(2\/5)*m**(1\/10)\/(m**5*m))\/((m\/(m\/(m\/(m**(-1\/3)*m)))*m)**(-18\/7)\/(m**(-2\/5))**(1\/13)) assuming m is positive.\nAnswer: m**(-638\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 7*h + 6*h - 2*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let t = 4 - m. Let n = -530\/7 + 76. Which is the nearest to n? (a) t (b) -3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 k when four letters picked without replacement from mmmkmmmmkkmmkk.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/8373610 and -71\/31206.\nAnswer: 25120830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44582 + -24351. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.46 + -644.3.\nAnswer: -613.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)\/y**(-4)*y**(-8)*y\/(y*y*y**12\/y*y*y) assuming y is positive.\nAnswer: y**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191393.\nAnswer: 43, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360 + -362 + (-1 - -3) - -33.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/(-15)*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 - 5*y - y**5 - 74338*y**4 + 115*y**2 + 7*y**2 - 4 + 79766*y**4 wrt y.\nAnswer: -60*y**2 + 130272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24922*p**4 - 8307*p wrt p.\nAnswer: 299064*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = 37 - 13. Is -54*(1 - (-2 - -2))*c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 5*x + 6*x - 4 - 4 as p + k*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2. Let y(w) = -2596*w**2. Give k(y(t)).\nAnswer: 26956864*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644601 is divided by 375.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/32 and 47\/1696.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + -1.46. Let j = 6.7 - o. Let f = j - 3. What is the nearest to 3 in -1, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2552 = -9*j - 1454. What is the highest common factor of 1891 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -277486 (base 9) to base 2\nAnswer: -101001011000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2739*i**4 + 8816.\nAnswer: -10956*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let x(g) = 3207426*g. What is f(x(c))?\nAnswer: 6414852*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 10333?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/1*((-434)\/(-21))\/31?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - 51.4. Let l = -53.959 - z. Let g = -0.907 + l. What is g rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881537.\nAnswer: 881537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112303 - 131311330?\nAnswer: -131133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33142?\nAnswer: 2, 73, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*j = 4 + 14, 134 = 3*r + 4*j. Let f = -47\/13 - -815\/78. What is the common denominator of 30\/(-126)*(2 + r\/(-4)) and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let m(r) = 844*r**2 - 457. Calculate m(f(d)).\nAnswer: 844*d**2 - 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 421*b**2 + 30*b - 360. List the prime factors of l(7).\nAnswer: 20479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = j. Solve 6 - 1 = 2*l + 3*d, -2*l + j = 4*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*1*(2 + -5 + 2*sqrt(2299)).\nAnswer: -12 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -5144357\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v + 20*v + 4*v**4)*(18 - 19 + v + 4*v).\nAnswer: 20*v**5 - 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*j = -6, 21823*h + j = 21828*h - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*y + 4*j + 12, -4*j = 2*y + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + 7682\/(-84). Let k = r + 91. Let i = -2.85 - -2.75. Which is the second biggest value? (a) i (b) -4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 322*h + 29335. Give l(-74).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, r: 2, z: 1, s: 8}. What is prob of sequence brs?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.114798 litres in millilitres?\nAnswer: 8114.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -14. Let r = -1 + v. Suppose 2*o - o - 2*y - 35 = 0, 5*o - 190 = 5*y. What is the remainder when o is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-2) - (6 - 1). Solve o = 7*o - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/94 and -81\/56.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.31 + 5.31. Let i = 10295424 - 10295445.000092. Let h = c - i. Round h to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(847) + (-1 + sqrt(112))**2 + sqrt(63)\/(sqrt(576) - (sqrt(576) + (sqrt(576) + (-1*sqrt(576) - sqrt(576)) - sqrt(576) - sqrt(576)) + sqrt(576))).\nAnswer: 49*sqrt(7)\/16 + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12901 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7577 = 761*f - 45759 - 7478 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - 2*b - 2*b)*(-263 + 56 - 88) + 4 - 4 - b)*(-3 + 3 - 2*b).\nAnswer: -588*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**3 + 5*d**3 + 2*d**4)*(0*d + 2*d - 3*d) - 4*d**4 - 5*d**5 + 2*d**5 + 2*d**5.\nAnswer: -3*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 8}. Give prob of picking 2 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 1329, 3108, 5599, 8802, 12717?\nAnswer: 17344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 - 39*g**2 - 73*g - 730. Is 45 a factor of u(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12279*w = -12307*w + 168 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/(-24) + -5)\/(8*(-60)\/(-21760)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0507 - -0.4493. Let a = -0.2 + 0.3. Let v = a - 0.2. Put -2\/11, q, v in decreasing order.\nAnswer: q, v, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 751 - 748. Solve 4*k + 7 = -4*y + 3*y, 5*y + b*k + 18 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(56\/(-3)))\/((-1)\/7). Solve -5*m + d = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228020*z + 3 - z**4 + 2373*z**3 + 3178*z**3 + 227308*z wrt z.\nAnswer: -12*z**2 + 33306*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2 + 3 + 1)*(-5*s + 4*s + 3*s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.76854 - -78.\nAnswer: 137.76854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 197997, 790624, 1778345, 3161166, 4939093, 7112132, 9680289?\n\"Answer: b**3 + 197541*b**2 - 3*b + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(5\/48*(-129)\/(82560\/256))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4612368 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208167?\nAnswer: 3, 69389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (46 + -51 - (-23)\/5)\/((-2)\/85). Solve -60 = -3*p - b*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -99 (b) 2\/3 (c) -2 (d) 6.3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95159809 divided by -71.\nAnswer: 1340279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1862 and 7049?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/114944 and -139\/10776.\nAnswer: 344832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/(3\/(-27)). Suppose p*r + 1000000 = r. Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*28\/(-16) + (-1634)\/(-129)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135825.\nAnswer: 3, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 0) + (37 + 8 + -26 - 24).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -4232964 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - f - 2990 = 648, -4*x = -5*f + 2922. Round x to the nearest ten.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 25*o**2 + 18*o - 106. Determine t(-26).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**2 + 26 - 20*p - 8*p**2 - 2*p**2. Let x be r(-11). Suppose x*z = 349 + 179. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 2*h + 0*h - 16 + 79 + h**3. What is the tens digit of y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, w: 2}. What is prob of picking 2 m?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 252*r - 252*r + 4*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in 4\/7, -3\/7, 2\/5, 3\/4, 0.539?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 + i + 7. Let o be p(6). Suppose 0 + 20 = 4*y - 4*t, -5*t - o = -y. What is the smallest common multiple of 11 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 30632 = 20412. Suppose -39*p + 41*p = a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/((-20)\/(-10))*(-30)\/(-9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 8 = 19. Suppose 3*g = -g - 3*p + 281, -w*g = -2*p - 215. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 6:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.338 in -207, 0.2, 3, -0.1, -4\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -328, -775, -1380, -2137?\nAnswer: -3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -0.3. Let o = 64.09 - 64. Let t = 0.06747 - -0.03253. Put o, t, 1, v in decreasing order.\nAnswer: 1, t, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42070672 divided by 14\nAnswer: -3005048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1695510810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u**3 + 27*u**3 + 30*u**3 - 100*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1983303922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 11 = -5*y, -47672*j + 47673*j - y = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.7 + -14. Which is the second biggest value? (a) 3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 435 + 294*n**3 + n**2 + 2*n + 298*n**3 - 210 - 593*n**3 as q*n**2 + u*n**3 + g + i*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 1. Let a(l) be the first derivative of -3*l**4\/2 + 7*l**3 - 6*l**2 + 9*l - 1. Let w(r) = -a(r) + 6*f(r). Determine q, given that w(q) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:40 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122782 is divided by 114.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 568\/(-22) + 2\/(-11). Let s = 29 + r. Sort -2\/3, 2\/5, s in ascending order.\nAnswer: -2\/3, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -66*d - 44. Let y(q) = -13*q - 8. Let n(v) = -2*x(v) + 11*y(v). Let l(p) be the first derivative of 2*p**3\/3 + 2. Give l(n(u)).\nAnswer: 242*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 21)*1864\/4427*1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2466536, 3, -4 in descending order.\nAnswer: 3, 0, -4, -5, -2466536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1205725271 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-3))\/3*-5. Suppose -2*u + x = -7*u. Let w = -943\/8 + 118. Are w and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - -47. Suppose -2775 = -x*u + 95*u. Round u to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 5*z - 18 - 27 + 21.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-4)*(-1)\/3*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let p(d) = -33*d - 9*d**2 + 33*d. Calculate g(p(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.65 less than -0.059823?\nAnswer: -625.709823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -99679 (b) 1\/5 (c) -1\/8 (d) 4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-7 - (-2 - -2)). Let a(g) = b + g + 9 - 18. Let q = -18 + 11. Give a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 18. Let v be 32\/18 - (-2)\/9. Suppose -3*k = -5*f - v*k + 90, 66 = 3*f - 3*k. Calculate the remainder when z is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 96, 342, 822, 1614?\n\"Answer: 13*k**3 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 9 = -5*f, -f = -3*h + 2*h - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8*g)**28 assuming g is positive.\nAnswer: g**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -468*k**3*x**3 - 3*k**3*x**2 - 400*k**3 - 1234*k**2*x**3 + 1523*k**2*x**2 wrt k.\nAnswer: -2808*x**3 - 18*x**2 - 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(0*j + 2*j**4 + 0*j) - 3*j**4 - 17 + 17 to the form w + b*j**2 + m*j**3 + g*j + z*j**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {b: 2, m: 2, a: 2, h: 5, k: 2, c: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 55532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 350*j**2 - 24*j + 31920 wrt j.\nAnswer: 700*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2275 + -c85?\nAnswer: 12c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(16\/(-40))\/2*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198384663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28341 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o - 96*o + 17*o)*(11 - 6 + 21) to f*o + d and give f.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 - 350 = -12*s. Let r = -44 + s. Calculate the remainder when 39 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/4)\/(7040\/(-1720)) and 3\/572?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3019*z + 85933 = -101245 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + -9 + (15 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = 0, 0*j - 4*j + 24 = -5*h. Is 26 a factor of (24\/9 + 0)\/(h\/(-294))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*l + 38, 3*k + 137 = 69 + 65 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:12 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 11 - 7 + 3*u**2 + u**2. Let g be o(-1). What is the nearest to 0 in g, -1.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*q + 42 = -61*q. What is the remainder when 137 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 216, -3, -200 in decreasing order.\nAnswer: 216, 5, -3, -28, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 9*d - 9. Let u(y) = -3*y**2 - 4*y + 4. What is 4*n(b) + 9*u(b)?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 92 = 3*w + 2*n, w = -2*n + 28. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 4. Let l be w(6). Suppose p + 4*p - 20 = 0. Let t be (4\/6)\/((-10)\/(-120)). Solve -p*q + l*q = t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.0722 millilitres in litres?\nAnswer: 0.0820722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 18. Suppose -8*v + 3*v + 240 = i. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from qqqqqqqyqqqqqqqqyyqq?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - p = -10, -1674*p = 3*f - 1675*p - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001110101110001010011 - 101110?\nAnswer: -1000001110101110010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 20 = 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430102241 + 3?\nAnswer: -1430102233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433*t - 1429*t + 16 = 0, 0 = 4*w + 7*t - 124 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157.56 less than -0.69105575?\nAnswer: -1158.25105575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455 (base 6) in base 3?\nAnswer: 1102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 45. What is the remainder when 89 is divided by o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*o - 35, -2*i + 2*o + 3*o - 5 = 0. Let s(l) = l**2 + l + 3. What are the prime factors of s(i)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*d**2 + 232*d**2 + 2400*d**3 - 112*d**2.\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*i + 1, l - 5*i = -5 + 36. Let a(j) = j + 2. Let t be a(3). Suppose t + 7 = -6*s. What is the second biggest value in l, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 43.\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -899161 - 5?\nAnswer: -899166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 16026*j**3 + 2 - 171021*j**3.\nAnswer: -187047*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2325 - 2033. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 + 48*a - 37. What is the tens digit of w(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3901 (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -92597538 divided by -8417958\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 - 2395c?\nAnswer: -23925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/7 (b) -0.2 (c) 2\/25 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ookk when four letters picked without replacement from skvsskssvovsr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**4 - 48*a**3 - 4*a**2 - 103*a + 438287 wrt a?\nAnswer: 12*a**3 - 144*a**2 - 8*a - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*u + 5*m, -u - 3*m + 7*m - 5 = 0. What is the third derivative of 372*y**2 + 2*y**3 - u*y**4 - 5 - 365*y**2 + 7 wrt y?\nAnswer: -72*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318857, 637716, 956575, 1275434, 1594293, 1913152?\nAnswer: 2232011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (19 + -19) - (119 - -16).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 26*d**2 - 48*d + 30. Let a(z) = 16*z**3 + 130*z**2 + 240*z - 150. Let b(l) = 2*a(l) + 11*x(l). List the prime factors of b(-25).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 6*z**2 - 6*z. Let k be j(5). Calculate the highest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9533707 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 2:57 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.15 + 0.15. Which is the nearest to -0.03? (a) j (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 18 = 4*i - 2*i, 0 = -2*i + 23*c - 78 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2583*q = 2585*q, 0 = 3*v + 3*q + 15 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 153355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 103, 226, 417, 688, 1051, 1518?\nAnswer: 2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 31 = -23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -5332181.\nAnswer: -1\/5332181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1547*u + 53*u**4 + 5*u**2 - 2*u**3 - 1545*u - 14*u**2 + 8*u**2 - 2 as a*u**2 + p*u + x + z*u**3 + n*u**4 and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*u - 171*u = -168 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53991 + 102995 = 1971*j + 16721 - 5589 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47480\/8309*(4\/6)\/((-4)\/21).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -68.387.\nAnswer: 615.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b + 51936*m - 279 = 51932*m, 3*b - m + 11 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 4*l - 4, -3*l + 5 = m. Are m and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-56)\/35)\/((-4)\/10). Suppose 0 = 2*t - v. What is the smallest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + -2 - -13)*(-76)\/399*-413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*f + 3*f. Let s be -1 + f\/(-6)*-9. Let q(j) = s - 2 - j + 8. What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -111252*v. Let m(b) = -3*b**2 + 52*b. Determine m(n(x)).\nAnswer: -37131022512*x**2 - 5785104*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2. Let g(d) be the second derivative of -d**3\/6 + 16*d. Determine t(g(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17496 and 5834?\nAnswer: 51035832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (2 + 1402\/(-7)). Suppose 555 = -12*h + 2967. Let k = b - h. Find the common denominator of k and -28\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 7779*f**2\/4.\nAnswer: -f**2*(f - 7779)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -631? (a) -55 (b) 0.5 (c) -0.34 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*y - 76176 = -264*y. Calculate the remainder when 454 is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -55. Solve -7*n - n = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6246 + 9894. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 4) to base 10.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) -1\/5 (c) 46 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 2. Let g be q(-3). Solve -s + 12 = -3*c, -g*c - 16 = s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 - 3. Let d(k) = 8*k**2 + 2. What is 4*d(s) + 3*v(s)?\nAnswer: 8*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-168)\/(-672))\/(1 + 93\/(-92)))\/1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111021100102 - 11101?\nAnswer: -1111021111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**3 + 3*m + 0 + m**2 + 1\/4*m**4. Differentiate i(x) with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5. Suppose 2*j - 44 = 4*l, 2*l + 0*l + 2*j + 28 = 0. Let u = 56 + l. Let v(c) = u*c**2 - 25*c**2 - 21*c**2. Give w(v(h)).\nAnswer: 4*h**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2681\/4035 + 3\/1345. Is -205 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 + 60078\/310 - (1 - 3 - 9\/(-5))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 944, 687, 258, -343, -1116, -2061, -3178?\nAnswer: -4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/42)\/((-9)\/441)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -4*n, 3*l = 4*n + 2*l - 13. Let o be -2 + (2 + -3)*-9. Let j be (1 - o)*n*5\/(-30). Solve 5*q + 10 = j*z + 3*q, -3*q - 15 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.9764 + -21.1764. Let j = 2.6 + -3. Put j, t, 4.01 in descending order.\nAnswer: 4.01, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 89, 394, 911, 1634, 2557?\n\"Answer: -f**3 + 112*f**2 - 24*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36184 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/8*0)\/1. Suppose g = c - 3*c + 4. Suppose l - 3*d - 6 = 0, -2*d + 10 = -c*l + 34. Solve -k + l = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1096695 years to centuries.\nAnswer: 0.001096695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/14 + 17664\/(-12600)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4\/7 - 4336*v**3\/7 + 1530708*v**2\/7 - 25611832*v + 98988064 = 0 for v.\nAnswer: 4, 301, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305427, -610852, -916277, -1221702, -1527127, -1832552?\nAnswer: -2137977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-30)*2)\/((-7952)\/1330 + 6). Put -5, -1, 6, -2, n in descending order.\nAnswer: 6, -1, -2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/4)*n*n)**(-31)\/(n\/(n*n**(3\/14)\/n*n))**(-1\/65))**(-2\/189) assuming n is positive.\nAnswer: n**(70531\/171990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 4, 34872, 2 in increasing order.\nAnswer: 2, 4, 84, 34872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2197, 9 in ascending order.\nAnswer: -2197, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37003732859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2920 - -1969. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118349 * -582.3\nAnswer: 68914622.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 3 + (-6 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10336\/7 - -1474. Find the common denominator of w and ((-119)\/28 + 4)\/((-10)\/45).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -21*g + 16. Let k(z) = z. Let f be k(4). Suppose 4 = f*j, -2*i - 6*j = -3*j + 11. Is t(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4283, -16643, -50195, -115535, -223259, -383963, -608243, -906695?\nAnswer: -1289915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15411 - -15416. Solve 0 = -29*h + 30*h - o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w = 50*w - 107*w - 5076 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(20) + sqrt(38))\/(-2*sqrt(200)) - (-1 + 0 + -3*sqrt(2736))**2.\nAnswer: -24625 - 2883*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - ((-14 - (-18 - (-10 - -18))) + -2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 73) + 71 - 14?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270110921 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 222.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 1. Let b(h) = 3*h + 2. Let q = 121 - 125. Give q*b(a) - 7*f(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3)*-12)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 308, 1544, 2780, 4016, 5252?\n\"Answer: 1236*t - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3 + 21*k**2 + 0*k**2 - 22*k**2 + 3*k + 0*k**2 + 5. Let t(r) = 7*r**2 + 2*r + 1. Let m be t(-1). What is b(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7991045 = 7991016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 8*m - 14. Give w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2)\/sqrt(9)*-1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 89, 208, 379, 602?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*-2 - (-16 - -13). Let i = o + 23. Calculate the least common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*u - 6227217 = 8929175. What is the ten thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 not equal to -19590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*81\/63*7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4 + (-2)\/4. Let q be (6\/(-18))\/((5\/9)\/(-5)). Suppose 9 = 5*r - 1. Sort m, q, r in ascending order.\nAnswer: m, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a10 (base 13) in base 12?\nAnswer: -7414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9572. Let t = -0.0427427 + i. Round t to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/(-12))\/((-368)\/736).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v - 62*v = -54518400. What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15 + -12 - ((3 - 4) + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387, -1229, -2623, -4563, -7043, -10057, -13599, -17663?\nAnswer: -22243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t**2 + 6 + 299*t**2 - 3 + 25*t**2 - 5.\nAnswer: 418*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 4\/60*-159.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**3 - 27*b**2 + 4*b - 6. Let k(h) = h**2 + 3. What is 2*k(o) + u(o)?\nAnswer: -7*o**3 - 25*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/35025 + -35033\/280200. What is the closest to 0.39 in -17, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 21*f - 7*f + 2*f - 23*f.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/3 - 42*n. Let w(x) = -5*x - 111. Let s(k) = -2*u(k) - w(k). Let l be s(0). Round l to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 5660907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 7:11 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27284*u - 169 = 38*k - 27289*u, -4*u + 50 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7188 and 15152304.\nAnswer: 15152304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuumwwwqw. What is prob of sequence mu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*h + 126, 2*x - 92 = -x + h. Suppose -3*l = -j + 114, -3*j = -8*j + 3*l + 522. Let n = j + -57. What is the greatest common divisor of x and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.54, -1.02, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -32. What is the third derivative of -j**2 + 6*j**2 - 2*j**4 + 2*j**4 + a*j**4 wrt j?\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 25 - (24 + 8 + -50)) + 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.523 + -0.53. Round r to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*y = 4, -4*w + 2*y - 387 = -395 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*k + 705 - 9528 = 0 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 + 5\/3*j**3 - 2*j + 4*j**2. Let d(k) = k + 1. Determine 8*d(q) - l(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 4*j + 8. Let g be p(-5). Suppose g*a - 4*i - 122 = -0*i, -5*i + 215 = 5*a. Which is bigger: 41 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + a. Let m be j(1). Suppose -m*x = y - 2*x - 12, 5*y + 5*x = 40. Suppose -d = -y*d. Let k(h) = h. Determine k(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 54*x**2 - 104*x - 56. What is v(52)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18 - -2)\/(3\/(-6)). Let w = v + -22. Let n(b) = -b**2 - 31*b + 18. What is the least common multiple of w and n(-31)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*b = 20, h + 5*b - 8 = -h. Calculate the greatest common factor of 92 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/(10\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 413007051745 - 413016552423.9799981. Let g = s - -9500636.98. Let k = -42 - g. Round k to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - -269. List the prime factors of c.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*m**2 + 66*m**2 - 2*m + 4 + 66*m**2)*(3 - 6 + 2)*(21 - 3*m - 21).\nAnswer: 6*m**3 - 6*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -191744693 and 4.51.\nAnswer: -191744688.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29525 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*48\/12*-9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/40 + b**4\/24 - 7*b**2. Let h be z(-1). Solve -h*g = -4*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1168585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1817? (a) -1 (b) -2\/9 (c) -0.3 (d) -11 (e) 0.4 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 215\/4 + (-4)\/(-16). Suppose 2*o - m = -o. Calculate the greatest common factor of 72 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 - 3.036. Let w be 9\/(-21)*2\/3. What is the biggest value in 5, w, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1087581\/52 + 20915. What is the third smallest value in j, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1907, 1\/3, -0.12, 1, 47, 3 in decreasing order.\nAnswer: 1907, 47, 3, 1, 1\/3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 46 = -4*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 20. Suppose -5*q - q = -30. Suppose q = 5*w - l. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19987238694 minus -0.031?\nAnswer: 19987238694.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2)))**41*k**(-1\/6)*k**7)\/(((k*k**(-1)*k)\/k)**(-2\/13)*(k**(-1\/4))**(-3)) assuming k is positive.\nAnswer: k**(-911\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 2. Solve -3*n = -2*i + 11, y*i - 3*n = -6*n - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 7. Suppose 5*g - 3*h + 30 = 0, 2*h + 19 = -2*g - 9. Let p = g - o. Solve -5*u + 2*u + 6 = p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 - 1858. What is the units digit of 0 + 4\/7 + (-2541244)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32050.53m in nanometers?\nAnswer: 32050530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 572421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47512.68l to millilitres.\nAnswer: 47512680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**3 - 4*i**2 - 11*i. Let m(q) = q**2 - 99*q + 1455. Let t be m(18). Let w(v) = v**3 - v**2 - v. Calculate t*w(u) + o(u).\nAnswer: 4*u**3 - u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48598, 97191, 145780, 194365, 242946, 291523, 340096?\nAnswer: 388665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -657 - -675. What is the least common multiple of 22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131 - -2113030?\nAnswer: 2103233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 9*u**2\/2 - 3*u + 7. Let q be m(-2). Which is the second biggest value? (a) -3 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*f)*(f**2 - 4*f**2 + f**2) - 1086*f**2 + 161 + 1090*f**2 - 39*f - 160 + 3*f**3 as z*f**3 + l*f**2 + h + m*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 o when three letters picked without replacement from xxoxoooxog.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -10, 2, 30, 80, 158, 270?\n\"Answer: k**3 - k**2 - 2*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -933 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81140 and 600.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51.886 + -52. Let o = -0.064 - h. Sort 1\/2, -4, 0.4, o in increasing order.\nAnswer: -4, o, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/105)\/(119\/(-1428))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*m + 6, -m = -2*m - 5*g + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158268 and 968?\nAnswer: 316536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 5 (b) -1 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = -3*h + 1781. Let p = h - 203. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5101452 - -2?\nAnswer: -5101450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**2\/5 - 39*t - 126\/5.\nAnswer: -3*(t + 21)*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(1*sqrt(24)\/sqrt(6)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4 - -9)*-2 - -13)*(1 + -2). Let z(i) = 17*i - 1. Let x(q) = -17*q. Determine s*z(b) - 2*x(b).\nAnswer: -17*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**3\/6 - 7*s**2\/2 - 18*s. Calculate a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -15, -33, -57, -87, -123, -165?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34010)\/380 - (-21)\/2*(-2)\/42.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012703 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 65. Solve -x + h = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 2:07 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 10. Let t be w(-10). Suppose -9*k + 6*k + 4*l - 16 = t, 0 = -3*k + 3*l - 12. Solve 0*h - 2*h + 10 = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 17 - -11) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055162733 to 5 dps.\nAnswer: -0.00552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (56\/3)\/(7\/(-63)*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 1 (c) -118 (d) 4 (e) 835 (f) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -123. Solve -f*o = -b + 3 + 10, -5*o - 5 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwp when three letters picked without replacement from eppepedwepwfehefe.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18178040 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358645875?\nAnswer: 3, 5, 7, 317, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 88, 3, 1 in ascending order.\nAnswer: -6, 1, 3, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25815 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: Two letters picked without replacement from {r: 11, b: 9}. What is prob of sequence br?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6338143874 rounded to the nearest 100000?\nAnswer: -6338100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11272, 22532, 33782, 45022, 56252, 67472?\nAnswer: 78682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 7*s - 10. Let l be v(-9). Let r = 5 - -67. Calculate the highest common factor of l and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1544907 and 6?\nAnswer: 3089814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/30)\/((-85)\/(-25) + -1). What is the smallest value in -0.1, d, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 36. Let d be v(-8). Let q(j) = -j**2 - 8*j. Let y be q(-8). Sort y, 1, d.\nAnswer: d, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-33)\/(-2) - ((-4)\/(-8) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 461)*13\/(455\/126). Suppose -3*n = -5*x + i, x - 213 - 123 = -n. What are the prime factors of x?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8360*i - 7223988 + 7223988 - 6*i**2.\nAnswer: -6*i**2 - 8360*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 14*z - 21. Give m(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 333169.\nAnswer: 999507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760480*-22.\nAnswer: -16730560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-40)\/(-5) + -4. Solve l*a + 3*h = 5*h + 10, 5*h = -a + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 31 = -l. Let v = -48 - l. Suppose u - 8*u = v. Solve -n = 3*n - 4*g + 24, u = n + 5*g - 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134024 is divided by 537.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722313592.\nAnswer: 2, 7, 11, 13, 90199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*b + 2. Suppose 3*d - b = d. Solve -5 = -d*u - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 2 + (65 - (30 - -19)) + (0 - 9)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/3 + 6370*u**4\/3 + 76192*u**3\/3 + 126920*u**2\/3 = 0. Calculate u.\nAnswer: -3173, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -39, -56, -73?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 103022966?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y + y)*(6*y + 0*y - 4*y) - 70*y**2 + 2892 - 2892 in the form m*y + f*y**2 + k and give f.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 6. Let c be q(6). Suppose c*l + 70 = 2*l. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8 + w**2 - 14 - 5 + 25*w + 30. Let k be m(-25). Suppose 0 = 21*p - 20*p - k. What is the least common multiple of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 8*t + 3*t + 29, 3*d + 3*t - 21 = 0. What is the units digit of -1 - (d\/1)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + (-182 + 216 + (-19 - 3) - 5)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67869379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -381370000 to the nearest 1000000.\nAnswer: -381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1011111101?\nAnswer: 1100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*m + 720 = -8*m, -3*a + 430 = -m. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/1344 - 500\/42?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581.05 - 581. Which is the nearest to -1\/4? (a) i (b) 2\/15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. Let f(b) = 4*b - 17. Let m(h) = -h + 4. Give l*f(i) + 9*m(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y + 3*y = -164. Suppose -7*z - 4 = -3*z, 3*j - y*z = 151. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*j + 2*d + 7 = -725*j, -25 = 5*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - 2*t**3 + 3*t**3)*(1 - 2 - 1) + (6*t**2 + 2 - 2)*(6*t - 2*t + t).\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3 + 9 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/26*(-5)\/6*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -112100010?\nAnswer: -112100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275656 = 9048*c + 158648 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 271, 528, 759, 952, 1095, 1176, 1183, 1104?\n\"Answer: -2*p**3 - p**2 + 274*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20795?\nAnswer: 5, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 13 = -1. Differentiate -11*v**2 - 16*v**2 - 11*v**2 + 36*v**j - 34 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11123 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 11497 (c) -1\/2 (d) 201\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 19*b**3 + 2 + 20*b**3.\nAnswer: 39*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1239.91 - 1233. Let v = -0.09 - g. Let r = v - -12. Which is the nearest to 2? (a) -2\/3 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 2.137.\nAnswer: 0.08548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(1\/((-25)\/((-300)\/408)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4237 (base 8) to base 12.\nAnswer: 133b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -135. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9288991982?\nAnswer: 2, 4644495991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 214?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225 - 156 + 66)*(-3 - 2*s + 3 + (2*s - 2*s - 2*s)*(-4 + 0 + 5))*(-5 + 1 + 2)*(s**4 + 6*s**4 - 4*s**4).\nAnswer: 3240*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-132) + 3\/(-8)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3033, 4667, 6301, 7935, 9569, 11203?\n\"Answer: 1634*a + 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 4.6. Let z = 3708 + -3701. Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27727143 (base 8) to base 6\nAnswer: -342222215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 17 = -4*z, -4*z + 16*c = 19*c - 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 5 = -11*r - 2*l, -2*r + 3*l - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cciicicc. What is prob of picking 2 i?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*t + 4*z - 5*z, -2*t + 4*z = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6402008867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18858577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3532894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 939157 or 939156?\nAnswer: 939156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13067 + -1354.44.\nAnswer: 11712.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7))**(-46)*p**7*p**(-2\/13)*p)**(-34))**46 assuming p is positive.\nAnswer: p**(-2987240\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -43*f**2 + 356*f - 525. Let g be u(2). Suppose 0*a + a = 3*h - 14, -24 = -5*h + a. Solve 5 + g = -h*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120625339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(405))**2.\nAnswer: -36*sqrt(5) + 413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1927, 3841, 5741, 7621, 9475?\n\"Answer: -d**3 - d**2 + 1924*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 - 13665*n**3 + 687030*n**2 - 8364460*n - 9065160 = 0. What is n?\nAnswer: -1, 26, 2682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/9)\/k)**(-2\/9)*k\/k**(-1\/50)*k*k\/k**(3\/13) assuming k is positive.\nAnswer: k**(148153\/52650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-16 + 2)) + (221 - 242)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560182 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.12 and -235?\nAnswer: 235.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/(y**(6\/11)\/y))\/(y**10\/(y\/((y\/((y*y\/((y\/y**(-2))\/y))\/y))\/y))))**(1\/5) assuming y is positive.\nAnswer: y**(-199\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-79)\/((-170640)\/(-315)))\/((-1)\/(-8))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54890129 is divided by 1175.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1\/4, 164\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -23*n + 7. Let d be y(-5). Suppose 279 = -2*v + 523. What is the third derivative of -d*f**4 + 21*f**2 + v*f**4 + 34*f**6 wrt f?\nAnswer: 4080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40546 is divided by 5792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9.72. Let q = g + -0.08. Let k = 0.4 + q. Which is the nearest to 1? (a) -2 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 2.900105. What is i rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 251*y + 3. What are the prime factors of t(1)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**3 + 60316*k**2 + 45228*k.\nAnswer: 4*k*(k + 3769)*(4*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - (-2 + 25\/(-5)))*1. Let d(i) = -i - 1. Let x(q) = q**2 + q - 1. Let j(b) = 3*b**2 + 3*b - 4. Let r(u) = 4*j(u) - 14*x(u). What is s*r(p) + 2*d(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25145*f**2 + 22*f + 1491249 wrt f.\nAnswer: -50290*f + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 2833136.\nAnswer: 2833136.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (309\/(-12))\/(-103)*1012\/77?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 3, h: 3, d: 5, e: 4}. What is prob of picking 2 e and 1 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 8*v**2 - 7*v + 1. Suppose -13 = -2*i + 1. Let y be s(i). Let z = 19 + y. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-132)\/330 + (-126)\/(-15). Suppose n - 7*n = -b*n. Factor n*g - 1\/2*g**5 + 5\/2*g**3 + 3\/2*g**2 + 0 + 1\/2*g**4.\nAnswer: -g**2*(g - 3)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 - 8*u - 4. Let f be m(-7). Suppose 3*b + 78 = -g + f*g, g - 3*b - 39 = 0. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-20)*(-1 - 4). Let r be (0 - h) + 0 + 8. Suppose 5*v - r*x = v + 69, 0 = x + 1. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 3, -33, -1, -167?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 26\/((-15)\/((-75)\/10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*a**3 + 1)*(-5042 - 5076 + 11438)*(-2 + 2 + 2).\nAnswer: -5280*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1071, -1399, -1741, -2103, -2491, -2911?\n\"Answer: -p**3 - p**2 - 318*p - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290*g**2 - 289*g + 416*g - 201*g**2 wrt g.\nAnswer: -982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/24 and ((-20)\/(-392))\/(2280\/532)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249\/310 + 1\/310. Let z(f) = 2*f - 15. Let u be z(9). Let o be (1 - 1)\/(u + -1). What is the closest to o in d, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + (7 + 1 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/10 - 43\/90. Find the common denominator of k and -61\/57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0521*-1.\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, v: 13}. Give prob of sequence hvv.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 13*v - 13. Let z(b) = -b**2 - 5*b - 7. Let t be 2\/8 - 4\/16. Let d be z(t). Let u be n(d). Calculate the greatest common divisor of 261 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294437899.\nAnswer: 7, 29, 43, 89, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m - 17. Calculate k(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4)\/(-10) + 99\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 + 0*i**4 + 2*i**4)*((-5 + 1 + 3)*(1 + 8 - 11) - 1 + 2 - 4 - 4 + 5 + 1).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 + 169. Suppose -137*a + 147*a - 170770 = c. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15806 or 15814?\nAnswer: 15806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 19*f - 350. Sort f, 5, 4 in increasing order.\nAnswer: 4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -412*v**2 + 69226*v - 1683. Give g(168).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 378644 divided by 378644\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 15*w - 4. Let m be a(-14). Suppose 12*q + 14 = m*q. Let t = 48 - q. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 9 - (1 + -2 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2) + (-12 - 2684). Calculate the smallest common multiple of (-3)\/(-2*(-9)\/(-132)) and (-40)\/(-180) - t\/18.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2\/147, -14, -0.034 in descending order.\nAnswer: 2\/147, -0.034, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 6971*r**3\/3 + 957*r**2\/2 + 1497. Find the second derivative of y(a) wrt a.\nAnswer: 13942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9)*7\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 176*k + 8 - 390*k**2 + 370*k**2 + 28.\nAnswer: -4*(k - 9)*(5*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 + 1193716*c**3 - 28647648*c**2 + 229177088*c - 611133440 = 0?\nAnswer: 8, 298405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -82*r - 46. Let n(b) = 439*b. Calculate p(n(l)).\nAnswer: -35998*l - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 6*c + 29 = -10*c + 12*c, -225*f - 2020 = -c for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z - 136*z + 4*j - 12 = 0, -4*j + 10 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -826*m + 56. Let r be -434*(-1)\/8 - (0 - (-7)\/(-4)). Let t(w) = -75*w + 5. Calculate r*t(q) - 5*o(q).\nAnswer: -70*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:51 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5 = 5*s, 3*o - 5*o + s = -1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 - -196. Suppose 0*v + v - 301 = n. List the prime factors of v.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4901.8 * 0.5\nAnswer: 2450.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/(m\/(m*m**(-5\/8)*m)))*m)\/m)**(-10)\/((m**(-3\/5)\/m)\/m**(-23)) assuming m is positive.\nAnswer: m**(-553\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4855 - 4957 + 5827 - 2077)*(-2*y + y + 2*y) - 4*y + 2*y + y as v*y + o and give v.\nAnswer: -6063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8068, 8042, 8002, 7948, 7880, 7798, 7702?\nAnswer: 7592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(2\/28). Let m be ((-4)\/18)\/((-24)\/18). Which is the second smallest value? (a) t (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1461838 and -25\/14?\nAnswer: 1461838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -14210564 and -14210562 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2055*v - 45338. What is d(-25)?\nAnswer: 6037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8421 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 2*z - 3*z)*((-3 + 5 + 4)*(-4 - 2 + 4) - 2 - 16 + 8) as t + m*z and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/3 + 454415*s\/3 - 454414\/3 = 0.\nAnswer: 1, 454414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 + -0.02.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -3\/5 (c) 1.9 (d) 3 (e) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4334456576985 - -0.07\nAnswer: 4334456576985.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -21. Let m(p) = -p**3 - 7*p**2 - 2*p - 8. What is the units digit of m(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 700 - 707. Is (y - (-153485)\/20)\/(3\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -344\/5. Let p be (-123)\/328 + 68\/352. What is the third biggest value in p, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*i**3 - 42*i**2 - 184*i + 367*i - 183*i + 108*i**2 wrt i?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d**3 - 4*d**2 + 4*d - 9. Let y(c) = 6*c**3 + 2*c**2 - 2*c + 4. Determine -4*a(q) - 9*y(q).\nAnswer: -2*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35725 by -5.\nAnswer: -7145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i**2 + 68*i + 130. Let g be n(-3). Is 75 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 194, 292, 392, 494, 598, 704?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1282 (b) -2.124 (c) 2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (19\/152)\/((-210)\/160)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 31. Let r be y(-29). Sort -1, 5, r, -11 in decreasing order.\nAnswer: 5, r, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbbbxbbbbbbbbbbxb. Give prob of picking 3 x and 1 b.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 850 and 20485.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 18 = 16*n. Calculate the remainder when 249 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233.4893 hours to microseconds.\nAnswer: 840561480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 42*a - 45*a + 3*i, -4*a + i = 3. Suppose -2*x - f + 1507 + 22509 = 0, 5*x - 3*f - 60029 = a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = -93*p - 827 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/59 + 0)*(-3 + 132\/36).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90057961, -180115920, -270173879?\nAnswer: -360231838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from accacaxaaxccaxxv. What is prob of picking 1 c, 2 x, and 1 v?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121.546 decades to months.\nAnswer: 134585.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52155611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13012323132 + 3?\nAnswer: -13012323123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -2\/5, -0.0185, -22, -16 in descending order.\nAnswer: -0.0185, -2\/5, -16, -21, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1388, 4714, 10256, 18014, 27988?\n\"Answer: 1108*l**2 + 2*l + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1b6034 (base 14) to base 9\nAnswer: 1748055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -2\/15, -39591, 96, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001948598131 rounded to six decimal places?\nAnswer: 0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - p + 5*p)*(-260*p - 478*p + 61*p - 38*p) to the form r*p + g + q*p**2 and give q.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16599114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*t = -809*t + 108 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - -2 - 6 - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 30 = 0. Let u be (864\/(-63) - -12)*(-7)\/2. Suppose z*a = u*a + 162. Solve a + 2 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away -88210107.608?\nAnswer: 88210107.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(40\/(-18))\/(34\/(-153))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 3*c**2 + 3*c. Suppose 3*t - 2 = 4. Is g(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16397723471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32789 - -32774.911. Let p = h + 14. Round p to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/6 (c) 2\/5 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 7*w**2 - 2*w + 34. Give s(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768 plus -2.348286409?\nAnswer: -2770.348286409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 2566632.\nAnswer: 33366216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 7:01 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 12\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - p + 1, -5*a - 1 = -p. What is the third smallest value in 2, -1, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - b + 20. Let m be (3\/(-2) + 1)*0. Let j be y(m). What is the common denominator of 3\/5 + (-362)\/j and -27\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177.92 - 175. Let d = -0.08 - v. Let k = -692 - -692.1. Put k, -5, d in descending order.\nAnswer: k, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 6*c**4 + 0*c + 3*c**4 - 6*c**4 + 81*c**2 - c + 1 to v*c**4 + r*c**2 + q*c + k*c**3 + i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 5)*(9*c + 7*c + 6*c + 2).\nAnswer: 198*c + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 63208*a**2 - 948876*a + 2277648.\nAnswer: 4*(a - 12)*(a - 3)*(a + 15817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84292874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(320) - sqrt(320))*-3.\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277008 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 2, r: 1, s: 2, m: 1}. Give prob of sequence lqsr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i - 19. What is the remainder when l(15) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27582895 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 205 = 27*j. Solve -4*a + 9*a - i = 15, j*a = -i + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 132911 + 132932 - 265843.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62006*l - 61992*l = -308 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 5 - -13) + -3. Let w(u) = -d*u**2 + 15*u**2 - 9*u**2. Let n(m) = -3*m. What is w(n(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:14 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155809 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 117, -2\/11 in increasing order.\nAnswer: -2\/11, 0.12, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - -2) + -13 + -2 + 68. Let q = -47 + 73. Calculate the greatest common factor of q and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(52)\/(sqrt(144)\/sqrt(4)) + (-2*(-5 + sqrt(468)))**2.\nAnswer: -719*sqrt(13)\/3 + 1967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65ba + 414?\nAnswer: -61a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)\/(k\/(k**5*k))*(k*k**(-2\/7))\/k**(-9))\/(k*k**(-7)*k**(-3\/4)*(k\/(k\/(k*k**(-2\/5))))\/k**5) assuming k is positive.\nAnswer: k**(3641\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.4 - 3. Let z = -8 - -2. Let p = 163842 + -163843. What is the nearest to 0.2 in z, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3222 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(119) + sqrt(119)*-1*-6 - (sqrt(119)*-1 + sqrt(119))*-2)\/(sqrt(567)*2 + sqrt(112)*2))**2.\nAnswer: -2547\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.278 - 1.12. Let f = -0.042 - v. Sort 3, f, 4, -0.3.\nAnswer: -0.3, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4977*l + 9925*l - 4948*l - 94*l**2.\nAnswer: -94*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 35 + 29 = -4*m, -2*p = 0. Calculate the remainder when 3\/((-12)\/(-16)) - -75 is divided by (7\/2)\/((-2)\/m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15784 - -43227.81414.\nAnswer: 43227.97198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrllrrllrl. What is prob of sequence rl?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -92*b**2 - 2. Let k(r) = -3*r**2. Calculate k(f(c)).\nAnswer: -25392*c**4 - 1104*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*x**2 - 154*x - 58*x**2 + x**3 - 2*x**3 to i*x**2 + y*x**3 + w + o*x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -923 - 5*d + 389 + 534 - 8*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5918, -6043, -6168, -6293?\nAnswer: -6418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -28*g + 818. Determine q(28).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/9)*g*g))**7 assuming g is positive.\nAnswer: g**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0113405201 rounded to 5 decimal places?\nAnswer: 0.01134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54886 - -54885. Suppose 2*p + 2 = -2. Which is the third smallest value? (a) 0 (b) p (c) i (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:42 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, e: 2, m: 3, q: 4, t: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-7)\/(-21)*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:32 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1700, 8078, 19124, 34838, 55220?\nAnswer: 80270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 27?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06733 rounded to 3 dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5316896\/82503 + 4\/9167. Let w = h + 385\/6. What is the common denominator of w and -29\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from mtqqqtqmqqqqq?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (2*sqrt(720) - sqrt(720)) - (sqrt(720) - (1 + sqrt(720) - sqrt(720))*-1))*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(143) + sqrt(143) + (-1*sqrt(143) + sqrt(143))*-2 + sqrt(143)))\/((sqrt(99) - sqrt(99)*1) + sqrt(77)\/(-2*sqrt(7)) + sqrt(11) + sqrt(11)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1 + 1. Let b(n) be the second derivative of -1\/2*n**3 + 6*n + 0*n**2 + 0. What is b(s(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 188 * -34\nAnswer: -6392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.041? (a) -2 (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1389, 2913, 4435, 5955?\nAnswer: 7473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 305\/(-50) + 2. Let x = 3 + -4. Is r greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 7:16 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 23*t + 12. Suppose -8*l = -56 - 8. Let c(z) = 8*z + 4. What is l*c(r) - 3*b(r)?\nAnswer: -5*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -112, -4, 4, -3, 51, -2 in decreasing order.\nAnswer: 51, 4, 2, -2, -3, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 128075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17744 + 803*i - 342*i + 17744 - 316*i.\nAnswer: 145*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/44 and -49\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-24)*1442\/286. Let i = -2\/143 - h. Put -1.7, 2, i in increasing order.\nAnswer: -1.7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -3. What is the tens digit of 20*(63\/j + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 19 = z - 2*g, -3*z = -5*g + 16. Suppose -8 = 2*d + z*f + 3, -4*d = f + 27. What is the tens digit of d\/(-2)*(-154)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 111100?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/98)\/((-1)\/(-20))*22\/770.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by (-222439)\/(-2709) - 2\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -335883, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 2, y: 2, z: 1, r: 1, e: 1}. What is prob of sequence jrey?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*d + i - 24, 2*i - 49 = -5*d. Put d, -3, 0, -2 in increasing order.\nAnswer: -3, -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.030824 + 21.049824. Let d = 150 - 129. Let c = o - d. What is c rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155529\/5 + 31107. Let x be 2*2\/(-8)*-2. Is x bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*l**3 - 283*l**3 + 1130*l**3 - 282*l**3 - 279*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (3 - (4 - 8)) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4386, 17221, 38612, 68559, 107062, 154121, 209736?\nAnswer: 273907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 24. Calculate the smallest common multiple of i(0) and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*s**4 - 2*s*y - 1647*y wrt s.\nAnswer: -124*s**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -32, -92, -5 in decreasing order.\nAnswer: 12, 3, -5, -32, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1746\/3201)\/((-30)\/(-22))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*o = -149, 0*x - 3*o - 90 = -3*x. Calculate the highest common factor of x and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1777*o**2 + 49*o + 1533*o**2 - 50*o.\nAnswer: -244*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565\/10 + 1\/(2 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 2*w**2. Let p be h(2). Suppose p = -i - 2*i + 27. Calculate the highest common divisor of 36 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000069426138 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9707*r - 8310*r = -29337 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 1\/378*n**7 + 16\/45*n**5 + 0*n**2 + 0*n**3 + 0*n**4 + 0 + 84*n + 8\/135*n**6. Factor x(h).\nAnswer: h**3*(h + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12265339 is divided by 4563.\nAnswer: 4558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.45591 - 11.39. Round i to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893*w + 883*w + 35920 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Suppose 0 = -8*g + 3*g - 5*m, 0 = m - 5. Let s(j) = -j. Suppose 0 = 27*f - 23*f + 48. Calculate f*s(k) + g*x(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.892 and -3808?\nAnswer: 3396.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmmmfmmm. What is prob of picking 4 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times -23690710\nAnswer: 2132163.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/83)\/n*n**(-6)\/n*n assuming n is positive.\nAnswer: n**(-583\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 3. Let q(n) = -n**4 - 4*n**2 + n + 4. Let g = 2 + -5. Let t(l) = g*q(l) + 4*u(l). Find the second derivative of t(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 934\/(-30) - (-48)\/360. Let a = 27 + c. Let u be (4239976\/a)\/(-2) + 3. Round u to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least as big as 34690\/523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from ojdlmlmoooojmjojfm?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**7\/147 + 3*w**5\/70 + w**4\/21 + 6*w. Let h(x) = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 159, -4, -37, -1.\nAnswer: -37, -4, -1, 1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, 0 = -0*h - 2*h - 5*d - 500. Calculate the common denominator of 615\/30*(-2)\/(-40) and (-23)\/10 - (-25)\/h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/(-8))*(15664\/2848)\/((-2)\/(-5)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 - 366*b + 4675. What is f(22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*c + 310, -4*c = 3*s - c - 162. Calculate the remainder when s is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 17. What is the units digit of w(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 848 (base 12) to base 2\nAnswer: 10010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 3, g: 1, b: 1}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -15464\nAnswer: 1\/15464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -55101993925.\nAnswer: -55101993924.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2383014 is divided by 220?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*j**3 + 824*j**2 + j - 7947 wrt j?\nAnswer: 330*j + 1648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x + 342. Let f be m(38). Let b(z) be the first derivative of -7\/3*z**3 + f*z + 3\/4*z**4 + 0*z**2 + 4. Find the third derivative of b(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + -4 + 2 + 2*sqrt(245) + 2))**2 + -1.\nAnswer: -700*sqrt(5) + 24524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1918, -8292, -18922, -33814, -52974, -76408, -104122, -136122?\n\"Answer: -v**3 - 2122*v**2 - v + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.137 + 1.413. Let s = t - 14.9. Round s to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/11, 0.4, -2, -10\/247 in ascending order.\nAnswer: -2, -0.1, -10\/247, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5750*h**2 - 1044?\nAnswer: 11500*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28315735 divided by 35?\nAnswer: 809021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 2*s**3 + 13967180*s**2 - 13967180*s**2.\nAnswer: -2*s**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14793 divided by 12\nAnswer: 4931\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -1\/60*a**5 - 11*a**2 - 1\/24*a**4 + 0*a**3 + 0 + 0*a. Give q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = 4*m, 0 = 5*x - 3*m + 48. Let j be 4\/(x\/1)*-90. Suppose -j = -8*g + 2*g. Which is the third smallest value? (a) 1 (b) g (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**23\/((((g\/g**(1\/3))\/g)\/g*g)\/g*g)**(-31) assuming g is positive.\nAnswer: g**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k - k**3)*(2*k + 0*k - 3*k - 3*k - 3*k + 18*k + (3*k - 2 + 2)*(2 - 1 + 0)) + 8*k**3 - k**4 - 8*k**3.\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**3 - 208*o**3 + 224*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38661, -38664, -38679, -38712, -38769, -38856, -38979?\n\"Answer: -l**3 + 4*l - 38664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 413445 (base 6) in base 7?\nAnswer: 165566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/10)\/(-9) + (-87312)\/37536\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37295585.\nAnswer: 5, 199, 37483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 3.2. Let k = 28.09 + -28. Which is the closest to -1? (a) 0.4 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18357 + -36341?\nAnswer: -36340.81643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 6:56 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 17, 63, 127, 209?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyokoauaokoko. Give prob of sequence ouue.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, -0.44, -0.2 in decreasing order.\nAnswer: 4, -0.2, -1\/3, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 798*s - 797*s - 9. Which is smaller: s or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.6825 years to centuries.\nAnswer: 4.016825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 213100032223 (base 4) in base 15?\nAnswer: d83db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-380)\/2)\/((40\/(-6))\/(62\/(-186)) - 22)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.087 - 0.457. Let p = u - -0.27. Which is the closest to p? (a) 2 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*a - 5, 2*h - 12*a = -16*a - 6. Let t be (h*(-306)\/24)\/((-6)\/(-16)). Calculate the highest common divisor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 14 - 4 = 3*f, 0 = 2*f - 5*o - 2. Let z = f - 6. Suppose -5*r + 15 = 4*g, 5*r - 6 = 3*r + 2*g. Solve z = -b - r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -571\/4 - -13705\/96. Let y(z) be the third derivative of -1\/24*z**3 - t*z**4 + 1\/240*z**5 + 0 + 3*z**2 + 0*z + 1\/480*z**6. Determine f so that y(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 137772.\nAnswer: -7\/34443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 10 = 4*y, -n - n - 4*y = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 s when three letters picked without replacement from sssysysy.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s + 480 = -53*s - 681 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 31549578905.2.\nAnswer: -31549578921.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 2*b**4 + b - b - 2*b**2 + b**4 as j*b**4 + t*b**2 + r + k*b + n*b**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -459292 (base 10) in base 7?\nAnswer: -3622021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62463762?\nAnswer: 2, 3, 3470209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1441, -3 in descending order.\nAnswer: 0, -3, -1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*h - 11 = 0, 4*o - 47*h + 43*h + 8 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 3, -4\/3, -2\/3, 108, 2\/3 in descending order.\nAnswer: 108, 3, 2\/3, -2\/3, -4\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9492 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4210877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7803 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 12630*v**2 + 7583445*v - 501554700.\nAnswer: 5*(v - 60)*(v + 1293)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-224)\/84)\/(3\/(-9)) - 5\/1. Solve r*g + 12 = 3*s, 4 = 3*s - g - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/275 + 13056\/935?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/3 (c) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1246967333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/((n**3*n)\/n))\/n*n**18)\/((n**(-15)*n)\/(n*n\/n**12*n)) assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 956956?\nAnswer: 54546492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.252712295 to five dps.\nAnswer: 0.25271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 293875 divided by 5\nAnswer: 58775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -118, -103, -72, -19, 62, 177?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-6 - (0 + -3)). Let n(q) = -q + 1. Let t(m) = -3*m**2 + 6*m - 6. Let c(w) = -5*n(w) - t(w). Calculate c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**3 - 10454*q**2\/19 + 140060*q\/19 - 2944\/19 = 0.\nAnswer: 2\/95, 23, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - 2. Let d(x) = 6*x**3 - 7*x**2 + 107. Calculate 2*d(f) + 14*p(f).\nAnswer: -2*f**3 + 186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 z when four letters picked without replacement from zdpzdp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1999, -1756, -1513?\n\"Answer: 243*f - 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjgaoygoayyy. What is prob of picking 1 a and 1 j?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 42910*r + 12 - 21459*r - 21449*r.\nAnswer: -8*r**2 + 2*r + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 3534979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4354575 by 3.\nAnswer: 1451525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let z(i) = -i**3 - i**2 + 6*i - 5. Let d be z(2). Calculate f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -86 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215.986 - -0.014. Let x = -221.84 + m. Let f = x + -0.16. What is the biggest value in 1\/3, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 7. Let v(g) = g - 3. Let t(s) = -2*k(s) - 5*v(s). Let i be t(1). What is the derivative of 1 - 16*d**2 + 4 + d**i + 3 wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2260 + 2279. Let u(j) = 2*j**2 - 36*j - 27. Calculate u(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f\/(f\/f**3)*f*f*f)\/(f**1\/f*f*f**(6\/11)))\/((f**(2\/9)\/((((f*f**(-3\/11)*f)\/f)\/f)\/f))\/(f*f**(-1\/4))**(-3\/2)) assuming f is positive.\nAnswer: f**(6205\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(20)\/sqrt(4) + sqrt(5))*5 + sqrt(5)).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/120 - x**5\/20 + x**3\/3 - 3*x**2. Let b(g) be the first derivative of h(g). Determine f so that b(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 6025.\nAnswer: -21\/6025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1576\/(-3) + (-4)\/6. Find the common denominator of 16\/(-80) - q\/80 and 107\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let h(c) = -5*c**2 - 2*c. Let z(j) = -9*j**2 - 5*j. Let f(x) = 5*h(x) - 2*z(x). Give f(m(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/785 - 227\/50240. Let j = b + 7199\/320. Let k = 661\/4 + -4705\/28. Calculate the common denominator of j and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -367, -565, -763, -961?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970613 is divided by 121140.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5 + 5. What is the second derivative of 2*g**5 - t*g + 7*g + 6*g wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (-188)\/((-66)\/(-220)*-20).\nAnswer: 79\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q. Suppose -5*g - a + 5 = -3*a, -4*a - 4 = -4*g. Suppose q = -i + 3 - g. Solve 0 = -7*t + i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**2*q**2 + 2*l**2 + l*q**3 + 3*q - 93 with respect to q.\nAnswer: 10*l**2*q + 3*l*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/6360 and 7\/72.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10443143 + 0?\nAnswer: 10443143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/12831 and 117\/2632?\nAnswer: 102648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgcfbfcfeffeucbuefef. What is prob of picking 1 g and 1 f?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11505487*d*m**2*n**2 - 73*d*m*n**2 - 22215*d - m*n**2 wrt m.\nAnswer: 23010974*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 178?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 516568217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 - 5*o - 34. Let y be h(-5). Which is the smallest value? (a) 5 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14163 (base 10) to base 9\nAnswer: -21376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + 5\/((-10)\/6). Suppose 3*v = -w + 58, -85 - 3 = -3*v + t*w. Let -v*x**3 - x**4 - 20*x**3 + 4*x + 38*x**3 = 0. Calculate x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0160727 rounded to 4 dps?\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 24. Solve -4*l + s - 5*l**2 + 9*l - 2 + 6 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 2 s when four letters picked without replacement from srrrrmrpmsccrprr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l. Suppose -2*j = -2*f - 4, -j + 2*f - 3 = -6. Let y be (8\/(-2))\/((-1)\/(j\/2)). Solve y*p - x - 3 = 4*p, -2*x - 2 = l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 34\/3*a**2 - 54 + 2\/3*a**3 + 42*a = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*x. Solve d = -d - x*g - 8, g = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4932*v + 5122*v - 4370 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let u(s) = 2 - 2 + 3*s**m - s**2. Let z(j) = -j. Let g(q) = 2*q. Let v(y) = g(y) + 3*z(y). Calculate u(v(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.3 - 3.2999997. Round g to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2130022 and 24?\nAnswer: 25560264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-234) + 1\/6. Let z(w) = -w**3 + w**2 - w + 15. Calculate z(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 1.1. Which is the closest to 2? (a) -2\/3 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Calculate d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p - 4. Let d be v(-6). Let f(b) = d - 50 - b. Let o(j) be the first derivative of 2*j**2 - 1. Determine o(f(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/5)\/(-1*(-1)\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -7 + 1. Let v be ((-15)\/(-9))\/(2\/b). Suppose -v*p + 2*p + 75 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q - 2*q + q)*(-6 + 1 + 4) - q + 4*q - 5*q - 32*q + 3 - 2 - 2)*(0*q**3 + q**3 + 0*q**3).\nAnswer: -35*q**4 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**2*q + 78747*i**2 - 112832*i*q wrt q.\nAnswer: 3*i**2 - 112832*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.33 to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 61, 0.15, 5, -7.\nAnswer: -7, -5, 0.15, 1\/3, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 6*c**2 - c - 1. Suppose -6*w + 3*y - 27 = -w, -w = -3*y + 3. Let g be m(w). Solve 0 = -x - g, r - 2 - 23 = 5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 0, -5\/61?\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8839a83 (base 11) to base 9.\nAnswer: 32171742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - bb856?\nAnswer: -bb854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4768251*i**2 + 5*i + 1412380 wrt i?\nAnswer: -9536502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3780122706.\nAnswer: 2, 3, 210006817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 905048923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 4*b. Suppose -4*c - 21 + 37 = b. Solve -c*l - 41 = -25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -512 + 1182. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(5\/(-380)))\/1 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 0*w = 0. Let i be 0 + 3\/(-6)*w. Suppose i*r = -4*r + 28. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10840 - -12713. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.94582 at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 - 1)) + (-7 - (5 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -3 - -3) + (0 - 5) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2518843788.\nAnswer: 2, 3, 69967883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764451 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2537388 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 12, 27 = 5*y + 5*n - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14418 + 12?\nAnswer: 14431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from nrgthntz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116320.\nAnswer: 2, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 103667940*z**2 - 671689748652288*z + 4701833320296448.\nAnswer: -4*(z - 7)*(z + 12958496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17820 is divided by 4436?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22750 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 60. Suppose 5*j - 17 = g. Let d(q) = -q**2 + 6*q - 3. Let l be d(4). What is the second biggest value in j, l, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1338, -1527, -1840, -2277, -2838, -3523, -4332?\nAnswer: -5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -246 + 248 - (5 - 1) - -3 - -12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1617*u + 29 = -4*n - 1620*u, -2*n = -4*u - 24. What is the closest to -3 in -0.3, n, -4\/7, 0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 602.391243 and 3.549.\nAnswer: 605.940243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 507 - 169. Suppose -h = 12 - s. Let t = 36 + -26. Calculate the greatest common factor of h and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 751689*x**2\/2 + 17340*x + 200.\nAnswer: (867*x + 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 8*k - 1. Let t be 5 + (-4 - (-3 + -2)). Calculate w(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2985, 11, 2, -1, -2 in descending order.\nAnswer: 2985, 11, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(32) + 0 + -3.\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 38 (c) 0.4 (d) 45\/2 (e) 58 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220232 - -213100?\nAnswer: 1033332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-1323)*700\/(-200).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.048, 3\/1748, 0.5 in decreasing order.\nAnswer: 0.5, 2\/5, 0.048, 3\/1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/770 and (1 + (-142)\/(-22))\/(339 + -87).\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -698441 plus 4?\nAnswer: -698437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 452305700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -510333, -8\/7, -2\/5?\nAnswer: -510333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times -31\nAnswer: -6.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*s + 6286 = -4894 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + p**2)*(-1 + 39*p**2 - 21*p**2 + 2).\nAnswer: 18*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 0.07, 28, -2\/17, 1\/4 in ascending order.\nAnswer: -2\/17, -2\/23, 0.07, 1\/4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23240\/3400 - 150\/(-85)?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -0.39 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, -4, -17, 3, -23, -0.2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.154 times -0.216\nAnswer: 0.033264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {i: 2, r: 1, u: 3, l: 4, b: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112.122 + -111. Let w = -1.1 + n. Let o = w - 0.022097. What is o rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + j + 31 - 31 + 9*j + (-3*j + 2*j - j)*(0 - 4 + 2).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 16. Let f = x - 22. Suppose 24*l - f*l = 879. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0032, 5, -2\/9, 6\/5?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*x - 72*x = -188*x - 5900 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + q + 4)*((0 + 0 + 2*q**2)*(q**2 + 2*q**2 - 5*q**2) + 211*q**4 + 846*q**4 - 185*q**4).\nAnswer: 868*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let j be t(5). Let h(u) = -2 + j*u + 3 - 5*u + u. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 0*u**3 + 0*u**3)*(2*u - 2*u + 3*u) + u**3 + 2*u**5 - u**3 + (-1 + u**3 + 1)*(-2*u**2 - 8*u**2 + u**2 - u).\nAnswer: -13*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 6. Let m be x(-5). Let o = m - 1. Let l = -118 + 120. Solve -7*p - 2*a = -l*p + o, -5*p = a + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1045 - 0.1045. What is the third smallest value in -0.0234, o, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, q: 10}. What is prob of picking 2 u and 2 q?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -129*(-1)\/(-15) + 9. Which is smaller: -2349 or y?\nAnswer: -2349","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**8\/6720 - i**7\/315 - i**6\/120 - i**5\/24 + 115*i**4\/6 - 7*i + 4. Let m(v) be the third derivative of b(v). What is m(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 1, y: 1, n: 1, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3519 and 30\/1649.\nAnswer: 341343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x**8)\/(x*x**(-1\/4))**10)\/(x**(-10\/3)*x*x**10)**36 assuming x is positive.\nAnswer: x**(-593\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150782 and 1675.\nAnswer: 252559850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4321427520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r - 3. Let i be g(-1). Suppose 3*z = 0, 0 = -w + 5*z - z - 5. Put 78, i, w in decreasing order.\nAnswer: 78, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 3ca2d?\nAnswer: -3ca29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*3\/((-12)\/20). Suppose -9 + 4 = -a*m. Solve -2*z + m = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3459 + 3471. What is the smallest common multiple of 568 and r?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, -11, 27\/157 in decreasing order.\nAnswer: 1\/3, 27\/157, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5328)\/(-40))\/(-37))\/2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92656.476 rounded to the nearest 10?\nAnswer: -92660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/9 and 137\/3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + 149 - 150 + 34*r**3 + 0*r**2 + r**2 in the form l + y*r**4 + x*r + c*r**2 + i*r**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -c78b (base 15) in base 14?\nAnswer: -1154a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d - 7*d - 6*d + 4*d - 8*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/(((-170)\/(-4976495))\/((-2)\/(-1)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j - 85. Calculate n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:55 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z = 8089 + 4392 - 3121. What is the least common multiple of z and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245396660.\nAnswer: 2, 5, 23, 337, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Suppose 6 - 9 = t. Is 9 a factor of (t\/2)\/(u\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, y: 2, w: 5, g: 1, r: 1, j: 2}. What is prob of picking 2 j and 1 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:10 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1923.037 + 369201.\nAnswer: 367277.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13706 = 8*d + 6*d. Let b = -908 - d. Calculate the remainder when b is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 16725*a**2 + 13212315*a + 1311899605 = 0 for a.\nAnswer: -89, 1717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y + 4. Let t be d(-4). Let l = 35 + t. Suppose -l = 2*v - 7, 8 = -3*f + 4*v. Solve -3*u + 2*u + k + 1 = 0, -k - 2 = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 416*r + 2999. Calculate x(-7).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 0, -20, 4, 1.\nAnswer: -28, -20, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*(p\/p**21)\/p*p)\/(p\/((p\/(p**(-4)*p))\/p))*p**26\/p*p*p**(-14) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*c - 2*b*j**3 + 4*b*j + 6372*c*j - 35113 wrt j?\nAnswer: -6*b*j**2 + 4*b + 6372*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -2)*(-2 - -1 - (-178)\/445).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 2*w - 1. Let c be d(-2). Suppose 0 = -c*v + 109 - 25. Do 13 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/((-14)\/126*18\/(-2)). Let u(r) = j*r + 4 - 10 - 84*r**2 - 75*r**2 + 158*r**2. Calculate u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037941503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 12*b + 0*b**2 - 1\/48*b**4 + 0 + 0*b**3. Factor k(z).\nAnswer: -z**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*c - 4 = -0*y, 12 = -3*c. Is (-36)\/24 - (-314)\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.319380125 rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.2551 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m - 34*m + 13*m + 8*m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o - 6. Does 11 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 9*c + 8*c + 1279, 4*c = -3*y - 1924. Let s = -629 - y. What is the highest common factor of 891 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/3 - 21*z**2 - 118*z + 952\/3 = 0?\nAnswer: -7, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-4)*(-3)\/2*1448\/(-2715).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(0 - m + 0) - 28*m + 53*m + 60*m + 3178 - 41*m - 3178 in the form c*m + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 t, and 1 u when four letters picked without replacement from {t: 2, a: 1, u: 4, p: 9}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**6\/3 + 4*m**5\/3 - 3*m**4\/2 + 4*m**3\/9 + 41. What is g in s(g) = 0?\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -28*c + 9*c + 9*c + 0*c - c**2. Let m be x(-8). Solve -4*w - 5 = 2*o - o, 2*w - 4*o + m = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3793*j + 2 - 2 - 3803*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 1, l: 2}. What is prob of sequence sw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.4951 litres to millilitres.\nAnswer: 238495.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1037\/4212 - 23\/156. Let v = 2981\/162 + z. What is the common denominator of v and 127\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.059 - -0.009. Let k = 0.45 - g. Let y = -16 + 15. Sort k, 2\/3, y in decreasing order.\nAnswer: 2\/3, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:27 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s - 1250 - 45*s - 62*s - 3*s**2 + s**2.\nAnswer: -2*(s + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x + 0 + 1\/7*x**5 + 0*x**2 + 2\/7*x**3 + 3\/7*x**4.\nAnswer: x**3*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -2 (c) -14115 (d) 1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7159 and 0.02.\nAnswer: 7159.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8280*t - 8250*t = 2580 for t.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 165375192*g - 165375188.\nAnswer: -4*(g + 1)*(g + 41343797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -82. Suppose -c*a - 288 - 1322 = 0. Let i = 9 - a. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2113987l to millilitres.\nAnswer: 211.3987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187938382 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -33 - (6 + -14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -350, -401, -496, -641, -842, -1105?\n\"Answer: -z**3 - 16*z**2 + 4*z - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417532617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-4))\/h))**(2\/61)*(h\/(h*h*h**(-13)*h))\/h*h\/(h*h\/h**(-4)*h) assuming h is positive.\nAnswer: h**(238\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217805 and 980?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 5*a**8\/28 + 11*a**4\/12 - 9*a. Find the third derivative of d(i) wrt i.\nAnswer: 1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 27*p + 38. Let v be w(-29). Calculate the highest common factor of 48 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 3*h**2 - 3*h - 3. Suppose j = 2*j. Suppose -s - 25 = 3*n - j*n, 0 = -5*s - 3*n - 65. Let w be (-16)\/s*(-10)\/(-4). Determine c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -10\/7, -0.012, -6 in decreasing order.\nAnswer: -0.012, -10\/7, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15462 is divided by 430.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1210 and 122936.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 2*n**2 + 5*n - 2. Let i be m(3). Suppose 3 = -y, s - i*s - y = -12. Solve 2*p = -5*g - 12, 2*g + 0*g + s*p = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/8 and -107\/6042.\nAnswer: 24168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.89.\nAnswer: 2.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:20 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16208711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 - -173. What is the least common multiple of k and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -577 + 135. Let m = 7 + -5. Is 4\/m - (n + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57060012?\nAnswer: 2, 3, 53, 73, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.04. Let z be (-3)\/(12\/34) + -1 + (13 - 4). Which is the nearest to z? (a) q (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 76 + 61 - 137 - 23*o. Let b(c) = 34*c. Give b(u(y)).\nAnswer: -782*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**8\/40320 + z**7\/2520 + z**6\/360 + z**5\/90 - 41*z**4\/24 - 8*z**2. Let v(r) be the second derivative of f(r). Factor v(p).\nAnswer: (p + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amam when four letters picked without replacement from maammmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-2)*b)*b\/((b**13*b)\/b)*b\/(b\/(b\/(b**(-3\/4)\/b)))*b**6 assuming b is positive.\nAnswer: b**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24420546 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -26 - 4. Let k be (-168)\/b - (-6)\/(-10). Suppose -a + k = 3. Calculate the least common multiple of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = -60. Let o = -10 + y. Let q(n) = -12*n**o + 5*n**2 + 3*n**2. Let h(b) = -3*b**2. Calculate h(q(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 129347669 - 17521669 = 0. What is f rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3000 and 16344?\nAnswer: 2043000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*r - 4, -2*r = 2*w - 6*r + 4. Let a = -1 + 1. Suppose -w*j + 5*j - 21 = a. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 - 2*k**2 + 4*k - 213. Let n be q(0). Let z = 215 + n. Factor 1\/4*u**z + 1\/2 - 3\/4*u.\nAnswer: (u - 2)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3938\/7 + -563. Which is the second biggest value? (a) -3 (b) l (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172369 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2762*v**4 - 6*v**2 - 98*v wrt v?\nAnswer: -66288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeegpd. Give prob of picking 2 e and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2. Suppose 11 + 1 = -4*k + 2*s, -4*k + 5*s = 0. Let v = k - -7. Let w(q) = -8*q**2 + 5 - 7*q**v + 16*q**2. Determine w(c(y)).\nAnswer: y**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*j**4*m + 32380*j**4 - 6990*m - 12 wrt j.\nAnswer: 64*j**3*m + 129520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426056 = 4*d + 110828. List the prime factors of d.\nAnswer: 3, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3 - 3)*(-14 + h + 12 - 3*h).\nAnswer: -4*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22756132.\nAnswer: 2, 7, 17, 47807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 3*r - r + 1 - r. Let f(v) = 4*v + 1. Suppose -22*k = 74149 - 74215. Determine k*f(c) - 4*w(c).\nAnswer: -8*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 5*q + 2*q + 3*q. Let y(b) be the third derivative of -b**4\/24 + 4*b**2. Give t(y(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 51*g - 624. Let a be s(24). Solve -16 = 10*b + a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.10603 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(3\/1)\/6*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvxxxvvvxvvxx. What is prob of picking 4 v?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8083560 and 268140?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, 2.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 26 + 26 + y**2. Let t(b) = -b**2 - 2*b. Let c(u) = 6*u**2 + 10*u. Let p(w) = -2*c(w) - 11*t(w). Let i = -3 - -1. Calculate i*g(k) - 3*p(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23536333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -395 - -421. Solve -5*z + d = 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1975645 and 54045?\nAnswer: 17780805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 2*p - 1. Let s be r(3). Let a = 6 + s. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -79530?\nAnswer: 79532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 13 - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d)\/d)**9*(d**(-1)*d)**14 assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -276, 322, 6 in decreasing order.\nAnswer: 322, 6, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*l + 3*l, 2*l + 129 = z. Suppose -2*r + 56 = -3*w, -r + 8 + 7 = 5*w. What is the remainder when z is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, e: 5}. Give prob of sequence aeae.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l + 1. Let r be (-6)\/(-9) + (-2)\/((-6)\/13). Suppose -37 = -r*i - 12. List the prime factors of j(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 246 - 244. Solve -5*d**f - 4415 - 84*d - 1030 + 280*d + 134*d = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14600760 and 46764?\nAnswer: 131406840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 402221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t + 2)*(0 + t + 0) - 4*t**2 - 3*t**2 + 6*t**2 - 484*t + 107*t**2 + 484*t.\nAnswer: 104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -4 (c) -23667238 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 681.\nAnswer: -53\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mussmsvsvmsmvs. What is prob of picking 1 v and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 13*m - 50. Suppose -3*o - 805 = -m*o. Let w = -90 + o. What is the remainder when 148 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1176 (base 11) to base 6\nAnswer: 11035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/((d*d**(-1)*d*d)\/d))\/d*d)\/d)\/(d*d**(-5)*d))\/((d*d**(-1\/12))\/d**2))\/(d**(2\/3)*d**(-6\/7)*d**6\/d**(-3\/8)) assuming d is positive.\nAnswer: d**(-521\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245568627?\nAnswer: 3, 2423, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 + 479 - 159 - 1960*v - 161 as a + d*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3929878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 6*z + 30 + z**2 + 0*z**2 + 6*z. What are the prime factors of l(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 2834*m**4 + 1257350*m**3 + 165508374*m**2 - 334800144*m + 168031584 = 0.\nAnswer: -588, -243, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10*r = -75. Suppose -2*t = -3*f + 1, 0 = 4*f - 6*t + 2*t - 8. Sort f, -1, r.\nAnswer: f, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((72\/15)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*d = -400, -2 + 7 = -5*d. Suppose -v = 5*j + 46. Let x be (-8)\/(-3) + 24\/j. Sort -5, -2, x in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/17, 338 in descending order.\nAnswer: 338, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10484000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o - 91 = 35*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 43. Let r = 4 + -3. What is the nearest to 0 in -3, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - x + 24, 2*o = -3*o - 5*x + 30. Suppose -5*c = 20, 5*k + 2*c + 144 = o*k. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*h + 3250 - 3496. Let n(d) = -7*d - 8. Let v(s) be the third derivative of s**4\/4 + 7*s**3\/6 - s**2. What is h*v(g) - 5*n(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 34981206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 71*x - 192. Let c be l(12). Suppose 2*n + 655 = -0*n + 3*j, 2*n - 4*j + c = 0. What is n rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -446378776*u**4 - 390174319 wrt u?\nAnswer: -1785515104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72813 is divided by 768.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -504, -2, 54, 0 in descending order.\nAnswer: 54, 0, -2, -5, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42461 minus -6.692114?\nAnswer: -42454.307886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813 is divided by 1199?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, s: 2, u: 3, x: 9}. Give prob of picking 1 s, 1 y, and 2 u.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186182*c + 372320*c - 186290*c.\nAnswer: -152*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w + 15. Let f be l(-2). Sort 6, 0, f in ascending order.\nAnswer: f, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (59\/(-2))\/((-3)\/6). Let g be (-3)\/(-3*1) + u. Suppose 8*k - g = 3*k. Calculate the greatest common divisor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(12\/7)*(j**1)**(-12\/7)*((j*j**(-1\/4)\/j)\/j)**(-46)*(j\/((j*j**6*j)\/j))\/j*j\/j**(1\/6) assuming j is positive.\nAnswer: j**(1006\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9681 = 4*s, 0 = -4*s + 30*m - 32*m + 9674. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.055 - 14.055. Let i = 14.6 + o. Which is the biggest value? (a) -3 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqtqjjtq. Give prob of picking 1 j and 1 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 11 = -a. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36904 = 5*v + 4*x + 8151, -v - 4*x = -5757. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-4)*1\/(45\/(-6)). Suppose -u = -5*u + 16. Put -1, u, w in decreasing order.\nAnswer: u, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1415*b + 11. What is the tens digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (0 + 3 + sqrt(1573) - sqrt(1573)))*2*1.\nAnswer: -6 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 28*l = 54. Let t = 19 + l. Which is greater: t or 8\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and (-2)\/8 + (-3795)\/(-60).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 89)*8\/64 and 36\/41?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 56712404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1992 and 1128?\nAnswer: 93624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1598*d**2 + 6908*d**2 + 4428*d**2 + 1 + 805*d**2 to v*d + o + g*d**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + -204. Let q = s + 279. Solve -6*g + q = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/179 + 189\/895. Put s, 3, -2, 13 in descending order.\nAnswer: 13, 3, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 1. Let h(z) = z**2 + 3*z - 7. Let y(o) = -4*g(o) + h(o). Let f be y(4). What is the units digit of 2 + 0\/(-3) + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 383 - s**2 - 389 + 8*s. Calculate f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152*a - 2748*a - 2315*a.\nAnswer: -3911*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 984584602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = g - 1, -5*s - 4*g + 23 - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/(1\/7). Let v be (96\/(-10))\/(4\/(-20)). Suppose -5*z + a = -v. What is the remainder when 32 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 397912 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Suppose -h + 4*h - 270000 = r. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/7)*i**(-1\/18))\/(i**(-32)\/i*i*i\/(i*i**(2\/39)*i)*i) assuming i is positive.\nAnswer: i**(53345\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/3 (b) 22 (c) 270 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1773\nAnswer: -10638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9540 and 99375?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(6\/(-2)))\/(2\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 3*j = -90. Let a(h) = -h + 24. Let o be a(j). Solve -3*q - o = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q. Let f(s) = -5*s**3 + 6*s**2 + 9*s - 4. Let z(j) = f(j) + 6*g(j). Is 16 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:08 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 + 118. Calculate the smallest common multiple of c and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.6938278 months?\nAnswer: 0.00022448565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p + 3. Let d(c) = -26*c - 5. Determine 3*d(r) + 5*v(r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - -7.96. Let t = 100 - 99.737. Let w = 0.063 - t. Are w and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 476 - 440. Suppose 5*b - 3*h + 251 = 0, 2*b + 3*h - 4*h + 100 = 0. Let i = r - b. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 - 7*z. Let p(b) = -9*b**2 - 6*b. Let v(u) = 6*c(u) - 7*p(u). Let a(x) = 14*x. Calculate v(a(r)).\nAnswer: 588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1086*v + 1813 + 23172 + 16283 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42787993 rounded to the nearest 10000?\nAnswer: -42790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -580, -579, -576, -571?\n\"Answer: r**2 - 2*r - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, j: 1, z: 1, w: 1}. What is prob of sequence je?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 4*l - 34*v + 30*v, -5*v = -25. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 + 21989159*w**2 + 263869800*w + 791609292 = 0.\nAnswer: -21989147, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -21. Let r = -4 - p. Suppose r = m - 0. Calculate the lowest common multiple of 8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -22?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - (-17)\/((-2295)\/(-375)). Solve -6 = i*p + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 5, d: 6, i: 3}. What is prob of picking 3 d and 1 z?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*((v**(-1\/11)\/v*v)\/v)\/v)*v)**43\/(v**(-17)*v*v**(-14)*v) assuming v is positive.\nAnswer: v**(2254\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let h = 529 - 536. Let s be (r - 29\/h)*2. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 34 (b) -96 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:33 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/17 - 32*m**2\/17 - 1240*m\/17 - 7200\/17.\nAnswer: 2*(m - 36)*(m + 10)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 316*u - 12482 = 0. What is u?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + t = -4*t - 73, 0 = p + 3*t - 15. What is the remainder when 102 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:59 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/3683116 and 37\/8?\nAnswer: 7366232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11296126 (base 10) in base 4?\nAnswer: 223011311332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccycyc. Give prob of picking 2 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 28*g**2 - 2*g - 40. Determine t(-28).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770*x = 772*x - 10. Suppose -3*l + x*y = l - 37, 2*l = 2*y + 16. Let 0*c + 11\/2*c**l + 1\/2*c**5 + 0 + 3*c**4 + 3*c**2 = 0. Calculate c.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20792, -1, -12 in decreasing order.\nAnswer: 20792, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 2280. Let i(k) = k + 761. Calculate -7*i(z) + 2*y(z).\nAnswer: -3*z - 767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11.2. Let n = 3.4 + -1.9. Is n equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 + 4*x - 1. Let q be n(4). Suppose u - q = -4*u. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567 (base 11) to base 15\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 673 = -371. Calculate the greatest common divisor of y and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10992*g**3 + 522*g**2 + g - 2 wrt g.\nAnswer: -65952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -35 - x - x + 12 + 23. Let t(d) be the first derivative of -11*d**3\/3 - 3. Determine t(g(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 8:40 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.89 - 0.11. Let w be ((-165)\/20)\/(-33) + 30\/(-56). Which is the third smallest value? (a) w (b) k (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {j: 4, m: 3, x: 7}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5485629 or -5485618?\nAnswer: -5485618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Let w be -2*1\/7 - (-37910)\/1561. Solve -u*c - c = -2*d - w, d + 17 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -251 bigger than -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 8 = -2*d. Suppose d = 2*m - 2. Let u = m - 1. Solve 0 = -3*a - 4*s - 12, u*a + 6*s + 12 = 2*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 779 and 811021.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 5*t**2 + 25*t**2)*((-5 + 10 + 1)*(2*t**3 - 4*t**3 + 4*t**3) + t**3 - 4*t**3 + 5*t**3).\nAnswer: 336*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4776246 rounded to the nearest one thousand?\nAnswer: -4776000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 + -14 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 37. Let q(h) = 5*h + 32. Determine 6*c(p) + 5*q(p).\nAnswer: -5*p - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 8. Determine n(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (16 - 9) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {z: 1, x: 4, y: 2, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07612 - 3.92388. Put 480, 5, k, 1\/5 in increasing order.\nAnswer: k, 1\/5, 5, 480","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 + 169 = -b + 347 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 - a**2 + 4*a)*(11 - 10 - 7).\nAnswer: 12*a**2 - 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*40\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 2*z - 1. Let q be a(1). Suppose -26 = -2*u + 2*v, -15 = -q*u - 4*v + 41. Calculate the greatest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10*n - 20. Let z be (1 - 3) + 21 + n. Solve 3*j - 9 = 0, -3*y + z = 2*j - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + -3.3. Let t = 0.2 - 0.1. Which is the biggest value? (a) m (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f - 66*f = l - 27, -3*f = 3*l - 33. Suppose 0 = 4*m - 2 + 14. Let w = m + f. Calculate the lowest common multiple of w and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((42\/7)\/(-60))\/(5\/(-25)). Sort f, -2, -461.\nAnswer: -461, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.342362 + 158.181762. Let r = 158 - a. Round r to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 39*n - 8 = 0. Suppose 6 = -2*u + g + 2, 0 = -3*u - n*g + 16. Solve -12 = 3*a, u*m = 2*m + 3*a + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 67, -1, -7, 5, 6, -5.\nAnswer: -7, -5, -1, 2, 5, 6, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -658 + 178. Suppose -i + 20 = 5*m. Which is bigger: m or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420608 (base 9) to base 10\nAnswer: -249812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24072, 49626, 78134, 111072, 149916, 196142?\nAnswer: 251226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:49 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2335, -2334, -2333, -2332?\n\"Answer: w - 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*8\/(-3 - -2). Suppose -3*o + n = -5*o. Which is bigger: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 1085. Let m(o) = 2*o - 722. Give 8*m(l) - 5*y(l).\nAnswer: l - 351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 13*i - 44 = 17*i, 2*z + 5*i + 29 = 0. Let s(g) = -2*g**2 - 2*g - 3. Let r(w) = 2*w**2 + w + 4. Calculate z*r(y) - 3*s(y).\nAnswer: 2*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 5*w - 10. Let a be i(-7). Let u = a + 24. List the prime factors of 1*u - (0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 12.98. Suppose 0 = -s + 4*s - 3. Suppose 2*q + s = 3. Which is bigger: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let c(t) be the second derivative of -t**3\/3 + t**2 + 2*t - 6. Give c(f) - 5*h(f).\nAnswer: -7*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 14*p**6\/15 + 59*p**2\/2 + 18*p - 58. Let u(w) be the first derivative of z(w). What is the first derivative of u(x) wrt x?\nAnswer: 112*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 4 = 5*j. Let q be j\/(-20) + (-1174)\/10. What is q rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -307503*y + 2231. Let b be g(-23). Round b to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.4. Let d = o - 0.4. Let j = 2 - 7. What is the third biggest value in d, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10544361 is divided by 1323?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/8 + 115895*n\/8 + 579575\/2 = 0.\nAnswer: -20, 115915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/343128 and -83\/90712.\nAnswer: 7891944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - 678*h - 16981. Determine x(-28).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*x + i, 3*x + 20*i - 19*i = 22. Solve x*o = 15*o - 42 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 1024140024?\nAnswer: 1024140043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 851304 > 851503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/1417887 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - n + 4. Determine k(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13265347 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187 - 184. What is the remainder when 287 is divided by 374\/44 - m\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13*x*x**(-1\/23))\/(x**(-13)*x*x**(-2\/39)) assuming x is positive.\nAnswer: x**(23329\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(0 + 4 + 0)*(-30*q**2 - 28 + 28) to n*q**2 + v + c*q and give n.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-28)*-1)\/(30\/(-40)). What is the fourth biggest value in c, 2, 5, 13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {x: 4, e: 1, a: 2, v: 5, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*(-1)\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 9877096?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 plus -6944845?\nAnswer: -6944866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24953512 a multiple of 1684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 22037?\nAnswer: -22038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -12 - (-43 + 54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -520, -652 in descending order.\nAnswer: -24, -520, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/28*(-1071)\/510.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 393469675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**3 + 35*c**3 - 22*c**3.\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -395995*l**2 + 16 + 395963*l**2 - 2*l - 15 + 16*l**3 as r*l + a*l**2 + x + j*l**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 2, -166, 37, -1 in increasing order.\nAnswer: -166, -1, 0, 2, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16197 + -19?\nAnswer: -19.16197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-36) - (-19)\/6. Suppose y*z - 34 = 23. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - 11523?\nAnswer: -11546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512416.\nAnswer: 2, 3, 26171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 16, 0*f - 2*f = 5*v - 24. Let m = 3 - 8. Let y = -1.9 - -2. What is the closest to 0 in y, m, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246108 divided by -20428?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i. Let u(o) = -26*o**2 + 1747*o + 739600. Let b(d) = 54*j(d) + 2*u(d). Factor b(s).\nAnswer: 2*(s + 860)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-26) + (-1051)\/(-13). Suppose 5*y - 2*o - 4 - 19 = 0, -y + o + 7 = 0. What is the highest common factor of x and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**8\/o))\/(o\/o**(-1\/14)*o))**14 assuming o is positive.\nAnswer: o**(-113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(20)\/sqrt(4) + (-2*(-1 + sqrt(5)) - sqrt(5))**2).\nAnswer: -33*sqrt(5) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16*s**3 + 259*s**2 + 55*s + 86. Calculate k(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8296, -1, -1\/3, -0.2, 0.2 in decreasing order.\nAnswer: 0.8296, 0.2, -0.2, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6\/6 + 15*(-24)\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(10)*-2 - sqrt(250)*4)\/((-1*sqrt(1125))\/(4*sqrt(9)*1)).\nAnswer: 112*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -236 + -645?\nAnswer: -87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -196, -719, -1242?\n\"Answer: -523*f + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-11 + (11 - 2) + 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 49771774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12326209 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095743443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(-5*((sqrt(125) - (0 + sqrt(125))) + -1) + (sqrt(125) - (sqrt(125) + 1))*-4*-5))**2.\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3914b (base 16) in base 14?\nAnswer: 612c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*x, 0 = 3*f - x - x - 28. What is the lowest common multiple of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-77) - 471\/(-21). Suppose s - 15 = -2*y, -6*s + y + 69 = -2*s. Is v*s - 60\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 + 4*t - 5. Let g be l(4). Suppose -5*j = 4*f - 18, 3*j = 2*f + g - 31. Calculate the remainder when 296\/f + (-4)\/14 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(-8*g**2 + 14 - 14) to the form y*g**2 + q + o*g and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3209, 3214, 3223, 3236, 3253?\n\"Answer: 2*d**2 - d + 3208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 0.3. Let j = -55\/106 + 1\/53. Which is the second biggest value? (a) j (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((147\/2940)\/((-14)\/(-60)))\/(2*(-3)\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 72758.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - 120*c - 1 - 3*c**3 - 114*c + 2 + 233*c. Let i(o) = -3*o**3 + 2*o**2 + 2*o - 3. Suppose 2*j = -5*g - 5 + 4, 12 = -4*j. Give g*i(w) + 2*f(w).\nAnswer: -w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 34.1. Let p = -2\/75 - 19\/225. What is the fourth biggest value in p, q, 2\/3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t**2. Let h(c) = -21841558*c**2. Determine h(d(v)).\nAnswer: -3691223302*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -13916083?\nAnswer: -13916087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - 0.3. Let x = 15 - 11. Which is the biggest value? (a) j (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*l + 75 = 0, 0 = -47*a + 42*a - 2*l + 115. Suppose -a*x = 16*x - 35219. What are the prime factors of x?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + 0.22. Let o = -218 + 217. What is the nearest to -2 in x, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2\/65, -3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 547*b**2 + 4431*b - 107. What is n(-8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229663 and 95619923.\nAnswer: 5341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -52. Suppose 176*n = 34980 - 9812. What is the highest common divisor of a and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 327798942?\nAnswer: 327798941.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*n**4 + 3196 - n**3 - 3198 - 2*n + 0*n**3 to the form s + d*n**2 + k*n + c*n**3 + o*n**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**12)**(-24) assuming t is positive.\nAnswer: t**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 830 (base 15) to base 2\nAnswer: 11100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -3) + 3 + 137. Suppose 2*a + 2*t = 232, 3*t + 220 = 3*a - w. Suppose 2*d - a - 34 = k, -54 = -d - 5*k. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8455.\nAnswer: 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:11 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*2\/36 - (-3)\/(-2). Let f = 11.5 + -12. What is the nearest to 2\/3 in f, 3, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.7659449 to 1 dp.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4041168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(76) + 0 + -4)**2 + (sqrt(76) - (0 + (sqrt(76) + -1)**2)))*1*-2)*-1.\nAnswer: -20*sqrt(19) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-1)\/8). Suppose -5*z + m + 8 = 3*m, -3*z - 2*m + 8 = 0. Suppose -l*w + 108 = -4*d, z*w + 3*w + 2*d - 56 = 0. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 - 21*k**2 - 99.\nAnswer: 6*k**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:21 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - -5) + -3 + -4 + 9 + -15 + 5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/32 + (-46)\/(-8). Let m(j) = 5*j - 7. Let y be m(q). Let u be (-58801)\/(-6) - 3\/y. Round u to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -37154546?\nAnswer: -37154543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61, -127, -199, -277, -361, -451, -547?\n\"Answer: -3*j**2 - 57*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 308\/(-8))*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01942 - -0.5.\nAnswer: 0.48058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -4082557.\nAnswer: 816511.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6 - (-1)\/(4\/(-290)). Let l be (c\/27)\/(3\/9). Let r(f) = f**3 + 11*f**2 + 16*f - 7. Is r(l) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 53*f**2 + 13834*f - 8. Determine a(-261).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y + 649 = 1. Let o be -27 - (4\/2 + -1). Let x = o - y. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by -241.\nAnswer: 91\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, 141, 666, 1691, 3384, 5913, 9446?\n\"Answer: 28*p**3 - 2*p**2 + 3*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (9 - -2) + (-2 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 24. Let v(z) = -3*z + 49. Calculate 5*q(i) + 2*v(i).\nAnswer: 4*i - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 3*d**2 - 3. Let b be p(3). Let v be (7*20)\/(b\/(-300)). Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1074 + 1075. Let j = 1 - -1. Let i = 1.765 + 0.235. What is the closest to j in i, y, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 14. Suppose 14*v = 12*v. Suppose v*u + 2*u + 30 = 0. Calculate the remainder when z(u) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*y + 2374, -35*y + 791 = c - 34*y. What is the greatest common divisor of c and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 1341390 + 2*m + 1341390.\nAnswer: 10*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 20 + 54 = 4*c, -5*c = 2*v + 2 - 82 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10*d - 3*d - 2*d + 7*d.\nAnswer: -8*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + 266\/(-228)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37246 is divided by 18614?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/28779 and -32\/112401?\nAnswer: 5957253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = v + 3*v. Let u(p) = 5*p**3 - 4*p**2 + 4. Let d(q) = 4*q**2 - 5*q**3 - 5 - 2*q**2 - q**3 + 3*q**2. Determine v*d(m) - 5*u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4052595 is divided by 1037.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/9 + 99604824*q - 11161261084579848 = 0. What is q?\nAnswer: 224110854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230 is divided by 416?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3509, -7021, -10533, -14045, -17557, -21069?\n\"Answer: -3512*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -2 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909660371 to the power of 1\/2, to the nearest integer?\nAnswer: 43700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 9 = 4*a + 19, 2*y - 10 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9501*t**4 + t**3 + 751*t**2 - 354418568.\nAnswer: -38004*t**3 + 3*t**2 + 1502*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14*-3\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 990, 4026, 9218, 16680, 26526, 38870?\n\"Answer: 19*v**3 + 964*v**2 + 11*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16293411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 18511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-27))\/(1\/6). Let y(g) = 14*g**3 + g. Let n be y(1). Let a = 1 + 2. Solve -a*t - n = i*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5037.756 decades to months.\nAnswer: 604530.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 57*d**3 + 23*d**2 - 135*d - 32. What is the tens digit of g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 6.7947400015.\nAnswer: -8.7947400015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/17)\/(((u\/(u*u\/((u\/u**(-6))\/u)*u*u*u))\/u)\/u*u))\/((u\/(u*u\/(u*u**(2\/7))*u))\/u)**(1\/32))\/(u**(-9)\/(u\/u**9))**34 assuming u is positive.\nAnswer: u**(31355\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 2*s - 4*x + 17, x = -4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.6185ug in nanograms?\nAnswer: 804618.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aassaasssasaa. What is prob of picking 1 s and 1 a?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**23\/w)\/w)\/w*w**(-2\/39)*(w**(2\/11))**(-46) assuming w is positive.\nAnswer: w**(4970\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3502745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56867018 or -1\/3?\nAnswer: -56867018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 - 24)) + 23 + 14 + -8 + -35.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.1, 2234843, 0, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343829539 smaller than 343829539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331))*6 - sqrt(1331) - (sqrt(1331) - ((sqrt(1331) + -1)*-1)**2).\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.89 + 6.131. Let j = g - 0.4665. Round j to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-4)\/(-8) + 27. Calculate the highest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -200535?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -128, -202, -226, -182, -52, 182?\n\"Answer: 3*o**3 - 2*o**2 - 121*o + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 11:01 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103697 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 1 + 2)*(2*s - 3*s + 2*s) - 4*s + 2*s + 0*s + 4*s - 38*s - 11*s)*(s + 0 + 0 + 2*s**3) to q*s**3 + u*s**4 + r*s**2 + c*s + m and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 109, 151, 183, 205, 217, 219?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 165*i + 36 + 2*i**2 + 19 - 90.\nAnswer: 2*i**2 - 165*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -23*h**3 - 8880*h**2 - 774*h - 782. Determine i(-386).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(34)\/sqrt(2) + 3 + 1.\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-90))\/(1\/3). Let w be 10774\/(-36) + (-9 - (-553)\/63). Let l = w - -299. What is the nearest to 11 in -0.1, l, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/33)\/3)\/((-23)\/(-46))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27859608 divided by 2979?\nAnswer: 9352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4176 + 6337217494.\nAnswer: 6337213318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times -34?\nAnswer: -2414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + i - 8 = 0, -2*w + 2*i + 3 = 7. Let q = -8 - -9. Suppose -s + 6 - q = 0. Solve -s*d - 3*z - 1 = 0, -2*d = 4*z - w*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100101111 + -1111?\nAnswer: -111100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674 - 673.9. What is the nearest to -1 in s, -2, 69?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 2. Let h(s) = 1 - 3*s + 4*s - q*s. Is 6 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 + 8*q - 8. Let v be k(6). Suppose 12*x - 9*x + 9 = -3*w, w = -4*x + 3. Put v, w, 1, -15 in increasing order.\nAnswer: -15, w, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 28 = -2*o, 46*o - j = 51*o + 14 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/135 (b) 0.2 (c) -3 (d) 3 (e) -0.0866 (f) -1\/4 (g) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 4. Suppose -2*u = 2*n - 12, -f*u = -2*n - 0*n - 48. What is the smallest common multiple of u and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203.5 - -204. Put -3, 4\/7, f, -2 in descending order.\nAnswer: 4\/7, f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465f50 (base 16) to base 15.\nAnswer: -611765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1098573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59252 is divided by 316.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 + 78 + 79 + 1733*s - 228 as o + u*s and give u.\nAnswer: 1733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 72, 73, 74?\n\"Answer: m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1206 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 33 = 142. Let z(g) = g**3 + g**2 - g + 3. Let x be z(0). Let l be 8\/(-3)*9\/(-6). Solve -x*n - f + v = l*f, 0 = -n - 4*f + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, -21, -153, -283, -411, -537, -661?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5\/5 + 111*z**4 - 27501*z**3\/5 + 166341*z**2\/5.\nAnswer: -3*z**2*(z - 89)**2*(z - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13560002*y**2 - 3*y - 1. Let b be c(1). Let l be b - 11\/(66\/(-12)). Round l to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113381 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7136047987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 27 - 3. Suppose 2 = -3*l - v, 4*m = -5*l + 6. Suppose m*z - 44 - 32 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*l = -78, -2*m + 5*m = -5*l - 34. Let a = m - -63. Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - 2. Let t be 4\/r - 2\/6. Let z = 0.4 + 0.1. Which is the second biggest value? (a) -0.3 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c**3 - 1\/15*c**5 + 18*c**2 + 0*c**7 + 0 + 0*c**6 - 5\/336*c**8 + 0*c**4 + 0*c. What is the third derivative of a(d) wrt d?\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b)*(0*b + b + 2*b) + (0 + 0 - 2*b)*(-b + 4*b - 4*b) - 2*b**2 + 5*b**2 + 0*b**2 - 4*b + 4*b - b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 202437162474717?\nAnswer: 202437162474716.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.211826 - 0.\nAnswer: -96.211826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1046 + 4351?\nAnswer: 5430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q + 8. Let c(r) = 3*r**2 - 5*r + 23. Let k(o) = -6*c(o) + 17*f(o). Let w be k(-2). Put -3, w, 5 in ascending order.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76 - 3*q**4 + 76 - q**3 + 15*q**2 - 4*q**4 wrt q?\nAnswer: -168*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -303*q - 41809. What is r(-138)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000205126 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 196.281 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 16937162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0*h + 0*h - 2*h + h - h + (-h + 2*h - 3*h)*(2 - 1 - 3) - 6962 - 352*h + 6962.\nAnswer: -349*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i + 13*i + 24*i**3.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -33\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3. Suppose 0 = 215*h + 17*h. Let q(i) = i - 4. Let l be q(5). Which is the closest to 2\/3? (a) l (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707 = 79*s + 22*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 0.64.\nAnswer: -1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, t: 3, s: 5, i: 2, g: 1}. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 85\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbk when three letters picked without replacement from {k: 1, r: 2, p: 2, b: 4, q: 1, g: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + d**2 - d**2)*(144*d + 192*d + 29*d).\nAnswer: 730*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463*-2.\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12130 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2. Let x be (-121 - -121)*(2\/4 + 0). Let g(v) be the first derivative of 21 + x*v**2 + 0*v - 31\/3*v**3. Give g(s(q)).\nAnswer: -124*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + (sqrt(1573) - (1 + sqrt(1573))*-3) + sqrt(1573) + 1*-1*(-2 + sqrt(1573)))*-3)**2.\nAnswer: 8448*sqrt(13) + 227536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 806635676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -29*q - 12528. Suppose -q = -7*x + 1103. Let i be x\/(-280) - (-2)\/7. Is -2 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsrrrrrwrsw. What is prob of picking 2 s and 2 r?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -266944*z**2 + 19*z + 15. Let i be j(11). Round i to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*g + 2*g. Let a be -3 - (5 + 2)\/g. Solve -a*d = -4*r - 12, 0 = -3*d + d - 5*r - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 * 6\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -s + x, 0 = 3*s + 4*x + 10. Let v = s + 8. Suppose -v*z - 2 = -3*d, -3*z + d - 3 = -0*z. Is z bigger than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 37068606?\nAnswer: 4818918.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzdthtxxtctdth. Give prob of picking 1 z, 1 c, and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348043 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3740 and 8.\nAnswer: -29920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -8\/5*k + 0 - 26\/15*k**2 + 0*k**3 + 2\/15*k**4 = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41404660 divided by 71020.\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22968 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = x - 109. Is 56 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -26, -16, -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1422*c**4 - 3 + 2837*c**4 - 1420*c**4 + (-3*c + 3*c + 2*c**2)*(0 + 0 + 2*c**2) to the form s + o*c**2 + g*c + t*c**3 + k*c**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.92 - 47. Let w = -0.91764 + d. What is w rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 1:48 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-70)*1\/2*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-13050)\/(-55680))\/((-5)\/(-40))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 6, 3, 1, -3, 184, 4 in descending order.\nAnswer: 184, 24, 6, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38845, 155935, 351271, 624853, 976681, 1406755, 1915075?\n\"Answer: 39123*a**2 - 279*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5937*g**3*l**3 - 2*g**3*l**2 - 37*g**3 + 5183*g**2*l**2 - 43*g*l**3 wrt g?\nAnswer: -35622*l**3 - 12*l**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 4, f: 2, b: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7525317\/18434 - 1554\/709. Let m = 406 - z. Let b = 394\/7 - 56. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s - 40. Let t be 3\/2 + 34\/s. Suppose 8 = f + 5*p + 11, 0 = -2*f + 2*p + 6. What is the second biggest value in -1\/2, t, -0.07, f?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 66 = -22. Suppose 23*l + 131 = 2*j + 24*l, -64 = -j + l. What is the remainder when j is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 30 + 60 - 24907*c.\nAnswer: -24907*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k = 13*k + 2*k + 650014. List the prime factors of k.\nAnswer: 2, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 195 = -4*h. Let k = -31 + h. Let q(i) = 11 - k + 5*i - 2. Let z(a) = -3*a. What is z(q(u))?\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10829858*x**3 - 1104840984*x**2 + 19938618*x - 89964 = 0. What is x?\nAnswer: 21\/2327, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*t - 29 = 0, p = -t + 4 + 13. Find the first derivative of -11 - p*a**2 - 66*a**2 + 28*a**2 wrt a.\nAnswer: -104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) -4395 (c) 2 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*y**4 + 3*y**3 - 113.\nAnswer: 84*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 25*j**2 + 0 - 113*j**2 + j + 49*j**2 - 1. Determine c(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2201 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 412372.7 or 4?\nAnswer: 412372.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-133.\nAnswer: -15827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 234127937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzthzhzkzmhhzmhz. Give prob of picking 1 k and 1 t.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yheuesefyyfshy. What is prob of sequence uys?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + -1 + 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 29 = p. What is the remainder when 131 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6277 = 5*q, -5*d = 187*q - 192*q + 6285. Calculate the highest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6*v. Let u be 3 + v*(-2)\/4. What is the highest common divisor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (-12)\/15*325\/(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/22 + (-13)\/11. Let a be w\/3 + 10\/(-6). Let g(h) = -h**2. What is g(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*m = -88, -m = -y - 2*m + 17. Suppose 0 = 76*f - 80*f + 420. What is the remainder when f is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/5)\/a))\/a**(-1\/7) assuming a is positive.\nAnswer: a**(82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(330) - sqrt(330)*1))\/(sqrt(1100)*-2 + sqrt(1100)))\/(6*-6*-1*(sqrt(6) - (sqrt(6) + sqrt(6)*1 + sqrt(6)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - s = -15 - 6, -3*s + 3 = 0. Suppose 2 + v = -y - 3*t, -3*y - 3*t + 6 = 0. Let o = y + 2. What is the smallest common multiple of 22 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0145508572 to 5 decimal places.\nAnswer: -0.01455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -14*n. Let x(d) = 21*d. Give k(x(i)).\nAnswer: -294*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.49 + -41175.68114711.\nAnswer: -41176.17114711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Solve -2*f - i*z = f + 8, -5*f - 2*z = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfsk when four letters picked without replacement from {y: 1, k: 2, f: 2, s: 4, m: 1}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 240*i. Let m(z) be the second derivative of z**3\/6 - 27*z. Calculate m(x(n)).\nAnswer: 240*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*c - 10*c + 2 - 11*c)*(-5 + 12 - 23).\nAnswer: -816*c - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -27*a**2 - 45*a + 9. Let h(k) = 7*k**2 + 11*k - 2. Let o(u) = 9*h(u) + 2*x(u). What is the second derivative of o(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-3227)\/28. Suppose 5*q + 5*u - y = 0, -4*q - u + 94 = 2*u. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -4*r - 5*d + 181, -2 = -5*r - 4*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 133. Let q(j) = j**3 - 2*j - 2. Let k be q(g). Suppose x = -0*x - 2. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a - 5. Suppose 50 = 5*n - a*n. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - ((-2)\/(-7) + 182\/49). What is the remainder when 35 is divided by i\/(-18) - (3 - 620\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -4*h - 21. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -78*f + 73*f, -8*c + 131 = -f. What is the greatest common divisor of c and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2 + 2*p + 2. Let w be j(-2). Suppose 5*b = 196 + 144. Calculate the highest common divisor of w and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6453 or 6456?\nAnswer: 6456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(44)\/sqrt(4))*5 - (sqrt(28) + -3 + -3))**2.\nAnswer: 36*sqrt(7) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 1360 = -101*r + 872. What is the lowest common multiple of r and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q - 2 + 173 = -15*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*11\/33 - (-5 - (7 - 4)). What is n in 1\/4*n**c + 0 - 1\/4*n + 0*n**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let h be (-129)\/(-2) + j\/6. Suppose 0 = -5*g + h + 10. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b - 3. Let g be d(-8). Let q = g - 20. Solve 8 = -5*s - q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 516, 670, 872, 1110?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 446?\nAnswer: 5798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 18*j**2 - 6. Suppose -234 = 9*k - 18*k. Suppose 5*n - 4*b + k = 6*n, 5*n - 92 = -b. Calculate v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1026781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 15 = -y, 46*s - 2*y - 39 = 48*s + y for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 38. Let o(u) = -3*u + 26. Let f(y) = 5*i(y) + 7*o(y). Calculate f(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010844 rounded to 5 decimal places?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*l - 36 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/8943 and 62\/98373?\nAnswer: 98373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354177 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 526104 divided by 2\nAnswer: 263052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(231))\/sqrt(7)*-4)\/(sqrt(11) + -6*(sqrt(176) + sqrt(11)) - (sqrt(11) - sqrt(396)*-5)).\nAnswer: 4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(8526\/6860)*108\/28.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2105, 2, -3, 52 in decreasing order.\nAnswer: 52, 2, -3, -25, -2105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t. Let n be 8\/6*((-33)\/(-6) - 4). Let w(l) = -l**2 + 10*l**2 - 3*l**n + 4*l**2. Give w(i(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -138, -189, -254, -339, -450, -593, -774?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, b: 2, g: 2, h: 3, p: 1, i: 2}. Give prob of picking 1 c and 1 g.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 496922523145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196\/15 + 33\/5. What is the common denominator of h and 41\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:35 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/3 - 13. Let d = -2953\/64 - -361451\/1216. Let v = 251 - d. What is the third smallest value in 3, i, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 388\/(-14841)*2\/8?\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2)\/sqrt(12) - sqrt(19) - (sqrt(304) + sqrt(304)*-1 + sqrt(304) + sqrt(304))**2) + 4 + -4*(sqrt(1216) + sqrt(1216) + 1 + 4)*6.\nAnswer: -387*sqrt(19) - 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-5*h**3 + 2*h**3 + 4*h**3) + (7*h + 6*h - 18*h)*(3*h - h**2 - 3*h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) 0.5092 (d) -5 (e) 1 (f) -0.3 (g) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.0515508?\nAnswer: 0.6186096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*p - 3. Let a(t) = 7*t**p + 10 - 3*t**2 - 10. Let w(l) = l + 1. Let q(m) = -m**2 + m + 1. Let s(o) = -q(o) + w(o). Calculate a(s(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000117600708 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1164824 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -81. Suppose -9*x = -o - 76. Suppose 0 = 10*q - x*q + 174. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g + 1556. What are the prime factors of d(0)?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10926 is divided by 1333?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h + 52*h + 119*h + 43*h to g + o*h and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + 0*s)*(-5*s**2 - s - 9 + 6 + 2).\nAnswer: -10*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5705.\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 33*l + 12*l + l**2 - 4*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -561?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 575 - 573. Suppose -z*h + 34028 = 4*w, 4*w - h - h = 34044. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by 652\nAnswer: -97\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 27*t - 184. Let p be w(7). Solve -c + 30 = p*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 571200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33196 is divided by 186.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:37 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7268763 is divided by 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 3. Let m be s(-4). Calculate the highest common factor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0665 to 1 dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 104. Let y(v) = -v**3 + 50*v**2 - 3. Let d be y(50). Let h = -15.8 + 14. Which is the biggest value? (a) h (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*k - 5*k**2 + 3*k**4 + 85*k wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31 and 787991036.\nAnswer: 787991067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138.12 - 133.12. Let r = 0.3 + 0.7. Which is the smallest value? (a) r (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3*n + 5, -2*g + 25 = -5*g - 2*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 133*i**2 + 637*i + 322. Calculate x(128).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 132*x**2 + 228*x + 12703. Determine o(-131).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1336.947 hours to days.\nAnswer: 55.706125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/1680*10\/6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:48 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.1. Let l(p) = -5*p**2 - 30*p + 61. Let n(i) = i**2 + 6*i - 12. Let q(k) = -2*l(k) - 11*n(k). Let w be q(-7). Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - -1. Suppose -62 - r = -5*s. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246908157 + -13.\nAnswer: -246908170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*p**2 - 2 + (2 - p - 2)*(2*p - 2 + 2) + 6*p - 3*p**2 - 6*p in the form f*p**2 + d + n*p and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 10*n**2 - 30*n + 15. Determine p(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-474)\/30)\/((-6)\/(-15)) and -41\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52177 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 n = -11.6 - -12.7. Let z = n - 0.8. Let f = 0.14 + 0.06. Which is the closest to f? (a) z (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/3721 and -113\/714432.\nAnswer: 714432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2230\/70245 + 85\/(-693).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/21 (b) 3 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 1768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -899, -1789, -2679?\n\"Answer: -890*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6533*b**4*s + 5*b**2*s - 3*b**2 - 2*b*s - 4*b + 129*s + 3 wrt b.\nAnswer: -78396*b**2*s + 10*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n + 0 - 37*n + 145*n + 0 + 0.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1956, -2076, -2214, -2382, -2592, -2856?\nAnswer: -3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119214521651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/40, -114\/11, -5503.\nAnswer: -5503, -114\/11, 3\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22475594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 1. Let m be v\/(-15) - (-14644)\/5. Suppose -5*b - 58 = 3*x - 2252, 4*x = -4*b + m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380741341.\nAnswer: 173, 2200817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 76. Suppose -f*c - 22 = -6*c. Differentiate 15 - c + 4*w**3 - 14 with respect to w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m + 6. Let w(t) = -t - 1. Suppose 12*k - 34 + 46 = 0. Calculate k*u(c) - 4*w(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -177 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.24434, -1\/4 in increasing order.\nAnswer: -1\/4, 0.24434, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12960 and 15120.\nAnswer: 90720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = x, 2*r + x + 2*x = 3. Let o be 8\/r*(-3)\/(-2). Let h(n) be the third derivative of n**4\/24 - n**3\/2 - n**2. Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:09 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126380 and 5751.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4243 divided by 4.\nAnswer: 4243\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 - 6*c + 5. Let w(j) = -6*j**2 - 9*j + 8. Determine 8*i(v) - 5*w(v).\nAnswer: -2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 23 = -4*n, 14 = 4*v + 5*n - 23. Let z(h) = 4*h + 4 + 2 - 2. Is z(v) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 207. Calculate the remainder when ((-45)\/6)\/5*(p + 1) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87245527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 5*v**2 + 2*v + 5. Let k be x(-4). Let l = 5 + k. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*q = 14. Let d = -2\/47 - 72\/517. Let h = -0.027 + -0.373. Which is the closest to q? (a) d (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 15. Let x be n(-11). List the prime factors of (-345)\/(-12) + x\/(-16).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 13 = -o, 0 = -o - 2*a - 0*a + 8. Let r be (0\/(-2) + -1)\/1. Put o, -2, r in decreasing order.\nAnswer: o, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3981969*w**2 - 1869*w**5 + 5*w**3 - 5*w**3 - 3982084*w**2 wrt w?\nAnswer: -112140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 2*d + 253 = -7*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38585 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2351*g**4 + 2285*g**2 + 2*g wrt g.\nAnswer: -56424*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 57. Which is the closest to g? (a) 0.5 (b) -2\/23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -19\/6, 3\/4 in increasing order.\nAnswer: -12, -19\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*r + 50410 = 153*r. Calculate the highest common factor of 71 and r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Suppose -n*l - 67 = -67. Solve 5*d + 5 + 5 = l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2134085 by 1.\nAnswer: -2134085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**3 - 2*h**2 + 15*h + 34. Give u(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b\/b**0*(b*b**(2\/5))**24)**(-1\/25) assuming b is positive.\nAnswer: b**(-148\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/48*-6*32\/(-968)*1\/1?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.471177l?\nAnswer: 5471.177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1. Let n(r) = -7*r**3 - 2*r. Give -n(d) - 5*y(d).\nAnswer: 7*d**3 + 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z = -189*z + 288 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.221 > -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 307*a**2 - 156*a + 223. Give f(154).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5)*-10 - -45. Suppose -a + 3*v + 35 = 0, 2*a + 0*a = -v + y. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101831244.\nAnswer: 2, 3, 739, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1685779 meters in kilometers?\nAnswer: 0.0001685779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47890 and 184390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.251 + -0.1606. Let k = -14 - -14.09. Let t = o - k. What is t rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of -76*(-10155)\/60 + 3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 6. What is the third derivative of a*t**2 + 2*t**2 - 5*t**5 - 6*t**2 wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191288089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22534 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**2*i**2 - 1260517*b**2*j**2 + b - 2*i**2 - 172*i*j**2 - 3964*j**2 + 2*j wrt b.\nAnswer: -6*b*i**2 - 2521034*b*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 8. Let m be l(-5). What is the remainder when (-2)\/(-4) - (-21)\/2 is divided by ((-20)\/m - 1)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:53 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289\/8 + 36. Let z = -290957\/76 + 3828. Let s = -12\/19 - z. Which is the third biggest value? (a) m (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.895 plus -988?\nAnswer: -988.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9*-1 - (-75)\/(-27). Let k = 23\/7 - 3. Which is the third biggest value? (a) z (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4 = -372*u + 374*u, u = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 115.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 59 + -6 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-32)*-1)\/(((-250)\/(-1500))\/((-20)\/30))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1413971 or -1413973?\nAnswer: -1413973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1557, 1452, 1347, 1242, 1137, 1032?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6015147 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1721, 3349, 4977, 6605, 8233?\n\"Answer: 1628*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/2*(-4 + 2). Let t = 33 + f. Let m(c) = t*c + 4*c + 3*c. Let o(g) = -g. Determine o(m(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 2\/3 (c) -2\/19 (d) 0.1 (e) -1 (f) 16.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 186556 and -0.003.\nAnswer: -559.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 3*z**2 - z. Let g be u(-3). Suppose -2*w - 45 + 53 = 0. Let n = w - g. Solve 2 = -2*y, n = 4*q + 4*y + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, k: 5, e: 3, l: 2}. Give prob of sequence lege.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = -y + 20*v + 1873, 2*y + 3*v - 3742 = 0. List the prime factors of y.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*p - 4645, -2*p = r + 290 - 1217. Suppose 2725 = 3*m + 2*n, -5*n - r = 3*m - 4*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - 155\/(-10) - 1\/(-2). Let q(v) = 30*v - a*v - 3*v + 39*v. Let h(d) = d. Give q(h(j)).\nAnswer: 55*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2170 - 994. Is 42 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159593?\nAnswer: 3, 83, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*f*i**2 - 5*f*i - f*z - 3*i**2 - 242*i*z with respect to f.\nAnswer: -35*i**2 - 5*i - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 140.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 465409827, 930819654, 1396229481?\n\"Answer: 465409827*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -1\/2*x**4 - x**2 + 52\/3*x**3 + 1\/15*x**6 + 3 + 53*x + 0*x**5. What is the second derivative of w(v) wrt v?\nAnswer: 24*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/2 + 9*x**5\/5 + 3*x**4\/2 - 2*x**3 - 9*x**2\/2 - 3*x + 12. Factor j(c).\nAnswer: 3*(c - 1)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 11. Let z be (-1 + -4)*((-6)\/(-2) + -4). Let n(k) = -6*k + z*k + 13 - 3. Let l(b) = 7*n(b) - 6*q(b). Give l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*a - 1 = 0, -4*b + 3*a = -3*b - 4. Let w be (b - 3)\/((-6)\/27). Calculate the highest common factor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11746*f*n**3 + 3*f*n + 2129*f - 51*n**4 + n + 24 wrt n?\nAnswer: -70476*f*n - 612*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13120 and 15328?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -144 + 132. Sort o, -4, 514 in descending order.\nAnswer: 514, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(468))**2 - (-2 + 0 + sqrt(13) - (-2*sqrt(130))\/sqrt(10)).\nAnswer: -1405 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -106636, -3 in descending order.\nAnswer: -3, -5, -106636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4878 and 2439.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58423, 59041, 60085, 61555?\nAnswer: 63451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*3\/1)\/(3\/(-2)). What is the second smallest value in -4, v, -0.1, -0.05?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 9*z + 4. Let o be t(9). Let w be 2\/4*(-58)\/(-1). Let p be w\/9 + o\/(-18). Solve 3 + 12 = p*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 + 2.8. What is the second biggest value in 3, j, 46\/19?\nAnswer: 46\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -11*f**3\/6 + f**2\/2 + 11*f. What is the tens digit of v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, 0 = -2*u - 2*n - 38 - 32. Let h(w) = w**2 - w - 5. Let y be h(4). Let d = y - u. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40178, -40170, -40142, -40082, -39978, -39818, -39590, -39282?\nAnswer: -38882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3119\/2 + -1559. Let n(t) = t**3 - 3*t**2 + 3*t. Let m be n(2). Factor 0 - 2*o**4 + 1\/2*o**5 + r*o + 3*o**3 - m*o**2.\nAnswer: o*(o - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9, o: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/3*(-4 + 10). Let h be (-32)\/p + (-4)\/20. Solve -h*a + 1 + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:55 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 + 171 - 74*c - 527 + 169.\nAnswer: -74*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -371.17 + 373. Let y = d + -0.03. Let a be -8 + (-25)\/((-200)\/48). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.74 - -1.9. Which is greater: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5696 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254182763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0160078 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2425 - 1590. Suppose o - 311 = f. Is o\/(-4)*24\/(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*r**3 - 2*a**3*r + 16741*a**3 - 10*a**2*r + 41*a*r - 16*r**3 wrt a.\nAnswer: 12*r**3 - 12*r + 100446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -9, -4 in descending order.\nAnswer: -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.55646 millimeters to centimeters.\nAnswer: 0.655646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-392)\/(-168) + (-4)\/3. Let h(o) = -7*o + 3. Let x(m) = -62*m + 26. Let r(s) = 52*h(s) - 6*x(s). Calculate r(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 8*z - 72 = 0, 3*z - 29 = -98*v + 93*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/5))**(-33)*d**(1\/9)\/(d**(-1\/2)\/d))**(-22) assuming d is positive.\nAnswer: d**(18007\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5559 - 33209\/6. Calculate the common denominator of (94\/(-27))\/(6\/9) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96562?\nAnswer: 2, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 30 = -2*z. Suppose 0 = -4*n + 4*h + 32, -6*n + n + 3*h = -36. Let v be (-1)\/z + 2\/n. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*2\/(-16))\/3. Suppose 0 = -2*i - 3*p - 52406 + 796418, 5*i - 4*p - 1859984 = j. Round i to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 - 1229*w\/6 + 614\/3.\nAnswer: (w - 1228)*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.1, 4876, 3, -5 in increasing order.\nAnswer: -5, 0.1, 3\/4, 3, 4876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 24. Suppose 2*b = 3*w - 6 - n, w = 2*b - 3. Solve -2*f + 3*z + 14 + 7 = 0, b*f = z + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/35)\/(8\/(-20)). What is the closest to -1 in -1\/10, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 2933748.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1776 + -1591. What is the remainder when y is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 - (3 + -6) - 8) - -22.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 8*q + 5*q)*(1 - 2 + 0)*(5 - 2*q - 5) to j*q**2 + y*q + d and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13\/27, 0, -7\/6, -436, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5565 or -5661?\nAnswer: -5565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from atbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -132080 divided by -18\nAnswer: 66040\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -59 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let p be c(7). Let q = 7 + p. Solve q = l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 494 + 295. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -22*c + 22*c - 3*c**2. Let r(f) = -8*f**2. Give r(p(v)).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 214 = -l + 622, 2*l - 5*h = 798. Calculate the remainder when l is divided by 197.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126172840*b**5 - 8962053*b**2 + 4*b.\nAnswer: -7570370400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3805*z - 97909. Give q(26).\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*g - 5*j - 43, 0 = -5*g + 2*j + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196 - 128. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298199 to the power of 1\/2, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356784*t**2*y**2 - t*y**2 - 52720*t*y wrt t.\nAnswer: -713568*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -444, -715, -1126, -1677, -2368?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -773?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + 11.5. Let h = -12.55 - 0.57. Let g = w + h. What is g rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 1937716 - 278663 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 2*b + b + 0*b. Let a(n) be the first derivative of n**4\/2 - n**3 - n**2 + 202. Let i(l) = 8*l + 1. Let o be i(0). What is o*a(v) - 3*y(v)?\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 29*l + 98. Calculate g(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -460279412.895 - 1.\nAnswer: -460279413.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334 + -331. Solve -k = -4*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 2*s**2 - 17*s + 96. What is h(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**2 - 9315*w + 696150 = 0?\nAnswer: 78, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxkhlktt. Give prob of picking 1 t and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 - -5566182?\nAnswer: 5567474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*d**3*p**3 - 6*d**3*p - d*p**3 - 15*d*p**2 wrt p?\nAnswer: -1176*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 5170317?\nAnswer: 62043804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 3*u - 4. Let v(a) = -a**2 + a + 1. Let p(j) = -j - 3. Let t be p(-6). Let w be 4\/(-1) - -3 - t. Determine w*v(n) - z(n).\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 776353903 a multiple of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 5*t**2 + 9*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2 - (-1)\/(-2). Suppose 3*z - 5*s = z + 16, -3*z + 15 = -d*s. Calculate the remainder when 11 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = q. Let x(k) = 16400000*k. Let n be x(q). Round n to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 37*g + 56*g - 5*g - g - 20*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.55 > 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-27)\/15)\/((-2)\/(-35)) and (-182)\/60 - 6\/45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23630565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1997\/589 or 3?\nAnswer: 1997\/589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 1352*y - 2*y**4 - 776*y - 704*y to the form f*y**3 + t + p*y**2 + r*y**4 + g*y and give g.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 13, 653, -1\/6, 8\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 2*p - 3*n, -12 = -p + 5*n. Let j = -175 + 179. Solve 0 = -p*k + j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 372\/310*25\/(-40)*(-2764)\/3. Solve -684 = -7*f - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/30 + 2*b**2. Let d(c) = 3. Let y(x) = 3 - 1620*x + 9 + 1599*x. Let r(t) = 4*d(t) - y(t). What is r(l(w))?\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2497 and -0.2839.\nAnswer: 708.8983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1286 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*x - 1901 = -638 + 2139 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 2*w)*(135*w + 120*w - 96*w)*(-2*w**2 + 0*w + 0*w) + (0 + w**3 + 0)*(-7*w + w - w).\nAnswer: 311*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/930 and -31\/50?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 5\/4 (b) -4\/7 (c) -9 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 915158\/663 + 1548\/221. Let r = y - 1362. What is the common denominator of ((-21)\/14)\/(15\/(-121)) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/7, 0.5, 1\/561, -3.48?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478*g**3*o**3 - 10939*g**3*o**2 - 986117*g**2*o**2 - 3*g**2 + o**3 wrt g.\nAnswer: -2868*o**3 - 65634*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1032 - 582. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)\/v)**28*v*v**1*v**(2\/7) assuming v is positive.\nAnswer: v**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -315*s + 1. Let u be h(-1). Let v = u - 44. Suppose 0 = 4*o - q - 220, -2*o + v = 3*o - 2*q. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {u: 2, l: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + 10 + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:45 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-56)*1*10\/(-15).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - v - 5. Let l be t(-4). Let u = 33 + l. Suppose u = 11*a - 14*a + 78. Does 26 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 27*m**2 - 6*m - 163. What is d(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-60))\/((-59)\/(-60) + -1). Suppose 51 = -9*t + b. Let a(u) = -u**2 - 2*u. Give a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458840*j**4 - 576*j**2 + 10*j?\nAnswer: 11012160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 870022, 1740083, 2610142, 3480199, 4350254, 5220307?\n\"Answer: -t**2 + 870064*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261 + 637. Let j = q - -1055. What are the prime factors of j?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-4*4 - (sqrt(91) - -1*sqrt(91))*5)\/(3*-2*sqrt(28)\/sqrt(4)*-4).\nAnswer: -13*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 2}. What is prob of sequence tj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.81 - 12.80431. Let o = z + -0.0034. Round o to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000170744 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12688 or -12678?\nAnswer: -12688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3887010 rounded to the nearest 10000?\nAnswer: 3890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13662.29487 - -0.29487. Let h = p + 13542.13. Let c = h - -113.1. What is c rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06582515 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 6*t + 5. Let f be n(3). Let r(s) = f*s**2 + 2*s**2 - 8*s**2. Let b(x) = -9*x**2 + 524 - 524. Give r(b(u)).\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 408\/(-28) + (-37)\/(4921\/(-76)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(351\/(-144)))\/(2\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0 - 1\/60*g**5 + 0*g**3 - 21*g**2 + 0*g**4 + 0*g. Let q(x) = 5*x**2. Calculate q(r(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 553 = 169. Let n = 151 + r. Let m be (((-24)\/n)\/(-6))\/2. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/9 and -101\/276490.\nAnswer: 2488410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -11*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. Let l = -4 + 5. Let y = l - u. Is y not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -32. Suppose m + 3*m = q. What is the tens digit of 592\/14 + (-2)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsun when four letters picked without replacement from suyuunnnuoyssnyyyn?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.092, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * 31.\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let p(a) = -3*a - 7. Let q(t) = 2*p(t) + 6*s(t). Let l(n) = 2*n + 3. Let k be 440\/(-1980) - 138*4\/(-54). Determine k*l(u) + 3*q(u).\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4083299.\nAnswer: -2\/4083299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 3. Let i(q) = -13*q + 12. Let j be i(1). Let h(s) = 1. Let t = 4 + -1. Give j*k(o) + t*h(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86d (base 14) in base 9?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 - 3300*z**3 + 87063*z**2 - 160950*z = 0. Calculate z.\nAnswer: 0, 2, 25, 1073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r. Let d be n(-1). Suppose m = -d*m + 24. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 128 and 132 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4019270 (b) -0.2 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 4*u + 3. Let n be b(0). Let o = -10 + 53\/5. Factor 6\/5 + 9\/5*w**2 - o*w**4 - 3\/5*w**n + 3*w.\nAnswer: -3*(w - 2)*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182.477*-5.\nAnswer: 912.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(1\/(-6)). Let o(d) = 5*d**x - d + 4*d - 2*d**2. Let p(a) = 64*a**2 + 8*a - a - 57*a**2 - a**3. What is 7*o(q) - 3*p(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7412.7 + -7413. Which is the smallest value? (a) -2 (b) -1\/5 (c) 0.14 (d) p (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and 4.6427.\nAnswer: -13.46383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*b - 3*p - 113, 0 = -b - 2*p + 35. What is the remainder when 76 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 2*v - 4. Let c(q) = -2*q**2 - q + 3. Let h = -18 + 15. Let d(s) = h*b(s) - 4*c(s). Factor d(x).\nAnswer: 2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghfg when four letters picked without replacement from fwfggfkfkhfhkfk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16*1 - 10\/12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 2*l + 10*l**3 + 371 - 370 + l**4 to f*l + j*l**4 + q + m*l**2 + z*l**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070696 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.28 (b) 0.3 (c) -3\/5 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 60*z - 2431728 = 0. Suppose -14*p = 25*p - z. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 53. Let x be n\/4*24\/(-375). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 12 - 9 - -10) + -2 + (-13 - -54).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6298.26 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4946*j**4*x - 1287*j*x + 10176677*x + 2 wrt j.\nAnswer: -19784*j**3*x - 1287*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0 + 180. What is the lowest common multiple of d and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6584116?\nAnswer: 2, 7, 11, 21377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 536+-51653190.16\nAnswer: -51652654.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7105996, 14212003, 21318010, 28424017?\n\"Answer: 7106007*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j - 1. Let l(c) be the third derivative of -4*c**5\/15 + c**4\/12 - c**3\/3 - 836*c**2. Give -4*f(d) + 2*l(d).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvbvvvvpvppxxptvv. Give prob of sequence bvpx.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615714 and 54606.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyoctocyctovotctytt. Give prob of sequence cyv.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 125558 (base 11) to base 7\nAnswer: 1452154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 3*t - 3*t - 3*t. Let k(o) = -11*o**2 + 4*o**2 + 10*o**2. Calculate k(x(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.2, 0.02, 0.07, -0.05, 27\/5?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 27*p + 27 = 24*p, s - 2 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((-8 - (25 + -3 + 2)) + -2)) + 11.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/30 - 5*l**4\/4 - 34*l**3\/3 + 36*l**2 + 2. Suppose h(u) = 0. Calculate u.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 321550.\nAnswer: -25724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 594 + -593 - (23 - (1 - -1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. What is the third derivative of -3*l**w - l**3 - l**3 - 2*l**2 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 2*n**2 - 6*n**2 + 6*n - 9*n**3.\nAnswer: -9*n**3 + 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - u + u)*(-2 - 3*u**2 + 2 + (u + u + 3*u)*(-2*u + 0*u + 4*u))*(6*u + 4*u + 0*u) in the form m*u**3 + o*u + y*u**4 + w + n*u**2 and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 - 16*j. Let d(l) = -l**2 - 3*l. Suppose -3 + 1 = 2*i. Let q be (2\/(-2))\/(i\/(-3)). Let a = -14 + 30. Give a*d(o) + q*x(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 - 144248*w**4 + 31*w**3 + 51352*w**2 + 8 wrt w.\nAnswer: 120*w**2 - 3461952*w + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 33*j**2 + 43*j + 32. Let d be i(15). Let o = 3.6 - 2.5. Let y = -0.1 + o. Which is the closest to y? (a) -2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00108008 rounded to five dps?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*3\/60*(6622\/(-187))\/(-43).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 655 + -459. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 24*r = 2340. Calculate the highest common divisor of 143 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -489.108 - -499.2. Let v = r - 0.104. Let l = 10 - v. What is l rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3153235370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02496 and 45022.2?\nAnswer: 45022.17504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, e: 1, z: 1, q: 1}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134812925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2053*v**2 + 147*v + 294. Is 87 a factor of p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-12 - (-44 + 10 - -5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8459280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 6*c + 4*c + 3*c to p*c + a and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 636 and 3339.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 3, j: 3, g: 4, o: 4}. Give prob of sequence oxog.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -21 + -22 + (1 + 21 - 4).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 1, p: 1}. Give prob of sequence dp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279554158.\nAnswer: 2, 13, 2089, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/23 (b) 20\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/44 and 99\/2012?\nAnswer: 22132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 37*q**3 - 9*q**3 - 25*q**3 + 5*q - 5*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 2*d + 15. Let r(u) = 5*u - 3. Let x(w) = -4*w + 2. Let o(l) = d*r(l) - 4*x(l). Let y be o(5). What is the greatest common factor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2033 divide 670570819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.014709?\nAnswer: -0.0014709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10302 + 10301.9. What is the closest to 1 in -6\/11, b, 0, -14\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*t - 213*t + 11*t + 49*t.\nAnswer: -273*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeweoeeoqoeew. Give prob of picking 2 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.368 - -0.367362. What is n rounded to five decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3473 - 265. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(7488))**2.\nAnswer: 7483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1 - 12 + k + 9*k. Let g(i) = i + 2. Let z be g(5). Let j(s) = 5*s - 27. Let l(b) = 3*b - 13. Let w(v) = -4*j(v) + 9*l(v). Calculate z*w(y) - 5*d(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, -2, 3\/5, 6939 in ascending order.\nAnswer: -2, 3\/5, 229, 6939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (1 - 1)\/3. Let j(u) = 3 - d + 7*u**2 + 3. Let f(i) = -i. Give f(j(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 32*m - 27*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 9 + -12 - 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3899, -7785, -11633, -15425, -19143, -22769?\n\"Answer: 3*k**3 + k**2 - 3910*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -6*i**2\/11 + 2472*i\/11 - 254616\/11 = 0.\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*f - 9 = 0. Let x be 5 + (-1 + -2)\/f. Suppose -2*l + x = 0, -h + 7*l - 10 = 2*l. Solve 6*k + 5 = h*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -3 (b) -438\/7 (c) -3\/703\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 17*s + 3*q, 5*s + 4*q = 0. Let f = -590 + 591. Which is the closest to 13? (a) f (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4 + 259*c**3 - 2719*c**2 wrt c.\nAnswer: -48*c + 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -76, -4 in descending order.\nAnswer: -4, -37, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (1 + -3)*2 + -74.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 + 9 + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15226230259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10449479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*l + 122 = 5*w, -3*w + 74 = -2*l. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -101c4?\nAnswer: 101c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbttbqbqhbq. What is prob of picking 2 t, 1 b, and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a0896 + 835?\nAnswer: -1a0061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49672, -57179, -69690, -87205, -109724, -137247, -169774?\n\"Answer: -2502*l**2 - l - 47169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 3)\/(5\/(-10)). Find the second derivative of 31 - 8*u**f - 11*u - 31 wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 291 = 2*y + 331, -n + 5*y = 0. Solve -13*f + n*f = 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 7. Let p(x) = 2. Let j(o) = -4 + o - 3 - 7 + 4 + 13. Let r(d) = 4*j(d) - 2*p(d). Calculate 4*r(g) - 6*t(g).\nAnswer: -2*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2880) - (1 + sqrt(2880))))*4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from {h: 1, r: 1, l: 1, x: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 128*f - 4*f + 7*f - 122*f - 25*f + 6*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.8 + -3.2. Let l = 18.7 + w. Which is the third biggest value? (a) -3 (b) l (c) -3\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 173539980 = -134*b - 185156120. Round b to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1 - 4 - 2*g**3 + 59*g - 8.\nAnswer: -2*g**3 + 59*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 570*d**3 + 2275*d**2 + 2260*d - 20.\nAnswer: 5*(d + 2)**2*(114*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -18. Calculate the least common multiple of s and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*k**3 - 582*k**2 + 122597 with respect to k.\nAnswer: 150*k**2 - 1164*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 181021 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ass when three letters picked without replacement from {a: 3, s: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 428 and 2894.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 64564596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 53, 74, 91, 104, 113, 118?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 2*o + 14. Let g(x) = -x**3 - 8*x**2 + 4*x + 43. Suppose -3*q = 2*d - d + 2, -2*q = d + 4. Let i be g(d). What are the prime factors of h(i)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 683\/1191 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(-1\/5))*u**(-7\/6)*u)\/((u\/(u**1*u))\/(u*u*u\/(u*u**(-1)\/u*u))) assuming u is positive.\nAnswer: u**(79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 + 4*s**3 + s**3 + 2*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - (sqrt(170) + 3*sqrt(170)))*3)*-4*1)\/(sqrt(70)\/(sqrt(77)\/sqrt(176) - sqrt(7))*-6).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 - c**5\/15 + 5*c**4\/24 + c**3\/2 - 12*c**2. Calculate s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/((-9324)\/189))\/(2*(-30)\/(-32)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600814?\nAnswer: 2, 17, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 99*q**3 + 10*q**2 - 11*q - 29. What is the thousands digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/3 + (-1820)\/420. Solve 17*q - 144 = -m*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477764.4 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 34, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -13*d + 903. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - -373. What is the greatest common factor of 410 and o?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*z + 60. Which is smaller: z or -14\/127?\nAnswer: -14\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 48*i**2 + 2*i - 18. Let m be f(8). Suppose 0*w = 2*w - m. Let s = w - 804. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41, -173, -405, -737, -1169, -1701?\n\"Answer: -50*n**2 + 18*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let k(h) = 257*h - 3 + 240*h - 686*h + 272*h. Calculate k(y(u)).\nAnswer: -83*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88141*w**3 + 101546*w?\nAnswer: 528846*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1 - (-1)\/3). Let y be 14 + r + -1 + -1. Let j = y + -4. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8720159078 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1047228 divided by -274.\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5))**(-11\/5)*((b**10\/b)\/b)\/b*b**(-2\/21) assuming b is positive.\nAnswer: b**(376\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13763, 27527, 41289, 55049?\nAnswer: 68807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15592 - -15587. What is the closest to 2.9 in -2, -9\/2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (16 + -9 - (10 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvxvmhmmmxhmmxhmmvx. What is prob of picking 2 m?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 = -2*p. Suppose 763 - 263 = 4*n. Let o = -104 + n. Solve o = 3*h + p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -302, -5, 9, 0 in decreasing order.\nAnswer: 9, 0, -1, -5, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q - 8. Let w be y(4). Suppose -3*x + w*z + 16 = -2*x, -5*z = -20. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263584126 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(-1 + -1 + -2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2586*g = 64430 + 80386 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -50*q**3 - 2*q**2 + 3*q + 2. Let j be v(-2). Factor 9*x + 15*x - j*x**2 + 416*x**2 + 4*x**3.\nAnswer: 4*x*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48466, -48621, -48774, -48925?\nAnswer: -49074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = -3. Let v = 12 + -8. Let p = 6725\/4486 - -2\/2243. Put j, p, v in descending order.\nAnswer: v, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, k: 6, r: 1, i: 1}. Give prob of picking 1 k and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -142, -324, -648, -1162?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/32050 and -56\/8823365.\nAnswer: 88233650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12031348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 12. Let a be k\/((-2)\/2) + 2. Solve d + a*d = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890785588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 78775 * 0.1\nAnswer: 7877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.3067 centimeters in kilometers?\nAnswer: 0.003583067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/4)*h)**(-30)\/(h\/(h*h\/(h*h**(8\/5)*h))*h*h**(-3\/5)))**(1\/11))**(-40) assuming h is positive.\nAnswer: h**(1020\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -467*d - 42340 + 42340 + (-1 + 1 - 2)*(0*d - 3*d + d).\nAnswer: -463*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 8*l + 48. Let k(u) = -u. Let x(i) = -5*i - 4. Give l*k(z) - x(z).\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (21\/12)\/((-1)\/(-4))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6811 - -6815. Solve -c - m = 14 - 12, c + 5 = -s*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23353271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Let c = d + 7. Suppose -10*y + 260 = -c*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 4 - 52 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93393534 a multiple of 2140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/19 (b) 0 (c) -4 (d) -313 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -66*f + 1. Let w be s(-1). Let t = w - -8. Suppose u + 4*a = t, 2*u = -4*a - 0*a + 134. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26428033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 16. Let i = c - -4. Let p(x) = -4*x**3 - x**2 + 2*x - 2. Is p(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 152 = 5*l, 22*l + 446 = 5*h + 18*l. What is the remainder when 340 is divided by h?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 17856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 6. Let z(a) = -12*a - 117. Let w(s) = d(s) - z(s). Calculate w(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.7 - -33. Let i be 10\/(-12)*5\/(400\/(-24)). What is the third smallest value in -0.1, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71.927 + 72. Let y = 1.927 + h. Let s = 101\/2 + -49. What is the nearest to y in -3, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 28*p**2 + 29*p + 4. Let h be (-4)\/3 + (-300)\/(-9) + -3. Let q be n(h). Solve 5*j + 4*z - 11 = 0, q*j + 3 = 5*j + z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**2 + 412000*h + 824016 = 0?\nAnswer: -2, 103002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 104*r**2 - 810*r + 1548.\nAnswer: -2*(r - 43)*(r - 6)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.353576 and -29.\nAnswer: 10.253704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81544, 81547, 81560, 81589, 81640, 81719, 81832?\n\"Answer: b**3 - b**2 - b + 81545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.453 - -0.547. Let w = 0.1 + -5.1. Which is the biggest value? (a) y (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, v: 2}. Give prob of picking 1 s and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 145\/(-20). Let l(d) = 2*d**3 + 15*d**2 + 7*d - 5. Let p be l(x). Put -4, -2\/3, p in ascending order.\nAnswer: p, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1519, 1620, 1565, 1354, 987?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -45. Suppose -4*t + 0*t - i*z + 195 = 0, -251 = -5*t + z. Suppose -t = 4*d - 130. Solve -7*c = -2*c - d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1170 (base 10) to base 12\nAnswer: -816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/7 and -2\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 14) to base 2.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 6*z + 74)*(57 - 13 + 25 + (-4 + 2 + 1)*(0 - 1 + 5) + (2 + 0 + 0)*(0 - 1 - 1) + 4 - 3 + 0 + 1 - 1 + 1).\nAnswer: 378*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40602 is divided by 5074?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -16. Let v be (32\/12)\/(j\/(-6)). Solve -2*t + 2 = -v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let q(y) be the second derivative of -151*y**4\/4 - y + 332. Give d(q(b)).\nAnswer: -205209*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 1:07 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.7 (b) 2\/35 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/8, 8, 1, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71360318.\nAnswer: 2, 35680159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**7\/1960 + g**6\/180 + 17*g**5\/840 + g**4\/28 + 17*g**3\/3 + 13. Let i(l) be the third derivative of w(l). Factor i(c).\nAnswer: (c + 1)*(c + 3)*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrr. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 420963?\nAnswer: -841926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from apaauujuuuppuupjuujp?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122894 + 1009383753.\nAnswer: 1009506647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -156815.38 to the nearest 100.\nAnswer: -156800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11*1\/(-4))\/((-20)\/19040)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 6432*x\/5 + 19161.\nAnswer: 3*(x + 15)*(x + 2129)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*4\/(-320)*-304*-5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-76))\/(-1)*(-4772)\/69194.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*u + 199*u = -45. Suppose 5*i - 8 = p, 0 = p - 4*i - 1 + 6. Solve 2*d + u = p*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i - 20450 + 16050 = 0 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szsz when four letters picked without replacement from zzzzszzs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*l**2 + 3*l - 5*l - 16*l**2 to the form r + v*l**2 + f*l and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 + 5 - 1. Let a = 100 + -110. Let g = a + w. Sort g, 4, -3 in descending order.\nAnswer: 4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4 + 6*g + 0 - 3*g + 2. Let i(y) = y. Let x(n) = n**2 + 22*n - 22. Let w be x(-23). Determine w*r(c) - 2*i(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 15 - 99. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 2*k. Let v(n) = n**2 + 7*n + 2. Let p be v(-5). Let r = p + 6. Let q(x) = x - 1 - x**2 + 2 + 2*x. Give r*q(z) + 3*j(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -495591, -991184, -1486777, -1982370?\n\"Answer: -495593*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 5*u**3 + 2 + 6 + 3*u**3 to r*u**3 + j + a*u**2 + f*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1064636305 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 - 9*g - 8. Calculate y(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t + 2. Let k be j(0). Suppose 3*y = -k*y. Let s(r) = -r**3 - r**2 - 4. What is s(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqkf when four letters picked without replacement from {s: 3, u: 2, f: 1, q: 3, i: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9964.99995923 + -9965. Round n to 6 dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**2 + 26*z - 619. Calculate k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6357365918 less than 0.5?\nAnswer: 6357365918.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -293.4045 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-162)\/72 - (-2)\/8. Let z be 0 + (y - 1) + (-783)\/(-243). Which is the closest to 1\/3? (a) z (b) -11\/3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5421293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3809864 (base 10) to base 15\nAnswer: -503cae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (65 - 14 - -31).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803 and 18362128.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Let m = 12 + -8. Suppose m*g - 18 = j. Sort 4, g, 2 in decreasing order.\nAnswer: g, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 26. Let n be (-1)\/2*(4 - t). Let r = -0.1 - -0.2. Which is the closest to r? (a) 1\/2 (b) 2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -22. Let t = -6.34 + 0.34. Let h = c - t. What is the second biggest value in 0.5, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-33) + 810\/891. What is the fourth biggest value in x, 1\/7, 18, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329101584 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 845 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/31)*c)\/c**(-14\/11))\/(c\/c**4*c**22\/c) assuming c is positive.\nAnswer: c**(-4703\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4473 and 40924968?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 47610*z - 238058. Calculate g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 2, b: 3, j: 3, r: 3, a: 2}. Give prob of sequence atj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -2, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1406*o - 431. List the prime factors of v(-8).\nAnswer: 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-27))\/((-308)\/29106).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223 - -252. Suppose s*g - 2560 = -3*g. What is the remainder when g is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24212 + -16292. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 322?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1144*c**2 + 0*c**3 + 1524*c**2 - 6*c**3 - 13496*c**2.\nAnswer: -6*c**3 - 10828*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + o**2 + 3*o + 2. Let r be d(-1). Which is smaller: -0.2 or r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let t(a) = 14205391*a**2 - 2*a. What is u(t(j))?\nAnswer: 71026955*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 2, 4, -1 in descending order.\nAnswer: 42, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-100)\/(-16) - 10\/104?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 + -2 - -8) + 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.32 + 1.6. Let h = -501.3 + 501.5781. Let y = t - h. What is y rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4426 = -0*a - k, -4*k + 889 = a. What are the prime factors of a?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 1052 = -4*i - 966, 0 = -3*i - 4*s - 44 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 100 (b) 2\/69 (c) -2\/7 (d) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - 2*r + 1. Let u be p(-2). Let q(v) = v**3 - v**2 + 2*v - 1. What is the units digit of q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.41553 and 0.199.\nAnswer: 0.28169047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, j: 2, s: 4, a: 4, c: 2}. What is prob of sequence pj?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 38 = -2*k, k - 991*w = -993*w - 19 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, -24, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 1. Let t be o(-1). Suppose 4*n - 17 = -1. Let j = -1 - 1. Sort j, t, n in descending order.\nAnswer: n, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:28 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -542.00838 and -1.028.\nAnswer: -543.03638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384332014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1042 and -5.\nAnswer: -5210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*2*(-16)\/(-132)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -177. Suppose -u = 117*a - 113*a. Is -9 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*x = 253*x - 50. What is the least common multiple of x and 16?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4688 by -1.\nAnswer: -4688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 134, 124, 110?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06279303463 to five dps.\nAnswer: 0.06279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 97147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 271697190 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Let t(f) = 3*f**2 - 4*f + 1. Suppose -54 = -12*x + 9*x. What is the smallest common multiple of x and t(g)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14976 = -1870*o + 3022*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdvyvvjv. What is prob of sequence jd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**3 + 13*i**2 + 211*i + 8. Let x(j) = 5*j**3 - 8*j**2 - 105*j - 4. Give -3*b(s) - 5*x(s).\nAnswer: 2*s**3 + s**2 - 108*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 234\/(-336)*(-2)\/3. Let t = 5\/7 - b. Find w, given that 0 + t*w - 1\/4*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 253*v**2 - 81*v + 307. What is the ten thousands digit of b(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g + 4742 = 44*g - 5016. Calculate the remainder when 4175 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25864 is divided by 90.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13506 is divided by 9196.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*v*z**3 + v*z**2 + 23*v - 1181*z**3 + 210*z**2 + 2167673*z wrt z?\nAnswer: 498*v*z + 2*v - 7086*z + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**4 - 55*h**3 - 12*h**4 + 63*h**3 - 2*h**2 - 4 + 3*h in the form w*h + p + n*h**4 + q*h**2 + r*h**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 60. Let z be -109 - (-3)\/i*-4. Let y = z + 264. What is the highest common factor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -27*j**3 - 144*j**2 - 48*j - 42. Determine f(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50597 divided by -19.\nAnswer: -2663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3 - 2*q + 0 + q**2 + 2*q**2 - q**2. What is the smallest common multiple of -1 - (-2 + 9)\/(-1) and c(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194767850 and 3090?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 783 and 357183.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 445, 444, 443, 442?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11706*d - 3551*d - 5872*d)*((-2 + 3 + 0)*(d - 4*d + 4*d) + 3*d - 4*d + 3*d + 3*d - 2*d - 3*d - d + 4*d - d).\nAnswer: 6849*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -41, -54, -69, -86, -105, -126?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1451292121 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 568 = -564. Let q be -35*(-4)\/20 + j. Solve -4*w = 7*s - q*s - 36, 0 = 3*s - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17418 + -0.3737?\nAnswer: 17417.6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 15. Let a be l - 2 - (-24)\/21. Let o = 3 + 0. What is the third smallest value in -0.2, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2450*f**2 - 9920*f**2 - 6*f + 6*f + f**3.\nAnswer: f**3 - 7470*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486 is divided by 58.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:34 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036.744ml in litres?\nAnswer: 1.036744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16473658.\nAnswer: 2, 23, 37, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(7\/3) assuming j is positive.\nAnswer: j**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 1, m: 2, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122977*a + 159365 with respect to a.\nAnswer: -122977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -1429.\nAnswer: -22\/1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 4, -2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v - 4*v**2 - 61 + 3*v**2 + 60 to the form q*v + u + z*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-6) - 14\/21. Suppose n*b = -2*t + 54, -b = 4*b - t - 85. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 511666?\nAnswer: 512010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -190024.\nAnswer: -570072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/((-6486)\/184851)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*(i**(-3)*i)\/i*i)*i*i*i**(-2\/7)*i**(-3)*i**(-2)*i*i*((i\/(i**6\/i))\/i**(-6))\/((i*(i*i**3*i)\/i*i*i)\/i**(-1\/12)) assuming i is positive.\nAnswer: i**(-367\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -3*p**7\/7 - 17*p**4\/4 - 107*p**3\/3 + 150. Find the third derivative of u(s) wrt s.\nAnswer: -360*s**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38137 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 80*c - 1182 = 82*c, -2*n - 4*c = -566. What is the remainder when n is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 63*b + 18*b - 159*b as y*b + t and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/3*(-13)\/(-195)*24. Let d(i) be the first derivative of -w*i**2 - 10\/9*i**3 + 17 - 1\/6*i**4 - 8\/3*i. Solve d(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274*m*w**2 + m*w - 3*m - 3*w**2 + w - 47 wrt w?\nAnswer: -548*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -q - 3, -4*q + 5*m - 2*m - 1 = 0. Are q and -7\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59241 (base 12) in base 2?\nAnswer: -11101001100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/13 + 6602*s\/13 + 6600\/13 = 0 for s.\nAnswer: -3300, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - 0.0628?\nAnswer: 81.9372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 9\/7, -2, 1, -3, 29 in descending order.\nAnswer: 29, 19, 9\/7, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113309017 is divided by 2791.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5979499987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 14*p**2 + 30*p - 32. Let d be q(-16). Solve d = -r, 4*z = -4*r + 2 + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*2*sqrt(720)*-3 - (sqrt(720) - 6*-2*sqrt(720))*2)*-6 + -1)**2.\nAnswer: -1440*sqrt(5) + 2592001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + (sqrt(980) + -2*sqrt(980) - sqrt(980)) + sqrt(980) + sqrt(980))\/sqrt(4) - (-3 + sqrt(720) + -1*sqrt(720))) + -4 + 2*(-3 + sqrt(5)*-2)*-6.\nAnswer: 35 + 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*n**2*o - 1863948*i**2*o**2 - 759*i*n**2 - 11*i*n*o**2 - 2*i*o**2 - 21*n*o**2 - 2*o**2 wrt i?\nAnswer: -2*n**2*o - 3727896*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 834734 and 256598?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 64726037 to the nearest 1000000.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i**3 + i**2 + 10*i**3 - 2*i + 2*i**2 - 32*i**3 to y*i**2 + p + o*i**3 + v*i and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3948)\/(-273) - 24\/52. Is 11 a factor of 186 - s\/((-84)\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*z + 10 = 0, -2*k - 4*z = 3*k. Let q be 23 + k\/(-2 - 0). What is the greatest common divisor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**3 - 3*y**2 - 4*y. Let i be z(-1). Let o(x) = 2*x - x**2 + x**2 - 2*x**2. Let r(b) = -b**2 + b. Calculate i*o(h) - 14*r(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*b - 5*i = 542*b - 14, -5*b + 8*i = 2 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-26)*(-2)\/1. Let r = 24 + 38. Let k = -61 + r. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 2, l: 5, t: 2}. What is prob of picking 1 l and 2 t?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {c: 1, t: 1, b: 2, p: 1, j: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 312112987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4, 70041, 1\/13, 3?\nAnswer: 70041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4269*w**3 + 12*w**2 - 6*w - 88. Let c be n(-8). Round c to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 32 + 1\/4*r**4 - r + r**3 + 0*r**2. Let c = 1 + -3. Calculate j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 9 = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89957, -89959, -89961, -89963?\n\"Answer: -2*n - 89955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-166)\/(-4) - (-5 + (-88)\/(-16)). Suppose -3*u + 47 = o. Suppose u*m = -11*m + 52. Solve 5*x - m = 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + b + 14, -5*v + 2*b + 17 = -17. Let r be (0 - -30)\/(1\/1). Suppose -t - r = -v*t - l, t - 6 = 5*l. Solve -4*f = 2*d - t*d, 0 = 2*d - 3*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -203, -271, -339, -407, -475?\n\"Answer: -68*z - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/210*-7)\/((-1)\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxtxttxxxx. What is prob of sequence xtx?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmllllslvvmsllmmllll. What is prob of sequence lll?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -11 + 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - m**4 - 6*m**4)*(0*m - 7*m + 3*m + (3*m - 3*m + m)*(-1 - 2 + 2) + 3 + 2*m - 3).\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 + 2*o**3 - 4*o**2 + 2*o. Let w be l(9). Suppose -22 = -3*p - g, -g - g = -3*p + w. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:52 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 4*t, -7*t - 8 = -9*t. Which is the fourth biggest value? (a) q (b) -3\/4 (c) -3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 4:23 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -116565 times -1\nAnswer: 116565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g**2 + 15*g**2 + g**3 + g + (-2*g - 1 + 1)*(-5*g**2 + 2*g**2 + 2*g**2) to the form h*g**2 + m*g + d*g**3 + s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 689 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c1 - -494?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81 - (8 - 3)) + (170 + -164 - (6 + 0))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 84. What is the third derivative of -31*f**5 - 5*f**4 + 0*f**4 - 462*f**d + 452*f**2 + 2*f**4 wrt f?\nAnswer: -1860*f**2 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-499864)\/12*93\/(-62) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2944618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:56 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 33, -41, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aug when three letters picked without replacement from {y: 1, w: 6, g: 1, a: 1, u: 4}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10113012 (base 4) in base 8?\nAnswer: 42706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1. Let r(q) = -29*q + 256. Let h be r(9). Let k(d) = 8*d**3 - 3. Calculate h*f(c) - k(c).\nAnswer: -8*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (264 - 131 + 39*d - 135)*(-6*d**2 + 26*d - 26*d) as m + u*d + k*d**2 + l*d**3 and give l.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-216)\/(-32))\/(606\/2828). Find v, given that -a + 3\/2*v**3 - 69\/2*v**2 + 129\/2*v = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165*(-17)\/(-561)*(-11)\/(-1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2116 and 7406.\nAnswer: 14812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -3321?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or -27657\/316?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57492112 to the nearest integer?\nAnswer: 7582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 2*y - 6. Let c be d(5). Suppose 3*k + 18 = 2*w, -5*w = k - 3*k - c. Let h = -6 + w. Let m(a) = -a**3 + a**2 - 8. Give m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 537163918 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2842*u + 5394 = -1492*u - 1437*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhssfnfwvwwf. What is prob of sequence whw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 416262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -24*k**2 + 626*k - 58. Calculate f(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 4*u - 10. Give j(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 40. Let d(h) = h**2 + 8*h + 15. Let c be d(b). Calculate the highest common divisor of 15 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252280 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y. Let d(f) = 2 - 3*f - 9 + 7. Give d(x(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6733 + 6740. Let g(n) = -n - 1. Let a(p) = p**3 - 6*p**2 - 8*p - 4. Let q(r) = a(r) - 2*g(r). Let z be q(s). Solve z*v = -0*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 - 1)*(-15755 - 10395*n + 1820*n + 31510 - 15755).\nAnswer: 68600*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3)*2\/((-8)\/(-4098)). Is ((-2)\/(-2) + (-3)\/6)*k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134587 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwut when four letters picked without replacement from {u: 10, w: 2, t: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*v**3 + 5*v**3 + 4 - 3 - 1.\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 0*u - 3*u)*(4*u + 3*u - 2*u) + 6*u**2 - 9*u**2 - 11*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (7 - 2 - (-11 - -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (2 + -6*(sqrt(272) - sqrt(272)*1) + sqrt(272) - (-4 + (sqrt(272) + 1)*-3 + sqrt(272))))**2 + -4.\nAnswer: 192*sqrt(17) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28603*z - 28588*z - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1443647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-14))\/((-1224)\/(-126)))\/(9\/(-18))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 441573*m**3 - 15453830*m**2.\nAnswer: -m**2*(m - 441538)*(m - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2763*x + 72 = -2771*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. Let s be 7\/4 + (-1)\/p. Solve 0 = -5*l + s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -46*d**3 - 9*d**2 - 9*d + 9. Let l(c) = 23*c**3 + 4*c**2 + 4*c - 4. Suppose -7191*z + 82 + 8 = -7201*z. What is z*l(r) - 4*b(r)?\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13552)\/(-242) - (-2873)\/(-51). Let v = 5 - 11. What is the nearest to n in -3, v, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 123448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2795.7165309 + 2778.71653. Let t = 3.2 + 13.8. Let n = t + f. What is n rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 32, 2, 4 in increasing order.\nAnswer: -3, 2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -73212400 to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -150.803. Let p = u - -80.803. Let r = 81.00051 - p. Round r to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0937 in 4, 0.5, -0.4, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + -4 + -7 + 1\/(9\/(-36)). Which is the nearest to 2? (a) q (b) 3 (c) -0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11307*l**2 + 2*l - 1. Let h(c) = 22*c**2. Calculate a(h(b)).\nAnswer: -5472588*b**4 + 44*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 54\/5 of a second?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(14)\/sqrt(2)*-1 + 4 + 6*(2 + sqrt(343)) + 0))**2.\nAnswer: 43050*sqrt(7) + 305200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-3*sqrt(288)*-1 - -3*sqrt(288)*-2))*-1*4)**2.\nAnswer: 5760*sqrt(2) + 41872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.721 - 0.27.\nAnswer: -0.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c5d60 (base 14) in base 8?\nAnswer: 1644240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120412 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 85*l**2 + 3*l - 2. Let q(w) = -w**3 + 56*w**2 - 2*w + 2. Let n(s) = -3*q(s) - 2*r(s). Let x be (0 + 0)\/2 - 2. Determine n(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 3*p**5 - p**4\/6 - 9*p**3\/2 + 2*p - 15. What is the second derivative of v(n) wrt n?\nAnswer: 360*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -1\/3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 12 + 9 + 8*j**3 + 6*j**3 - 18.\nAnswer: 7*j**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 13) + -140 + 145 + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 77\/2 + 2\/4. Suppose -3*o + 4 = 2*c + 2, 4*c = 5*o + 26. Suppose 2*j - 9 - 67 = -g, 114 = 3*j - c*g. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 11*t**2 - 12*t - 7. Let u be f(-12). Let m be (-330)\/(-27) + 8\/(-36). Let b = u + m. Solve 0 = -0*l - b*l - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.6416 kilograms in grams?\nAnswer: 33641.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {d: 1, i: 3, c: 7, j: 5}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7617 by -59.\nAnswer: -7617\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-1575)*-12)\/((324\/30)\/(-9))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210*3)\/14)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40873712059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1402, -1419, -1436?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486)*3)\/(sqrt(18)*-1))\/(3*5*sqrt(900)*-1).\nAnswer: sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*a - 35, -23*a - 46 = -21*a + 89*p - 92*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = 0. Suppose -5*s + 55 + 5 = w. Calculate the remainder when 45 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 - 5*o**2 + 6*o + 16. Let g be r(-3). Let y(q) = -11*q**3 - 3*q**2 - 3*q. Let h(j) = -364*j**3 - 98*j**2 - 98*j. Determine g*y(s) - 6*h(s).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1810)\/(-20) - 2\/4. Let o = 47 + -29. Calculate the greatest common factor of w and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Calculate the lowest common multiple of (-7)\/(3 - 28\/8) and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -2285?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051462455 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279365137.\nAnswer: 279365137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueuu when four letters picked without replacement from eueueeuueeuee?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*w - r, w - 7 = 3*r + 8. Solve -s = 6*t - t - 17, w = s - 5*t + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32616 (base 7) in base 14?\nAnswer: -2db6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b1a + 0?\nAnswer: 8b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 8*l - 1. Let y(g) = 3*g**2 + 61*g + 22. Let n(z) = 6*j(z) + y(z). What is n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 53 = -8*b, 6 = 4*w + 4 + 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*q - 3058 = 124*q - 2440 - 9662 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -15) + 12 - (-158 - -42 - (2 - 6)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6 - -2) + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*z + 98*z - 9982 = -22258 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1408*n + 12 = 1402*n + 4*k, 11 = -8*n + 6*n - k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24 (b) -3\/5 (c) -7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - (-131 - -37) - (3 + -3 - (0 + 6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 368 - 346. Calculate the lowest common multiple of t and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.41 * -24\nAnswer: -57.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75051 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.3 (b) 4\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168512.1 and 3.\nAnswer: -505536.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 65*c**4 - 90*c**3 + 25*c**2 - 40. Let g(a) = 5*a**4 - 7*a**3 + 2*a**2 - 3. Let t(d) = -40*g(d) + 3*m(d). Let t(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5, -3*n - 69 = -3*m - 0*m. Let u = 42 - m. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*k = 45, -4*j + 28 + 31 = 5*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71547399 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -211?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from zizieeicizciieii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = 42*o - 1088 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:39 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41123 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 120 + 70 + (1 - 2) + -14?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/38 + 395640\/152.\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g = 0. Suppose 2*j - 6*j = g. Solve 4*z + 8 = j, -4*f - 2 = 2*z - z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318264416066 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 76 + 76 - p + 2*p**2 to the form m*p + k*p**2 + j*p**3 + t and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25973.53 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166840 and 2813920?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -346 - -421. What is the remainder when z is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -4\/5 (b) -0.3 (c) -1 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 9*u - 8. Calculate q(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + 292. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2aa03a13 - 3?\nAnswer: -2aa03a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.0848 - 0.0848. Which is the closest to 0? (a) i (b) -3\/4 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -444?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -12 (c) -4\/7 (d) 1\/9 (e) 102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -249621648*c**3*q + 7136234*c**3 + 12*c**2 wrt q?\nAnswer: -249621648*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1220201012 (base 3) to base 6\nAnswer: 450305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 64 - 31. Let d = 5 - r. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b - 2?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7368443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0871803 millilitres?\nAnswer: 0.0000871803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 39. Suppose m - 5*f - 2 + 11 = 0, -2*f = -5*m - 68. Is 1\/t - 1080\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -9024.8?\nAnswer: -9024.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1383753*d**2*v + 50*d*v - 2*d - 4088*v wrt d.\nAnswer: 2767506*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 112702?\nAnswer: 676212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*-0.26.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -109.9878. Round i to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - -1*(2 + -1). Let a(w) = w**3 + 12*w**2 + 10*w - 7. Let u be a(-11). What is the highest common factor of u and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -48, -46, -44?\n\"Answer: 2*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-5*x + 2*x + x) + x - 3*x + 0*x - 10 - 6*x + 10 + (4 - 6 + 4)*(2 - 2 - 3*x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 - 157*i**3 - 22569*i**2 + 157*i + 22568 = 0. What is i?\nAnswer: -91, -1, 1, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 - 9779a7?\nAnswer: -977971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/15 - a**4 - 18*a**3 + 458*a**2. Factor w(l).\nAnswer: 4*(l - 9)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18147 + 127681\/7. Let z = 93 - w. Let u = -181 - -1627\/9. Which is the third smallest value? (a) u (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -5, 2, 5.\nAnswer: -5, 1, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -794 (b) -2 (c) 0.06 (d) 0.1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.7043 to two dps.\nAnswer: -28.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30009, 60020, 90031?\nAnswer: 120042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1030404285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 6. Let i be b(-6). Let p(u) = -3*u**2 + 8*u + 10. Let s(z) = z**2 - 4*z. Let v(t) = p(t) + 2*s(t). Calculate v(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -4. Let p(f) = 2*f**2 + 11*f - 5. What are the prime factors of p(i)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54947.23 millennia in months?\nAnswer: 659366760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46862.36 nanograms in milligrams?\nAnswer: 0.04686236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4175 + -3663. Calculate the remainder when u is divided by 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48430 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -94*m. Let b(w) = 1706 - 3415 + 4*w + 1709 + 5*w. Calculate l(b(o)).\nAnswer: -846*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + p + 1 + 3*p - 3*p. Suppose 0 = -2*u + 2*y + 10, 4*u + 21*y = 24*y + 25. What is the remainder when l(-10) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 73 = 5*k, -3*k + 0*l - 31 = -4*l. Let b = -11 - k. Suppose 0 = -b*o - 4*o + 156. Calculate the highest common divisor of 286 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-312)\/(-130) - (-4)\/(-10). Solve 10 = -0*h + k*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 57*x + 778. Let s be h(34). What is the second smallest value in s, 2, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448))) + -2 - sqrt(2448)))**2 + -4*(1 + sqrt(17))*3*2).\nAnswer: -7380 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/5 - 81*n**4\/5 + 411*n**3\/5 - 711*n**2\/5 + 378*n\/5 = 0. What is n?\nAnswer: 0, 1, 2, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -46*w - 2. Let q be f(2). Let c be (-2 + -1304)\/(32\/q). Let s = 3829 - c. Find the common denominator of 57\/16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from mnmxrnrrrmrr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 5*z**2 - 4*z + 2. Let d be x(4). Let w = d - -28. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 = 16. Suppose -3*x + t = -x + 3*q, -3*q - 2 = -x. Let m = 1 + x. Solve -2*a = -4, 3*j + m*a = -a + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 23*m**3 + 8*m**2. Let b(f) = f**3 + f**2. What is -24*b(k) + 3*t(k)?\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45015 + 80891 = 22*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, y: 2, b: 1, r: 1, p: 2}. What is prob of sequence zpk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 7. Let r(v) = -v**3 - 9*v**2 - 7*v + 8. Let j be r(-8). Suppose 225 = -2*y + 4*y - 5*x, j = x + 3. Calculate the highest common factor of y and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 24127093.\nAnswer: 17\/24127093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 9. Let o be i(-12). Suppose -5*n = k - 138, k - 9 + o = n. Calculate the highest common divisor of n and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132298 and 87?\nAnswer: 396894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + 10*t**2 + 17*t + 1. Give j(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22332, -22353, -22374, -22395?\n\"Answer: -21*n - 22311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/3 less than or equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e61 + -2?\nAnswer: -e63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41984.16 days to minutes.\nAnswer: 60457190.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112578529 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a + 4*k - 5 = 0, -3*a = 5*k - 4. Suppose -f + a + 2 = 0. Solve -4*d - 22 = x - 2, f = -5*x - d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458522993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.94 + 11. Let a = 0.38 - m. What is a rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p - 15. What is m(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48688 + 323301. Suppose -3*l - 124387 - m = 0. What is l rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*k - 59475 = 143*k. List the prime factors of k.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120944435 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 287 - 2?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -120.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205693*g + 1283 + 102859*g + 102846*g to a*g + d and give d.\nAnswer: 1283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 68760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 12*q - 25. What is the remainder when 40 is divided by i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 109095476.1292?\nAnswer: -109095481.1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 3*o + 3 - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/780 and 41\/7.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 22.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-56 + 70 + 69).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 512\/(-56)*69972\/(-4704)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11. Suppose r = -5*z - 5*h + 105, -h = 3*z - z - 47. Calculate the highest common factor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.76, -1, 8, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5452311 + -211?\nAnswer: -5452522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -8.84.\nAnswer: -26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i + 185. Let t be c(13). Suppose -801 = -3*d + 6*p - t*p, 538 = 2*d + 2*p. Which is smaller: d or 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w**3 + 123*w**3 - 62*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203\/58 - 1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + -493\/6. Find the common denominator of 77\/10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/244400 and 44\/3055?\nAnswer: 244400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.8 - -0.0767617423?\nAnswer: -78.7232382577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 128626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l**2)*(-298*l**2 + 117*l**2 - 5*l - 166*l**2 + 50*l**2).\nAnswer: 297*l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 + 190 = 5*x. Calculate the greatest common divisor of 42 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80.933518684 - 0.066567316. Let q = g - -81. What is q rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10d (base 16) to base 9\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 - 6*w**2 - 19*w - 17. What is z(5)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:45 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/31))**(-7\/4)*(((c\/(c\/((c\/(c\/(c\/c**(-3\/10))))\/c*c*c)))\/c)\/c)\/(c\/c**(-1\/7)))**(-10) assuming c is positive.\nAnswer: c**(10763\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032298 rounded to five decimal places?\nAnswer: -0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/4 + 55*m**4\/12 - 25*m**3 + 12*m - 139. Determine k, given that v(k) = 0.\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49672 is divided by 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 7. Let h be b(-9). Let f(p) be the first derivative of p**2 + 0*p - h - 1\/3*p**3. Find the second derivative of f(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 314839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*i + 4*r + 4, -3*i = 2*r + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556*k = -606*k. Factor 0 + k*c**2 + 2\/3*c**5 - 2*c**4 + 4\/3*c**3 + 0*c.\nAnswer: 2*c**3*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 3) + (13 - 5) + 12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*k - 219, -k = -4*o - 12 - 19. Suppose -t + k - 12 = 0. Let p(r) = 4*r - 7. What is the remainder when t is divided by p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.8 + -319.2. Let a = n - -349.00201. Round a to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 + 0)*(b + b - 5*b) + 389*b - 982*b - 1403*b + (-3*b + 4*b - 2*b)*(0 + 4 - 2) as d + n*b and give n.\nAnswer: -2013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -4\/7, 1, 3023\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(1\/2))\/(x*x**14\/x))\/((x*x\/x**(-1\/10))\/x**15))**(-24) assuming x is positive.\nAnswer: x**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 297774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 + 4*d + 2. Let s be i(5). Let f be 3 + 1\/((-3)\/s). Let r = -197 + 203. Calculate the greatest common divisor of f and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*x - 88 = -2*n, -4*n = -2*x - 94. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose d = 2*t - 0*t - 94. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 133232344?\nAnswer: 133232341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/21 + 223\/1113. Let x = 43\/265 - j. Let f(h) = -h**2 + h - 1. Let a be f(0). Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7 - 3*g + 7*g + 6*g. Let u be (-2)\/(-7) - (-594)\/126. Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 - (-95 - -121)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 3.8.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + -8 + 8 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/7672 and 97\/122192?\nAnswer: 16740304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 4*t**3 - 3*t**3)*(-197*t**2 - 13*t + 202*t**2 + 107*t).\nAnswer: 10*t**5 + 188*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920492 = -46*m + 297864. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -24*o - 194. Calculate the smallest common multiple of (-2474)\/o + (-19 - -11)\/48 and 12.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x - 3. Let j be g(-7). Let u be (-2 + 2\/j)\/(6\/(-36)). What is y in -y**3 - y**4 + 12*y**2 + 2*y**4 - 6 - 7*y**4 + u*y - 8*y**3 = 0?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 64. Let v(t) be the second derivative of 1\/10*t**o + 0*t**3 - 1\/12*t**4 - t + 0 + 0*t**2. What is the third derivative of v(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/30 + 3\/(-3))*(-50)\/(-30)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*p - 14971 - 50005 = 1176*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9516 divided by 78?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/(18465\/2462).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7013 + -1276. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*k = 1330, 3*k = -38*w + 41*w - 2004. Solve -10*z = w - 740 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0445 - -0.1661. Let c = o + -27.9616. What is c rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -162a9 + 1a?\nAnswer: -1628c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z - 40 = -48*z. Solve -2*g - 15 = -z*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*i**3 + 3*i - 29?\nAnswer: -900*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -148 (b) 3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/1298 and -73\/944?\nAnswer: 10384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21019713 and 16731?\nAnswer: 5577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*x + 7 = 0, 0 = -a + 4*x + 13 + 3. What is the third derivative of a*o**2 + 7*o**2 - 2*o**3 + 5*o**3 + 2*o**3 wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f - 162. Suppose 30*v - 1479 + 429 = -480. What is the remainder when f is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/18 - (-4)\/(-18). Let j(s) = -2*s**2 - 17*s - 5. Let c be j(h). Is (1 - (-20)\/(-16))\/(c\/(-13956)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -58?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133488343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 9 = -0*o + o, 2*o = -4*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*j - 183 + 181 - 438*j.\nAnswer: -1102*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(16\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5189202 is divided by 3564.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, r: 3, m: 1, g: 4, w: 5, t: 1}. Give prob of sequence qr.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from qttttdttatttqvadttq?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 0 - 3\/5*h + 6\/5*h**3 + 3\/5*h**2 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*d - 1877, -8*q + 4*q = d - 361. List the prime factors of d.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8720)\/(-14170)*2*-13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 2*z**3\/3 - 203. Let q(m) = 8*m + 3. Give r(q(b)).\nAnswer: 128*b**2 + 96*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13342+493.2403\nAnswer: -12848.7597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 432977835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -4*g**2 - 14*g + 740. Calculate b(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*g - 2*j, 33705 - 33730 = 3*g + 4*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/107 in 0.01, 0.4, 6, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 267 - 178. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 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: Rearrange -88*o**3 + 114*o**3 - 137*o**3 + (-5 + 4*o**2 + 4 - 8*o**2)*(4*o + 0*o - o) to the form v*o**2 + t*o**3 + b + c*o and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 361325 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-110))\/((-2)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and -161668.5?\nAnswer: 28130319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -143a485 + -5?\nAnswer: -143a48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8\/h**7*h**10\/h**(-5\/2) assuming h is positive.\nAnswer: h**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let m(h) = 2*h - 6*h + 3*h. Let i(x) = -f(x) - 3*m(x). Let r(l) = 2*l. Calculate r(i(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 3*k + 2. Let v(u) = u - 2. Let b be v(7). Suppose 2*p + 9 = -p - b*z, p + 4*z = -10. Determine r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 67. Let u be -789990 + -7 - (z - -1). What is u rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16\/b**(-31))\/((b\/b**(-2\/63))\/(b\/(b*b\/b**(-4\/9)))) assuming b is positive.\nAnswer: b**(935\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 + 2*t**2 - t - 4. Let q(u) = -u**3 - u**2 + 1. Determine m(b) + 4*q(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -6 (b) 3 (c) 2.7 (d) -396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -1. Let a(y) = 5*y**3 + y**2 - 3*y. Let f(v) = 11*v**3 + 2*v**2 - 7*v. Give w*a(x) - 4*f(x).\nAnswer: x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/40 - t**4\/24 - 3*t. Let g(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11508923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**5 + q**5 + 4*q**3 - q - 2*q**4 - 5*q**5. Let s(k) = -7*k**5 - 5*k**4 + 9*k**3 - 2*k. Let d(r) = -4*s(r) + 10*t(r). Factor d(m).\nAnswer: -2*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3\/3 + 3*g**2 - 8*g - 181. Suppose a(k) = 0. What is k?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 13 + 0 = 0. Let g = 2.5 + -2. Let k = 4.3 - 4. Which is the closest to f? (a) k (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 14. Let p(b) = 6*b - 28. Give 5*l(q) + 3*p(q).\nAnswer: 3*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 210283 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d + 3896 - 1930 - 1966 + 3*d - 29*d.\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 201?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -6*k - 5748. List the prime factors of k.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/4 + 1)*(-25)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4. Let i = -0.115 + -0.385. Let y be -1 - -2 - 1 - -2. What is the nearest to s in i, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 518472, 518470, 518468, 518466?\n\"Answer: -2*s + 518474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**4 - 21*w**2 + 21*w**2 + (w**3 + w**3 + 0*w**3)*(5 - 5 - w).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34528936 and 6500.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from hhhhhhhhhhvhvvhh.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7055?\nAnswer: 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*1*sqrt(143) + sqrt(143))*2)\/(((sqrt(99) + (sqrt(99) - -2*sqrt(99))*-5 - sqrt(99) - sqrt(99)) + sqrt(99))\/(sqrt(144)*3)).\nAnswer: -64*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3378842 to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 438*q - 48 wrt q?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.77778 and 6184.189?\nAnswer: 6235.96678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbo when three letters picked without replacement from wobopphyoobp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0, 5 in decreasing order.\nAnswer: 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*u + 3713 = -3347 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlvl when four letters picked without replacement from {v: 6, l: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56022180 and -5.\nAnswer: 56022175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/2 - 7*u**2. Give t(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 366.7804 years?\nAnswer: 3.667804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684629563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8604 + -5?\nAnswer: 8599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-341)\/(-10))*(-154)\/14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and -380.\nAnswer: -9120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 15, y: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d. Let w be q(-2). Suppose 3*n - w = -n. Let h = -58 + 60. Put -1, n, h in descending order.\nAnswer: n, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from vnnvvnuudvududvdv.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/22*(0 - 2) - 99. Let v = 93 + n. Sort 8, 5, v.\nAnswer: v, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 13 (b) 113 (c) 4\/105 (d) 3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12740 and 513520.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w)*(-3*w**2 + 6*w**2 - 4*w**2)*(-7133 + 64058 + 86874 - 29448 + 29075).\nAnswer: -286852*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13263 less than -38.1049528?\nAnswer: 13224.8950472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Solve 2*u - 11 = 7*u + 4*y, 5*y = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 28. Let j(u) = -3*u**3 - 4*u**2 - 5*u - 1. Let d be j(t). Suppose -3*s = -76 - d. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -59*i - 32. Let x(b) = 39*b + 22. Let k be (3 - 8) + 6 - -7. Let l(v) = k*x(v) + 5*t(v). Differentiate l(s) with respect to s.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(528\/(-120))\/((-32)\/(-40))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -930*o + 1301. Is 20 a factor of r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b = 164. Suppose -2*y + b + 81 = -3*g, -4*y + 5*g = -323. What is the highest common factor of 616 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = -2*y, -4*y - j + 36 - 87 = 0. Let o(l) = -l**3 - 3*l**2. Let s(g) = -g**2. Calculate y*s(b) + 4*o(b).\nAnswer: -4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45293, -90587, -135885, -181187, -226493, -271803, -317117?\n\"Answer: -2*y**2 - 45288*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 + 6*g + 1. Let r be (-40)\/7 + (-12)\/42. Give z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 845.3 * 9\nAnswer: 7607.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Suppose 0 = 5*f - g - 0. Let r(x) = x**3 - 12*x**2 + 19*x + 14. Let w be r(10). What is the nearest to w in f, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(6 - (-167)\/(-28)). Suppose 4*i - 21 = -5. Let b = i + 10. What is the highest common divisor of d and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 53901.86mg?\nAnswer: 0.00005390186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -860796103\/38 - -22653837. Let a = 1308 - s. Let c(w) = -w**2 + 4*w. Let b be c(4). Is b >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-37.4\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 - 3*v**2 + 6*v**2)*(0*v - v + 2*v) + (v - 3*v + v)*(-v**2 - 3 + 3) to the form y*v**3 + t + z*v**2 + i*v and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 43*a - 35. Let k(z) = 3*z**2 + 65*z + 53. Let q(i) = -5*k(i) - 7*r(i). Does 19 divide q(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -15*d + 966. What is the greatest common divisor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + 6*r**2 - 7\/12*r**4 - 5\/3*r**3 + 0*r - 1\/60*r**5. Let x be b(-13). Put 0, 2, x in increasing order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 5. Let o be s(3). Which is bigger: -11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Let t be (112 + -3)\/((-4)\/(-2) + -1). Suppose 0 = -4*j - i*a - t + 363, 4*j - 5*a - 261 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, -4, 2 in descending order.\nAnswer: 4, 2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -4 + 1\/60. Let a(h) be the third derivative of 0 + x*h**5 + 0*h - 1\/3*h**3 - 4*h**2 + 5\/24*h**4. What is a(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:03 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s - 5. Let d be j(10). Let o = d + 3. Let n(b) = -3*b + 1. Let g(t) = -2*t + 1. Let l(i) = 6*g(i) - 5*n(i). Determine l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/171, 15\/8, -0.1, -0.5, 8, 1.\nAnswer: -0.5, -0.1, -2\/171, 1, 15\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 16. Let z be k(-4). Let b be (-4 - z\/9)\/((-2)\/3). Let a(r) = 31*r**2 - 2*r + 2. Is 20 a factor of a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 654 and 302802?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*x - x - 19 = 0, -h - 5 = -x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-21)*(-45)\/(-210)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 - -194. Let k be (-6)\/q*(4 + 81\/(-18)). Let g = 9 + 0. Solve 0 = -k*p - g, a + p = -0*p - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/11)*k*k\/(k*k*((k*((k\/k**(3\/5))\/k*k)\/k*k)\/k)\/k*k)*k)\/(k**(2\/9))**28 assuming k is positive.\nAnswer: k**(-2738\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11210201120 (base 3) to base 15\nAnswer: 1d049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-1 + (-160)\/(-70))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.1. Suppose 7*j = 84 + 42. Let u be j + -24 - 88\/(-14). Which is the smallest value? (a) u (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9012377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5166, -10329, -15490, -20649, -25806?\nAnswer: -30961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y - 35 = -5*i, 5 = y. Suppose -39 = -u - i*u - 2*p, -2*p + 6 = 0. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 4. Let z(i) = i + 6. Calculate o(z(a)).\nAnswer: -3*a - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 3. Let j be (-8 + 2)\/(p + 3). Let t = 1104.3 + -1104. Sort 11\/3, j, t in ascending order.\nAnswer: t, j, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 109. Suppose 0 = -2*g - 5*b - 19, 0 = g + b - 0*b + 5. Put g, q, -3 in increasing order.\nAnswer: -3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 7*l + 8. Suppose -30 = -l*r - r. Let u = r - 1. Solve 0 = w - 2*w - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeooe. What is prob of sequence eoo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 218 - 218.1. Let y = 6.94 + -7. Let x = y - 0.04. What is the nearest to x in 0.2, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.124+3387921\nAnswer: 3387921.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497445 divided by -3.\nAnswer: -165815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8219703*l**2 - 4033083.\nAnswer: -16439406*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*(-200)\/140.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.164331t to nanograms.\nAnswer: 9164331000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -13. Let v(u) = -4859*u**3 - 7*u**2 - 6*u + 5. Let g be v(r). Let p = 6007235 - g. Round p to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (712\/10 - -2)\/(88\/1760) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 860*j**2 + 22*j + 103. Is t(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12214311 - 23?\nAnswer: -12214334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 114675 = -34*x. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smst. Give prob of sequence ss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(68)*-1*-2 + -1*(sqrt(68) + 0) + -4) + 2)**2.\nAnswer: -576*sqrt(17) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41600000 rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-12)\/(-110)*(-660)\/528?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/7 - 8*s**2\/7 + 1530*s\/7 - 4464\/7 = 0.\nAnswer: -31, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -54, -135, -290, -543, -918, -1439, -2130?\n\"Answer: -4*l**3 - l**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.25475 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551593392.\nAnswer: 2, 3, 7, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2226936?\nAnswer: 2, 3, 92789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 62. Let o be (2\/(-6))\/(4\/s). Let n(c) = 0*c - o*c + 3*c. Let p(i) = i**2. Calculate n(p(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1204)\/903)\/(8\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -9*r**4\/4 + 439*r**3\/6 + 2311*r**2. Give h(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/7 and -17\/4467.\nAnswer: 31269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/5 + 8\/20. Let c = -27 - -29. Suppose z + 4*o = -t*z + 408, -c*z + o + 283 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128368 is divided by 6103?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11303400 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6968, -6979, -7004, -7049, -7120, -7223, -7364, -7549?\n\"Answer: -y**3 - y**2 - y - 6965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - 86*f**2 - 228*f**2 - 36*f**2 - 19*f**2.\nAnswer: -379*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -151 + 74 + -17 + 1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*n - n + 5*n + 822 - 37*n to d*n + a and give a.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(7)*6 - (sqrt(13) + sqrt(104)\/sqrt(8) + -2))*-3 + -5.\nAnswer: -12*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 0 + -6 + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-168)\/175)\/(-6))\/((-2)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, q: 4}. What is prob of sequence qq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {w: 1, h: 8, e: 1, s: 6, k: 1}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.233 + 677.7958077\nAnswer: 677.5628077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3423000 divided by -489000.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 5*g**2 - 4*g**2)*(-5 - 8 - 5)*(389 - 389 - 2*g).\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:07 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Suppose 0 = -5*x - 3*c - 1 + 20, -28 = -4*x + f*c. Suppose 410 = x*y - 395. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 7*l**5\/30 + 3*l**4\/4 + 2*l**3\/3 + 28*l**2. Factor c(d).\nAnswer: 2*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 2 - 2)*(30 - 30 + 44*b)*(-8*b + 11*b + 2 - 5*b)*(1 + 2 - 1)*(4*b - 5*b + 4*b) in the form r*b**4 + p + q*b + y*b**2 + l*b**3 and give l.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9318420487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-10) - (-2)\/(-5). Let r = -385\/8 + 48. What is the second biggest value in 3, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 3*x**2 + 5*x**2 - 20 - 117*x - 338*x.\nAnswer: 2*x**2 - 455*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.155?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -21)*(-26)\/(-8). Let d = 62 + s. Let u(f) = f. Let m be u(-1). Which is the closest to m? (a) 4 (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7545731 millilitres to litres.\nAnswer: 0.0007545731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + m**2 + m + 4. Let f(a) = 21*a**3 - 4*a**2 - 5*a - 20. Determine -11*d(x) - 2*f(x).\nAnswer: 2*x**3 - 3*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 315371\/48 + -6572. What is the common denominator of -119\/48 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)\/b**6*(b**(-3))**(5\/12) assuming b is positive.\nAnswer: b**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + (-307 - (-226 + 106)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4834, 415, 0 in decreasing order.\nAnswer: 415, 0, -4834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411067.\nAnswer: 3, 23, 83, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbssstssstaosa. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(204)*-2 - sqrt(204))*-5)\/((-2*sqrt(144))\/sqrt(12)).\nAnswer: 45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - s - 21, -3*n + 5*s - 35 = -14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.59 (b) 0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + n + 25 - 1 = 0, -4*j - 24 = -2*n. Let f = 2 - j. Factor 3*s**3 - 2*s**4 + f*s**2 - s**5 + 4*s - 59 + 33 + 26.\nAnswer: -s*(s - 2)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuufooouuufp. What is prob of picking 2 f and 2 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5365 is divided by 1721?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 9 + 475*v - 12 - 483*v - 9.\nAnswer: -8*v - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -659 * 4.\nAnswer: -2636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 189 + 49 = 0. Let h = -17 + a. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 = x - r, -2*x = 4*r. Solve 2*y - x + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.64*0.444\nAnswer: 2.50416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251 + 357. Let q = z - 104. Solve -4 = 2*l + q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111021.\nAnswer: 3, 23, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057021429 rounded to six decimal places?\nAnswer: 0.057021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 28973449*r\/5.\nAnswer: r*(r + 28973449)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032583068.\nAnswer: 2, 3, 11, 23, 113371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1131\/7 - ((-18)\/7)\/6. Let m = 145 + c. List the prime factors of m.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.61328 meters to millimeters.\nAnswer: 58613.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 7}. Give prob of sequence tiit.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - -29. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5580\/891)\/(-20) - 1\/(-11).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n = 3054 - 259 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25480 - -40391. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1179*d**2 + 7*d - 111. Is g(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 14*x**3 - 104*x**2 - 66. What is the second derivative of f(r) wrt r?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/57)\/((-71)\/6390).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14364921 and 14364970 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777928 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20517.196 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 394, -41 in ascending order.\nAnswer: -41, -3, -2, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 673 + -672.6. Which is the nearest to -0.2? (a) 5 (b) -0.5 (c) -5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7. What is the closest to m in -2, -0.5, 5\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491232?\nAnswer: 2, 3, 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 40. Calculate u(7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673 - 349. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**4 + 6*f + 529 + 3*f**3 - 5*f - f wrt f.\nAnswer: -20*f**3 + 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 175 - 174.708. Let t = h - 0.382. Which is the third smallest value? (a) -0.5 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 4400164*z**2\/3 - 123204004*z\/3 + 287475552.\nAnswer: -(z - 4400136)*(z - 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 + 47*n - 150. What is h(5)?\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3112464, -6224930, -9337396, -12449862, -15562328?\n\"Answer: -3112466*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2541*h + 40649. Give w(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 1, t: 3, p: 1, i: 7}. What is prob of sequence tp?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 2*q - 4. Suppose 2*d + 3*g - 13 = 0, 5*g - 4*g + 19 = 4*d. Let u(t) = 1 + 0 + 2*t + d*t - 8*t. What is -j(b) - 3*u(b)?\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*v**3 - 98230*v**2 - 374006846?\nAnswer: -36*v**2 - 196460*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 96 = -16*p. Let y = -3\/128 - 229\/1152. Which is the nearest to y? (a) 0 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2034)\/(-5580) + 48\/(-744).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + (-2 - -9))\/2. Sort l, 0, 14.\nAnswer: l, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t + t - 2*f, -8 = 3*t + 4*f. Let s be 7 + t + 6\/(-3). Suppose 5*i = 2*n - 84994, n = 5*i + s*n + 85012. Round i to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 2. Let l be x(2). Suppose 3*r - 2*z = 3 - 15, -z = l. Let s = r + 16. 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 a = -10 + 13. Let b(f) = -f**2 + 9*f - 16. Let r be b(a). Solve 0 + 1\/3*z**4 + 0*z + 1\/2*z**3 + 1\/6*z**r = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 4*l**2 - 7*l - 4. Let q be x(-5). Let g = 229 + -175. What is the greatest common divisor of q and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) -12 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) -0.5 (d) 9 (e) -0.3 (f) 66.75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l**2 - 3 + 83*l**2 - 1 + 5 in the form w*l**2 + h*l + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -38. Suppose -z*j + 15 = j. Solve 2 = -j*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1153536 and 9216?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*q - 18, q + 14 + 13 = 5*c. Suppose -c*l - 1 = 9. List the prime factors of l\/(4\/1256*-4).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11086 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 22 = 18*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011 (base 2) in base 7?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135\/4, 0.1, -0.3, 4\/43 in decreasing order.\nAnswer: 0.1, 4\/43, -0.3, -135\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8*j**4 + 6)*(12 + 3*j - 12).\nAnswer: -24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -927687 smaller than -927687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279 - -101. Let f = -88 - o. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwvm when four letters picked without replacement from {x: 1, m: 5, v: 1, n: 5, w: 1, e: 1}.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -0.8. Let b = d + 0.08. Let h = -46 + 50. Sort h, -1, b in decreasing order.\nAnswer: h, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 22.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320244309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:07 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:46 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**(6\/7)*(w\/((w*w**(1\/6))\/w))\/w**(1\/8) assuming w is positive.\nAnswer: w**(263\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123736 + 2?\nAnswer: 123738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 3*z - 4*a, a + 4*a = -5*z + 205. Let m be ((-3)\/9)\/((-3)\/z). Suppose -m*g = -2*g - 21. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12975*f - 20 = 12970*f. Solve 2*d + f*d + 0*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1. Let p(f) = -2*f**2 + 3*f - 5. Determine 2*o(s) - p(s).\nAnswer: 2*s**2 - 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -29\/1076167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -23*u - 740. Calculate the remainder when 40 is divided by f(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 - ((0 - 17) + 34 + -17 + 11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 11. Let z be g(-4). Let i = 27 + z. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9712 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgkgyqgqbkbbqq. What is prob of picking 2 q, 1 g, and 1 y?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose 0 = x*q - 17 - 4. Suppose 4*g + 371*v = 370*v + 27, -5*g + 45 = -v. What is the smallest common multiple of q and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 12:55 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/120 + u**5\/15 - u**4\/12 + 13*u**3\/6 - 2*u**2 + 376*u. Calculate k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 + q + 7. Let d(a) = 5*a**3 + 15*a**2 - 4*a - 36. Let r(g) = 2*d(g) + 11*p(g). What is r(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 + -120. Factor 4*m**3 - m**c - 20*m - 46*m**2 + 0*m**3 + 3*m**3 + 32.\nAnswer: 2*(m - 8)*(m + 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/704 and -91\/1782616?\nAnswer: 14260928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 532.0228nm?\nAnswer: 0.0000005320228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = 3*h - c, c + 2 = 0. Let z(x) = 2*x**2 - 142*x - 745. Calculate the remainder when z(-5) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13893ac + -5?\nAnswer: -13893b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9587236 to the power of 1\/2, to the nearest integer?\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 - -1011?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12899, -27105, -42627, -59471, -77643?\nAnswer: -97149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 343533223 a multiple of 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -2, -14, -26?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/18 + 1\/(-2). Suppose i = -t - 2*t + 6. Find the first derivative of -3*v + 2 - t - 2 + 0 wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + (-15 + -14 + 26 - 0) - 0) + -124?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61961 - 20*k**3 - 63946 + 21*k**3 to y*k**3 + s + l*k**2 + o*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283397 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259\/2 + 353\/3. Find the common denominator of -40\/11 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -169*i**3 - 7*i**2 - 6. Let w(m) = -m**3 + m**2 + 1. What is -a(n) - 6*w(n)?\nAnswer: 175*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/276948 and -53\/10731735.\nAnswer: 42926940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -4, 11108790?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13813 or -82885\/6?\nAnswer: -13813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.175 + -91.825. Let o = 89.62 - 1.62. Let k = o + g. Which is the nearest to 0? (a) 0.5 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 24, 67, 146, 273, 460, 719?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + 7*y**2 - 7. Let k(d) = d**3 - 3*d**2 + 3 + 2*d**3 + 0*d**3 - d**3. Give -14*k(r) - 6*w(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 64.\nAnswer: 147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/105948 and 73\/1962?\nAnswer: 105948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) 2\/9 (c) 4\/805 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.66199 tonnes to kilograms.\nAnswer: 39661.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(17)*2 - sqrt(17))**2 - ((1 + sqrt(34)\/sqrt(2))**2 + 2).\nAnswer: -326 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q + 8*q + 12*q.\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 2:36 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -433\/4. Let y = 13\/12 - s. Let v(n) = n**3 + n**2 - 2. Let g be v(0). Which is the third smallest value? (a) 4 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 11. Let x be p(3). Suppose -y - 3483 = -x*w, 5*w + 5*y = 2*w + 2101. Suppose 3*t + w = 10306. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4379478, 4379481, 4379484, 4379487?\nAnswer: 4379490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 42*m**3 + m**2 - 1121 wrt m.\nAnswer: 48*m + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {i: 18, t: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(30)\/(-6*sqrt(90)).\nAnswer: -2 - sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2639 - 1302. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 4894707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**22*i)*i**(-10))**6)**(-23))**(-9\/7) assuming i is positive.\nAnswer: i**(-39744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqk when four letters picked without replacement from kvqqvqqqqqvqqqqkvk?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 19. Which is the fourth smallest value? (a) 2\/13 (b) 5 (c) l (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -376 (base 14) to base 15.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 5*l**5 + l**5 + (2*l**5 - 2*l**2 + 2*l**2)*(0 + 6 - 4) + 9*l**5 - 14*l**5 + 8*l**5.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 36*i - 2 + 0 - 174*i.\nAnswer: -138*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.4 - 55.6. Let g = l - -70.1. Let m = 45.9 + -46. Which is the nearest to g? (a) 1 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (14 + -38) - 25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57357 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - 2.98. Which is the nearest to 1? (a) 0 (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 56*y - 11. Let d(w) = 11*w + 13. Let l(t) = -11*t - 10. Let c(k) = -4*d(k) - 5*l(k). Give -11*c(j) + 2*x(j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.81842 millilitres?\nAnswer: 0.08581842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -907 + 907. Solve 3*m - 19 = -q + 7*m, d = 2*q - m - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*u**4\/7 + 1952*u**3\/7 + 216*u**2 + 382*u\/7 + 32\/7.\nAnswer: -2*(u - 16)*(4*u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29362?\nAnswer: 2, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39389, 39392, 39395, 39398?\n\"Answer: 3*h + 39386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101826889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -3255 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*g*z**2 + 1051318*g*z + 2*g + 3*z**2 - 37779959 with respect to z.\nAnswer: -20*g*z + 1051318*g + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/3 + 5687386*o**3\/3 + 9478962*o**2 + 5687370*o - 17062128 = 0 for o.\nAnswer: -2843688, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 10*m = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*z - 5, 4*t - 7*z + 25 = -8*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(4 + (-20)\/6). Suppose -92 - 100 = -k*s. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*s. Let i(p) = p**2 - 2. Let x be i(3). Let t(g) = 2*g**2 - 1582*g - 14396. Let y be t(-9). Solve -b - x = -s*k, -5*b = -k - 5 + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 3 + 2)*(-4 + 5 + 1 - 4*x) in the form m + l*x and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e2 + -d?\nAnswer: 2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 0)*-4)**2*-2*6*4.\nAnswer: -8448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 18890754.\nAnswer: -4\/9445377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1559 and 166113009.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131\/105 - -146\/21. Let n = -364\/45 + v. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 1. Let r(f) = 1001*f - 160. Let m(o) = -r(o) + v(o). Is m(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + 2*z**5 - 2*z**5 + (2*z**3 - z**3 - 2*z**3)*(-2 + 2 + 2*z**2) - 6*z**5 + 34*z**5 + 4*z**5.\nAnswer: 33*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22273659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 + 1003?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d - 16. Let k be p(-4). Let f = 117 + -81. Let s = f - 22. Calculate the greatest common factor of s and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.051 - -0.249. Suppose -4*w + 10 = 5*x, 4*x - 2*w + 3 = 11. Let s be (2\/(-1))\/(7 - 2). Which is the biggest value? (a) i (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106584 and 156.\nAnswer: 1385592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 573*y - 576*y + 32, 97*c - 5*y + 5 = 94*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 190*q**2 + 2105*q + 165.\nAnswer: 5*(q + 11)*(38*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2539983*b**4 - 10836*b - 302 wrt b.\nAnswer: -30479796*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.334 and 259.\nAnswer: 8633.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8091384 and 1.8.\nAnswer: -8091382.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 12 = -102. Calculate the remainder when 195 is divided by 4 - 1 - -19 - h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -390 (c) 1.6 (d) 1 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.022 - -49.022. Let v = -562 - -512.6. Let y = v + m. Put 0.5, -1\/3, 2, y in descending order.\nAnswer: 2, 0.5, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 7*u**2 - 7*u + 2. Let v(n) = n**3 - 3*n**2 - 3*n + 1. Let i = -74 - -49. Let l = 28 + i. Calculate l*j(q) - 7*v(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -15. Suppose -n - j = -4*n. Suppose -n*v - 18 = -96. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.09, -5, 1\/3, 0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77970001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.93 + -0.07. Let d = -45 - -24. Let z = d - -18. Put j, 1\/2, z in increasing order.\nAnswer: j, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -45. Suppose 0 = -3*v - 4*k - 10, 0*v = -v - 4*k - y. Suppose -110 = -v*c - 4*d, 5*c - 305 = -d - 3*d. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 157*g + 4238. Let c be x(-27). Let b(d) be the third derivative of 11*d**6\/120 - d**3\/6 - d**2. Calculate b(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/25 - 8\/(-5). Solve -u = -2*j + s*u - 20, -5*u = -5*j - 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by 40.\nAnswer: 117\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/6 + -5*71\/(-6) is divided by 2\/10 - 118\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 - 17*z**2 - 12*z**2)*(5 - 3 - 4)*(0 - 1 - 1)*(1 + 3 - 3).\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4985 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 3*r**2 - 3*r. Let n be q(-3). Suppose 3*j = 3 - n. Let m(f) = -6*f**3 - 11*f - 11. Let u(s) = -2*s**3 - 4*s - 4. Determine j*u(z) + 4*m(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418957, -419152, -419337, -419506, -419653, -419772, -419857?\nAnswer: -419902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129584 and 1274.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -610000*h**3 + h**2 - h. Suppose 2*n - 5*a - 7 = 0, 5*a = -2*n + 4*a + 1. Let s be y(n). Round s 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 second smallest value? (a) 0.3 (b) -35 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 64*f - 420. Calculate p(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.05906?\nAnswer: 0.17718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (855\/(-2394))\/(40\/(-14))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8864\/3 smaller than 2956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103 + -1066?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -37*j**2 + 18*j - 7. Let h be b(11). Let k = 2476 + h. What is k rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 7*y**2\/2 + 26*y + 2222. Give j(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-2 + 13 - 9) + 16).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9746536 is divided by 3455.\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4474828 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/99 - 35\/(-11). Let w be -1 + o - 18\/(-6). Suppose 389 = w*r + 94. Is r 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 {u: 2, q: 2, o: 1}. Give prob of picking 2 u and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and (-330)\/(-56)*(-6)\/(-9)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-1 - g**2 + 1) - 516*g + 516*g - 73*g**2 + 2*g**2 - 3*g**2 - 2*g + 3*g**2.\nAnswer: -73*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(162) - sqrt(162)*-1) + (sqrt(2) - (sqrt(200) + -4) - sqrt(2)))**2.\nAnswer: -288 - 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/4 - 2*x**3 + x**2\/2 + x - 2. What are the prime factors of n(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -23 - (-75584 - (35 - 23))?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(-4*l + 2*l + 0 + 3) as j*l + m and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -168896 <= -168896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-10) - 4\/10. Suppose -4*p = b*x - 92, -53 = -5*p + 4*x + 98. Find the third derivative of -4*j**5 - 27*j**3 + 3*j**2 + p*j**3 wrt j.\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*284\/6. Let c = 24 + v. Determine q so that 2\/3*q**2 + 0 + c*q = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 45, 60.\nAnswer: -27, 45, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -4*v + 0*v**3 + 1\/2*v**4 + 0*v**2 - 9. Let h(c) = 35*c**2. Determine h(z(a)).\nAnswer: 1260*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. Let m be s*(-1)\/((-1)\/(-1)). Suppose -m*k - 2*z - z = -208, 0 = k + 3*z - 52. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/293, -3\/34?\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 10736\nAnswer: -3\/2684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -48 - (2 - 14) - -2) + -8 + 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsnqfksqnq. Give prob of sequence sfqk.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 49327?\nAnswer: 49327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 726728 to the nearest 10000.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + -7)) + -11 + (-907 - -853).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 6. Suppose 2*o - s = o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = -3*r, 2*r = -8. Suppose -4*b + 6690 = 2*l, -5017 = -h*b - 4*l + 1671. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 1623*x + 14859. What is y(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 116. Let n be i(-20). Sort n, 5, 7.\nAnswer: 5, 7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (-2*((sqrt(180) - 1*sqrt(180)) + sqrt(180)))**2) + 0 - ((sqrt(180) + -1 + -5)**2 + ((1 + sqrt(180) + sqrt(180))*-2)**2))*-6.\nAnswer: 108*sqrt(5) + 22920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) -2\/43 (c) -76 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 + -4 - 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a**3 - 695*a**2 + a - 421.\nAnswer: 72*a - 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 69. Let j(d) be the first derivative of d**2 + 217. Give j(k(c)).\nAnswer: 4*c**2 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7956660 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, p: 7, h: 3, b: 2}. What is prob of picking 1 x and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2078328, 4156663, 6234998, 8313333, 10391668, 12470003?\nAnswer: 14548338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**4 - 3. Let r(k) = 6*k**4 + k**3 - k**2 - k - 5. Let d(c) = -3*r(c) + 5*v(c). Determine s so that d(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(209)*5 - (3*sqrt(209)*1 + sqrt(209)))*5)\/(sqrt(121)\/(3*sqrt(11)) + sqrt(11) + (sqrt(11) - (sqrt(891)*-3 + sqrt(891) + sqrt(891)))).\nAnswer: 45*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 25 = 7. Let c be -12*f\/(-12) + -4. Suppose 13 = -c*x + 9. Put -2, 4, x in ascending order.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 24 = 2*i - 14, 4*i + 54*o + 87 = 2*i - 119 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 13*d**2 + 12*d - 2. Let q be r(12). Let h be q\/((-3)\/((-1197)\/(-6))). Let a = -72 + h. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5615680 + 1785784517\/318. Let l = j - 22\/53. Find the common denominator of ((-2)\/6)\/(11\/39) and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -0.7. Let g = 9 - 9.5. Which is the closest to s? (a) 5 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/(-175))\/(4\/14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)*f)\/f**(-1\/2))**(-4) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from fjdva?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 708050700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 3 = -48 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35\/2 - -2. Calculate the common denominator of 41\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386884 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*712\/(6 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2955 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 180 = -66*q. Solve 0 = -2*z + q - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*y - 205*y + 5*d + 10 = 0, 5*y + 40 = 3*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5 - 169*l**4 + l**3 + 169*l**2 = 0.\nAnswer: -169, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -21. Let q = 0 + 1. Let x = 5 + -4.9. Sort r, x, q in descending order.\nAnswer: q, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062040.\nAnswer: 2, 5, 173, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -2 (c) 2\/7 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 7*l + 18. Let n be u(-9). Let j(p) = n*p - 5 - 4*p + 9*p. Let v be j(1). Solve -x + v*x = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:41 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 225. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, k: 1}. What is prob of sequence okoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**2 - 80*z. Let h be d(-8). Let v = 16.86 + -17. Which is the third smallest value? (a) h (b) 4\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -21\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75008 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 332.062 years?\nAnswer: 3.32062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 309.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.66 + -0.36. Suppose 11 = 4*y - 9. Which is the second biggest value? (a) -2 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w - 24. Let m be x(4). Suppose m*y - 24 = 4*h, -12 - 11 = -4*y + 3*h. Suppose 6*g = y*g + 146. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-15)*(-2715)\/6335*6\/(-135)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/2 - 19\/38. Suppose 6*x = -3*c + 8*x - a, -3*x = 4*c + 34. Let q(f) = -f**2 - 7*f - 10. Determine q(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2053 divided by 696.\nAnswer: -2053\/696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7216 and 19062868.\nAnswer: 76251472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -486 + 540. Suppose r + 24 = 26*z. Sort 26, -5, z, 0 in increasing order.\nAnswer: -5, 0, z, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.03 - 0.69. Let x = 107.28 - b. Let m = -109.000053 + x. What is m rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*b = 7 - 19, b = -4*y - 4. Let d be (1 - y) + (-6 - -54). Let f = d - 18. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30225\/77 - -4288\/11. Find the common denominator of c and -51\/7819.\nAnswer: 7819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 312*j**2 - 2295*j - 3996.\nAnswer: 3*(j - 111)*(j + 3)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwowwowxxwjowox. Give prob of sequence wojo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Let o = 0 + 8. Let s = o + -7.6. What is the third smallest value in s, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16 - (-6 + (3 - -1)). Let v = 53 - x. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 4*c**2 + 6*c - 1. Let y be p(5). Suppose w = -z - 4*w + 15, 9 = y*z + 3*w. Let f(n) = -n + 26. Is f(z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = 0, 3*x = 5*m + 6*x - 140. Let u be (1 + -1)*m\/(-50). Suppose u = -7*s + 2978 + 1705. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1263\/10 - 126. Let u = p - -1\/30. Put 0.4, 4, u in decreasing order.\nAnswer: 4, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506731?\nAnswer: 506731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -1 + 4 + (sqrt(1377) - (sqrt(1377) + 1 + sqrt(1377) + 5)) + -3 + 5)*-4)**2*-5.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f = 113 + 293 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 3*a + 7*a**2 - 3 - a**3 - 4*a + 7. Let f be v(5). Find the first derivative of -f*r - 4 + r + 3*r - 3*r wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvmd when four letters picked without replacement from gvumgwd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/9 in -4, -56, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 201, -0.08, -0.4, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 280\/13860*27\/(-12)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -117, -177, -237, -297?\n\"Answer: -60*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v**2 - 34*v**2 - 27*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5204.9 - -14.7. What is q rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8630 + -6851. Is h bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011000000 (base 2) to base 10\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 4*b**3 - b**3)*(2 - 2 + 3)*(-122*b + 188*b + 52*b).\nAnswer: -708*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2611 (base 12) to base 15.\nAnswer: -143d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87*-38.\nAnswer: -3306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2763316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 4, m: 3}. Give prob of sequence qmh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7 - 2\/7*r**2 - 2\/7*r + 2\/7*r**3 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = 2*t - 16, 0 = t - 4. Solve 0 = k + 3, 4*q = -o*k + 2 - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339538?\nAnswer: 2, 169769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(162)*2 + 2 + -5*(-1 + sqrt(162)) - (-1 + -3*(sqrt(162) + sqrt(162)*-2))))**2.\nAnswer: -13824*sqrt(2) + 94336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*x, u + x - 7 = 6*x. Suppose b + b - 10 = u*r, 5*b + 4*r = -2. Let 2*i - 7*i**3 + 0*i**2 + i**b + 5*i**4 - i**3 = 0. What is i?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 16 + 24 + 176*c + 26 + 3*c.\nAnswer: 179*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162116558?\nAnswer: 2, 23, 3524273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + 10?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qavq when four letters picked without replacement from avqcqvq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8787 - 2*m + 8787 + 4*m - 3*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10114.47 + -1\nAnswer: -10115.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 20*c - 17*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5\/2 - 17*i**4\/4 + 9*i**3 + i**2\/2 - 19*i\/2 + 15\/4 = 0.\nAnswer: -1, 1\/2, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.73 - -23. Let o = y - -0.03. Let c = o - -0.699992. Round c to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 9802.\nAnswer: 6861.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371 by -189434.\nAnswer: 53\/27062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c + 8*c - 16*c - 8*c.\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 1125, 2628, 4885, 7986, 12021?\nAnswer: 17080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*f + 72 = 6*f, -5*f - 43 = -n. Let k be 7\/(n\/(-8)) - 2. Is (-3 - -7)*(-109)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*m**2 + 10 - 119*m + 119*m wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + (-523)\/5. Let q = h - -552. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005835375 rounded to 7 dps?\nAnswer: 0.0005835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 17 - 10)*(-15*h - 2*h + h)*(1 - 2 + 3).\nAnswer: 1920*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 814559.32 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 324517738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 1, f: 1}. Give prob of sequence pbf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minus 0.57261?\nAnswer: 527.42739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*a = 26, -o - 4*o + a = -22. Let h be 35\/4 - (-2)\/8. Suppose h*w - 10 = o*w. Solve 0 = -3*b - w*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2 + 1) + 0. Solve -j + 6 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/13)\/((-22)\/13728*-48).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**2 + 77755*f - 439215 wrt f?\nAnswer: -6*f + 77755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((191\/(-38) - (6 - 11))\/1). Solve -3*w + 175 = b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-2 + sqrt(1539))*2*-3)**2 + 3)*2.\nAnswer: -2592*sqrt(19) + 111102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.23 (b) -4\/7 (c) 2\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j + 1. Let r(t) = -11*t - 3. Let i = -15 - -24. Let q(u) = i*s(u) + 4*r(u). Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a**2 - 6. Let m(x) = -15*x**2 - 7. Let b(g) = -6*m(g) + 7*s(g). Let l(v) = 202*v**2. Determine l(b(p)).\nAnswer: 202*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (300\/(-130))\/(-15) + 30\/(-26). Let f = -160 - -86. Let s = f - -293\/4. Which is the second smallest value? (a) m (b) -9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1147, -1148, -1149?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2)\/sqrt(9) + (sqrt(13) + 1)*2 - (-3*((sqrt(117) - 1*sqrt(117))**2 + sqrt(117) + sqrt(117)) - sqrt(117)).\nAnswer: 2 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {v: 2, f: 5, m: 8}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 324 = 0. Let o = d + -57. Suppose 0*i = 2*i - o. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a48c12 - -5?\nAnswer: -a48c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -63*o**6\/2 - 198*o**5\/5 + 57*o**4\/2 + 24*o**3 - 45*o**2\/2 + 6*o + 39. Determine z so that y(z) = 0.\nAnswer: -1, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-28) - (-26)\/7. Suppose d + 2*g = 28 - 10, 4*d = h*g + 96. Is 0 + -3 + 2 + d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2400 (base 5) to base 13\nAnswer: 20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/2 - (560\/13160 + 51\/(-94)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47838167, 47838165, 47838161, 47838155, 47838147?\nAnswer: 47838137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2596565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6399 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6187884*j**2 + 2*j + 125279211 wrt j?\nAnswer: -12375768*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(2 - (-18)\/(-10)). Let w = -17 - q. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + (sqrt(5) - (sqrt(5) + 0)*4))*-4)**2.\nAnswer: -3456*sqrt(5) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5589399220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*7 + (0 - 2). Let s = t - 2. Solve -w - 4 = -s*b, 6*b - b - 7 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/50 + 13*p**4\/60 + 2*p**3\/3 - 18*p**2. Solve i(v) = 0.\nAnswer: -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11560 (base 7) in base 9?\nAnswer: -4137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:32 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 93486*v**2 + 93512*v + 1121856.\nAnswer: -2*(v - 4)*(v + 3)*(v + 46744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12312)\/532)\/((-2)\/10 + 1\/((-560)\/(-432)))?\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39603384 divided by -550047\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5822792786?\nAnswer: 2, 37, 71, 1108259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + w - f = 20, f - 83 = -2*w - 91 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 26*v + 451. Let m(b) = -6*b - 113. Let o(a) = 9*m(a) + 2*s(a). Let k(h) = -2*h**2. What is k(o(r))?\nAnswer: -8*r**2 - 920*r - 26450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2\/4 + 85*x\/4 - 75 = 0.\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/13 + 674*c**3\/13 + 2672*c**2\/13 + 2664*c\/13 = 0. Calculate c.\nAnswer: -333, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 36 = 7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(147) - (-2 + (sqrt(147) - -4*sqrt(147))))*2.\nAnswer: -56*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 101. Let a be w(34). Sort 7, 3, -1\/9, a in increasing order.\nAnswer: a, -1\/9, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-396)\/(-112) - (-8)\/28. Which is the closest to -2? (a) 0.4 (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -106dc0 - -1?\nAnswer: -106dbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 7*f + 5*p, 5*f = 2263*p - 2220*p - 458 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k*k**3*k))\/k)*k))\/(k*(k\/(k\/(k*k*k*k**(2\/3)\/k*k*k)))\/k))**25*(k**(-4)*k**1)\/((k**(-6)*k)\/((k*k**1*k*k*k)\/k)) assuming k is positive.\nAnswer: k**(-782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 - 5 = 0. Let t = 29 + -58. Let s = -29 - t. Sort 1, s, b.\nAnswer: s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*k - 20242 = -68801 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:18 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24757679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) 13 (b) 118 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = -d. Does 27 divide 2 + d\/5 + (164 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -1\/6*q**4 + 0*q**3 - 6*q + 0 - 1\/6*q**6 + 0*q**5 + 0*q**2. Find the third derivative of h(v) wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -2\/3, 3.\nAnswer: -2\/3, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:11 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 210342, 210345, 210350, 210357, 210366, 210377, 210390?\n\"Answer: v**2 + 210341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbbbbbbxbbxbxbxbbb. What is prob of picking 3 x?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23995259, -23995264, -23995269, -23995274, -23995279, -23995284?\n\"Answer: -5*v - 23995254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 610554276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/4*33706\/(-95) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4 + 443*a**3 - a**2 - 9*a - 215?\nAnswer: 48*a + 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 570\/1995*84\/54.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:10 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/25)*u)\/u*u)\/((u\/(u*u\/(u\/(u*u**(2\/11)))*u))\/u)*(u*u\/(u\/(((u\/u**(-2\/13))\/u*u)\/u)*u))\/(u\/(u\/((u**6*u)\/u))) assuming u is positive.\nAnswer: u**(-6236\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17*h**3 - 5*h**2 - 6*h + 4. Let p(n) = 26*n**3 - 8*n**2 - 9*n + 6. What is -5*p(q) + 8*r(q)?\nAnswer: 6*q**3 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, 1\/6, -0.5, 11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -8\/27*s**3 - 1 - 1\/18*s**4 + 0*s - 4\/9*s**2. Let a(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -92*a + 98*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10100 - 2?\nAnswer: 10043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) 2\/6811 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 36 = 3*g + 16 - 16, -2*n - 4*g = -18 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 4107, 0.4.\nAnswer: 0.4, 1, 5, 4107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 + 25\/10. Suppose -5*i = -d*f - 2 + 4, -f + 1 = 3*i. Calculate the remainder when (f + -2)*-10 + -3 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1 - 3*o - 3 - 5*o + 3. What are the prime factors of x(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 12, -4*l - 4*q = -84. Let w be 390\/(-104) - (l\/8)\/(-3). Let r(g) = -g - 8. Let p be r(-6). Sort p, w, 2.\nAnswer: w, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -142987292.\nAnswer: 1\/142987292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbbnqqbxgbbbx. Give prob of picking 1 g and 2 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 11 = -5*i. Let q = 10 - 21. Let n = q + i. Which is bigger: n or 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let p be v\/(-2*2\/(-1304)). What is the tens digit of (-4)\/14 + p\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552196 is divided by 2152?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4022 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10917 times -282?\nAnswer: 3078594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 567 - -763. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)\/(k**(-12)\/k)*(k*k*k\/(k*k**(-2\/5)))\/k**(5\/3))**17 assuming k is positive.\nAnswer: k**(6919\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = -5*h + 62, -47 = -4*h + 3*k. Let q = 21 - 16. What is the first derivative of -h*z + 3 + q*z + 3*z - 4*z**4 wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(720) + -1)**2 - sqrt(720)).\nAnswer: -216*sqrt(5) + 4326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.304 and 0.38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.008 + 4.008. Let x = p - 2. Let y = 5\/34 - 79\/306. Which is the closest to 0? (a) 1 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062151398 rounded to six dps?\nAnswer: -0.000622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2855191.7.\nAnswer: 285519.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 13155 = -28*m. Let n = m - -8386. Is n 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 3:57 PM and 2:59 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 12587?\nAnswer: 12587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 595650.\nAnswer: 2382600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a50 + -aba?\nAnswer: -594a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 5*j + 2*m - 83, -2*j = -2*m - 94. Let i = j + -55. Let o(k) = 2*k + 26. Calculate o(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61800*x**2 - 16*x + 1789055.\nAnswer: 123600*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 20 = -y - 35, 0 = 4*y - 5*z - 39 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 9, -5, -1.\nAnswer: -10, -5, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z - z)*(-1 + 1 + z) + 5*z**3 + 2*z**3 - 4*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 15353*n + 260751. Determine b(-17).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5311770 rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:01 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/((-8)\/(-30))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-5 + 1 + -13 - -5) + 7 + -110?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8013431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 2*z + z**3 + 4 - 2*z**2 + z**3 - z**3. Let r be n(3). Let k be r - 0 - 10\/(-5). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 + 2*r - 7. Suppose 5*g = 2*g + 6. Suppose 0 = 4*z - 4*h - 20 + 72, -g*z - 3*h - 6 = 0. What is the tens digit of o(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18641, -18635, -18619, -18587, -18533, -18451?\nAnswer: -18335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2645.90405 to the nearest ten.\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o. Let g(q) = -2*q**2 - 14*q + 14*q. Calculate g(y(z)).\nAnswer: -512*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.166404ms in microseconds?\nAnswer: 5166.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/60 - y**4\/3 - 7*y**3\/6 + 24*y**2. Suppose 0 = 2*p - h + 19, p + 5*h - 11 = -p. Calculate f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 0*i**2 + 0*i**2 + 2 + i**2 + 2 - 3*i. Give q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -289 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/90 and 42\/11?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2558 is divided by 818?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-1)\/(-3)). Let p(w) = 4 + u*w**2 - 3*w**2 - 12*w - 2 + 10. Is 18 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 + 5 = 0. Let w be u*3\/48*4. Is -2\/49 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttetettttttttttttt. What is prob of picking 3 t?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 185*m**5\/2 - 1290*m**4 + 1040*m**3 + 1355*m**2 - 2265*m\/2 - 65 = 0.\nAnswer: -1, -2\/37, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110178436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971835051?\nAnswer: 1971835051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 7 - 93 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*o - 27*o - 2 - 1 + 5 + 1.\nAnswer: 155*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2, x: 1, e: 1, b: 1, k: 1}. What is prob of picking 1 e and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/231 + 1504\/(-1320))*(-20)\/3. Suppose 3*c = -0*c + 306. Suppose 0 = l*q + c + 210. Is q smaller than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 3*s = -30, -51370*s + 13 = 5*x - 51369*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 12*g + 1317. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 553\/3 - 184. Which is the third biggest value? (a) 0.1 (b) x (c) -0.4 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 2444?\nAnswer: 46436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -23. Let a = -9.7 - v. What is the third smallest value in 2\/7, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 - 2*i - 2. Let n be (-7 - (-175)\/10)*4\/6. What is o(n)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26841)\/(-483) - 6\/(-14). Let t be 1554\/g - (-9)\/(-12). Calculate the highest common divisor of 459 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261312.877 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -12*y**2 - 4\/3*y**3 - 82 + 7\/2*y**4 + 0*y**5 + 16*y - 1\/3*y**6. Suppose x(j) = 0. What is j?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 4, x: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p**2 + 5*p + 7. Let k be t(6). Let n be -10*((-27)\/(-15) + -2). Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - -3 - (-61 - -67)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 863\/15629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 396 - 395.9784. Let d = l - -0.1784. Let u be (0 + 3)*(-4)\/6. Sort d, 15, u in descending order.\nAnswer: 15, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 + 7*z + 6. Let v be t(-1). What is the greatest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2178 - 2173. What is the fourth biggest value in 82, 0.2, i, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332026.48 rounded to the nearest ten thousand?\nAnswer: 3330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Let k be 2\/((-1)\/((-4)\/(32\/20))). Sort 0, k, f in descending order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 30. Let p be v(7). Sort 4, 133, p.\nAnswer: p, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22722 and 5.\nAnswer: 113610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225691 is divided by 22568.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, -5, -4, -51 in decreasing order.\nAnswer: -1\/2, -3, -4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 66. Let y(q) = -1 - 11*q**3 + 21*q**w - 7 - 8*q. Let g(j) = -j**2 + j - 8. Let o be g(0). Let v(x) = x**3 - x - 1. What is o*v(k) + y(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*2 + (0 - 1). Suppose 3*g - 6 = d. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62\/7 - 551\/63. Let w = -0.22 - 0.08. Which is the smallest value? (a) s (b) w (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -0.2, -489\/76?\nAnswer: -489\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91 - 80) + (-108 + 10 - (-9 + 0)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-28))\/(((-1)\/2)\/((-266)\/(-76)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let a(v) = v + 2. Let c be a(o). Solve -6 - 4 = c*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let r = 2 - 7. Let k(b) = -b**2 - 4*b. Let d be k(r). Sort d, 3, a in decreasing order.\nAnswer: 3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.78 + 0.22. Let o = d - 26.4. Let t = o - 0.6. Which is the second biggest value? (a) 2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.700725 centuries in millennia?\nAnswer: 0.0700725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -238\/2857833?\nAnswer: -238\/2857833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-188)\/28 + 7 - 4378\/(-14)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28380 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 16. Suppose -2116 - 1187 = 3*i. Calculate the common denominator of 4\/m - i\/(-54) and 39\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244520744?\nAnswer: 2, 13, 827, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323 (base 5) in base 3?\nAnswer: 110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.11 + -12.11. Sort -7, c, 5, -0.2.\nAnswer: -7, c, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 544, 539, 532, 523?\n\"Answer: -w**2 - 2*w + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -2*p - 2*p. Let a = p + 126. Solve a*m = 13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.1 (b) -3\/7 (c) -0.24 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460325283 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*t + 66 - 111, 0 = -10*y - t - 55. What is the second biggest value in 2\/15, y, -278?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508 divided by -254\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 66 = -3*g - 12, 0 = -5*z + g + 169. Let l be -2*-2*9\/12. What is the highest common factor of z and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 11. Let k be 0*(2 + -4 - -1). Calculate i(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 586, 1245, 1882, 2497, 3090, 3661, 4210?\nAnswer: 4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*m - 195*m - 24 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 13. Let n(g) = -14*g - 40. Let w = -356 - -350. Let i(u) = w*n(u) + 17*c(u). What is i(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-18) + 4 + (-4)\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (2 + 2)\/2. Let o = -3 + y. Calculate the remainder when 20 is divided by (o + 0)\/(7\/77).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042941698 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -81. Suppose 24 = -3*m - m. Let k(n) = -5*n - 5*n + 7 + 9*n. Let i(p) = p - 6. What is m*i(v) + r*k(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3470244 + 10?\nAnswer: 3470254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8772409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/17534 and 73\/88?\nAnswer: 70136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 97 - 9 - 276*r.\nAnswer: -276*r - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1 - (-8 + (9 - 13))) + 10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:33 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23274 and 3134511?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 15. Let n be r(-10). Solve -4*z + 31 = -0*h + 3*h, 25 = h + n*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -4.\nAnswer: -12, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*(-30)\/60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-50)\/(-35))\/((-1)\/(-7)). Suppose 3*v - 16 = 2*v - 2*j, -5*j + 20 = 0. Let t be (w\/v)\/((-1)\/(-4)). Solve t*z - 12 + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4550 and 134.\nAnswer: 304850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let r = -0.1 + h. What is the second smallest value in -1, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 89, 0, -17, 5 in descending order.\nAnswer: 97, 89, 5, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = g - 0*l + 2, -2*g = 4*l. What is the units digit of (5 - g) + 4\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + n + 5*n - 3*n - 2*n**3 as j + d*n**3 + v*n + c*n**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18445*d - 18445*d + 16391*d**2.\nAnswer: 16391*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191420 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/2))\/g)\/g*g)**(-3\/32)\/(((g*g*g**(-1\/8)*g)\/g)\/g**(1\/4)))**(-4\/35) assuming g is positive.\nAnswer: g**(101\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 9*c**2 + 12*c - 16. Suppose -5*z + 46 = 4*d, -29 = -5*z + 2*z - d. Calculate the remainder when t(z) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4313.216 to zero decimal places.\nAnswer: -4313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17.2933l?\nAnswer: 17293.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.09606 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 11*b**2 + 12*b + 20. Let q be k(-10). Solve -2 = 2*h - q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/23)*i**(17\/3)*i*(i\/(i\/(i**(30\/13)*i)))\/i**(-1\/3) assuming i is positive.\nAnswer: i**(3108\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31355*v**3 + 41256?\nAnswer: -94065*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-4 + 2) - -3. Let h(k) = 0*k**3 + i*k + k**3 - 3*k - 6*k**2. Let y = 140 - 134. Give h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53708, -214893, -483536, -859637, -1343196, -1934213, -2632688?\n\"Answer: -53729*x**2 + 2*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 830, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - 618.8?\nAnswer: -618.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 2*w**6\/45 - w**5\/60 - w**4\/3 + 11*w**3\/18 - w**2\/3 - 24*w. Factor y(f).\nAnswer: (f - 1)**2*(f + 2)*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millisecond in microseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572820, -572957, -573094?\nAnswer: -573231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvsjgmd. Give prob of sequence gj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6162 + 10914. What is the highest common factor of 352 and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(33)\/sqrt(27) - (-1 + sqrt(1584) + -4 - -5*(sqrt(1584) + 0))**2.\nAnswer: -57047 + 721*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3168 and 8712?\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 7 (c) -2\/5 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 1 g when three letters picked without replacement from vvvgvgvzi?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -4*m - 3*r, -20 = -2*m + 3*m - 5*r. Suppose -45*c + 836 + 694 = 0. Let g = c + m. Sort -5, 1, -2, g in decreasing order.\nAnswer: g, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9552234 - -156.\nAnswer: -9552078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34833 divided by 16\nAnswer: -34833\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/33 and 50\/13341.\nAnswer: 146751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 - 25 = -d, 3*s - 4*d - 36 = 0. Suppose -s*k = -82 + 34. Suppose 3*h - 30600000 = k*h. Round h to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2447, 4895, 7343, 9791?\nAnswer: 12239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*w + 3. What is the biggest value in -2, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 10*m**2 - 3*m + 5. Let j be a(-10). Suppose -17 = -t + j. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18694 by -9347.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109*h - 1125*h = 928. Is h not equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3619 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -35a?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 3*k - 21, x + 4*k + 16 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1663560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(1026\/(-912))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 960522995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 31. Let h(v) = v**3 + 3*v**2 - 4*v + 1. Let u be h(-4). Let d = u + r. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 3}. Give prob of picking 3 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-99))\/((-7540)\/(-2860)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {q: 3, b: 2, h: 2, k: 1, a: 7, o: 5}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*i + 66232, b - 3*i + 7*i - 33111 = 0. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**2*u**2 - 11*f**2 - 1229*f*u**2 + f*u wrt f.\nAnswer: -6*u**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7 (base 15) in base 14?\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8104\/(-352) + 23)\/(2\/8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 12 - 3. Suppose 5*n = -h + 15, 5*n - 4*h + f = 43. Let l = 136 - 135.5. What is the biggest value in l, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*z - 3*q - 65, z = -2*q + 7. Let w = 86 - z. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8.04. Let h = w + -0.06. Let q = 4.95114 + 0.04886. Which is the nearest to -2\/3? (a) h (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x**(-4\/9)\/x)**1 assuming x is positive.\nAnswer: x**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 44*y**2 - 16*y - 6. Let d be g(7). Suppose -6*k = -d - 2168. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ab4 (base 16) to base 15.\nAnswer: -6d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 920, -131, -163 in increasing order.\nAnswer: -163, -131, -5, 920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1077156?\nAnswer: -1077158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*n + 15 = -0*n, 0 = -3*v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 25645216?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120345773?\nAnswer: 120345773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 13. Let o be (3 - 0)*-3 - -2. What is the units digit of k(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 52. Let i be ((-6)\/b)\/((-24)\/70). Let a = 1\/3 - i. What is the nearest to -1 in -0.4, a, -1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 28*t**2 - 220*t + 913. What is u(19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 15*r**2 + 5*r + r - 27*r**2.\nAnswer: -36*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42428 from 69.\nAnswer: 42497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.77 + 0.23. Let a = d + -7. Let n = 31\/441 + 2\/49. What is the biggest value in n, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8 - (-2)\/(-4). Let u(s) = 0 + 0*s - k + 4*s. Suppose -4*i + 9 - 1 = 0. Calculate u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k**3 - 2*k**2 - 6*k + 1. Let g(m) = -13*m**3 - 2*m**2 - 5*m + 1. Let i(p) = -5*g(p) + 4*z(p). Suppose 3*o = 321 - 312. Is i(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3562 - 138 + 409)*(-2 + 2 - 2*l**2).\nAnswer: -7666*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*z = -0*y + 9, 4*y = -z + 18. Suppose q = y*q. Solve 2*u - 4*u + 3*m = 14, q = -2*u - 4*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -620 or -160?\nAnswer: -620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569933?\nAnswer: 157, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 - 17*p**2 + 2*p**3 + 37*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -0.04 (c) 0.1 (d) -4 (e) 2\/14211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.022 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 46*v + 2 - 26*v + v**3 - 23*v. Give y(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 - 13*t**5)*(-12 - 12 - 3)*(8 + 0 - 1).\nAnswer: 2457*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*q - 145, -1 - 1 = -2*q. What is the greatest common factor of z and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from {n: 1, p: 6, t: 3, v: 6, z: 2, k: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3145*s - 20496 = -176*s + 447*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, g: 2, r: 6, o: 10}. What is prob of picking 1 b and 1 o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -38948.9 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 + 3465*b - 545710 = 0.\nAnswer: 242, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55b05 + -165?\nAnswer: 55970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(420)*-4)\/sqrt(12)*5)\/(6*sqrt(2268)))**2.\nAnswer: 2000\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298 = -3*w - 5*z - 75, -847 = -2*w + 3*z. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b - 6 + 4*b**3 - 3*b**2 - 3*b**3 + 15*b**2. Let o be i(-9). Suppose -5*u = -u - o. What is the greatest common divisor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*l + 4*l**3 - 90*l - 304*l + 444 - 6*l**3 - l**4 + 0*l**4 wrt l.\nAnswer: -4*l**3 - 6*l**2 - 427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5186011 * 3\nAnswer: 15558033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -2, 108, 0 in increasing order.\nAnswer: -2, 0, 3, 9, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1300 by -260.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(50*(-19)\/29450)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-459)\/510*-2*2\/18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 37 = 5*y, 11 = y + 3*y - 3*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 5*y + 17, -3*w - 1 = -y. Let v be ((-33)\/6 - -3)*w. Factor -10 - 8*m - 5*m + 7*m - v*m**2 - 9*m.\nAnswer: -5*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h - 9. Suppose 3*u - 5*r + 12 = 0, 8 + 1 = 3*r. Let p be (0*u*4\/(-12))\/1. Calculate b(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/4)\/h**(-3))\/(((h\/h**(-2\/7))\/h*h)\/(h**(-3\/5)*h)))**(-2\/177) assuming h is positive.\nAnswer: h**(-157\/4130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 18 = -7*v. Solve 2*a = 4*s + 8, 0*s - v = -4*a + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**2 + 8*i**2 + 68*i**2.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -20.241, 2\/21?\nAnswer: -20.241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876749, 876743, 876735, 876725, 876713?\nAnswer: 876699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/10)\/(10\/(-25)). Let h = o + -2. Let v be (11\/4 - 3)*h. Solve 4*m = -5*f - 29, -3*m - m = -f - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600735.4 kilometers to meters.\nAnswer: 600735400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express i - i**4 - 17*i**2 - 1 + 2 + 12*i**2 + 2*i**3 - 4 as c*i**4 + z*i + q*i**2 + s + u*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, -424114, -0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -15125 + 298*p - 5*p**2 + 2*p + 250*p = 0.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, -21, -42, -63?\n\"Answer: -21*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1\/2)\/t)\/t))**(-1\/22)\/(t**(1\/3)*t)**(1\/6))**(-9\/2) assuming t is positive.\nAnswer: t**(133\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*q + 6, -5*q + 2*q = 5*n + 35. Let v be (35\/(-4))\/q*-4. Let m be -1 - 0 - v\/6. Which is the third biggest value? (a) -3 (b) m (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 84 = -22*z. Suppose -2699 - 1522 = -z*i. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.3, 0, 1.40826 in ascending order.\nAnswer: 0, 1.40826, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -g + 139, -3*g - 2*g + 5*s + 725 = 0. Suppose -g = -5*l - 3*n, -3*n - 4 = -3*l + 68. What is the highest common divisor of l and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000100010010110 + -10111101?\nAnswer: -111000100101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = t + 4, 13 = 3*t + 3*i - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 1, g: 7, r: 6, w: 2}. Give prob of picking 1 w and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 5*a - 20 = 3*n, 6*a + 8 = -319*n + 8*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6987, -13960, -20955, -27978, -35035, -42132, -49275, -56470?\n\"Answer: -h**3 - 5*h**2 - 6951*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 - x - 8. Let a be g(-7). Suppose 0 = -8*b + 10*b + 254. Let d = b + a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 110. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10553?\nAnswer: 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 95 - -2a69?\nAnswer: 2b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 - 0.03. Let z = -221 + 220.6. What is the third smallest value in z, x, -26?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499*k = -551*k + 8008. Calculate the remainder when 763 is divided by k.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**4\/24 + i**3\/6 - i**2. Determine c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7997660 and 506.\nAnswer: 183946180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71\/108 + 5\/54. Which is the third smallest value? (a) -1\/4 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 (base 9) in base 16?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 1 = o - 9*g, o + 2*g = 0. Suppose -2*z - 18 = -o*w, -w = -2*z - 5 - 3. Solve 3*f + 0 = -p + w, -6 = -5*p - 4*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = 52*i + 15687. Let r = i - -3417. Is r a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.154 + 42.154. Let q(r) = r**3 + 5*r**2 + 5*r + 1. Let o be q(-4). Put 3, 2, o, b in descending order.\nAnswer: b, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20411*j**2*u**4 + 4*j**2*u**3 + 2*j**2*u**2 - 5*j**2*u - 1913*j*u**2 + 5 wrt u?\nAnswer: 489864*j**2*u + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -22*y - 773. Suppose -z = 5*l - y, z + 3*z = -l + 3016. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996001.\nAnswer: 7, 313, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u + 72 + 2*u**3 - 3*u**2 - 3*u**3 - 9*u**2 - 58. Let r be p(-11). Solve 5*l - 10 = r*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6\/(k**(2\/3)\/k))\/(k**(3\/5)*(k**5\/k)\/k))\/(k*k*k\/((k**11\/k)\/k)*k*k**(1\/6)*k*k)**(4\/11) assuming k is positive.\nAnswer: k**(207\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q. Suppose 5*l - 1 = -3*b, -l - 3*b + 8*b - 11 = 0. Let s be (0 + -8 + 2)*(-2 - l). Let a(y) = -3*y. Determine s*n(v) - 5*a(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1181180, 1181187, 1181194, 1181201?\n\"Answer: 7*j + 1181173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 + 15*j**3 - 56*j**3.\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t. Let v(u) = 3*u**2 + 5*u. Calculate i(v(b)).\nAnswer: 15*b**2 + 25*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 8 - 2 - t**2 + 38*t**3 - 7 in the form s*t + i*t**3 + k + r*t**2 and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16780400 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*w**5 + 2*w**4 - w**3 - 114*w**2 + 718659*w.\nAnswer: 840*w**3 + 24*w**2 - 6*w - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let z = v - 0.8. Let j = -2 - -7. Sort j, z, -0.3.\nAnswer: -0.3, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 37.2 (c) 5 (d) -0.1 (e) 4 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 327418 and 408954.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 4 (b) 5\/2 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(5*sqrt(7920) - sqrt(7920)))\/(sqrt(11) + -6*sqrt(44) + sqrt(11) + (-2*sqrt(11)*-1 - sqrt(11))))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 0 (c) 14 (d) 282 (e) -3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 746?\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from {h: 1, p: 1, t: 2, e: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -23) + (-32 - -23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/20 + (-51)\/(-108) + 1. What is the closest to -3 in 0.5, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 5*c**3 - 4*c**3)*(c**2 - 5*c + 5*c) + c**5 - 3*c + 3*c + 10*c**2 + 28*c**5 - 10*c**2.\nAnswer: 27*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1189 = 4*y - 1249, y - 597 = -5*d. What are the prime factors of y?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -180*o + 25*o + 361*o + (-5*o + 2*o + 4*o)*(2 + 0 + 0) + (2 - 2 - 2*o)*(-4 - 2 + 3).\nAnswer: 214*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42888 + -42777. Let w(z) = -111*z**3 - z**2 - 2*z - 1. Let x be w(-1). Calculate the greatest common factor of x and h.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, -1\/6, -22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)*12\/8. Suppose u*l + 5*a - 6 = 23, -4 = -4*l + 2*a. Suppose 0 = 4*v + 2386 - 2394. Solve -4*n + l*w + 23 = 0, 3*n + 4*w + 10 = -v*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {j: 5, u: 4, g: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/2 - 470079*g**3\/2 - 940161*g**2\/2 - 470081*g\/2 = 0.\nAnswer: -1, 0, 470081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Solve d = 2*p, 0 = -4*g + 2*p + 3*p + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 0)*(-3 - 1 + 2)*(3*j + 1 - 1) + 3 - 3 + j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451415 (base 6) to base 8.\nAnswer: 112103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*d**2*i*k - 6*d*k + 2*i*k - 22*i wrt d.\nAnswer: -262*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + d + 18, -5*s - 5*d + 80 - 30 = 0. Let p be (-2 + 4 - -7)*1. Suppose -p = l + 4*n, 2*n = 3*l - 3*n - s. Put 20, l, 4 in descending order.\nAnswer: 20, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o + 0 + 0*o**2 + 1\/2*o**3. Let m(h) = 5*h - 4*h + 0*h - 4*h. Give m(a(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 2*j - 21. Let o = -10908 + 10908. What is k(o)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/4 + m. Let i(n) = 39*n**2 + 13*n. Let g(o) = -19*o**2 - 7*o. Let v(j) = 37*g(j) + 18*i(j). Determine v(q(l)).\nAnswer: -9*l**4 + 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -0.1, -2 in descending order.\nAnswer: 2, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -28. Suppose d = 5*c, 4*n - 2*c + 5*c - 408 = 0. What is the highest common factor of n and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 214 - -48. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7493 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38625 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k - 7. Calculate the highest common factor of 2 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*j + a + 4, 4*j + 4*a = 36. Suppose 3*t = -4*z + 178, -4*t = -3*z + j*z - 130. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from xxknxmtxn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5733, -52, -2 in decreasing order.\nAnswer: -2, -52, -5733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - (20 - 11 - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2198*g**3 + g**2 + 5*g + 4. Let q be x(-1). Let o = -215 - -464. Let n = q - o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1553 + -1553. Solve 3*k + 2*x = -q*x + 9, 25 = 2*k - 5*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40017 + 58332. Is 111 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b + 3. Let h(m) = m**2 + 3*m + 2. Suppose 0 = 11*c - 10*c + 6. Let q(n) = c*h(n) + 5*o(n). What is q(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 2*o)*(-89*o**3 - 119*o**3 + 171*o**3).\nAnswer: 37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - (2*sqrt(252) + sqrt(252))))\/sqrt(4))**2 + sqrt(84)\/(sqrt(36)\/sqrt(3)) + -5.\nAnswer: sqrt(7) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1682\/(-841))\/(42\/2)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 25*h**2 + 17*h - 9. Let y be w(-13). Let f = y - -3930. Suppose 0 = 8*o - 19*o + f. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5243 and 3?\nAnswer: -15729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5846 + 5846 - 30*j**2)*(-88*j + 6002 - 6002).\nAnswer: 2640*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 161220 divided by -503\nAnswer: -161220\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let x = z - 2.6. Which is the closest to -1? (a) 0.1 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2053\/28163 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) - 15\/22. Is p greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1366, 1428, 1486, 1534, 1566, 1576?\n\"Answer: -m**3 + 4*m**2 + 57*m + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 5*y**4 - 20 - 12*y**4 - 9 wrt y.\nAnswer: -68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 28*k**2 - 815*k - 7461. Give z(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16275 = -m - 3*a, 0 = 999*m - 1001*m + 5*a + 32550. Calculate the highest common factor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 3*j + 4. Let t be m(-3). Suppose -4*u + 0*d + d + 94 = 0, t*u - 3*d = 90. What is the highest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvnvvvvvvvv. What is prob of sequence vvn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3067 * -0.4.\nAnswer: -0.12268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 144, -5, 5 in descending order.\nAnswer: 144, 54, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -172 (c) 2\/9 (d) -27.47 (e) -1\/5 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6201 and 145\/12.\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-8) - 9\/(-2). Let t be (i\/(-6))\/(7\/6). Which is the nearest to 4? (a) t (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8857, 8780, 8773, 8842, 8993, 9232, 9565, 9998?\n\"Answer: d**3 + 29*d**2 - 171*d + 8998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -87, 160, 17.\nAnswer: -87, 1, 17, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-90)\/120*-15*2074\/(-255)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78263 is divided by 414?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 7*o - 1233 = -3*q, 4*o = -5*q + 2023. Let k = q + -242. Calculate the remainder when k is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 2}. What is prob of sequence ccf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68, -101, -160, -257, -404, -613?\n\"Answer: -2*y**3 - y**2 - 16*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2278963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + -1. What is the units digit of (-1)\/(-4) + (-81)\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193 * 151\nAnswer: -29143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 + 4*c + 1. Let o be z(5). Suppose 3 + 9 = f. Let k = f + o. Calculate the lowest common multiple of k and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 11*i + 54 = 0. Let l be 16\/3 - i\/27. Solve -2*k - l = 2*k - 2*n, 0 = 3*k - 2*n + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1. Let s(u) = -3*u**2 - 15. Let v(l) = s(l) + 15*z(l). Let o(n) be the second derivative of -n**4\/3 - 47*n - 2. Determine o(v(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**3 + 25*x**2 - 25*x**2 + 19*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2958 and 18854635395.\nAnswer: 18854632437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1755750*r**2 - 132062*r + 37.\nAnswer: 3511500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-2))\/(2\/12). Suppose 3*y - k = -0. Does 6 divide 1\/(10\/y + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -552, -2180, -4890, -8676, -13532, -19452, -26430, -34460?\n\"Answer: b**3 - 547*b**2 + 6*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -0.16\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6013987, -6013989, -6013991, -6013993, -6013995, -6013997?\nAnswer: -6013999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -36*a**3 - 60*a**2. Let r = 146 - 149. Let o(v) = 35*v**3 + 61*v**2. Let w(i) = r*o(i) - 4*c(i). What is the third derivative of w(b) wrt b?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.5852 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2 + 2)) + -3. Let o be -2*j\/(-112)*-3011. Let k = o - 863\/7. Find the common denominator of k and 87\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 5) to base 12.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 - 26 = 0. Suppose 7 - 19 = -k*g. Suppose -j = -4*f - 0*f - 1, j - 1 = -g*f. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 41. Which is the third biggest value? (a) 1\/6 (b) 0.5 (c) t (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uggtgtututuguttitg?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -93*f + 49. Let c be u(-7). Suppose 1404 = 4*q - c. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 619069*f - 24762755. Give s(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 68782 (b) -0.4 (c) -0.3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -25*f**2. Let c(z) = 2 - 3 + 2838861*z - 2838187*z + 1. Give j(c(q)).\nAnswer: -11356900*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2afc56 (base 16) in base 14?\nAnswer: 534902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59074400 divided by -14768600?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/44875696 and 7\/128.\nAnswer: 359005568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h, 40 = 4*n + 5*h - 3*h. Let u(j) = 5*j**2 - 24*j + 3. What is the units digit of u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 1266901.\nAnswer: 25\/1266901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -1\/4, -5 in decreasing order.\nAnswer: 2, 0.1, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*f**3 - 33*f**2?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -202855.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 + 7*a - 3. Let t be k(6). Suppose 5*u - 4*u - t = 0. What is the greatest common factor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - j - 23 + 5 = 0, -5*j + 30 = 4*n. Let z be ((-18)\/(-4))\/(5\/50). Calculate the greatest common factor of z and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = q + 14, -3*n - 2*n = -20. Let u be 3 - (5 + q + -12). Let l = 0 - -0.3. Put u, -5, l, -2\/5 in increasing order.\nAnswer: -5, -2\/5, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (27 + -2 + -15 + 1 - 15)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*l - 22. Suppose 5*m + 16 = 2*p, p + m + l = -p. Let r(c) be the first derivative of -c**4\/4 - c**3\/3 - 2*c + 4. Determine r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -305.478 + 305. Let l = 0.068 + k. Sort l, 3, -0.4, 5 in increasing order.\nAnswer: l, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66\/7 - 608\/63. What is the smallest value in -3\/5, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.00919 and -41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*o**3 - 127*o**3 + 249*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779086 divided by 6?\nAnswer: -463181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = -25*m. Is -3 - m - (-12)\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 4. Let x(m) = 1. Let g be 16 - 8 - (-14)\/(-2). Give g*c(y) - 6*x(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qncg when four letters picked without replacement from {g: 2, c: 1, q: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}