diff --git "a/data/dm_maths/full_data_2/10249_11255.jsonl" "b/data/dm_maths/full_data_2/10249_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10249_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the common denominator of 47\/4089468 and -77\/6815780.\nAnswer: 20447340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6891.807ml?\nAnswer: 6.891807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 27 - 131 = -4*l, 5*l + 4*s = 130. Let v = 172 - -10. What is the highest common divisor of l and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-2\/9)*m)*m**(-1\/7))\/((m**(-2\/27)*m)\/m**15))**(-15\/4) assuming m is positive.\nAnswer: m**(-11065\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2205875 and 597477.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 195*n + 15 + 2*n**2 - 595*n + 197*n + 201*n to p + a*n**2 + b*n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 5*b + 17. Calculate w(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2259514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88 or 1134\/13?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10977, -10973, -10967, -10959, -10949, -10937, -10923?\nAnswer: -10907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 6740232.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 351*x + 499*x = 34*x + 12688 + 1184 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 17 + 1)*((-r + 4*r - r)*(0 - 2*r**2 + 0) + 7*r**3 + 14*r**3 - 7*r**3) to the form x + z*r + h*r**3 + d*r**2 and give h.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 83146?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 830773 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -662 + 664.99. Let g = d + 0.01. Sort -3, g, 1\/4, -3\/5 in decreasing order.\nAnswer: g, 1\/4, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvivvvmggnm. Give prob of sequence mmim.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**(-8\/9)\/r)\/(r*r**(-2\/7)*r*r*r**7\/r*r*r*r) assuming r is positive.\nAnswer: r**(-920\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/15)*s*(s*s*s\/(((s**(4\/25)\/s)\/s)\/s))\/s assuming s is positive.\nAnswer: s**(433\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 10 = -29*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -1. Let k(x) = -4*x - 1. Let c be k(-1). Suppose 2*d + t + c*t = -6, -t = 4*d - 16. What is the least common multiple of h and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - -72. Suppose 17*r - 21*r = -d. 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: Let m(j) = 14*j**2. Let v(n) be the third derivative of -7*n**5\/30 + 250*n**2 + 2. Determine v(m(s)).\nAnswer: -2744*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 536226493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3391 - 13499\/4. Let k = 79\/4 - x. Suppose -k*m + 5\/2*m**2 + 1 = 0. Calculate m.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35413.48 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.315 - -3.915. What is the nearest to 1 in a, 0.006, -3, 4?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21770 = 302*o + 336*o - 16*o for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/74736 and 73\/7612?\nAnswer: 822096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 - 2*g**4 + 31*g**3 - 34*g**2 + 8*g = 0?\nAnswer: -4, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4806 - -25942. Is f a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 4. Let w be -1 - -4 - (-6 - z). Solve 0 = 4*l - 6*l - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9*(0 + 9). Suppose 0 = -4*b - 2*s + 5*s - 34, -2*b = q*s + 26. Let f = b + 7. Put f, 0, 1 in increasing order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4598*z = -4572*z - 87 - 147 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2) + (0 - -3). Solve 0 = 3*u + 4*v - 5, 0*v = -y*u + 2*v - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -46*w - 281. Determine d(-4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (38676\/10)\/((-9)\/30*4\/(-6)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332940 - 182771. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.38 and 1047?\nAnswer: -3538.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403241 (base 8) in base 7?\nAnswer: 3233231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -2 - (1 - 2)*1. What is the third derivative of -133*x**2 - 115*x**2 - j*x**5 + 226*x**2 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7715 - -9635. Calculate the greatest common divisor of 130 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o + 133*o**2 - 132*o**2 - 59*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 10. Let q be u(-6). Let g be 26*3\/15*25\/q. Factor -1\/2 - 5*f**2 - 9\/4*f**3 - g*f.\nAnswer: -(f + 1)**2*(9*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 - 3*i - 7. Let b be p(-6). Let t = 43 - b. Let w be (-2 - t\/1) + 18. Are 20 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 2 y when four letters picked without replacement from lcsclwsvyslwyycy?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51864 (base 9) to base 13.\nAnswer: 1277b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + 4*r - 14. Let l(s) = 6*s**2 - 7*s + 28. Determine 7*d(n) + 4*l(n).\nAnswer: 3*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/(-15) - 2\/5. Let x be 3\/(-4)*(3 + h). List the prime factors of (-33)\/(-9) - x\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -2. Which is the third smallest value? (a) 2 (b) h (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:23 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t**3\/7 - 30612*t**2\/7 - 657250*t\/7 + 30636\/7 = 0 for t.\nAnswer: -333, -23, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:03 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 35658*c - 4528582. What is f(127)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 + 3*n**2 - 2*n**2)*(534 - 534 - n) in the form d + j*n + i*n**3 + x*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k + 2*z + 85, 4*z = 0. Let a be 0 - (-7 - -7) - -8. Let r = a - k. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*o - 14, 2*w + 0*o - o - 5 = 0. Suppose 5*f + w = -3*y, 0 - 22 = -4*y + 5*f. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*c - 33 + 57, -2*c - 2*v - 18 = -4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 14.992. Round w to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d6220 (base 15) to base 3\nAnswer: -11010122112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 156 = 2*a. Suppose a = 5*l - 2*t, -28 - 142 = -5*l - 5*t. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + -16 - (9 + (3 - 5)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(-14\/5)*h\/(h*h**9)*h**(-2\/15)*h\/(h\/(h\/(h*h**(-2\/55)))) assuming h is positive.\nAnswer: h**(-709\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 7*g + 1. Let u be j(6). Let l(f) = -f**3 - 4*f**2 + 2*f - 3. What is the tens digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14452)\/86 - (-1618)\/34787)*(15\/6 - 2)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1, -15 in increasing order.\nAnswer: -27, -15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.2, -46, 3?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 659 + -707. Is 9 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) - (-2 + (sqrt(32) - sqrt(128)))) + -5)**2*4.\nAnswer: -192*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18444 = 2*r - 131*m + 130*m, -36900 = -4*r + 4*m. What is the greatest common divisor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701)*2)\/sqrt(3))**2 + ((sqrt(56) + sqrt(112)\/sqrt(2))\/sqrt(2))\/sqrt(4).\nAnswer: 2*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from mmgggdgmdg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2195 and 439.\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-640)\/(-24))*(-102)\/(-612)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 6) + (6 - (-8 + 22)) + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + -1*(sqrt(1700) + 5 + sqrt(1700)*2).\nAnswer: -30*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 19*w**4\/24 + w**3\/6 + 77*w**2 - 2*w. What is l(-5)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1110, -2227, -3344, -4461, -5578, -6695?\n\"Answer: -1117*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 + 9*x - 18. Give p(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 18.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 0.25. Let h = -0.06 + n. Let w = -189 + 184. Which is the second smallest value? (a) h (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102075 (base 8) in base 14?\nAnswer: 79c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 524264*y + 34356592712.\nAnswer: 2*(y + 131066)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74726435*r**2 - 124677070*r wrt r?\nAnswer: 149452870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -151734760 divided by -2\nAnswer: 75867380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/9 - 2*w**3\/3 + 112*w**2\/9.\nAnswer: -w**2*(w - 8)*(w + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9349 + 458 = 7*j. Suppose -x - 10 = x, -3*x + j = 4*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2026260 rounded to the nearest 1000?\nAnswer: -2026000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 15. Let c be (h\/15)\/(1\/7). Sort c, 2\/9, 2 in decreasing order.\nAnswer: 2, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h + 398 = 2241 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249760.\nAnswer: 2, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/24, -0.04645, 0, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 = -2*n - 5*b, -15 = n - 4*b. Suppose n = h - 19. What is the lowest common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.6, 0.08, 0.1, 2, -15\/733?\nAnswer: -15\/733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -629465*n - 68. Let v be j(-20). Let h = v - 3669232. Round h to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.3 + -75. What is the closest to 24 in 0.2, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (292\/16 + 7)\/(4 + 75\/(-20))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6)*z)\/(z\/z**(-5)))\/(z**(2\/17)\/((z*z*z*((z\/((z**(-1\/2)*z)\/z*z))\/z)\/z*z)\/z*z*z)) assuming z is positive.\nAnswer: z**(183\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or -112?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*g + 387*g + 298*g = 22686 for g.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -20 + (2 - -11) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33033\/(-1452) - 140\/(-16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhph when four letters picked without replacement from hhhppphhhhpp?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/4 + 4*l**3\/3 - 3*l**2 - 5*l - 7. Let h(a) = a**2 + 6*a + 3. Let f be h(-2). Calculate u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose 226*f - 243*f + 68 = 0. Solve b + 2*z + 7 = 0, f*z = -5*b + q*z - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4932*j**3 - j**2 - 628*j.\nAnswer: -29592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 4 - 3)*(212*i + 232*i + 260*i) + 0*i - 3*i + i - 3 + 4 - 3*i + 5*i to the form l + n*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(272) + -1*(sqrt(17) + sqrt(17) + 0)*4)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89172697 minus -60?\nAnswer: 89172757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2256 and 83\/18?\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 368. Let y = -176 + b. Solve -25*n + 29*n = y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*l - 4*t, 0 = 3*l - 82*t + 81*t - 27. Suppose -2*z + 4*z + 69 = 3*n, 0 = -3*n + 3*z + 69. Calculate the remainder when n is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y. Let u(m) = -13*m**2. Determine u(z(h)).\nAnswer: -117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3)*(-5310)\/(-12744))\/((-2)\/18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let n(v) = 4*v. Let t(i) = -5*n(i) + 6*u(i). Let g(a) = -179*a - 405*a + 435*a. What is t(g(w))?\nAnswer: 298*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**2\/2 - i + 1. Let u(m) = 3*m**2 + 3*m - 2. Suppose 2*w - 4*j + 34 = 54, w + 3*j + 10 = 0. Give w*v(o) - u(o).\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16910.797 and -3.\nAnswer: -50732.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = -8*h + 763424. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 2 - -2 - 0) + 4 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -133420 times -700\nAnswer: 93394000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 4142*o**2 - 3*o + 940*o**2 - 3203*o**2 in the form r*o + y*o**2 + f and give y.\nAnswer: -6405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 3)*(15*k**2 + 22 - 22) - k**2 - 25*k + 25*k as s*k**2 + t + l*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 24. Let x = -17.1 + i. What is the nearest to 1 in -0.4, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1881186 is divided by 6377.\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -173, -223, -273, -323?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -881286950 to the nearest 100000.\nAnswer: -881300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 7:03 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + 4*n)*(4 - 3 + 1)*((-1 - 2 + 2)*(-3*n**2 - n**2 + 3*n**2) + 3*n**2 + 3*n**2 - 4*n**2).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2617524 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 21*j**2 - 111*j + 17. Calculate u(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**34)*x\/(x**(-2\/147)\/x))**(-3\/5) assuming x is positive.\nAnswer: x**(4702\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -7*y - 68. Suppose y*q = 30*q - 208. What is the smallest common multiple of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/4, -2, 4.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8653 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 1531 = -1831 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let n(b) = -125*b**2 - 2*b + 16. What is a(n(p))?\nAnswer: -250*p**2 - 4*p + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:15 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5594.61 micrometers to meters.\nAnswer: 0.00559461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**4\/4 - 7*p**3\/3 + p**2. Let j(q) = -4*q + 2*q + 0 + 5. Suppose 0 = 4*v + 1 - 25. Determine v*k(o) + 17*j(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 2 = 4*d + g, 3*g = -2*d - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 772 + -718 - (6 + -1 + -13 + 12)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/23 - 39486*q**3\/23 - 14273268*q**2\/23 - 1734075304*q\/23 - 70371373392\/23.\nAnswer: -2*(q + 122)**3*(q + 19377)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 - 2221?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -2, 256, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1028)\/128)\/((-2)\/(-311)). Let b = x - -1249. Find the common denominator of b and ((-70)\/2100)\/(2\/(-325)).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 not equal to 23255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16180 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -27*d + 13460. List the prime factors of d.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6111 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 5*t - 1. Let g be r(6). Put -5, g, 3 in ascending order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = 24*i - 5*k - 31, -11*i + k = 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.06 + -0.16. Suppose -20*h = -25*h + 405. Let w be (9\/(h\/(-8)))\/((-8)\/(-12)). What is the second smallest value in t, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 902551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 59*b - 694. Determine d(-36).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 6. Let o be m(-5). Let y = 11853 + -11856. Put -32, o, y, -2 in ascending order.\nAnswer: -32, y, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxhxxxxxxxxxxxxxx. Give prob of picking 1 x and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, s: 1}. What is prob of picking 2 s and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/((j\/j**(-1\/10))\/j)*j**(-15)\/((j**(2\/17)*j)\/j) assuming j is positive.\nAnswer: j**(303\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*p + 12990 + 6323 - 1911 = 0 for p.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160477 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:22 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4250*k + 68003. Calculate c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 0.2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/5 + 254*q**2\/5 + 151*q + 502\/5 = 0.\nAnswer: -251, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12034 + 1332?\nAnswer: 13366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37581804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1531 not equal to -1531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 0, -849, -3, 3, 2 in decreasing order.\nAnswer: 3, 2, 0, -2\/5, -1, -3, -849","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (520\/18)\/(210\/945). What is the highest common divisor of 270 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*p - 2*p, -5*i = 3*p. Let a(t) = 7*t - 2. Let w be a(3). Let c = w - i. Solve -3*g - 8 = 2*q + g, -5*g = -2*q + c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14*g + 71. Let r(v) = -2*v**3 + 6*v**2 + 8*v + 5. Let q be r(4). Let j(a) = -9*a - 47. What is q*i(m) + 8*j(m)?\nAnswer: -2*m - 21","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r - 3. Suppose 0 = 6*g - 4*g - 8. Let h be n(g). Calculate the highest common divisor of h and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12427328 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 4:14 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/17*((-4)\/10)\/((-70)\/875)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346718687 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let n(x) = -2*x - 7. Let a(k) = n(k) - 3*z(k). Let o(j) = j - 5. Let f(d) = 5*a(d) - 4*o(d). Let s(v) = 3*v. Determine f(s(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - 27*n - 1 + 24*n + 1 in the form l*n + j*n**2 + g*n**3 + c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 27 = -4*n, -2*n - 3 = -696*r + 697*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let x = 7 + -13. Let s = x - -13\/2. What is the nearest to 1\/3 in 4, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g**2 + 0*g)*(-g**2 + 1 - 1) - 18 - 6*g**4 + 18 in the form m*g**2 + h*g + y*g**3 + f*g**4 + n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -481 + 72. Let g = s + 728. Let b = -13 + 42. Calculate the highest common divisor of b and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -1941, -380\/9, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 - -24440351?\nAnswer: 24441050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 4 - 1 + y. Let u(p) = 2*p**2 + 22*p + 54. Let m be u(-4). Give b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -491\/9 + 55. Which is smaller: y or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 6*r**2 + 2*r**2)*(-3*r + 2*r + 3*r) + (-3*r + 5*r + 0*r)*(0*r**2 - r**2 + 2*r**2) in the form w + l*r**3 + t*r**2 + p*r and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 105*w**3 + w**2 - 3*w + 2. Does 21 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose 0 = 2*a + h*a + 10. Let m be a\/(-3) - (-75)\/9. Solve -5*r = -c + m, 3 = 2*r + c + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/7 + 2*h\/7 + 5 = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33241662*f**3 - 49161596*f wrt f?\nAnswer: 199449972*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 10*i + 53*i + 44*i as r*i + z and give r.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, y: 1, p: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84012289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*v + 110 = 0, 240 = 4*c + 3*v - 2*v. Suppose c = 3*l + 11. What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8. Solve f*i - 12 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h**3 + 160*h**2 + 4*h + 37. Let p(t) = 6*t**3 - 79*t**2 - 3*t - 21. Give -4*k(g) - 7*p(g).\nAnswer: 2*g**3 - 87*g**2 + 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 3*f**2 + 5 - 2592*f**3 + 1301*f**3 + 1297*f**3 in the form i*f**3 + p*f**2 + x*f + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (((1 + sqrt(931))*6)**2 - -5*(1 + sqrt(931))).\nAnswer: 539*sqrt(19) + 33556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 86 - 91 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3778*19.\nAnswer: 71782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*o - 42*i**3 - i**2*o + 8*i**2 + 33*i*o + 5*i + 416*o wrt i.\nAnswer: -6*i*o - 252*i - 2*o + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 104\/67, -1, -5 in ascending order.\nAnswer: -5, -1, 0.1, 104\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - t**5 + 0 + (3 + 4*t - 3)*(-t**4 + 10*t - 10*t).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y. Let u(n) = 3*n - 10 + 10. Give u(x(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 101 - 25)*(-i**3 + 3*i**3 + i**2 - 2*i**2 + 2*i**4) as f + b*i**3 + r*i**4 + w*i + o*i**2 and give r.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14593719.\nAnswer: 3, 7, 99277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 16*v - 21. Let o be k(-18). Suppose -7*n - o + 190 = 0. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - 1. Let y(t) = -10*t**3 + t**2 + t - 1. Let f(u) = -j(u) + y(u). Give f(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47545747 to the power of 1\/2, to the nearest integer?\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -15. Let j be (r\/(-2))\/((-18)\/66000). What is j rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 28 = -31. Solve -2*r + o = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/40*(-133)\/19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 889 + 1593. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 3685331?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5093 + 5101 - (1 - 2 - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88016 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2498, 4, 0.1, 182\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 27, 67?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 56 = -9*y. What is the remainder when 54 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j**2 + 3*j - 3. Let b be 66\/(-14) - 64\/224. Let a(u) = -3*u**3 + 2*u**2 + 5*u - 5. Determine b*h(z) + 3*a(z).\nAnswer: -4*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55686165 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2469007 + -102?\nAnswer: 2468905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12 + 5*h**2 - 5*h - 4 - 4*h**2. Let s be n(8). Differentiate -s*a - 12 + 3 - 3 wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 296*s - 2952\/5.\nAnswer: -2*(s - 738)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57266 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: Calculate 35133870 divided by -12345.\nAnswer: -2846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -38. Let t = h - 11. Suppose i - 3*i = -t*d - 3788, 1897 = i - d. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 302 - 88 = 0. Suppose 2*y + i = 117. Sort 6, y, 1.\nAnswer: 1, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 12:08 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/675 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - r - 9. Let i(l) be the first derivative of l**3 - l**2 - 14*l - 7. Determine 5*i(a) - 8*t(a).\nAnswer: -a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)\/(h*h**2)*h\/h**(-3)*h\/h**(-2\/5)*((h\/(h*h*h**(-1)))\/h)**(-11\/6)*(h**1)**(-40) assuming h is positive.\nAnswer: h**(-1073\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 151, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2)*-1)\/(-2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 5*l + l + 5*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -2\/3197 (c) 16\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ofoffoff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 390*a - 349 wrt a?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 319 - -1971?\nAnswer: 218a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*t - 1611 + 342*t + 1611.\nAnswer: -902*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*j - 591 = -411, -5*j - 39 = -2*c - 6*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 6 + 15*q**3 + 2*q**2 - 13*q**3 as k*q + s*q**2 + t + d*q**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*a**2 + 58*a - 181*a + 60*a + 63*a.\nAnswer: -182*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, 54, 133, 212, 291?\n\"Answer: 79*g - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110 + 45*z**3 - 5*z**4 - 17*z**3 + 2*z**4 + z**4 wrt z.\nAnswer: -8*z**3 + 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 1\/2*v**3 + 3\/2*v**2 + 0.\nAnswer: -v**2*(v - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1042806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/400 and 103\/13200.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 5 - c**2 - c + 1. Suppose 5*g - 5*o + 5 - 10 = 0, -4*g - 3*o + 39 = 0. Calculate z(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9928, -19744, -29342, -38614, -47452, -55748, -63394?\nAnswer: -70282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (2 - 86\/4). Solve 4*t + x = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-3)*(-171)\/684.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1348 + 1351. Sort n, -111, 2\/11.\nAnswer: -111, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-23\/5))**(-9\/10)\/(v**(-7\/3)\/v*v*v**(-26\/5)*v) assuming v is positive.\nAnswer: v**(1601\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -202*m - 2. Let h be l(-1). Suppose -3*d + d + h = -4*z, -2*d = -3*z - 196. Calculate the smallest common multiple of 20 and d.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 3, t: 1}. What is prob of sequence thu?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) 0.4 (c) -0.3 (d) -0.1 (e) 0.69 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from muhiuus?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -63*f**2 - 42*f + 279. Determine g(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, q: 1, r: 3}. What is prob of sequence rrbb?\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 - 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, e: 2, o: 1, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + o + 2*o + (9 - 1 - 4)*(-21*o - 47*o - 2 - 36*o) as b*o + z and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*t = 48*t + 104 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 25 = -15*a. List the prime factors of ((-21)\/a)\/(3\/(-15)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -1\/5, -6, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-91) - (4\/14)\/(-2) - 2456\/28?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 107*r**2 + 61*r**2 + 52*r**2)*(2*r + 0*r + 0*r) + (3 - 5 + 3)*(-4*r**3 + 5*r**3 - 2*r**3).\nAnswer: 11*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 249058*h**2 + 4*h + 24. Let t be u(-5). Let y = t + -9716454. Round y to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 3536?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*v - 8 = -26, -p + 19 = 5*v. Let o be -3 + p + 1 + -129. What is o rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + 3*n**3 - 13*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 0*s + 180 = 0. Solve -17*n + s*n = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-4620)\/(-255)))\/((-14)\/1120*10)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*d + 8*d - 288, -4*d + 384 = -f. Let n = 371 - d. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**7\/840 - b**6\/90 - 7*b**5\/120 + b**4\/4 + b**3 + 3*b**2\/2 + 66. Let k(v) be the third derivative of z(v). Determine k(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -510 + 512.35. Which is the nearest to p? (a) -0.01 (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 2:07 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 10 - 116 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2677 and -2313134360.\nAnswer: -2313137037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29157.61 to the nearest 10.\nAnswer: -29160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.45 and 547600.\nAnswer: 547593.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 5*q + 11 + 5*q + 7. Let o be t(-9). Suppose o*n = 2*n - 6. Solve n*b + 4 = g, 2*g + 7 = 3*g - 4*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3813925766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1648\nAnswer: -1\/824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1796, -3597, -5386, -7163, -8928, -10681?\nAnswer: -12422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + 8.4. Let u = 637 - 637.3. Which is the nearest to t? (a) u (b) 4 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*l - 69 = -14, 5*l = -3*t - 179. What is the units digit of -2*(-2 + 3) - t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e49c (base 15) to base 13\nAnswer: -18ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f + 1. Let y(k) = 5*k + 4. Let g(h) = -5*u(h) + y(h). Suppose 0 = -c - 1 + 2. Does 4 divide g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25500*c*q**5 + 8798*c*q**2 - 12*c*q - 1387*q + 853 wrt q.\nAnswer: 510000*c*q**3 + 17596*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-16))\/(9\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 33666.\nAnswer: 33666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1048, 1025, 1002, 979?\n\"Answer: -23*m + 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*m = -344*m + 1328 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3098435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615\/25 + 5 - (-6)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -1.02. Let b = -1.6 + o. Let n = 0.7 + b. What is the closest to n in 3, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + (-3 - 6) + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 14 - (-171 - -161)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*y + 2374, b + 0*y = 3*y + 2364. Let d(f) = 1568*f**2 - 2*f - 1. Let c be d(-1). Let t = b - c. Round t to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -18*t - 410. What is c(-17)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13262 rounded to 3 dps?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.19. Which is the smallest value? (a) 5 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 213 + -211. Suppose 5*r - 5 + 0 = 0. Calculate the remainder when c is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - 1 + 1)*(44*r - 8*r + 48*r).\nAnswer: -420*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 591, 583, 569, 549, 523, 491?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1894, 3788, 5684, 7582?\n\"Answer: v**2 + 1891*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - sqrt(288)*1)\/(sqrt(4) - (sqrt(4) - -4*sqrt(4)*-3)) + 2 + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfrpfuppep. Give prob of picking 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 966 <= 968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(1\/5))\/c))\/(c**(1\/3)*c))**17 assuming c is positive.\nAnswer: c**(-136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 7*a + 1. Let x(t) = t**3 + 3*t**2 - 2*t - 4. Let s be x(-3). Suppose -s*h + 30 = 3*h. List the prime factors of k(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3004 - -306.1196. Let f = -309 + n. What is f rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d9 + -5770?\nAnswer: -5697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - 94. What is v(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**2 - 167 + 50 - 5*f + 120. Calculate y(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 201210000211?\nAnswer: -201210000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 19. What is the smallest common multiple of n and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(32\/(-28))*-4. Let f = -10 - c. Suppose 3*l = 2*l + 3*o + 14, f*l - 5 = -5*o. Solve v + 2*v - 12 = a, l*a + 5*v = 40 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 39*r + 3708 = 0. Let f = r + 116. Solve f = g + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 11. Suppose 2*q - 13 - 2 = -5*d, 3*q + 4*d = 26. List the prime factors of n(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3981735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110601 - 26*u**3 - 110601.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h - 631*h + 164*h - 612*h to c*h + o and give c.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 4)*(56*s + 372*s - 121*s) + 3 - 3 - 2*s to the form w*s + m and give w.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let r be a(1). Let t be (0 - r)*(-12 + 0). Let s = t + -6. What is the remainder when 11 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 16751857?\nAnswer: 1675185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -2219*f**4\/24 + 3517*f**3\/2 + 37*f**2 - 78. Find the first derivative of g(i) wrt i.\nAnswer: -2219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -17 + 26 + -15 + -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/((-4)\/27). Suppose 248 = f*q - 220. Factor 268*d**2 + q*d + 91*d**3 + 84*d + 686*d**5 - 784*d**4 - 413*d**3 + 16.\nAnswer: 2*(d - 1)**2*(7*d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + (5 - 1). Suppose 0 = -t*w - w. Suppose -2*y + a + 7 = 0, y = 3*y - 4*a - 16. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fweezzfeeweefeez. Give prob of picking 2 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -13*u**4\/4 - u**3 - 18*u. What is the second derivative of x(l) wrt l?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 13*n**2 - 407*n - 5286. What is j(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/2)\/(-7)*11\/33?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 11. Let j be p(8). Let i = -7 - j. Let z(g) = g**3 + 5*g**2 + 7*g + 4. What is z(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3438)\/(-573)*7\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b**3 + b**2 - 1. Let q be n(1). Let p = 45 + -43. What is the units digit of (-4 - -6)\/(p\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4092 - -4091.99995001. What is r rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 12:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 7*i**2. Let j = 586 - 579. Calculate w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 9*i**6\/40 - 5*i**5\/12 + 1387*i**4\/4 + 3420*i**2. What is the second derivative of y(d) wrt d?\nAnswer: 162*d - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 215\/15)\/(4\/(-6)). Let s(v) = -57*v + 280. Let i be s(c). Put i, 109, 2 in decreasing order.\nAnswer: 109, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1664302\/4629335 - -2\/52015. What is the common denominator of s and (-2)\/(2136\/208 - (8 - -2))?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-95)*(-5)\/17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*z + 3*o, -2*z + 2*o - 64 = -84 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5*1358363\nAnswer: -6791815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4061, 15320, 34097, 60398, 94229, 135596, 184505?\n\"Answer: t**3 + 3753*t**2 - 7*t + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h - 9. Let c be j(-5). Suppose -c + 34 = -g. Let v be ((-3)\/(-39))\/((-4)\/g). What is the third biggest value in -2, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 6.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*5\/90)\/((-1)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002162345547 to 6 dps.\nAnswer: 0.002162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*24\/(-56)*28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five halves of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 25*d - 48. Let k be (1\/(-3))\/((-3)\/(10 + 8)). Let m be q(k). Suppose 0 = 3*j + 4*g - 1, -38 = -j - 3*j + 2*g. Solve -m*o - 3 - j = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) 23 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 2. What is the common denominator of (-302)\/12 + 2\/v and 15 - (3 + 22\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:07 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 7*g**2 - 470*g + 1903. Let x be r(4). What is the highest common divisor of x and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sev when three letters picked without replacement from {x: 2, o: 3, v: 1, s: 3, e: 1, i: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -7) + -35 + 195 + -30.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*u + 25, 18*q - 1335 = -29*u + 15*q - 1437 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6825667, -6825656, -6825631, -6825586, -6825515, -6825412?\nAnswer: -6825271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - (-102 - (-117 + 121)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 8:41 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56413908 divided by 243?\nAnswer: 232156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 55 + m - 7 + 43 - 91.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.4, -0.3, 2\/305, 19, -0.068, -1\/4?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15406697079.40074 - -15406954599. Let q = w + -257524. Let t = q - -4.4. What is t rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + n**2 + 2*n**4 + 13*n**3 + 0*n**4 - 2*n**2 as b*n**4 + v*n + o*n**2 + i*n**3 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*h + 227 = 0, -272 = -k - k + 4*h. Let b = 190 - k. Calculate the greatest common factor of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(6\/(-8) + (-8)\/(-12) + (-83860)\/(-966000)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyyyjjyjjyryyy. What is prob of picking 2 t, 1 y, and 1 r?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - 30. Let m be (c + 2)\/(78\/(-508)). Let s = m - 332. What is the biggest value in -4, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*d)*(250*d + 68 - 68) as w + b*d + l*d**2 and give l.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*r - 179 + 46 = 0, -118 = 2*g - 4*r. What is the units digit of 10*2*g\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4394, 4392, 4390, 4388, 4386?\nAnswer: 4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from vvgvggv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (480\/144)\/(2\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 13*y**2 + 11*y - 9. Let m be j(-12). Suppose m*x + n - 71 = -0*x, 3*n - 113 = -5*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 8*w - 12. Solve -4 = -3*m + 2*h, -2*m = -m - w*h + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + ((sqrt(200) + 0 + sqrt(200))*5)**2.\nAnswer: 10*sqrt(2) + 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246180874 to the power of 1\/2, to the nearest integer?\nAnswer: 15690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*j*o - 30126383*j + 141014*o wrt o.\nAnswer: 130*j + 141014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from mziztxxmmza.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 + 14*q**4 - 2*q**3 - 14*q**2 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -247?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800361120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 5*q + 6. Let o(u) = -u**2 + 1. Let c = 2 - 1. Let z be o(c). Let r be 2 + z - (-7)\/(-1). Give j(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**3\/3 + 11*l**2\/2 - 20*l + 7. Let g(j) = -j. Calculate d(g(u)).\nAnswer: -2*u + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-1\/24)\/q)))**(7\/3)\/(q**(-37)\/(q\/(q*(q**1*q)\/q*q*q)*q)) assuming q is positive.\nAnswer: q**(2345\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -25*f**3\/3 + f**2 + f - 27. Let g be p(-2). Let t = g - -188. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/2)\/(195\/(-30)))\/(-3).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 59*t**2 + 2210*t + 128915. Determine c(-60).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 122*a**2 + 5*a - 46. Is d(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and -0.3.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -5*v**4\/18 - 4*v**3\/3 - 4*v**2\/3 + 2*v. Let a(h) = 0. What is h?\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6 and 199\/63030.\nAnswer: 63030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6 - 4 - 1. Let g(j) = j - 6. Let z(b) = -b**2 + 5*b + 5. Let m be z(5). Give m*f(y) + g(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - u - 423*y + 16 = -428*y, -7*u - y = -56 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 + 327. Let j = k + -325. Let y = j - -276. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, -0.2, 5, 0.2, -1\/185?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 601 in ascending order.\nAnswer: -7, -1, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 + 22.9?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-126)*(-2 + 5). Let o be (-75)\/(-1995) + (-2)\/14. What is the fourth biggest value in w, 0.5, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 9*p**7\/490 - p**6\/14 - 23*p**5\/140 + 3*p**4\/28 + p**2. What is r in y(r) = 0?\nAnswer: -1, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 4*t + 5*s, -3*s + 22 = -2*t. What is the remainder when (-2)\/t*(-260)\/(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/((-91)\/13))\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*i**3 + 2025*i**2 + 123*i**3 - 2025*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d, -7*c - 4 = -8*c - 4*d. Let n(b) be the third derivative of 0*b**3 - 1\/240*b**5 + 0 + 0*b + 4*b**2 - 1\/96*b**c. Determine s, given that n(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/10, 0.3, -4, -5, -16, 2\/9 in descending order.\nAnswer: 0.3, 2\/9, -11\/10, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/11 + 42356004*n\/11 + 224253884356002\/11 = 0 for n.\nAnswer: -10589001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 55. Let w = 74 - g. Solve 0 = -i - 2*p + 5, 29 = -0*i - 3*i + w*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 - (-200)\/(-2250)*-1230.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.6 + -57106.\nAnswer: -57155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*r = 7 + 2, -4*a + 2*r = 0. Which is bigger: a or 54\/241?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 8*w + 8. Let z be a(7). What is the highest common factor of z and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 k when four letters picked without replacement from akakkkkkaaakkaka?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 70 - 167 + 5*a - 120*a**2 + 74.\nAnswer: -120*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01636842313 to 6 decimal places.\nAnswer: 0.016368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138.47 - 156.3. Let n = -14.3 - 3.7. Let y = x - n. What is y rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - t + 2*t**2 - 6*t**3 - 6*t**4 + 3*t**3 as d*t**2 + x*t**4 + s + v*t + o*t**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008497284809 rounded to five dps?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/15876744 and -69\/350480?\nAnswer: 158767440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 435*g + 177 wrt g.\nAnswer: 435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -21. Suppose -2*r + 30 = -0*r. Suppose -u + 5*u - 20 = 0. Solve r = -2*k + 3*a, 0 = u*a + 7 - d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19949061.5107997 - -45.6107997. Let h = -19948733.8999841 - p. Let f = h - 282. What is f rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 616, 2, -2, 6, 3, -4, -44 in increasing order.\nAnswer: -44, -4, -2, 2, 3, 6, 616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 36\/32 - 2. Let o(r) be the third derivative of 0*r + 2*r**2 + 0 + j*r**4 - 1\/3*r**3. What is the first derivative of o(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d863 (base 14) in base 9?\nAnswer: -56174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 - (0 + 1). Let k be a\/(-2) - (3 + -2). Suppose -5*x + 5 = -k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (816\/80 + -10)*(-1)\/(-7). Let f(c) be the second derivative of 0 + u*c**5 - 4\/49*c**7 + 0*c**4 - 2\/105*c**6 + 0*c**3 + 0*c**2 + 39*c. Factor f(i).\nAnswer: -4*i**3*(2*i + 1)*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnjnrngrrnrnnnnr. Give prob of picking 2 r, 1 j, and 1 n.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.423104um in centimeters?\nAnswer: 0.0000423104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1271674*b**2*g + 4*b*g + 3998*b + 3 wrt b.\nAnswer: -2543348*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8.95. Let f = n + 0.04. Let u = f - 0.090006. What is u rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*u + 476 = 76*u + 66*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32850757 + -32901904.069. Let p = -51100 - d. Let z = p - 47. Round z to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - 13. Let k = -152\/3 - y. Suppose 0 = 4*n + i + 14, 1 = -i + 3. Sort n, -1\/3, k in ascending order.\nAnswer: n, k, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8652 - -8654. Solve d = a - 1, -2*a + 2 = -j*d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)\/(sqrt(4)\/sqrt(2)))\/(-2*sqrt(108) - -4*2*sqrt(3)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 16 = 0, m - 30 + 9 = 5*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x + 29*x + 23*x - 6*x + 26*x**2.\nAnswer: 26*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49267521 + -200652.\nAnswer: 49066869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17*a**2 + 1192*a + 30. Let m(y) = 6*y**2 + 398*y + 11. Determine 4*g(b) - 11*m(b).\nAnswer: 2*b**2 + 390*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = w, -w + 5*f - 2*f - 13 = 0. Suppose -s - 59 = -4*x, 3 = s - w. Solve x = 3*j + 2*i, 0*i = 3*j - 2*i - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*p + 9 + 7 = 0, 0 = -2*t + 5*p + 20. Sort 3, t, -4 in descending order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 2. Let w be y(-6). Is w at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 63*l = 8, t = 2*l + 23. Let h(k) be the first derivative of 19 + 9\/8*k**4 + 8*k**3 - t*k + 45\/4*k**2. What is p in h(p) = 0?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5\/7, -3\/5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 9*p**3 - 8*p + 14*p**3.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21898 - 21807. What is the remainder when 255 is divided by z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4160 divided by -26.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -406 - -426. What is the smallest common multiple of 34 and s?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j - 19. Let k = j + -24. Let p = k - -22. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 4872. Let h(w) = -169*w. Calculate h(g(a)).\nAnswer: 676*a - 823368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 1571858.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*4*(1 + (-5)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -137637 and -20?\nAnswer: 2752740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, c: 3, f: 4, l: 2, q: 1, h: 5}. Give prob of picking 1 x, 1 q, and 1 h.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let r = -43 + 47. Let j(n) = 4*n + 10. Let o(l) = r*i(l) + j(l). List the prime factors of o(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252.16 + 5.84. Let b = -284.2 + f. Let p = b + 26. What is the smallest value in p, -1, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*c - 10*c**3 - 121*c - 1210 + 1215.\nAnswer: -10*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/10*(-14 + 22). Let h = -83\/2 + 419\/10. Put 6, h, f in ascending order.\nAnswer: h, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247932 divided by -20661\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**5\/160 + 149*f**4\/64 - 37*f**3\/4 - 512*f**2 + 3*f. Let a(b) = 0. What is b?\nAnswer: 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/12*-12*(-6)\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 18090 + 15548 + 4*s to c*s + k and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z - 7044 = 25*z - 71*z. Solve -z*j = -586*j + 7 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-78))\/((-9)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5 + 69*q**4 - 112*q**3 - 141*q**2 + 110*q + 72 = 0.\nAnswer: -36, -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**4\/12 - 2*p**3\/3 - 2*p. Suppose 6*y - 13*y - 42 = 0. What is m(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*v - 0*v. Solve -8 = -5*j + 3*k, -5*k + 6 = -v*j - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-49) - 1552\/(-7). Suppose -h = h - b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-200))\/((-3)\/((-7)\/(196\/(-105))))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-112 + 3)) + -3 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-2\/3)*g))\/(g**(-10)\/g)*g**(-1\/4)*g\/(g**5\/g*g))**48)**9 assuming g is positive.\nAnswer: g**2196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70411 and 19203.\nAnswer: 211233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 0*k**2 + 6*k**3 - 3*k**2 - 184*k + 32 + 162*k to the form n*k + m*k**2 + q*k**3 + j and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000378 rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -105*a**2 + 466*a - 9. Let q(x) = 2*x**2. Calculate n(q(f)).\nAnswer: -420*f**4 + 932*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 339 - 0?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 0. Let q = b - 7.88. Let r = 3914 - 3919. Put 2\/3, r, 2, q in ascending order.\nAnswer: r, q, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 51. Let k be g(17). Let f(t) = -41*t**2 - 17. Let a(w) = 7*w**2 + 3. Let y(c) = -7*c + 162. Let l be y(24). Calculate k*a(x) + l*f(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2120 + 455. Let q be 110*-2*w*2. What is q rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 75.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 4*i - 2. Let z(r) = 119*r + 719. Let w be z(-6). Let x(p) = -7*p**2 + 8*p + 4. Determine w*b(l) + 2*x(l).\nAnswer: l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104788, 104786, 104784, 104782, 104780, 104778?\nAnswer: 104776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/6001 - 222091\/324054. Find the common denominator of q and 121\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3374710954?\nAnswer: 2, 19, 233, 563, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7068 is divided by 2257?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-16)\/(-10) + 0). Suppose k - j = -2. Suppose -5*f = -2*u + 13, -u + 4*f - 1 = -k. Calculate the smallest common multiple of 4 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -367006 + -77?\nAnswer: -367083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548795, -548792, -548789?\nAnswer: -548786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2 = -7*o, 520*o + 5*q = 521*o + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 8. Let k be a(-6). Suppose -k = 2*b, 0*b + 3*b = u - 5. Let o be (-4)\/u*2\/(-4). Calculate the highest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3013*o**2 - 7*o + 2. Let w(l) = -l. What is s(w(j))?\nAnswer: -3013*j**2 + 7*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1778\/112443 or -1?\nAnswer: 1778\/112443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 15*y. Let x be w(-15). Suppose 0*s - 1\/7*s**5 - 2\/7*s**2 + 3\/7*s**3 + x*s**4 + 0 = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -90. Suppose -5*d + 2*i = -19, 4*d = -0*i - 2*i + 26. Which is the closest to 0? (a) j (b) d (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 54*q + 23 - 54*q)*(26*q - 26*q + 4*q**2).\nAnswer: -12*q**4 + 92*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -748, -2368, -5020, -8680, -13324, -18928, -25468?\n\"Answer: 4*j**3 - 540*j**2 - 28*j - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-1 - -14 - (-36 - -80 - -19))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**7\/2520 + r**5\/360 + 5*r**3\/3 + 9*r. Let g(f) be the second derivative of q(f). Solve g(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 + 76. Let r(q) = q**3 + 8*q**2 + 2*q - 2. Calculate the smallest common multiple of 11 and r(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6908303272?\nAnswer: 2, 13, 47, 757, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33630 + -33627. Let m be (5 + 0)*4\/5. Solve 0 = q*j - 5*j + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:22 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrttttr. What is prob of picking 2 r and 2 t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491540 divided by 98308?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -468 - -823. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 180 = 13*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3541 + 3546. Solve -7*k = 10*k - q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:05 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273\/(-91)*(-12)\/27.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6*c - 76 = 10*c, 37*k + c + 1449 = 103*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13560+0.39\nAnswer: -13559.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -289, -285, -279, -271, -261, -249?\n\"Answer: x**2 + x - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -105*k - 50412. What is b(-479)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijfr when four letters picked without replacement from {j: 1, r: 1, i: 2, f: 1, k: 3, p: 3}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*i + 222734, -5*i - v + 64709 = -158018. Calculate the greatest common divisor of 256 and i.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -55*o + 51*o + 5*a, -3*o = -5*a + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -77. Let i = 5823 - 296968\/51. Do i and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0 + 0 - 7*s + 1. Let m(n) = -n**3 + n**2 + n. Let k be m(-1). Calculate o(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 97*p**3 + 5*p**2 - 2*p - 1. Determine t(1).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*d + 224. Let m = 151 - d. What are the prime factors of m?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289976 is divided by 96014.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -32258*o**4\/5 - 91948*o**3\/5 + 36078*o**2\/5 + 70632*o\/5 + 17496\/5 = 0?\nAnswer: -3, -54\/127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 4*l + 41. Calculate k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31823, 63665, 95539, 127445, 159383, 191353?\n\"Answer: 16*f**2 + 31794*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10.0005 + 18\nAnswer: 28.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -3 in descending order.\nAnswer: 6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30231 - 303231?\nAnswer: -1000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/60 - y**4\/24 + y**3\/3 - 3*y**2. What are the prime factors of j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0 (c) 12 (d) -6 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, 5, 0.7, -4, -2\/7, 24.\nAnswer: -4, -5\/7, -2\/7, 0.7, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from mmmkmmkmkmmmmkkm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4, 2*a + 4*i = 1 + 13. Suppose -a*m + 9*m = 40. Suppose -78 = -2*f - 0*f. What is the remainder when f is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 47 - 3*f - 9\/5*f**2 - 1\/5*f**3. Factor i(v).\nAnswer: -3*(v + 1)*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-one halves of a micrometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from armamamdmm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, r: 1, h: 3}. What is prob of picking 1 a and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + 944)*(0 - (-2)\/6).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from ojzdzpvp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 1 - 1)*(388*h - 779*h - 12536*h).\nAnswer: 12927*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j + 119*j + 832 = -142*j + 362*j for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3038*h + h**4 - 3038*h - 17*h**2)*(38 - 17 - 8) in the form x*h + b + k*h**2 + n*h**4 + d*h**3 and give k.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23035601 - -23035723.99881. Let h = 123 - v. Round h to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/7 + 4\/(-14). Let y = 6 + m. Which is the nearest to -0.2? (a) 2\/3 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4427181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 20368.\nAnswer: 101840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074511 to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 26 + 34 - (-53 - -11).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54194 + 5818 = -4*o. Let d = o + 10203. Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 192646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3147 - -3763. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -42.9?\nAnswer: 1158.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -78498, -156914, -235164, -313164, -390830?\n\"Answer: 14*z**3 - z**2 - 78511*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 16*r - 11. Let z = 30 - 37. Let k be n(z). Factor 18*f**2 - 9*f - 6*f**3 + 2*f**4 - 4*f**k + 4 - 5*f.\nAnswer: 2*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -1.2. Let o = -9 + j. Let r = 8.1 + o. Which is the third smallest value? (a) -1 (b) r (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 16 = 3*x - 4, -x + 2 = 2*m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-135)*2*54\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + l. Let c(f) = f**3 + 3*f**2 - 4*f - 9. Let v(m) = -c(m) - 4*p(m). Let g be v(0). What is the greatest common divisor of g and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - 5*m**2 + 2*m**2 + 2*m**2 - 2*m + 2*m + (m - m - m)*(m - 2 + 2) + (0 + 3 - 4)*(48*m**2 - 20*m**2 - 21*m**2) - m**2 - 2*m + 2*m.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-152))\/(((-70)\/(-8))\/5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1431007 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2225 - 410?\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3327 by 5.\nAnswer: 3327\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (11 - ((-6 - -4) + 4) - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12\/98*-7*-7 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:49 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 53*o**2 + 13*o - 2. Let m be t(13). Which is the closest to 0.02? (a) 0.4 (b) m (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 2. Let q(x) = 3*x - 6. Let s(l) = -4*l + 7. Suppose w = -0 - 7. Let n(i) = w*q(i) - 6*s(i). Give n(t(d)).\nAnswer: -9*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 30. What is p(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 157.229 (c) 0.4 (d) 0.7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 231, 203, 153, 75?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 0.1, -53.7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6205, -5 in descending order.\nAnswer: 17, -5, -6205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 3*t. Let a be (-6)\/(-2 + 1 - (-10)\/4). What is k(a)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9974 = 71*n - 18343 - 18753. Is 381 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 3*d**4 - d**4)*(3*d + d - 2*d) + (-6*d + 3*d + 5*d)*(4 - 7 + 4)*((2*d + 0 + 0)*(5*d**3 - 3*d**3 - d**3) + 0 + 2*d**4 + 0).\nAnswer: 16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.407 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20499938, -20499940, -20499942, -20499944, -20499946, -20499948?\nAnswer: -20499950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 921*k - 6346. What is u(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284393217.\nAnswer: 19, 67599643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19690000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from swzhsqsqhwwwss.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/2205 and 10\/76293?\nAnswer: 381465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Is -261*(-1)\/(-3)*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)**(2\/7)\/((((b\/b**(1\/3))\/b)\/b)\/(b**(-5)\/b)) assuming b is positive.\nAnswer: b**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2*q - 2, 2*t - 13 = q + 2*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, 0.5, 0.239, -0.104, -3 in increasing order.\nAnswer: -3, -0.104, 0.239, 2\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*c**2*u**4 + 1918*c**2*u - 7*u**5 - 2*u wrt u.\nAnswer: -516*c**2*u**2 - 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 2 t when four letters picked without replacement from tuitutt?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:51 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 2. Let h(t) be the second derivative of 5*t**4\/12 + 11*t**2\/2 + 4*t. Let i(p) = 11*f(p) + 2*h(p). Let z(b) = -b**2. Give z(i(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, -1, 1, -9779?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0683 + -11.6123. Let g = 0.044 + y. What is g rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 128 = -4*m - 23, -2*m - 2*y - 76 = 0. Let h be 7\/(273\/(-6)) + (-2034)\/m. Let f = h + 9. List the prime factors of f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, q: 9, j: 1, p: 1, m: 1, r: 2}. Give prob of picking 1 m and 1 q.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.41 + 63. Let x = -0.21 - t. Let f = 1.3 + x. Which is the closest to 0? (a) f (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 + 14*u. Let j(i) = 5*i**2 + 13*i. Let w(x) = 4*f(x) - 5*j(x). What is the units digit of w(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -2*p**7\/105 + 5*p**3\/6 - 6*p**2. Differentiate u(g) with respect to g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -7fe460?\nAnswer: 7fe450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 591579 >= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2169 - -2645. Calculate the highest common factor of i and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3944 and 6988496.\nAnswer: 202666384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 88*i**3 + 3*i**2 - 5*i + 1. Suppose 0 = 2*t + 2*p, 2*t - 4*p = 3*t. Let j(h) = -h**3 + h**2 - h + 1. Let q be j(t). List the prime factors of u(q).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = v - 28 + 5, 0 = 4*v - 2*f - 182. Solve 7*w - v + 36 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157.2985 rounded to the nearest 10?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + -3. Let b = 7.9 + -44.9. Let m = b + 36.6. Sort 0.1, d, m in descending order.\nAnswer: d, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.35 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -846.8214884248?\nAnswer: -835.8214884248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -427*h**2 + 2*h - 2. Let a(t) be the first derivative of 71*t**3 - t**2\/2 + t - 27. Let z(u) = 13*a(u) + 6*n(u). Is z(1) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.69 and -0.14.\nAnswer: 6.1166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 3170 = -16*c. Suppose 0 = 4*i - 5*p - 3013, -c = -4*i + 2*p + 1437. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4 - 7. Let h be (-7 - -6) + (-1 - a) + 0. Solve 5*m = h - 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(-5 + sqrt(1008)*2) + (-1*-3*-3*sqrt(1008))**2)*-4.\nAnswer: 288*sqrt(7) + 326532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z = 9*z + 325 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 1, e: 1, b: 3, n: 2}. Give prob of sequence decb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - q**4 + 2*q**4 + (-8*q**2 + 7*q - 7*q)*(-2*q**2 - q**2 + q**2) as l*q**4 + o*q**2 + r + u*q + s*q**3 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-13))\/(((-4)\/3)\/(102\/(-9333))).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/55 - 281\/110. Let g = 7.3 - 0.3. What is the third biggest value in c, -4, g, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73374715*q**2 + 4*q**3 - 73374715*q**2 + 6*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6041 = -426*y + 1224 - 3277 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109620431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 57 = s, 141 = -2*s + 5*s - 4*r. Let n be s\/(-264) - 9\/(-24). Let 2\/11*a**5 + 2\/11*a**4 + 0 + 0*a - n*a**2 - 2\/11*a**3 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and 25.6.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829740 divided by 10?\nAnswer: -182974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a, 5922 + 1236 = 3*h + 3*a. Suppose 3*m = h + 671. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 + 216. Solve -4*m - f + 3 = 0, -m - 2*f + 6 = -n*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 14\/4. What are the prime factors of 1 + 4\/6*d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + x - 1. Let k(a) = -6*a**2 + 5*a - 7. Let p(h) = 5*g(h) - k(h). Let y be p(-2). Solve y = 3*l + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 10. Let b be r(-15). Let n(i) = i + 4. Let f(v) = v + 4. Calculate b*n(t) - 6*f(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) -5 (c) 4 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098\/(-536) - (-128984)\/22432?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*d + 105534 = -86080. What is the remainder when d is divided by 126?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 105 - 28 = 0. Let s = a + 111. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65179569.\nAnswer: 3, 7, 13, 257, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 + -0.03. Let s = 35.5 + -28. Let f = -7 + s. What is the third smallest value in 1, d, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 - -1.5. What is the second biggest value in -1\/8, 6\/11, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10651827 - 17*m**2 - 10651827.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-83)\/17 + 6\/(-51). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009070843 rounded to four decimal places?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 4*t + 4. Let h be i(-5). Put h, 5, 0.3, 4 in descending order.\nAnswer: 5, 4, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216533136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677, -1688, -1699, -1710, -1721?\nAnswer: -1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/(8\/36). Suppose j*n = 2*n + 6. What is the least common multiple of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:50 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153655\/45 + 8\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - 138\/(9 - 55).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -146102510 + 5?\nAnswer: -146102502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58649 = -12*o + 57595. Suppose -5*n = -f - 51845, 2*n - 11051 = 2*f + o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -119.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -66.02.\nAnswer: -66.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5296736 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:26 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 99 = -4*p + 113, -p = -5. Which is the third biggest value? (a) 2 (b) 0.08 (c) 0.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*(-208 - -211). Which is the nearest to -3? (a) l (b) -0.066 (c) 3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a (base 12) to base 3.\nAnswer: 111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4248491104 and 1?\nAnswer: 4248491105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = p - 2*w, -4*p + 521 = -5*w - 1395. Let t = 732 - p. What are the prime factors of t?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18850, 18834, 18808, 18766, 18702?\n\"Answer: -f**3 + f**2 - 12*f + 18862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/37890 and -65\/9139068.\nAnswer: 45695340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 2*w - 36. Let p(n) = -n**3 + 3*n - 71. Determine 3*p(h) - 5*u(h).\nAnswer: 2*h**3 - h - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 13*f**2 + 15*f + 30. Calculate q(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j - 9564 = -9700. Solve 0 = r - 3*d - 37 + 18, -8 = 3*r + j*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367 (base 12) to base 3\nAnswer: 200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**4\/4 + 8*g**3\/3 - 2*g**2 - 8*g + 2. Let p be r(-6). Let c = -42 + p. Is c a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166500333?\nAnswer: 31, 79, 476317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -832 + 2273. Suppose -5*d + z = 241. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 8*k + 1. Let n be l(7). Suppose -3*i = -i + 2. Let d(b) = -88*b. Let y be d(i). What is the greatest common factor of y and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32c56b (base 16) to base 7\nAnswer: -40165461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17648618 (base 9) in base 12?\nAnswer: -2b88775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + -0.3. Let h = s - 3.96. Let p = h - -9. Which is the nearest to -1\/3? (a) p (b) -0.5 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*y**2 - 19*y**2 + 25*y**2 + 0*y + 2*y**2 + 0*y + y - y - y**2 + (2*y + 2*y**2 - 2*y)*(-2 - 2 + 3) - y + y + 2*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/1230*-228 - (1\/(-5) - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, c: 4, g: 1, k: 3}. Give prob of picking 1 g and 2 c.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3 - y. Let s(n) = n**2. Give m(s(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/77 - (-2)\/(-11). Let q = 6.2 - 5. Let i = q + -0.2. Which is the closest to i? (a) 4 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-45056)\/(-121344) + 1\/(-3)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 11*n - 5. Determine x(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 (base 5) in base 13?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 2.2. Let c = 15 - 15.3. What is the third biggest value in 0.4, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/9660 and 59\/506.\nAnswer: 106260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmsm when four letters picked without replacement from {m: 5, s: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + (1 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -226775 (base 9) in base 7?\nAnswer: -1105112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 19*f + 364 = 0, 946830*v = 946832*v - 2*f + 36 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 22*u**3. Let p be c(1). Let r = p - 19. Let g(w) = w**r + 5*w + 5*w + 0*w - 7 - 4*w + 7*w**2. What is g(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or -0.177715?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 12:38 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-28)\/70 + (-12)\/(-55)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92249.2 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.236 + 0.256. Let g = z + 65.78. What is g rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c - 18 + 18)*((-4 + 3 + 3)*(-c**2 + c**4 + c**2) + 1 - 1 + 7*c**4).\nAnswer: -99*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -142007 <= 306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -224, 4, -6 in descending order.\nAnswer: 4, -6, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192 - 50. Let z(r) = -154*r - a*r + 42*r. Let v(j) = -2*j. What is v(z(w))?\nAnswer: 508*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 + 4*r**2 - 20*r**2.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s - 85. Suppose 3*x - u - s = -5*u, 3 = -3*u. Calculate the remainder when 11 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-75)\/(-27) + 6\/27. Suppose x*w = -2*a + 21, -a + 0*a = -5*w + 35. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*o + 16 = 0, o = 6*b - 4*b - 8. Suppose b*c = 2*c - 68. Let v = c - -48. Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*z = 6*q - 9, 4*z - 4 = 0. Are 1\/1083 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.083 + -0.083. Let n = 98.3 + -94. Let j = n + -1.3. Sort -4, a, j in descending order.\nAnswer: a, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*h - 318086556, -80390703 - 46843907 = 2*h + 5*b. Let o = h + 89700401741\/1410. Let q = -1\/1410 - o. Is 4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 5*l - 4. Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40299 - 40261. Suppose 379 = 4*r - 1457. Suppose 3*b - 5*h = 348, 4*b + h - 6*h = r. Calculate the remainder when b is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 9, b: 1, a: 1, x: 1, h: 1}. Give prob of picking 1 q and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 + -282 + -18 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/24 and -149\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28845 (base 12) in base 14?\nAnswer: -1683b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 12 = 0. Suppose -2*i + p*i - 91 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 1 - 1)*(-3*k - 3*k + 2*k)*(2*k**3 - k**2 + k**2 + (-3*k**2 + 3*k**2 - 2*k**2)*(k + 2*k - 2*k) + 6*k**3 - 2*k**3 - 10*k**3).\nAnswer: -264*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12*n**2 - 27*n + 4. What is l(-4)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90749 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5 + 3 + 4 - 6 + 1 + 3 - 5 + (-4 + 1 + 2)*(2 + 0 - 3) - 2 + 3 - 3 - 1 + 0 + 0 - 1 + 3 + 0)*(1 + 7 + 0)*(-4*m - 7*m + 0*m).\nAnswer: 88*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 783225, 783226, 783227, 783228?\nAnswer: 783229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2408, 93, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12125*y**4 - 13551*y**3 + 144820722*y**2 wrt y?\nAnswer: 291000*y - 81306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 1023*m**2 - 6247*m + 429. Calculate p(347).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 5*b)*(55 - 55 - 8*b).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 973, 4010, 9069, 16150, 25253?\n\"Answer: 1011*l**2 + 4*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.36993 rounded to one dp?\nAnswer: 118.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:13 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 37\nAnswer: 18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 36. Let l = 18.1 - u. Are -3.7 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -19*c**2 + c + 12. Let l(h) = 10*h**2. What is i(l(d))?\nAnswer: -1900*d**4 + 10*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-4)\/54)\/(84\/36).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-14) + ((-636)\/(-84) - 7). Suppose -2*i - 1609 = 4*d + i, o = -d + 3*i - 391. What is d rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 3. Let u(y) = y - 1. Let j(f) = 3*u(f) - w(f). Let m(x) = 4*x + 1. Suppose -l - 5*h - 6 = 9, 0 = -5*l + 3*h - 19. Give l*j(i) + m(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 18 = -2*b, j - 4*b = -8. Let x be (-3 - (-2)\/j)*12. Let r = x - -59. What is the remainder when 49 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/31484591 and 75\/1658.\nAnswer: 62969182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 76. Find the second derivative of 3*q - 4443*q**5 + 4444*q**5 - s*q**3 + 4 + 31*q**3 wrt q.\nAnswer: 20*q**3 + 156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:15 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 4\/7, 1\/5, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/240 - c**5\/15 + 5*c**4\/48 + c**3\/2 - 5*c**2 - 10*c - 1. Let x(t) be the second derivative of h(t). Factor x(i).\nAnswer: (i - 5)*(3*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 24*l - 5. Let d be i(5). Suppose 26*u - 27*u + 309 = d. List the prime factors of u.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-1 + -3 + sqrt(605) - (1 + sqrt(605) + 3)**2 - 2*sqrt(40)\/(sqrt(24)\/sqrt(192)).\nAnswer: -624 - 104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (335\/(-67))\/(-5)*23*-1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.18 + 58.82. Let x = -59.99999818 + h. Round x to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/8 + 6723*s\/8 - 6747.\nAnswer: 3*(s - 8)*(s + 2249)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (4 + 5 - 17) - (55 - 12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/1322607 and -43\/21581.\nAnswer: 9258249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 2*t = -8, -2*y - 2*t = -4. Is (y\/(-2) - 0)*-7 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2*t. Let c(z) = -49*z**2 + 7*z - 4*z + 27*z**2 + 21*z**2. Give 2*c(r) - 3*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.003359ng?\nAnswer: 0.000000000007003359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*s - j, 3*s + 15*j - 6 = 12*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(1 - -1). What is the biggest value in x, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 13*r - 3. Let k be l(-13). Let d be 1*(k + 0 + 8). Let h = -533 - -537. What is the third biggest value in 0.5, d, 0.2, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 18. Suppose 3*t - o = 6*t. Is 8\/(-10)*85\/t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13330134 (base 5) in base 11?\nAnswer: 93444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -6*s + 86. What is the remainder when s is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610435287 divided by 12457863?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48636 divided by 42\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 7 - 15. Suppose 68*x = 66*x + 60. What is the lowest common multiple of k and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6668*m + 3 + 0 - 4662*m - 3 + 2.\nAnswer: 2006*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {b: 1, q: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 8*a + 10 = 0, -i + a = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 46. Let v be n(7). Let p be 12\/3 - v*2. Suppose p - 208 = -7*t. What is the remainder when 89 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18226 at least as big as -13\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-397)\/(-377547)*317)\/((-1)\/270*-2*1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -351, -928, -1759, -2838, -4159, -5716, -7503?\nAnswer: -9514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhmh when four letters picked without replacement from {m: 3, h: 15}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-21))\/((-10656)\/(-8288)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108747955 at most -108747955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u - 31. Let k be w(-4). Let o(f) = 6*f + 78. Let p be o(k). Calculate the highest common factor of p and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17131101 and 0.4.\nAnswer: 17131101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4953, -19805, -44561, -79221, -123785?\n\"Answer: -4952*s**2 + 4*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sffllfzfhf. What is prob of picking 1 z and 2 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 3 - 55)*(3*t - 2*t - 3*t) + 0 + 0 - t - 5*t + t + 2*t + (0*t + t - 3*t)*(3 - 6 + 4) - t - 2 + 2 + t - 5*t + 3*t.\nAnswer: 243*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + v = -2, 5*v = 4*n + 29 - 39. Solve 5*o + 5*k + 0*k - 20 = n, k - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5267.2 take away 19573.7?\nAnswer: -24840.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 42*q - 16. Let w be 9\/q - 20\/80. Suppose w*k = -c + 85, k - c - c - 30 = 0. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.01, -2, 253, -2\/9 in decreasing order.\nAnswer: 253, 11, 0.01, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 66*z**2 + 259*z + 69. Does 23 divide g(76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 12*o - 12 = 0. Solve 2*z - o + 11 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 1 v when three letters picked without replacement from {j: 3, q: 8, v: 3, i: 1, l: 4}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60 - 66 - 64*p + 60*p + 0*p + 2*p - 3*p + 0*p + 3*p - 2*p + (2*p + 0*p - 3*p)*(-4 - 1 + 3).\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18441, -38104, -70875, -116754, -175741, -247836, -333039?\nAnswer: -431350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12660110 by -106.\nAnswer: -119435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504046 (base 8) to base 14.\nAnswer: 4467c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*b**2 + 4*b - 176*b**3 + 6*b**2 - 14*b**2 wrt b?\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*f + 150, 3*f - 3*c - 12 = 114. Let k be 25\/f + 2\/(-9). Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 6*k + 2*k)*(k - 4*k + 0*k) - 2*k**2 + 0*k**2 + 0*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 0*a - 10 + 20*a**2 - 2*a - 28*a**2. Let b be o(-8). Solve -10 = 4*z + b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 8 (b) -1.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2365\/(-2838)*(-66)\/10. Let b(n) be the first derivative of -28*n + i*n**2 - 16. Differentiate b(w) with respect to w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9452, -37953, -85454, -151955, -237456, -341957?\n\"Answer: -9500*y**2 - y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*r + 0*x = 3*x - 5, -138*x + 141*x - 13 = 7*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and -59\/7635.\nAnswer: 15270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = x - 6*x - 23, -17 = -4*d + 3*x. Let l(v) = -v**2 + 15*v - 2. Let i(o) = -4*o**2 + 61*o - 9. Calculate d*i(q) - 9*l(q).\nAnswer: q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:52 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17738, 0.21, -8.4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41\/2 + 21. Put 4, 0.3, g, -1 in ascending order.\nAnswer: -1, 0.3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s. Let u be r(-2). Let v = -1 + u. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2\/7 + 40095*u\/7 - 126088812\/7 = 0.\nAnswer: -15993, 2628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + 0. Let s = u - 88. Let g = -39.00017 - s. What is g rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and (1 - 0) + (-58)\/40?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/2 (b) -5 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10387981, 41551932, 93491857, 166207762, 259699653, 373967536, 509011417?\n\"Answer: u**3 + 10387981*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/4 (b) 0.6 (c) -1 (d) 3\/59 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - t - 5 = -0*c, -3*t = -12. Suppose 0 = -c*x + 12. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((37\/((-555)\/(-20)))\/(32\/30))?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113402 (base 6) to base 2.\nAnswer: -10011010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 704\/261 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22187*a**3 - 11096*a**3 - 11090*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452933668.\nAnswer: 2, 11, 67, 153641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4607*t + 935275. What is h(-203)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -133, -188, -237, -274, -293, -288?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 - 2. Let g = 2 - t. Let c be (g\/10)\/((-4)\/(-16)). Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfcffffyhfhyyxxc. Give prob of picking 1 c and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*f**4 - 10 - 1126*f**2 + 1075*f**3 + 4*f**4 - 1077*f**3 + 6 - 2*f to the form h*f**4 + b*f + c*f**3 + a + y*f**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -367978 greater than or equal to -367954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/33 and (-42)\/189 + 0 + 166\/(-36)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 9*l - 13. Calculate m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:30 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 - 123 - (-3 + 39).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let v(y) = 229*y**2 - 122*y**2 + 342*y**2 + 416*y**2 - 283*y**2. Determine j(v(k)).\nAnswer: 677448*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.457 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 198 = -4*u + 3*p, -105 = -2*u - 3*p. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/4, 2, 0.3, 2\/11, 12.09, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.7756 millimeters in nanometers?\nAnswer: 957775600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 545232 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 547, 1807, 4237, 8221, 14143?\n\"Answer: 64*v**3 + 9*v**2 - v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, k: 1, f: 3, v: 4, t: 4, a: 2}. What is prob of sequence kt?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (-1*sqrt(117) - sqrt(117) - sqrt(117)))*-4)\/(sqrt(36) - sqrt(36)*-1).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1045\/(-77) - -8) + -4 + 10\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-13)\/(-468))\/((-25)\/(675\/6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uebzuzubuueeubeuey. Give prob of picking 2 z.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/120 - 4*b**5\/15 - 2*b**4\/3 - 11*b**3\/6 - 8*b**2. Let y be t(-15). Sort -4, y, 3.\nAnswer: -4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 75*t**2 + 147*t + 73.\nAnswer: (t + 1)**2*(t + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/88*24\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26672 is divided by 8853.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0 + 0)*(2 - 2 + 2)*(112*w + 143*w - 312*w) - 24*w - 18*w**2 + 24*w.\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 113?\nAnswer: -13\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.18 - 8.17. Let n = 4 + r. Let u = 0.00999896 - n. What is u rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 + c**4\/4 - c**3 - 3*c**2 + 5*c. Let s be p(-4). Let u be (-3)\/(-9)*3 + 3. Sort u, -2, s.\nAnswer: -2, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvd when four letters picked without replacement from {t: 4, v: 3, b: 1, d: 7, m: 3}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 152 - 23*l**3 + 2*l**2 + l**4 + 147 - 298 as w*l**4 + i*l**3 + f*l**2 + a + z*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12331 + 43?\nAnswer: -12244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29942 + -5.3\nAnswer: -29947.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j - 17\/6*j**3 + 0 + 1\/8*j**4 + 11\/30*j**5 - 34*j**2 - 1\/120*j**6. Does 9 divide i(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20489*m**3 + m**2 - 39*m - 57 wrt m?\nAnswer: -122934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34200 + 4?\nAnswer: -34174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*-3*585\/1404\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97051, -97531, -98339, -99481, -100963, -102791, -104971, -107509?\nAnswer: -110411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*y**4 - 2692*y**3 + 2812*y**2 + 10768*y - 10864 = 0. What is y?\nAnswer: -679\/6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36607 divided by -3?\nAnswer: 36607\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1\/17, 0.08, 0.5, -2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:20 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*i + 10 = -0*f, -3*f - 6 = 3*i. Calculate the lowest common multiple of (f - 6)*(-9)\/6 and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fjjjjfj.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192 + 190. Let t be g\/(-6)*14\/7. Factor -t*q + 8\/9 - 2\/9*q**2.\nAnswer: -2*(q - 1)*(q + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -234 + 8963?\nAnswer: 872b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, and 2 e when four letters picked without replacement from {j: 1, s: 3, e: 2, l: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6890.5 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10612.\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -46127608 and -46127629 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3\/5 + 8541164*o**2\/5 + 324568564*o\/5 + 3083415076\/5 = 0. Calculate o.\nAnswer: -19, 2135329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 - 395*n - 7590 = 0. What is n?\nAnswer: -46, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2387 + -0.1387. Which is bigger: h or -2233?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 0.048 (c) -229 (d) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)\/sqrt(2)))\/(sqrt(12) + sqrt(12) + sqrt(24)\/sqrt(2) + sqrt(12)) + 3 + (sqrt(32)\/sqrt(2))\/sqrt(8) + -1.\nAnswer: 9*sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqzz when four letters picked without replacement from zzxzqzzwxzyqqqqqq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h. Let f(s) be the first derivative of -20*s**2 - 2*s + 239. Give q(f(o)).\nAnswer: -120*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123513 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 18 + 1163*o + 22.\nAnswer: 1163*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34892 and 80652?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -11*v**6\/120 - 31*v**5\/60 + v**2 + 6. Let q(p) be the second derivative of o(p). What is the third derivative of q(k) wrt k?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1234805, -2 in increasing order.\nAnswer: -1234805, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*y**3 + 67*s - 3*y**3 + 3*y - 1 wrt y.\nAnswer: -3*s*y**2 - 9*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/365, -1, 0.5 in descending order.\nAnswer: 3, 0.5, 2\/365, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 25*k - 42. Let q = 10614 - 10588. Give s(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1939765011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26759 - 0.280531. Round l to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = -15. Which is the biggest value? (a) 4 (b) 2\/9 (c) 0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9 - 4\/9*s - 2\/9*s**2.\nAnswer: -2*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93678*i - 24 + 29068*i + 24)*(-5 + 3 + 3)*(2*i - 2 + 2).\nAnswer: -129220*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 86 = 26. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4*s**3 - 108996703*i**2*s**3 + 471*i*s**3 + 4*i*s**2 - 53*i*s + 2*i - 30*s**3 - s wrt i?\nAnswer: 24*i**2*s**3 - 217993406*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/((-11)\/6) + 0\/(-2). Is 13 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 185531 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86363795 - -86363551.0000635. Let t = -244 - m. Round t to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 389 or -13295?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 264*u**4 - 30831*u**3 + 25526487 wrt u.\nAnswer: 1056*u**3 - 92493*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 6*z - 1. Let g be u(5). Let f(x) = -x**2 + 3. Let m(a) = -6 + a - 1 - 3*a + 2*a**2 + 3*a. Let w(n) = -7*f(n) - 3*m(n). Determine w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/35 and -19\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from aahaahahlwhalaammh?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*t - 86, 5*t + 44 = -x + 9. Let f = x + 89. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a - 4. Let h(k) = -147*k + 783. Calculate h(l) + 9*t(l).\nAnswer: 6*l + 747","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*h + 4*h - 80, 85 = 3*p - 5*h. Let v be (5\/p)\/(3\/24). Let w = v - 2. Solve w = -3*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/30 + 5*j**2. Let s(m) = 10*m. What is g(s(f))?\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 23941990*p**3 - 23941992*p**3 + 0*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24052 rounded to 3 decimal places?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 99\/(-22) + (-3)\/(-2). Calculate the smallest common multiple of 18 - 3*(-2)\/q and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:25 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-275))\/((-1)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4985016 bigger than -4985014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 6. Let u be r(9). Let y(s) = -s. Let t(d) = -11*d + 11. Let c(p) = u*y(p) + t(p). Differentiate c(w) wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84585626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4124557*c*z**3 + 3724949*c*z wrt z?\nAnswer: 24747342*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 91. Let q be n(-8). Let j = 25 - 21. Which is the third biggest value? (a) 3\/7 (b) q (c) j (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 2. Let p be (-22)\/a + 4\/2. What is the remainder when 1 + p - -2*21 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2967*z - 14626. What is u(-5)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110860718 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 + 113. Let n = -90 - z. What are the prime factors of (-476)\/(-6) + 52\/n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-280)\/6)\/(-5)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1843)\/(-4788) - (-1)\/4 and 39\/49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -10, -29, -56, -91, -134?\n\"Answer: -4*h**2 + h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/19 (b) 5 (c) -21\/4 (d) -3\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/591072 and 85\/591072.\nAnswer: 591072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 1, 40, -3 in decreasing order.\nAnswer: 40, 8, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491536.9 millilitres to litres.\nAnswer: 491.5369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let r(o) = 2. Let d = -8 - -11. Let j(n) = 3 - 1 - n + d. Let g(u) = -2*j(u) + 5*r(u). What is w(g(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m - m + 4*m)*(361*m + 1038*m - 2626*m + (0 + 0 - 3*m)*(1 - 2 + 3))*(-1 + 1 + 3).\nAnswer: 11097*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Let v = -11 + 16. Suppose 6*z = z + 2*k + 11, v*k - 25 = -5*z. Solve 0 = -z*f, -3*f = -w + c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:17 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/19 + 7628*b\/19 + 42666720\/19.\nAnswer: -2*(b - 6904)*(b + 3090)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 2 - (126 - 125).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 9525.21434992.\nAnswer: 9525.61434992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2\/21*c**3 - 17\/7*c**2 - 32 + 32\/7*c. Let q(i) = 0. What is i?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 = -v, 2*z + 4*v + 12 = 4. Let b(d) be the first derivative of 5 - 1\/4*d**3 + z*d**2 + 3\/4*d. Factor b(a).\nAnswer: -3*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133918.605 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 0) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 55*j + 171. Let d be p(-16). Sort 5, d, 3, -5.\nAnswer: d, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/4*0\/15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose -4*m - 7 = -r - 0*r, 0 = -4*m + n*r - 13. Let z = 1 + m. Solve 0*j - 5*j - 10 = 5*w, -w - 2*j - 4 = z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453756529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 142129 = -d - 142178, 0 = 5*m - 2*d + 280 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 45 = -3*w, -12*m - 454433 + 454430 = -3*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187465*x + 480 = -187435*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9293 (base 12) to base 14\nAnswer: 5b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -89*d**2 - 2*d + 2. Let u(r) = 177*r**2 + 5*r - 5. Give -5*i(v) - 2*u(v).\nAnswer: 91*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 2. Let g(d) be the second derivative of 40*d**3\/3 + 55*d**2\/2 + d + 9. Calculate -2*g(z) + 55*x(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 - 2 + (3 + 3 - 5)*(0 - 2 + 0) + 0 + 1 + 1)*(1 - 5 + 1)*(-6*j - j + 0*j) to the form c*j + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.31024 meters in micrometers?\nAnswer: 35310240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t. Let x(n) = n + 2. Let h(a) = 6. Let j(m) = 5*h(m) - 15*x(m). What is j(o(p))?\nAnswer: -90*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16428 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64497 is divided by 32238?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4734))\/((-2)\/68511). Let y = n + -84\/263. Calculate the common denominator of 115\/6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 10*l + 8. Let u = 314 + -306. Let z(p) = -1. Calculate u*z(d) + g(d).\nAnswer: -2*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10249590 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -48618*s**2 - 2*s - 48588*s**2 + 97291*s**2 in the form a*s + w*s**2 + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**3 - 47*n**3 + 16*n**3)*(2*n - 8*n - n).\nAnswer: 273*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:15 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666464, 1332925, 1999386?\nAnswer: 2665847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 195, -1\/8, 3 in increasing order.\nAnswer: -5, -1\/8, 3, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8222, 8130, 8038, 7946?\nAnswer: 7854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*q + 16, 0 = -5*z + 4*z + 5*q + 20. Suppose -s + 4*i + 31 = z, 36 = -s + 3*s + 5*i. What is the greatest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1919658.34 to the nearest one thousand.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 - x + 1. Let o(m) = 10*m**3 - 4*m**2 + 4*m - 3. Let w(f) = -o(f) - 4*u(f). What is the derivative of w(y) wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -47006687844?\nAnswer: 47006687845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 149464204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 = -3*l - 3*j, 4 = 2*j. Suppose -o - l*o + 119 = 2*s, -4*o - 2*s + 96 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 274\/5. Which is the third smallest value? (a) r (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23314110 (base 5) to base 4.\nAnswer: 310022113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7249? (a) -3 (b) -7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-1 + 23 + -65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 9*b + 7*b + 17 = 0, -8*r = -4*b - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1. Let r(k) = k - 4. Let a(l) = 4*b(l) + r(l). Suppose -4*i + i = 0. Let t(x) = i*x**2 - x**2 + 0*x**2. Calculate t(a(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1092? (a) 2\/11 (b) 2 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7, t: 1, m: 12}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/22 + 46\/11. Suppose -l = 6*i - 8*i. Let f(w) = w + 2. Let x(n) be the third derivative of -n**4\/6 - 3*n**3\/2 + 25*n**2. Calculate i*x(j) + 9*f(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-20 - (-21 - 10))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dni when three letters picked without replacement from iddgiinmiiigisid.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 9. Let y = -27 + 82\/3. Let d = 6407\/17 + -377. What is the third biggest value in y, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 73266?\nAnswer: -73274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-30912)*-138)\/((27\/(-10))\/(36\/165)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -232177*l + 12. Let n(t) = t. What is f(n(v))?\nAnswer: -232177*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 309\/5. Let h = -9940\/9 - -1104. Which is the closest to 0? (a) h (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h. Let x(v) = 10*v + 144973. Calculate k(x(t)).\nAnswer: -70*t - 1014811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**(3\/7))\/m)\/(m**(-24)\/m)*(m**1)**(3\/8) assuming m is positive.\nAnswer: m**(1557\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -196, -186, -138, -34, 144, 414, 794?\n\"Answer: 3*t**3 + t**2 - 14*t - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -89*d + 22. Let n(v) = -8*v + 2. Let j(z) = 66*n(z) - 6*y(z). Let h(p) be the first derivative of -3 + 0*p + 0*p**2 + 10\/3*p**3. What is j(h(m))?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/243 or 16?\nAnswer: -1\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 40 + 57 = 4*k, -3*r = -k + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 6, -1\/10, -12, -0.05, -1745\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1922 + -770. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.4142 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 5*i + 1. Let n be f(-5). Let q = 86 - 64. Put n, q, -3, 2 in ascending order.\nAnswer: -3, n, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(-19040)\/(-1785)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9 and -31\/2464.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.940109 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7295084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 8*d + 0*d)*(-3 + 3 - 2*d + (2 + 3 - 3)*(0*d - 3*d + 2*d) + d - d - d - 3*d + 4*d + d - 4*d + d + d + 1 - 2*d - 1 + d + 3*d - 2*d).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(1 - 11). Let k(v) = 12*v + 21. Let j be k(11). Suppose q*u = j + 162. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809093786.\nAnswer: 2, 3, 301515631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**3 - 5*z**3 + z**5 + (-8*z**5 + 13*z - 13*z)*(-1 + 4 - 5).\nAnswer: 17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7720 is divided by 1929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 10)*(-26 + 9 - 21)*(-5*j + 4*j + 2*j).\nAnswer: 380*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 smaller than -19834\/279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.5 (c) 161 (d) 0.4 (e) -2090 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35313 is divided by 2425?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*o**5 + 7*o**4*u + 192*o*u wrt o.\nAnswer: 520*o**3 + 84*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**3 + h - 1. Let j be s(1). Let w be (-11 - -15)*2\/j. Let t(z) = 8*z + 1. Let n be t(w). Which is smaller: n or 10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + (-188)\/16 + 3\/4. Let d(k) = 3. Let z(u) = u + 13. What is c*z(o) + 9*d(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-2001\nAnswer: -400.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70611330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 0. Let d = -632\/21 - -213\/7. Factor q - d*r - 1\/3*r**2.\nAnswer: -r*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/86 and -49\/434171?\nAnswer: 868342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661056?\nAnswer: 2, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/621, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**2 - 6*a + 17. Let o(d) = 2*d - 3. Give -3*c(k) + 7*o(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11 + -4)*(560\/6)\/(-8) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102977.39+-21\nAnswer: 102956.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 22. Suppose 3*g + 4*f + 20 = -j*f, -f = g + 5. Which is greater: -0.09 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 61. Suppose 4*x + h = 3*x. Let v = -29 - x. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 134*j**2 + j + 2*j**3 + 138*j**2 to the form h*j**2 + w*j**3 + l*j + b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2419024?\nAnswer: 2, 151189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2034390 and -55\/24?\nAnswer: 8137560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**3\/3 + s**2 + 293*s + 45. Let z(m) = m**2 + 5*m. Let x be z(-5). Is q(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let f(s) = 314*s**2 + 6*s + 46. Let o(n) = -n**2 - n - 8. Let g(x) = f(x) + 6*o(x). Give g(c(y)).\nAnswer: 308*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -8960 - -15616. Calculate the highest common divisor of 624 and n.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10051629 to four dps.\nAnswer: -1.1005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -12, -24, -40, -60?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 789 by -37.\nAnswer: -789\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 3*p**2 + 3. Let v be l(-3). Differentiate v - 5*h**3 - 4 + 3*h**3 + 0*h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5533 (base 8) to base 13.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 349, 780, 1363, 2086, 2937?\nAnswer: 3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -27, -184, 3, -11 in decreasing order.\nAnswer: 3, -2, -11, -27, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 1 + 4. What is the derivative of 16*m**2 - 3 - t - 20*m**2 wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s - 4. Let z(a) = -a**3 + 27*a**2 - 36*a - 1281. Let l be z(23). Let j(d) = 22*d - 8. What is l*o(k) - 3*j(k)?\nAnswer: 11*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x + 38 = 4*k, -x + 2 = -2*k. Let q be (-24)\/20*x\/(-18). Factor q*w + 0 - 2\/5*w**2.\nAnswer: -2*w*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b89a34 (base 12) in base 10?\nAnswer: 14864008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hphhpfppfppff. Give prob of picking 3 f.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b**2 - b. Let l be n(-2). Suppose -238 = -16*y + 226. Factor -60*t**5 - 72*t**2 - 24*t**4 + y*t**5 - l*t**3 + 28*t**5 - 27*t.\nAnswer: -3*t*(t + 1)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {x: 1, n: 10, o: 7}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiuuxxuiuu. What is prob of sequence uxu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 10 = -28*t. Suppose 5*j + 3 = 8, -t*x + 3*j + 17 = 0. Let p(l) = 10*l - 4. Is 9 a factor of p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, r: 3, j: 1}. Give prob of picking 1 j and 1 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 = -9*n + 15. Let k be 4\/(-18 - -2)*-4. Suppose p + 4*m + k = 0, -3*p = -0*p + 3*m - 24. What is the greatest common divisor of p and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 - -1.6. Which is the closest to -1\/4? (a) 3 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -11*x**2\/8 - 97*x\/4 + 9 = 0?\nAnswer: -18, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911 = 247*f - 170 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -619 + 621. Which is the nearest to 0.1? (a) 0.5 (b) 5\/3 (c) -3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*t**3 - 2108696*t**2 + 361573698*t.\nAnswer: -492*t - 4217392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.3 in 41234, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750539 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*c - 637 - 8219 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4634\/19 - -244. Let l = -7.4 + 8. Let u = l - 0.5. Sort u, v, 0.4 in decreasing order.\nAnswer: 0.4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136 - -136)\/(-1 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 - (-4 + 3 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -816.6 + 816.5. Suppose -8*z + 25 = -3*z. What is the smallest value in 1, 0, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 3*n**2 + 4*n - 1. What is s(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*k, k = -2*c + 25 + 10. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o + 12 = 0. Let j(f) = 13*f**3 + 2*f + 5. Let y(r) = 12*r**3 + 2*r + 4. Let n(g) = o*j(g) + 5*y(g). Find the second derivative of n(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 - q + 13. Let x be 18\/(-4)*(0 - 2). Let k be a(x). Suppose 3*h = -k*t + 327, 423 = -2*h + 6*h + t. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*z - 68066 + 68030, p = -z + 9 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Suppose -3*q + q + 142 = -4*o, 4*q + 4 = 0. Let u = 40 + o. Sort s, -1, u.\nAnswer: s, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 108.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 + 4. Suppose 5*t = -4*o - 40, -7*o + 5*t = -3*o. Let x be -2 - (o + 10)*-1. Let s(n) = 6*n**2 + 5. Determine x*s(j) - 4*v(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -3*x + 2*r, 0 = 2*x - r + 6*r - 142. Suppose 3*d - x - 19 = 0. Find the second derivative of -d*l + 21*l**2 + 37 - 37 - 10*l wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 13*u**2 + 2*u + 14. Calculate y(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5266412 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -30 - (-26 + 1) - (1205 + -1303).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.5 - -15.3. Which is the second smallest value? (a) -20 (b) f (c) 1 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 22\/4*1040\/286.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56693510 = -3*n + 3*x + 16080715, 0 = -n + 4*x + 24258069. Let k = n + -54858077. Round k to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, 1, -5 in descending order.\nAnswer: 26, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8437396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 + 2411160?\nAnswer: 2411042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:43 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2547, -13260, -31113, -56106, -88239, -127512, -173925?\nAnswer: -227478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*j**3 - 109\/2*j**2 + 0 + 219\/4*j = 0. What is j?\nAnswer: -219, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101112202110 - -1?\nAnswer: -20101112202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 323\/14 + ((-3914)\/(-4788) - 40\/45)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/3))\/g)\/g*g)**2 assuming g is positive.\nAnswer: g**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 5*sqrt(121)*3)\/(sqrt(1331)*-1).\nAnswer: -16*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323244*u**4 - 3713*u**2 + 4*u - 2 wrt u?\nAnswer: -7757856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 40, 87, 5.5 in decreasing order.\nAnswer: 87, 40, 5.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724, -1015, -1442, -2005?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1220643\/1248940 + 2\/28385. Find the common denominator of b and 375\/(-36) - (-6)\/(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m*m\/m**1)\/m)*m)\/m))**10*m**4*m**(-1\/4) assuming m is positive.\nAnswer: m**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*f**4\/5 + 862*f**3\/5 + 2814*f**2\/5 + 538*f + 150 = 0. Calculate f.\nAnswer: -5\/3, -1, -1\/2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27859)\/10715*(-1)\/13.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41941.\nAnswer: 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14639929468 and 5.\nAnswer: 14639929473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 6 (b) -1\/5 (c) -2\/7 (d) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1038356553 - 281660832. Let k = 756695677.9999981 - q. Let z = 43 + k. Round z to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -11010010001?\nAnswer: 11001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-14*9\/(-252)). Factor g**3 + 3\/2*g**x - 1\/2*g**4 - 2*g - 2.\nAnswer: -(g - 2)**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 223*q + 454*q - 232*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - -12010255?\nAnswer: 12010336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/((10025\/1203)\/((-140)\/(-48))).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2. Let k(u) be the first derivative of -43*u**6\/360 - 5*u**3 - 25. Let p(l) be the third derivative of k(l). Calculate p(d(b)).\nAnswer: -43*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*s - 6 = -0, 2*s = -q - 2. Let y = 2.05 + -0.05. Let u be 1 - 6*(-4)\/(-18). Which is the nearest to u? (a) y (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35100 and 25?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930785 is divided by 930781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 12*k**2 + 17*k + 9. Determine z(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 156*m - 1522. Give y(71).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = -2*x - 104, -18*u + 17 = x - 21*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 - 19*m + 60. Determine q(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768655359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -2*g + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2249*g + 2250*g - 5*i, -5*g = -2*i - 42 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2942.886 millimeters in centimeters?\nAnswer: 294.2886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0 - 4*z + 3*z + 2*z - 2. Suppose 3 = -5*m + 18. Let f be x(m). Let y(s) = s**2 - s. Give y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 4*r**2 + 2*r**2 + 3*r**3 + 3 - 4 in the form u*r**3 + x*r**2 + p + k*r and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-57874)\/(-76))\/(18\/360)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20483798*i - 10241895*i - 10241903*i - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a + 0*a**4 + 17\/120*a**6 + 0*a**3 + 0 - 1\/15*a**5 - 97*a**2. What is the third derivative of o(x) wrt x?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2402024*s = -2402023*s - 4*b - 279, -3*s = -3*b - 207 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 609*p**2 - 159*p - 231. Let t(g) = -122*g**2 + 32*g + 47. Let c(r) = 5*j(r) + 24*t(r). Let f(q) = -9*q**2 + 2*q + 2. Determine -2*c(x) - 27*f(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - a**3 + 0*a**3 - 2*a**3 + 4*a**3 - 3*a**3 + (3 + a - 3)*(0 - a**2 + 0) - 475*a**3 - 263*a**3 + 553*a**3.\nAnswer: -188*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 385951043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 12 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvg when three letters picked without replacement from vvgggggllgggg?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68476 is divided by 2232?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 55) + -445 + 382.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423820 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 2. Let m be 2*-27*3\/(-6). Let b be m\/4 + (-5)\/(-20). Let i be n(b). Sort 3, i, 4 in descending order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 888*v**3 - 23*v**2 - 120*v + 35. Let n be d(-9). What is n rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03573518 - 0.0356. Round u to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(3 + 0 - 4)*(318 - 913 - 377)*(-4*u + 5*u - 2*u) as i + o*u and give o.\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5592, 4, 12, -3, -2 in decreasing order.\nAnswer: 5592, 12, 7, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 0.04 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72.6482969 + 0.24949\nAnswer: -72.3988069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 5 - 5)*((-4 + 3 + 4)*(2 + 2*v - 2) + 4*v - 6*v + 0*v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*q - 10, 3*q - 8*q - 10 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121 times 28083?\nAnswer: -87647043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 252 = -159 + 105 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6414\/66 + -3 + (-330)\/(-33) + 79\/(-11).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5))**35*(c\/(c**(2\/3)\/c))**0 assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10301032 + -10?\nAnswer: 10301022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 351841631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*y**4 + 2 + 2 - 2 + 16*y - 108*y**4 to p*y**3 + q*y**4 + h*y**2 + o*y + m and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 622*s - 38 - 34 + 62. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*z + 2*h, 30 = 2*z - 5*h - 7. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 + -6\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.432945 minus 0.6?\nAnswer: -115.032945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -83553?\nAnswer: 5\/83553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2247 and -0.23?\nAnswer: 0.051681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**5 + 65*c**4 - 7868*c**3 + 127*c**2 - 81568*c wrt c.\nAnswer: -420*c**2 + 1560*c - 47208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + -6*sqrt(6)\/sqrt(2)))**2 + 3)*-1.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.3308 rounded to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20248*n**2*t*w + 1363*n**2*t + 6*n**2*w + 6069780*n**2 - 2*n*w + 2*w wrt t?\nAnswer: 20248*n**2*w + 1363*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20233120 - 3102?\nAnswer: 20230012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83.2303l?\nAnswer: 83230.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2 - 27*y + 107. Let x(b) = -3*b**2 + 8*b - 36. What is -2*d(r) - 7*x(r)?\nAnswer: r**2 - 2*r + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*g = -79, 0 = -5*x - 3*g + 29 + 86. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.08 (c) 4 (d) -0.1 (e) 11 (f) -10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**6\/45 - k**5\/15 - k**4\/18 + 7*k. Factor v(j).\nAnswer: -2*j**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.014 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 n when four letters picked without replacement from {m: 3, n: 3, z: 1, a: 1, x: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20\/87 + -3\/29. Let p = -118 - -122.04. Let g = p - 0.04. What is the closest to n in 0.5, 2, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1675304723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 7. Let t be f(-4). Which is greater: t or -3\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244741600 rounded to the nearest one million?\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(y - y + y) - 2*y + y - 3*y)*(-2 + 0 + 10).\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-19)*j*j\/(j\/j**(-25))*j*(j\/(j\/j**(-3\/5)))**(-35))**(-15) assuming j is positive.\nAnswer: j**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20840 = -2*r + s, -5*r + s = -52093. What is the units digit of 33\/12 - 3 - r\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03906 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13\/1)\/13)\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -31 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 8) to base 10\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a - 3 = 0. Suppose 4*f + a*m = 1, 6*m - 2 = -3*f + 4*m. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56522 is divided by 308.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/10 + h**4\/6 + h**3\/3 - 389*h. Let p(l) = -l**3. Determine -c(y) + p(y).\nAnswer: -3*y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 91660234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 10*k**2 - 8*k + 13. Suppose 0 = 3*h - 4*y + 43, 8*h - 4*h + 40 = y. What is l(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 4*r**2 + 11 - 2*r**2 - 10*r. List the prime factors of w(14).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 507, 5, 32, 4, 3 in descending order.\nAnswer: 507, 32, 5, 4, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + -141.1. Which is the nearest to p? (a) -1 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*t**5 - 201*t**5 + 16*t**5)*(-2 - 2 + 2).\nAnswer: 612*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w\/w**24)\/w*w)*w**25 assuming w is positive.\nAnswer: w**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 44 - 14 = 0. Let c be (23 - -1)*o\/15. Let p(t) = -t + 4*t - 6*t + 12. Give p(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 2*f**2 + 276 - 276 + 0*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 2. Let d be 7\/(-14)*(-2 + 0)*(24 - 25). Let l(w) = -w**2 - w. Determine d*u(c) - 2*l(c).\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299 + -316. Let z = -14.2 + -1.8. Let p = z - v. Which is the third smallest value? (a) p (b) -2 (c) 2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2007 = -501. Suppose -8*m + y + 206 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (-2 + sqrt(180) + 0)**2 + 3.\nAnswer: -24*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6241*d**3 - 27*d + 29?\nAnswer: 37446*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/25765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**3\/3 + 3*z**2 - 7. Find the second derivative of d(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2619558*j**3*p**2 + 48*j**3*p + 2*j**2*p + 14*j**2 - 44*j*p + 3*p wrt p?\nAnswer: -5239116*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313716 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24245.\nAnswer: 5, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 k when four letters picked without replacement from {g: 3, k: 13}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + s - 5. What is c(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31687*p + 31686*p - 3*i = -20, -20 = -4*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 97179.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4\/3 - 1720*l**3\/3 + 170108*l**2\/3 - 1272112*l.\nAnswer: -4*l*(l - 43)**2*(l + 516)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:21 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*j + 980 = -163*g - 69*j, j = 5*g + 29 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 - 24*h + 56*h**2 + 48*h - 26*h.\nAnswer: 40*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 4166113?\nAnswer: -4166106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24346 by 6.\nAnswer: 12173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and 100?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2)*f*f)**40\/(f**(1\/5))**(-2\/33) assuming f is positive.\nAnswer: f**(13202\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*y + 26 = -0*d, 0 = 4*d + 2*y - 20. Let l be 36\/(-5)*(6 + -17 + d). Calculate the greatest common factor of 90 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**41\/(s*(s*s**(-11))\/s) assuming s is positive.\nAnswer: s**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*u + 3*g = -208*u + 13, -16*u = g + 179 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 864\/(6 + -4) - (0 - -3). Let a = -426 + i. Solve 0 = -a*y + 3 - 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**2*g**3 + 13*c**2*g + 4302*c*g**3 + 5036*c*g**2 + 4*g**3 wrt g?\nAnswer: 36*c**2 + 25812*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116814 - -60814. What is g rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + z)*(-55 + 55 + 33*z) + 6*z**2 + 0*z**2 - 4*z**2.\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -4*o + 244. Let t = -39 - o. Calculate the least common multiple of t and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:08 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*y + n, -25*n = y - 27*n + 4. Let x(o) = o**3 - 7*o**2 - 7*o. Let j be x(8). Suppose 0 = -5*m - 47 - j. What is the nearest to m in y, 0.2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5 - 3 + 6*m**2 + 9*m - 12*m + 7*m. Calculate d(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2072589087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*x**4 + 1 + x**4 + 4*x - 4*x + (-19*x - 6*x**4 + 19*x)*(-2 + 2 - 1).\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134739 and 10888?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -257 (base 14) to base 6\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (8 - 3) - -1 - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68879, -69452, -70025, -70598?\nAnswer: -71171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0336280276 to 4 decimal places.\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 34, 0.03, -0.4, 3, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**3\/v))\/v**6*v\/v**(-4)*v**(-1\/2)*(v\/(v\/v**1)*v**(1\/7)\/v)\/(v**(-3)\/(v*v*v*v\/(v*v*v**(-1\/5)*v*v*v)*v*v)) assuming v is positive.\nAnswer: v**(129\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3.9. Let i be 1*-2*(-2 + 1). What is the nearest to c in -1\/3, 3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-4)\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11663713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1300 + 761. Let w = -535 - u. Solve w*s - 47 = -39 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*a**2*b + 16*a**2 + 3*a*b - 5*a + 2*b - 55 wrt a?\nAnswer: 172*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -23\/4, 5?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8501*a**5 - a**4 + 40*a**2 - 1482801*a wrt a?\nAnswer: 170020*a**3 - 12*a**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from ihihiii.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998674 is divided by 216?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 28 - 19. Suppose 0 = 5*u - 7 - 8. Suppose -4*c + 23 = u*n, 2*c + q*n = -2*n + 1. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18)*-3)\/((-44)\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51783, 103854, 155925, 207996?\n\"Answer: 52071*g - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 - 3 = 0. Find the common denominator of (b\/(-8))\/(30\/(-536)) and -22\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294709015 to the power of 1\/2, to the nearest integer?\nAnswer: 17167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0*m*m*m)\/(m*m**(-1\/6))*(m\/m**(1\/3))**(-28) assuming m is positive.\nAnswer: m**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 9) in base 10?\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34451 is divided by 2792?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -50684.\nAnswer: -50683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255 divided by -2.\nAnswer: 255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 1:10 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0235 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s - 2*b = 44, 3*b + 12 = 0. Let f(v) = v + 8. Let d be f(-6). Let h be d\/(-3)*s\/6. Put -1\/2, h, 1\/5 in descending order.\nAnswer: h, 1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -28*a + 366. Determine z(-31).\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -24, -99, 5 in ascending order.\nAnswer: -99, -24, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 1 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/37)\/(x**23*x))\/(x**10)**5 assuming x is positive.\nAnswer: x**(-2736\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrll when four letters picked without replacement from rrrrrllrllr?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/6 - 3*i**4\/4 - 10*i**3\/3 + 19*i**2. Let g(p) be the first derivative of s(p). Differentiate g(w) wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/7)*(p*p\/((p**3\/p)\/p)*p)\/p)\/((p*p**1)\/(p**(2\/13)\/p)))**(-5\/17) assuming p is positive.\nAnswer: p**(580\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + 6\/(2 + -3). Suppose -3*g - c*g = -654. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/9 + 20*y**3\/9 + 74*y**2\/9 + 40*y\/3 + 8.\nAnswer: 2*(y + 2)**2*(y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 7. Let r be l(-5). What are the prime factors of 33\/12 - (-2)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 4\/7, -67?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (38 - (-47 - -117)) + (136 - 9)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3 + 0 + 1 + f. Suppose 6*p - 2*p - 20 = 0. Let r be u(p). Let j(s) = -s + 2. What is j(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let j = 21 + 24. Let c(x) = 110*x - 45. Let z(h) = 10*h - 4. Let i(f) = j*z(f) - 4*c(f). Calculate s(i(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*p + 2511 - 2505, -2*p - t = 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.07269\nAnswer: -1.07269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**2 - 155*j + 5839. What is g(-48)?\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i. Let d be 0\/(-2)*(4 - 3). Let c(p) be the second derivative of d - p + 0*p**2 - 1\/3*p**3. Calculate u(c(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7337, 14758, 22179, 29600?\nAnswer: 37021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*n = 280, 0 = -7*n + 11*n + 16. Suppose -3*w = -4*b + 555, 7*w - 5*w = -b + c. Let p be (2\/1)\/12 + 391\/b. Let s(j) = -6*j - 2. Give s(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 619240 - -1?\nAnswer: 619241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1938?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6324 divided by 6.\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6112199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2902891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -9 - (0 + -7 + 69 + -65)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2501 = 94*h + 410 + 23 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600067*m = -600027*m + 1160 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 3 - 4)*(13*a - 2*a**4 - 13*a).\nAnswer: 6*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 259049783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21757.443 microseconds?\nAnswer: 0.00036262405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -660, -651, -636, -609, -564, -495, -396, -261?\n\"Answer: a**3 - 3*a**2 + 11*a - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.62 and -0.7.\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssmmmmos. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m**2 - 55 + 23 + 30 in the form i*m + k + z*m**2 and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 63*h + 1. Calculate d(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 621\/(-1449)*8\/6.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445882414 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10643.7 to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 219625217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/13 + 11394*m**4\/13 + 18972450*m**3\/13 + 753533350*m**2 - 2273758500*m = 0 for m.\nAnswer: -3230, -1235, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3738384?\nAnswer: 2, 3, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:10 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-40)*-2*(-30)\/40. Determine l, given that 9\/5*l**4 - 6\/5*l**2 - p*l**5 + 9\/5*l - 3\/5 - 6\/5*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6852, -46, 5, -2, -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 554103\nAnswer: -221641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 7*t - 6. Determine c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 700 = -2*o. Let i be (-1338)\/(-21) + (-20)\/o. Suppose g + i = 5*g. Does g = 76\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64170?\nAnswer: 2, 3, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11700 + 1637973\/140. What is the common denominator of 37\/6 and g?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1986*d + 1821*d - 3834*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**5 - 37*u**2\/2 - 1831*u + 2755. Find the first derivative of m(c) wrt c.\nAnswer: -20*c**3 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*b + 2, h + 48 = 3*b + 57 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21536035?\nAnswer: 5, 37, 116411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecccmcem. What is prob of picking 1 e and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w, 2*q - 55*w = -56*w + 10. Solve -v - 2*s - q = 0, -3*v + 9 = -2*s - 2*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 26 = -18. Is 5*37*100\/125 + d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - (13 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87503 - -87512.8914. Let r = 1.87 - 11.77. Let n = r + p. Round n to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 3, y: 1, i: 1, o: 3, d: 5}. What is prob of sequence tdy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a + 20. Give h(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-7) - (13 + -14). What is the closest to 2\/3 in h, -0.09, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8052, -7676, -7070, -6222, -5120, -3752, -2106, -170?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:05 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 18 - 110. Suppose -i*h = -7*h - 2579. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by 1.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/4))**(8\/3)\/(g*g**(-1)*g)**(-25)*(g**(1\/2))**(-37)*(g**(-7)\/g*g)\/g*g\/g**(1\/4) assuming g is positive.\nAnswer: g**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/4*4\/(28\/(-50239))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221924777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*z - 35 = 0, 5*b - 432 = z - 399 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 25440*d + 101753. Calculate s(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(847) + sqrt(847)) + -4)*4.\nAnswer: -16 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4285.81955 + 4286. Let c = -22.18 - -22. Let z = l + c. Round z to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -5*u - 49 + 82 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(108) + 2*(3 + sqrt(108)) + sqrt(108))**2 + 1 + (sqrt(108) + -2 - sqrt(108)) + 0 + 4*-5*sqrt(108).\nAnswer: 168*sqrt(3) + 1759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13955983?\nAnswer: 31, 450193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + -2 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*2 - sqrt(2299)*-1)**2.\nAnswer: 6859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9550256 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6553*x**2 + 97*x - 11949038 wrt x.\nAnswer: -13106*x + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 533*n**2 - 339*n**2 - 795*n**2 - 1229*n**2 to o + y*n + u*n**2 and give u.\nAnswer: -1830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -88?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6584, 12561, 18538, 24515, 30492?\n\"Answer: 5977*y + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 378 = -4*i - 0*i, 3*i - 271 = n. Suppose 2*p = 2*w + i, -w + 0*w - 196 = -4*p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18420 by -5.\nAnswer: -3684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 94*i**2 - 493*i + 7. Let k be v(6). Let c = -45\/34 + 56363\/42534. Which is greater: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvit when four letters picked without replacement from itizrqqrivr.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n - 20 = -3*v, -2*v + 10 = 2*n. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 153*v + 1324. Determine r(52).\nAnswer: 1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47403 - 12?\nAnswer: 47371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73120 is divided by 122?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 399\/2. Calculate the common denominator of h and (133\/(-19))\/(33\/(-12) + 5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/481460 and -59\/190.\nAnswer: 481460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2360 is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17918? (a) 10 (b) 3\/22 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 5*w**2 + 3*w**2)*((-37*w - 8*w + 8*w)*(0*w + 4*w - 16*w) + (w**2 + 0*w**2 + 0*w**2)*(4 - 4 + 9)).\nAnswer: -453*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 2550*h**2 + 2*h + 47*h**3 - 2550*h**2 + h.\nAnswer: 47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(-42) + 2\/7. Let p = 0.04 - -0.16. Which is the nearest to -1? (a) t (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 682, 5, 1 in descending order.\nAnswer: 682, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -7*x**4\/12 - x. Let h(n) = -3*n**2 + 35*n - 10. Let a(p) = 2*p**2 - 21*p + 6. Let m(u) = 10*a(u) + 6*h(u). Give m(q(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2*o**4 - 70 + 0*o**3 - 5\/2*o**2 + 85*o. Differentiate w(d) with respect to d.\nAnswer: -24*d**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 - 24*p**2 - 48*p - 32 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11230*t**2 + 5573*t**2 + 5120*t**2. Let w(f) = -2*f**2. What is q(w(o))?\nAnswer: -2148*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6329321um?\nAnswer: 0.0006329321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 253, 255, 257, 259, 261?\n\"Answer: 2*u + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:38 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/48 and 71\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11101010111101100 (base 2) to base 12\nAnswer: 59750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from wmumcmucmpwmcmfpuwc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 1088 + 862. Let j = y - -414. Suppose -27 = -p + 4*p + 5*z, 2*z = 3*p + 6. Put j, p, 5 in descending order.\nAnswer: j, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5775937*b*p*y + 3*b*y + 3*b + 2*p*y + y - 222708 wrt p.\nAnswer: 5775937*b*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -38\nAnswer: 40\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 10. Let r be z(-4). Let u(o) = o - 2. Let h(q) = -q + 5. Let g(t) = r*h(t) - 5*u(t). Let m(b) = b**2. Determine m(g(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.564073 millilitres?\nAnswer: 0.009564073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 60 = -4*x, -2*x + 3*q - 31 - 19 = 0. Let p = 30 + x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5806905 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2470*s**3 + s + 1732?\nAnswer: 7410*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*m - 4. Let y be (1 + m)*(-7)\/(-14). Put y, -6, -3 in descending order.\nAnswer: y, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-280)*8)\/((-1)\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r**4 - 1 - 21*r**5 - 9*r**4 - 17*r**4)*(-3 + 1 + 0)*(3 - 4 - 1).\nAnswer: -84*r**5 - 12*r**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*x - 10 = -9*f, 12 = -3*x. Let n(i) = -4 + 5*i - 4*i + 0*i. Let h be n(f). Solve 0 = -h*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 228761554?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9943*z**4 + 2*z - 121559 wrt z?\nAnswer: 39772*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4565*r**2 + 27*r**3 - 4565*r**2.\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120*c**3*t + 152*c**3 wrt t?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56\/13 + -46\/13. Let h = -4264 - -4265. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*c + 9 = -125*c + q, 2*c - 14 = -4*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 9*w**2 - 14*w + 7. Let u be n(-7). What is the derivative of -u*j**3 - 8*j**3 + 34 - 5*j**3 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441719.\nAnswer: 7, 49831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53 + 8 + 3 - 49\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*t = 18, 3*t = 30 - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - 2 - (-20 - -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12541383 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 - 34302*h - 480620 = 0.\nAnswer: -14, 17165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/4 + 991*z**2\/4 - 243079*z\/4 + 1190745\/4 = 0. Calculate z.\nAnswer: 5, 423, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 504\/5. Put z, 16, 2\/21 in descending order.\nAnswer: 16, 2\/21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 18*s**2 - 2*s - 33. Let v be a(-18). Suppose 4*d = v*d + 1. Let j(q) = 86*q**2 - q + 1. What is the units digit of j(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6363493132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:14 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 9, e: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 88.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*n = -150, 12*g + 5*n = 17*g - 285. Let h = 12 - g. Which is greater: -41 or h?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/2, -644?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 61 (b) -12 (c) 7 (d) -1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i + 40. Let z(j) = 2*j - 10. Let n(u) = -2*c(u) - 9*z(u). Let o be n(4). Suppose 4*a = 3*l - 164, l + o*a = a + 64. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - p - 1. Let q(v) = 166583*v**3 + v - 166581*v**3 - 2*v**2 - 8*v + 2. Determine -q(k) - 2*r(k).\nAnswer: -4*k**3 + 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3\/2*x**2 + x - 1\/12*x**4 + 0 - 5\/6*x**3. What are the prime factors of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.5, 3, -1.82, -4?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + -410?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.99036 weeks in days?\nAnswer: 174.93252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 2, x: 1, e: 2, b: 1, w: 1}. Give prob of sequence qae.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-2)*(-2)\/((-24)\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-10) + (-388)\/20. Let j = -8 - s. Let p be (-2 - -10)*(-9)\/j. Are p and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 78*q - 1. Suppose -4*m = -26 + 2. Is z(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 3*y)*(3 + 0 - 1) + 0*y - y + 0*y + (-24 - 8 - 104)*(-11*y - 4*y + 2*y).\nAnswer: 1771*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 123\/12 - (-2)\/(-8). Let s be -1 - (3 - 2)*-1*7. Suppose -p - k = -s*p. Solve 15 = p*j + j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 134501433?\nAnswer: 134501431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4*w**2 + 314*w - 863. Give g(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p**2 - 12*p**2 + 6*p**2. Let l(z) = 4*z**2 - 3*z. Let q(s) = 9*s**2 - 7*s. Let t(c) = 14*l(c) - 6*q(c). What is t(n(a))?\nAnswer: 1352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25762156*g**4 - 176*g**2 - 39084*g - 1 wrt g?\nAnswer: -618291744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 19*a**3\/5 + 83*a**2\/5 + 13*a.\nAnswer: a*(a + 1)*(a + 5)*(a + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11943 - 8177. Is 10\/15 + (-3 - z\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3 + sqrt(176) + 2)**2 - (-3 + sqrt(176)*-2)) + -1*(-2*(sqrt(176) + 2 + sqrt(176)))**2*3.\nAnswer: -8321 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 414444 = -4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(17\/5))**48 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4549 + 4703. What is the smallest common multiple of 1848 and d?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -243653*l*s - 6*l + 288*s + 6084698 with respect to s.\nAnswer: -243653*l + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*p**3 - 16*p**3 + 249*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 3, 16, 33, 54, 79?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1863.88 to the nearest integer.\nAnswer: -1864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(135\/3)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 420, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 576380905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = 29. Is 46\/k*15*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098509783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 41123232?\nAnswer: -41123231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = h, -3*s - 15 = 2*s - 3*h. Calculate the lowest common multiple of (-5)\/(-15) + (-23)\/s and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213644, 427402, 641162, 854924?\nAnswer: 1068688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3178 and 160883072?\nAnswer: 160883072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Let n(x) = -4*x + l*x + 2*x. Let d(u) = -1. Let v(h) = -h - 1. Let f(t) = -d(t) + v(t). Give n(f(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ssxlyys.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 189834600 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 382 - 382. Suppose h = 1380*g - 1385*g - 67150. Round g to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63594 - 63592. Factor -3\/4 + 17\/4*m**g + 7\/2*m.\nAnswer: (m + 1)*(17*m - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 536 + -533.4. Is 1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -26, -21, -16, -11, -6?\n\"Answer: 5*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17924, -35877, -53836, -71807, -89796, -107809, -125852, -143931?\n\"Answer: -g**3 + 3*g**2 - 17955*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {m: 6, w: 5, q: 3, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -46, -69, -110, -175, -270, -401, -574?\n\"Answer: -s**3 - 4*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1358188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (480 + 261 - 60)*(-3*j + 4*j + 2*j).\nAnswer: 2043*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.3, 0.185, 0.66 in descending order.\nAnswer: 0.66, 0.2, 0.185, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 533 + -523. Solve -v*a - 38 = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -14. Let u = 9 - 2. What is the units digit of (-2)\/u - g\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001110111 - 111011101010000?\nAnswer: -1000010111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (-1*sqrt(847) + 5 + 0)**2 + -4*(sqrt(847)*1 + 3).\nAnswer: -154*sqrt(7) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1292.7.\nAnswer: -2585.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90890 divided by -18178.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_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: Which is the fourth biggest value? (a) 20 (b) -1 (c) -14174 (d) 1 (e) 0.5 (f) 2.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b**5 - 3524*b**4 - 14312*b**3 + 39164*b**2 - 21336*b = 0. What is b?\nAnswer: -6, 0, 1, 889\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003145292.\nAnswer: 2, 3, 193, 144379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1813, 0, -2 in ascending order.\nAnswer: -2, 0, 1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-15)\/(-6)))\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-26)\/(-1)*112\/560?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = 3*h + 226 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v**7\/7 - 4*v**3\/3 + 15. Find the third derivative of r(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371 by -7.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/(-11) - (4716 - 4683).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*v - 22, -5*v + 6*b - 4*b = -7. What is the third smallest value in v, 4, -16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29378 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-2100)*-10*110\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*p. Calculate the common denominator of (-1)\/((-16)\/(-11) + p) and 19\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2076*i**5 + 56060*i**4 - 118116*i**3 + 59748*i**2 + 232*i = 0. What is i?\nAnswer: -29, -2\/519, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13552025621 + 5?\nAnswer: -13552025613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -852895, -852902, -852913, -852928, -852947?\nAnswer: -852970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349605 is divided by 114?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428453 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(468)*-3 + -5)**2.\nAnswer: 324*sqrt(13) + 4293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997 (base 11) in base 13?\nAnswer: 11c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) - (-189)\/81. Let l(c) = 5*c**2 - c. Let a be l(-1). Let m(i) = i**2 + 4*i + 4. Let g be m(-2). Solve a = z*k - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481996 = 696*a + 1413788 for a.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*79\/(5451\/598)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32729 + -163647\/5. Let z = -0.2 - 2.8. Sort g, z, -1, -1\/7.\nAnswer: z, -1, g, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*206.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u - 5*n, 3*u - 14 = 4*u + 3*n. Let m be u\/(-12) - (1 - 14\/6). Suppose 2\/7*i**4 - 2\/7*i**3 - 4\/7 + 10\/7*i - 6\/7*i**m = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.89 - -0.11. Let g = -23 + 21. Let i = 337\/460 + 2\/115. What is the closest to g in -3, i, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -48. Which is bigger: d or 2\/27?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396047753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/20 + p**4\/4 + p**3\/2 - p**2\/2 + 9936*p. Let k be (-1)\/(-5) - 76\/(-20). Give s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.070057 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47399, -47384, -47347, -47276, -47159, -46984, -46739?\nAnswer: -46412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/14 and (-295)\/2*6\/(-120).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 368594879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.055 + 16402934.\nAnswer: 16402934.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 77 = -5*v. What is the greatest common factor of v and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:13 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -72. Suppose -2*m - m + 4*b = 34, -a*m - 4*b = 8. Let y(h) = h + 13. Give y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 55.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*y**2 - 46*y + 122 - 661*y**2 - 122 + 339*y**2.\nAnswer: -5*y**2 - 46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 23 = -67. Let f be 2502\/z + (-4)\/10. Let o(n) = -7*n - f + 83. Let a(r) = -r. Calculate a(o(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.07, 4\/17.\nAnswer: 0.07, 4\/17, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 10*b**2 - 33*b + 523. Let a be h(11). Suppose -2*y - 2*y + 500 = -4*r, y + 3*r = 145. Let m = y + a. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-303)\/707*(-4 - 10) + -1*2. Factor 1\/7*z**3 + 0*z**2 + 0*z**u + 0*z - 1\/7*z**5 + 0.\nAnswer: -z**3*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.7. Let g = -2460 + 2498. Which is greater: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -4. Let a be (12\/(-20))\/(o\/5). Suppose -84*y + 85*y = -4*k + 53, -2*y - 48 = -3*k. Solve -a*r + k = -m, m + 1 + 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 4013862*f + 4013862*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Is (-2)\/2 - (-516)\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2. Let o(m) = 10*m**2 + 10*m. Let g(v) = -10*v**2 - 12*v. Let f(w) = 14*w + 65. Let j be f(-5). Let s(c) = j*g(c) - 6*o(c). Give y(s(n)).\nAnswer: 500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(18154\/1276)\/(-313)?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 618, 1.3, 5, -4 in descending order.\nAnswer: 618, 5, 1.3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-4)\/(-4) - 0. Let m(i) = 2*i**2 + 4*i. Let b(z) = -3*z**2 - 4*z - 1. Let a(g) = -g - 12. Let x be a(-9). Let p(h) = x*b(h) - 4*m(h). Give p(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 810128 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067 + 6.78.\nAnswer: 6.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 2a?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-2))\/(14*(-15)\/105). Solve -12 = -o - 5*q, 0 = h*o - 44*q + 43*q - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 0.3 (c) 0.2 (d) -5 (e) -9 (f) 61\/209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - 642*h - 2227*h - 438*h - 508*h as u*h + l*h**2 + p and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0.1 (c) 0.28 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2486 + 2475. Let w(k) = k**2 + 16*k - 6. Determine w(b).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - a - 3 - 1, -5*b + 8 = -3*a. Let g = b + -2. Let u be 0*2\/(-6)*g. Solve -6*f = -3*f - h + 10, u = 5*f - h + 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -9357.\nAnswer: -9356.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1209 and -73\/273.\nAnswer: 8463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000320854 rounded to six decimal places?\nAnswer: -0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1451041, 2902073, 4353103, 5804131, 7255157?\nAnswer: 8706181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a1 - -275?\nAnswer: 1a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 644\/55 + -74\/5. What is the common denominator of (3 - (-6)\/3) + (-7)\/((-392)\/184) and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 117*k**2 - 504*k + 17264. Calculate i(120).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 50*t + 13. Determine b(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {q: 1, m: 1, b: 1, h: 1, v: 1, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 + 111 - (-5 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = 3*k, 3720 = 5*c + 3*k. Let o be (-5)\/c*(-2)\/15. Let n = o - -144479\/17784. Find the common denominator of n and -59\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63619291?\nAnswer: 3923, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -72610.91704 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 26 + 18. Suppose -4*r = -4*h - 7*r + 53, -5*r = 6*h - 81. What is the least common multiple of g and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140511263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-5)\/(15\/(-6)). Suppose -c - 6 = -y. Let a(g) = -6*g - 1. What is the units digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*i - 2264 = 0, -2*s + 4*s = -2*i + 2292. What are the prime factors of s?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/432 and -19\/67608.\nAnswer: 135216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2051 - -2059. Sort s, 41, -1 in increasing order.\nAnswer: -1, s, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s**2 + 2*s - 1. Let b(g) = -g + 33. Let y be b(24). Suppose -4*m = -x - y, 5 = -4*m - 3*x - 6. Determine v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(1053) + -5 - (sqrt(1872) + 3))**2.\nAnswer: 32*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*l**3 - l**4 + 535*l**2 + 2*l + 530*l**2 - 1062*l**2 to the form d + j*l**3 + p*l**2 + y*l + g*l**4 and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2830 + 2130 = -257*u + 9*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + g)*((0*g + 0*g - 2*g)*(2*g - 2*g - 2*g**2) + 3*g**2 - 3*g**2 + 4*g**3).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/2112697 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 = -2*m, 0*m + 5*m - 20 = -2*y. Calculate the smallest common multiple of m and 564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000858458 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60 - 521d?\nAnswer: -51bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 965*z - 970*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*w - 8*d - 74 - 10, -98 = -3*w - d + 88 - 174 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-56)\/20 - -16?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*v + s + 12, 2477*v - 2480*v - 6*s + 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-1991)\/77)*16\/((-6656)\/112)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m**2 + 2*m - 7. What is f(-3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 5. Let f be s(4). Let a(w) = -w - 1. Let l be a(-4). Find the second derivative of 2*v**3 + v**l + 0*v**3 + f*v wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - -0.1. Let w = 4.6 + o. Let v = 9 - w. What is the second smallest value in -0.2, v, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m**2 + 60*m - 254. Give r(12).\nAnswer: 2482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167384, 167373, 167364, 167357?\nAnswer: 167352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411070207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5042, 19382, 43286, 76760, 119810?\n\"Answer: b**3 + 4776*b**2 + 5*b + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -395*z**2 - 6. Let i(s) = -129*s**2 - 2. Let f(m) = 7*i(m) - 2*v(m). Let p(u) = u. Calculate p(f(l)).\nAnswer: -113*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hshs when four letters picked without replacement from sshssshshshsh?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.53 - -1.53. Let q = 0.114 - 17.914. Let r = -18.8 - q. Which is the third biggest value? (a) r (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -13.1.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 - 166*n**2 - 3971*n\/8 + 1325\/2.\nAnswer: -(n - 1)*(n + 4)*(n + 1325)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1434 - 1701 = -3*o - 3*j, -3*o + 333 = -3*j. Let q(v) = 3*v**2 - v - 2. What is the remainder when o is divided by q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -367235 > -3305116\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20068 = -9*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n - 5. Let o be t(2). Solve 0 = -o*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154705 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: Suppose w - 5 = 3*m, -3*w + 7 + 8 = -3*m. Suppose 0 = w*g + 3*a - 21, -4*g + 0*g - a = -14. What is the first derivative of -3*z**3 + 2*z**g - 2 + 8*z**3 wrt z?\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 39*t - 70. Let z(b) = -b**2 + 79*b + 140. Let s(q) = 11*o(q) + 6*z(q). Factor s(v).\nAnswer: 5*(v + 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -68.424. Let c = -0.576 - y. What is the nearest to c in -2\/5, -5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1971\/(-180) - (-7)\/(-28))\/((-3)\/15)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + 51. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*b - 10, -2*b = -i + 39. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - -1) + (2 - (-3 - -2)). Suppose -b*g + 458 = -11*g. List the prime factors of g.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342047 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -50. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 0*a**3 + 0*a**4 + 3*a**2 - 3\/5*a**5 + 56*a - 48. Find the first derivative of d(n) wrt n.\nAnswer: -12*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*u - 103*u**4 + 101*u**4 + 5*u - 1 + 2*u**2 wrt u.\nAnswer: -24*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 3*x - 1\/3*x**4 + 0 + 0*x**5 - 5\/42*x**7 + 0*x**2 + 0*x**6 + 0*x**3. Find the third derivative of r(q) wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + 5 + -2 + sqrt(147)*-1*-5)**2.\nAnswer: 3670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffdfffzfdffzfdd. What is prob of picking 1 d and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a - 8*a = -118*a + 19203. Calculate the remainder when 887 is divided by a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 675*b - 1250*b + 775*b as l*b + g and give l.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:31 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78840 + 2884. Suppose v = 5*v - w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0.17 (c) -2\/13 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 33 = -5*g, 11*g - 15*g + 80 = -25*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388229781 to the power of 1\/2, to the nearest integer?\nAnswer: 48870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 5 + 3 + (0 + 5 - 4)*(-1 - 1 + 3))*(-2*z**2 + 3*z**2 + 3*z**2).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 34*y - 6 - 1 - 1.\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-8) - 3\/2. Suppose i*r + 5*v = -17, 5 + 21 = 4*r - 2*v. Let l be (3 - 58\/20)*r. Which is the third smallest value? (a) l (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -31*c**2 + 2*c. Let l(m) = 62*m**2 + 37 - 60*m**2 - 37. What is g(l(z))?\nAnswer: -124*z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 - 2*i + 1 + 2*i**2 + 2*i**3 - 5*i**3 + i**3 as k + u*i**3 + o*i + x*i**4 + p*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 19*w**2 + 25*w - 3. List the prime factors of v(-17).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x. Suppose 0*b + 5*b - 20 = x. Suppose -43 = 2*j - 7*j + b*l, 0 = -2*j - 3*l + 31. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 301.8. Let b = k - 29. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 + 14*b + 20. Determine w(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-4)\/(-2))\/(((-2508)\/(-374))\/19))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:57 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c1 - -bbc14?\nAnswer: bc405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2\/9 (b) -1 (c) -0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*u**6 + 2*u**5 - 105*u**3 + 400207*u**2.\nAnswer: 2160*u**3 + 120*u**2 - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290812001?\nAnswer: 290812001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/83930 and 46\/1111?\nAnswer: 8476930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-138) + (-402)\/4623. Factor -16\/3 + 6*c - a*c**2.\nAnswer: -2*(c - 8)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 12}. What is prob of picking 2 t and 1 e?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17044323 and 1325.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5313 and 31\/17644.\nAnswer: 8522052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23211231 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - r = 13, -4*q - q - 5 = 5*r. Suppose q*w = 5*w - 2. Let h(m) = -4*m**2 + 2*m - 1. What is h(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (-5 + 2 + sqrt(112))) + 3 + 3)*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 708 divide 3820737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -337\/3 - -111. Suppose -3*r - 2*r = -10. Put -4\/9, d, r in descending order.\nAnswer: r, -4\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*b - 220*b + 659 = -1416 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21557 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -3*p**2 - 7\/18*p**4 + 5\/3*p**3 + 1\/30*p**5 + 2*p + 0. Determine j so that f(j) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(51) + (sqrt(5100) - (sqrt(5100) + -2*sqrt(5100))))\/(-1*sqrt(12)) - (sqrt(459)*2)\/(1*sqrt(6)\/sqrt(2)).\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19854437 is divided by 196?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 3*g + 3. Let c be f(3). Let m = 20 + c. Find the third derivative of -3*s**5 + 9*s**5 - 4*s**m + 3*s**5 - 5*s**2 wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 90*y**3 + 12695*y**2 + 330840*y - 343440 = 0.\nAnswer: -36, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 13*d + 71. Let q(o) = -15*o**2 - 66*o - 354. Let c(f) = 2*q(f) + 11*y(f). What are the prime factors of c(-10)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -191892?\nAnswer: 191890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 18*b + 183. Does 23 divide t(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61861 rounded to 2 decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*q + 88 = 0, -20*j - 4*q + 47 = -17*j. Suppose -27*m + 200 = -j*m. What is the remainder when m is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*p - p. Let z be (2*-1 - p)\/(-1). Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*l + 19 = 0, l - 2*l = 5. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105192029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 14 + 20 + -37\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 653*k - 656*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.539539 + 1.43949. Let h = -4.1 - o. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**3 + i + 4. Let r be l(2). Let o = 17 - 10. Suppose -o*p = -6*p - r. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2247617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:09 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/((-33)\/12) + 111)*2. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-2)\/20)\/((-18)\/(-72))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {s: 2, n: 2, z: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -654, -5, -2, -199 in decreasing order.\nAnswer: -2, -5, -199, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 2667.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*a - 22 = 66, 0 = 2*b + 3*a - 47. Suppose 4*z - k - 330 = 240, 0 = z - 5*k - 133. Calculate the remainder when z is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*n. Let s be (-3 - -334) + n + 1. Let x = s - -73. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 42420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 359879729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*p**5 + 28508*p**4 + 2449860*p.\nAnswer: -380*p**3 + 342096*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 31*d**2 - 32*d - 63. Let t be x(-30). Let k be t*3\/(-36)*(-7)\/(-14). Which is the closest to k? (a) 0 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -5601?\nAnswer: 5565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 4. Let j be a(-9). Suppose j*v = 3*v - 166. Let x = v - -107. What is the highest common factor of x and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -442368\/17 + 248832\/17*f - 2\/17*f**4 + 292\/17*f**3 - 14400\/17*f**2.\nAnswer: -2*(f - 48)**3*(f - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from saaas?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -375, -14 in ascending order.\nAnswer: -375, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(1900)) + -5*-1*sqrt(1900) + -6*-4*(0 + sqrt(1900)))**2.\nAnswer: 1385100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 + -3. Let o = 512 + -515. What is the closest to -1 in t, 5, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005943 to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -3. Suppose -4*d = -p*d + 51. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 298, 287, 262, 217, 146, 43?\n\"Answer: -b**3 - b**2 - b + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 147*s**3 + 11*s**2 + 3*s - 14. Let n(y) = -221*y**3 - 17*y**2 - 4*y + 22. Determine -8*a(m) - 5*n(m).\nAnswer: -71*m**3 - 3*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 - 4*v - 1. What is r(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.73006 rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*(6 - 9). Let j be (2\/2)\/(v\/(-8)). Suppose j*g - 13 = -525. Round g to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l + 41*l - 560 = -32*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33956 (base 10) in base 8?\nAnswer: -102244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1248 divided by 104\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + 2*j - 2*j + (1 - 1 - j**2)*(-j - j + j) - 1 + j**3 + 1 + 0*j**3 - j**3 + 2*j**3 + 13*j**3 - 3*j**3 + 4*j**3.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 918 = -5*q - 856, -4*w + 4*q = -104. What is the remainder when 1\/4 - 299\/(-4) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -1) + 3 + (-1 - -2) + (73 - 75).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**4\/4 - n**3 - 2*n**2 - 2*n + 1031. Let i = 2 - 1. Let w(r) = -3*r**3 - r + 1. Let p be w(i). Determine x(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from wwqwqtswa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82 + 4?\nAnswer: -7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 + 4*f + 9. Let t(m) = m**3 + 6*m**2 + 3*m + 10. Let l(w) = -5*t(w) + 6*v(w). Factor l(b).\nAnswer: (b + 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/9, -2\/7, -29.623, 2\/7 in descending order.\nAnswer: 5, 2\/7, -1\/9, -2\/7, -29.623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 4461?\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31097851?\nAnswer: 19, 1636729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60298897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 83 = -3*i, -3*s = 3*i - 8*s - 55. Suppose -5*a = -i - 20. Suppose -2*c = -5*b - 25, 2*c - 2*b = 5*c - 28. Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/((-2)\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 548496495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrraararaar. Give prob of sequence ara.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.1, -2.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:38 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*x - 3*x = -4, 2*x + 4 = -z. Do -7 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3775444951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2073, -2561, -3051, -3543, -4037, -4533, -5031?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*o - 3*x, 4 = 2*o + 4*x. Suppose -h = o*b - 33, -b = 5*h - 10 - 2. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(-8)\/(-4). Differentiate 0*y - z - 1 - 4*y wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26b (base 15) to base 5\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2379 * 3335\nAnswer: -7933965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:55 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 606*b + 1813. Calculate y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Suppose -3*u + 0*h - 16 = d*h, -3*u + 29 = -4*h. What is the closest to 0.1 in u, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 4.22?\nAnswer: 1.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102335*x = -102339*x - 2*b + 10, 3*x + 4*b - 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319222.\nAnswer: 2, 193, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((38 - -4) + 21 + (-12 - -8))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*o)*(-2*o + 0*o + o)*(3 + 0 - 4)*(14*o**2 + 8*o**2 - 6*o**2) in the form s + n*o**3 + j*o + u*o**4 + m*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26324, 35032, 49554, 69896, 96064, 128064?\n\"Answer: a**3 + 2901*a**2 - 2*a + 23424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95\/16174 or 1?\nAnswer: -95\/16174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 99909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2156736 + -3441655. Let a be 23699025\/12 + (-4)\/(-16). Let b = j + a. Round b to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 677, 4, 3 in decreasing order.\nAnswer: 677, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/40 + 21*l**5\/80 - l**4\/2 + 68*l. Let s(o) = 0. What is o?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*c - 53. Suppose 5*k - c = 2*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*v - 515 + 125 - 50 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*3*-6)**2 - (3 + -3 + sqrt(7))**2.\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*c**2*o**2 - 4*c**2*o - 3*c*o - 14*c - 24026*o**2 + 17*o - 45 wrt o?\nAnswer: 450*c**2 - 48052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -7*a - 459. Let p = 182 + a. Calculate the highest common factor of 117 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syus when four letters picked without replacement from uihisiisyuhiihiwi?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r + 256. Is 15 a factor of z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5032 (b) -2\/9 (c) -3\/7 (d) -1\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6714 and 8579.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 4*q, -2*k + 4*q = k - 11. Let g(v) = -2*v**2 - v. Let o(b) = b**2 - 7*b - 6. Let i(y) = k*g(y) + o(y). Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, 0.02, 698?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-22)*2\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89841.5 - -89842. Let b be (2 - 1*-23) + -1. Let x be (-4)\/b*3\/(-4). What is the third smallest value in x, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/5)\/((-120)\/(-6800)). Let t = b + 470. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) -4 (d) -2\/3 (e) -10 (f) 0.4 (g) -0.08762\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-10 - -35) - (-1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169.1 - 169.4. Let j be 0\/(2 - (4 + -3)). Which is the third smallest value? (a) j (b) v (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*q + 587 + 493 = -159 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -138*w - 64. Let g be y(-3). Suppose 504 = 357*x - g*x. What is the remainder when 429 is divided by x?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4 - f + 0*f + 5*f - 3*f + f**2. Suppose 5*l - 16 = 9. Let c = l + -9. Determine g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**3 - 6*y**2 + 6*y + 6. Let h(g) = -20*g**3 + 17*g**2 - 17*g - 17. Let x(b) = 6*h(b) + 17*i(b). Give x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjjj when four letters picked without replacement from jjyjyjjj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*(x*x**14)\/x)**12 assuming x is positive.\nAnswer: x**(816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.123 - -1.209. Let p = o - -0.128. Let f = p + -1.36. What is the biggest value in f, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 488.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6666873 and 8.\nAnswer: 53334984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q**(-5)*q)\/q)**(-35)\/(q\/(q**(-1\/8)\/q))**(2\/19))**(-5\/12) assuming q is positive.\nAnswer: q**(-39815\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12190 divided by -4?\nAnswer: 6095\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*u**3 - 521*u**3 + 1778*u**3 - 426*u**3 - 425*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + (sqrt(405) + sqrt(405)*-2 - sqrt(405) - sqrt(405)))*-2)\/((sqrt(90) - (sqrt(90) - -6*sqrt(90)*-2 - sqrt(90)))\/sqrt(10)).\nAnswer: 12*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2690154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -829.545 to 0 decimal places.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/4 - 3*n**3 + 9*n**2\/2 - 5*n + 1. Suppose k + 6 - 14 = 0. Let j be o(k). Solve j*l - z = 1, -2*z = 4*l - 7*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18208005 and 1860.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-33 - -50 - (4 - -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -569 (base 11) to base 6.\nAnswer: -3052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1158386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01858 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)*m)**1*(m**(-2))**46*(m**4*m*m**(-5)*m)\/((m\/(m**(1\/5)\/m)*m)\/(m*m\/m**4)) assuming m is positive.\nAnswer: m**(-474\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -30. Let t(f) be the first derivative of -2\/5*f**5 - 4 + 0*f + 0*f**2 + q*f**3 + 1\/2*f**4 - 2\/3*f**6. Solve t(x) = 0 for x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:23 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5227\/13 - 401. Let a = c + -43\/52. Put -4, a, 0 in decreasing order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 15208*f**3 + 15204*f**3 - f**4 - 3*f)*(6 - 2 - 1)*(28*f + 43*f - 81*f).\nAnswer: 30*f**5 + 120*f**4 + 120*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191499147 to the power of 1\/3, to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.6451031 microseconds?\nAnswer: 0.000000027418385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(5\/4))\/g**10*(g**9*g*g)\/(g\/g**(3\/10)*g) assuming g is positive.\nAnswer: g**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 27?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 79, 163, 281, 433, 619, 839?\n\"Answer: 17*l**2 - l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w - 2*w)*(0*w - 3*w + 8*w)*(-1 - 4 + 3)*(163 + 205 - 239 - w) in the form j*w**2 + f*w**3 + m*w + o and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107434*c**2\/5 + 3322314*c\/5 + 36\/5 = 0 for c.\nAnswer: -3, -6\/553717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 47 = -7*q + 16*q + 3*o, o - 21 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -5 (c) -4.0944 (d) 2\/19 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let f = 2 - b. Let y = -29.6 - -30. What is the closest to y in 2, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*r + 9 = 3*g - 193*r, -49 = 5*g + 3*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058 is divided by 1487.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 + 2055*u**3 + 211455*u**2 + 2572405*u + 2363010 = 0 for u.\nAnswer: -73, -13, -1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o*w**2 - 10*o + 2*w**2 - 62 wrt o.\nAnswer: 4*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 3557367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-5)*30\/20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13340, -50815, -113284, -200741, -313180, -450595?\n\"Answer: c**3 - 12503*c**2 + 27*c - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 16*x - 55. Let z be u(-5). Suppose z = -3*n + 763 + 50. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14444*z - 7222*z - 7218*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/28 + 12 + -5 + -9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607778 to the power of 1\/2, to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4 + 124*j**3 + 1172*j**2 + 2756*j - 4056 = 0.\nAnswer: -13, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -19.034. Round c to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11641321 less than 776?\nAnswer: 11642097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50579 (base 16) in base 8?\nAnswer: 1202571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/7437863 - -470050627997\/104130082. Let a = q + -23734\/7. Let g = a + -10117\/9. Find the common denominator of g and 17\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 10*v + 8. Let c be a(-8). Let t = c - -8. Suppose 20 = -4*x, i = -t*i - 2*x - 8. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 0 + 3)*-5. Solve -s*f + f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1514642101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-8)\/8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15366 (base 7) in base 3?\nAnswer: -12220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*t = -36, 2*v - 2*t - 25 = -5*t. Let q(r) = r**3 - 10*r**2 - 10*r - 14. Let h be q(v). What is the smallest value in 0.06, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 + 2*o + 5. Let t(y) = -y**2 - 1. Let n(i) = r(i) + 4*t(i). Let b be -3*((-20)\/5)\/(-12). Give n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 46 + 20010\/(-435). Factor i*j**3 + 0 - 3\/5*j**2 + 1\/5*j**4 + 2\/5*j.\nAnswer: j*(j - 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 17. Let y = 7 + v. Solve -y*w + 5*w = 5*c + 8, 3*w + 16 = -c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 23*j + 16.\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*v + 3*v - 125, 5*t - v = 125. Let b = -25 - -51. Is t greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9\/s)\/((s*s**(7\/4))\/s)*(s**(-1)*s)**(-4) assuming s is positive.\nAnswer: s**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.31993 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 + -27. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2932 + 2922. Sort -68, 0, o, -1 in decreasing order.\nAnswer: 0, -1, o, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3958 - 3954 + 120*p - 3806 + 15675 - 3957.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.109 and 49082.\nAnswer: 49082.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:12 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 442241 - -5?\nAnswer: 442246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m - m)*((-5 + 2 + 4)*(-5*m + 4*m + 2*m) - 9*m + 9*m + 13*m + 12 - 12 - 12*m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d + 1. Let q(w) = -w. Let x(s) = s**3 + 3*s**2 - 2*s - 3. Let c be x(-3). Let k(z) = c*q(z) - o(z). What is k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1195*f**2 - 5*f - 13. Let u be b(-2). Let m = u + 129112\/27. Calculate the common denominator of m and 44\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Let b be (-1 + 0)*15\/h. Suppose -b*o = -d - 1 - 5, -2*o + 4*d - 12 = 0. Solve 2 = -5*x - z, 5*x - o*z = z - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 19. Let i be t(-6). Suppose 0 = 2*a - 13 + i. Suppose -804 = -a*o - w, -5*o - 4*w = -670 - 324. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -2890, -6583, -11752?\nAnswer: -18397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 24*b + 441. Determine r(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d - 3. Let f be o(-3). Let m = -5 + f. What is the smallest common multiple of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 14. Suppose -z*n = -14 + 4. Differentiate -b - 3*b - n + 3*b - b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.92739123 or -0.1?\nAnswer: -0.92739123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69\/146 + 2\/73. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -879946 > -879944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4 - 45555*u**3 - 729840*u**2 - 2920640*u = 0.\nAnswer: -8, 0, 9127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -23. Let f(n) be the first derivative of 5*n**3\/3 - 3*n**2 - 1. Let b(h) = 4*h**2 - 5*h. Determine j*b(k) + 5*f(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 1 + 5. Let n be 2\/(-10) + f\/(-5). Factor -1\/2*y + n - 1\/2*y**2.\nAnswer: -y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of (((-712)\/(-12))\/(8\/6))\/(2\/148)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344 + -341. Which is the nearest to -2\/7? (a) 0.4 (b) 1\/6 (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8189 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/11))\/l*l**(-18\/11))\/(((l\/(l*l*l**12*l)*l)\/l)\/(l**31*l)) assuming l is positive.\nAnswer: l**(486\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20 - 3)\/(32\/(-128)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62632133441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 536 = -4*f. Find the second derivative of 31*w**2 - 113*w + 176*w - f*w wrt w.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*l - 1019*l + 43320 = 0 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131218 times -17?\nAnswer: -2230706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + (0 + sqrt(72))*-6 + 0 + 0 + 3)**2 + 0.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 47. Sort z, -14, -4 in decreasing order.\nAnswer: z, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2292\nAnswer: -1\/764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/60 and 79\/210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1135 less than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6*s - 2101588*n**6 - 2*n**2 - 84*n*s + 532*n + 3*s + 1 wrt n?\nAnswer: -120*n**3*s - 252190560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10057*v + 2*v**2 + 30412 + 30422 + 30420 - 91254 in the form a*v**2 + m*v + o and give m.\nAnswer: -10057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2445 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 344027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 30 = -3*o. Let k be ((-4)\/(-3) - 1)*o. Is (12*1)\/(k + -3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115123122 divided by 12791458\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28152182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(66)\/(sqrt(6)*-1)) + (-1*(sqrt(133) + (sqrt(133) - ((sqrt(133) - sqrt(133)*1) + sqrt(133) + sqrt(133))) - sqrt(133)))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac29 - -605b?\nAnswer: 13c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 224123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1086981 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t = 12. Suppose 2*k - 7 = -t*f + 3, -5*f = 3*k - 14. Put f, -2, 3 in increasing order.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 197, 5 in increasing order.\nAnswer: -144, 5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.09 - 0.09. Let a = -11 - -19. Let v = q - a. Is 1 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541607653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 31*v - 4*v**4 + 92*v + 5*v**4 + 2 - 13*v as k*v**2 + b*v + j*v**4 + t*v**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 230808 - 820808. What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 389907993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2. Let h = 2 + -1. Let t be l(h). Let z(s) = -s**3 - s**2 + 7*s + 3. Is 24 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27292423 and 2165.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.29 + 0.29. Let g = x + 26. Which is the closest to g? (a) 2\/3 (b) 2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 4.13, 4\/3, -0.1, 0.12?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1439*s**4 - 15*s**2 - 5*s - 5215. Let k(n) = 719*n**4 - 6*n**2 - 2*n - 2607. Let v(f) = 5*k(f) - 2*y(f). Differentiate v(o) wrt o.\nAnswer: 2868*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1740075 = -139*c + 2557240 - 54479. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2472 - -2794. What is the remainder when r is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - 10010010100111?\nAnswer: -10010010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.099 - 11.049. What is the nearest to 1 in 2\/13, -2, a, -63?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 17. Suppose 4*t - 3*d - 11 = 0, -r = t + d - 6. What is the third derivative of -3*j**6 + 0*j**2 - 3*j**t + 0*j**2 wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-18)\/(-12))*(-182)\/33670*(5 - 1).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**7\/105 - 4*t**6\/15 + 39*t**5\/25 + 22*t**4\/3 + 121*t**3\/15 + t - 50. Factor x(g).\nAnswer: 2*g*(g - 11)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + 3*m**2 - m + 3. Let z(f) = 17*f**3 - 9*f**2 + 4*f - 9. Let g(q) = 8*h(q) + 3*z(q). Suppose -6 = -3*t - 0*t. Does 13 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 213*d - 25. Let s be c(-9). Let j = -1198 - s. Calculate the greatest common factor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5779 + 9803 + 6642)*(-2*g + 4*g + 0*g) in the form d + u*g and give u.\nAnswer: 44448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -5 (b) -0.2 (c) -34 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45957 is divided by 15303.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kkkkkkkkkkkjkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e51 + 5?\nAnswer: 8e56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455966 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2730225 * 0.4.\nAnswer: -1092090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 = 3*t, -u - 2*u = -t - 9. Suppose -5*i + 4 = -6. What is the third derivative of h**u - h**2 - i*h**4 - h**2 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - 7 - (-3 - 10) - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454*p**3 - 76577*p**2 + 28973383*p wrt p?\nAnswer: 2724*p - 153154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 22. Let s be a(11). Let v = s - 19\/2. What is the third biggest value in -0.3, v, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 4) to base 12.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16472*i**3 - 2*i**2 - 8 + 2*i**2 - 16469*i**3.\nAnswer: 3*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-24) - 57\/2280*300.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61275*c**2*v - 2*c*v + 285*c wrt c?\nAnswer: 122550*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1089231311 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 8*v**4\/3 + 7*v**3\/6 + 41*v**2\/2 - 239*v. Does 24 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*s**5 + (-3*s - s + 7*s)*(0*s**4 + s**4 + 0*s**4) - 2*s**5 - 2*s**5 + 5*s**5.\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(70\/12))\/(((-60)\/(-147))\/((-4115)\/(-1646)))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -122101010010?\nAnswer: -122101002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.764096 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -1459*q**5\/20 + q**4\/12 + 3257*q**2 + 1866*q. Find the first derivative of y(l) wrt l.\nAnswer: -4377*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112120220 (base 3) to base 10\nAnswer: 10635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -618409, 2 in increasing order.\nAnswer: -618409, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 1380715*v**2 + 1380710*v.\nAnswer: 5*v*(v - 276142)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 3. Suppose -5*v = -9*v - 20. Let p be s(v). Let y(u) = -p*u + u**2 - 3*u - 4 + 6. What is y(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75361\/221*(-3)\/93?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9769\/81 + -9715\/81. Suppose -5*k + y + y - 56 = 0, -4*k - 2*y - 52 = 0. What is the smallest value in 5, -10, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, p: 2, n: 1, d: 1, h: 1}. What is prob of picking 1 h and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96341420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 3 - -1*2. Let f = z + 154. Suppose -p = -f + 46. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 31*u - 3*z + 505 = -8*z, 2*u - 4*z + 142 = -0*z for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 16*r - 17*r. What is the second derivative of -31*v**2 - 3*v + 30*v - 55*v**r + 44*v wrt v?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + t**2 + 3. Let q(c) = -6*c**3 - 2*c**2 - 7. Give -6*q(d) - 13*w(d).\nAnswer: -3*d**3 - d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:21 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 915*j - 45198 = 0 for j.\nAnswer: -243, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*s - 1267 = 332 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - (-34)\/9. Suppose a*n = 22 - 6. Suppose 5*b = 4*r + 60, -2*b - n*r + 22 = -6*r. What is the greatest common factor of 64 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1471179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c = 15*c + 3659 - 3364 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 0 + (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3638*y**3 + 3627*y**3 - 7259*y**3.\nAnswer: 6*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 6. Let w be g(-3). Suppose -c = -w - 0. Let y(r) = 3*r**2 - 18*r + 24. Let m(n) = 1. Let a(q) = c*m(q) + y(q). Factor a(k).\nAnswer: 3*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6328118510.\nAnswer: 2, 5, 7, 37, 67, 36467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-232)\/80)\/(-29))\/(2\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2752192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p - 55 = 174*p + 815 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 503 - -2?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35764 times -1.7\nAnswer: -60798.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - ((-98)\/(-42))\/7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 - 16977222*y - 24018838903107 = 0. What is y?\nAnswer: -2829537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 660 = 19*q. What are the prime factors of q?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (-5 + 5)) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132112?\nAnswer: 2, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -46. Let t = 50.0000084 + k. Round t to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 402*x**2 - 805*x**2 + x**3 + 412*x**2 - 6 + 17*x. Let f be h(-6). Find j such that -2\/7*j + f + 2\/7*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)*w*w**(-17)\/w)**(-11\/3))**35 assuming w is positive.\nAnswer: w**(6622\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baaadaaaadadaaaaaaba. What is prob of picking 3 a?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.41 - -0.21. Let u = -0.8 + k. Let p = 0.03 - 2.03. What is the third smallest value in p, u, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k**2 - 1. Let q = -2 + 3. Let x be l(q). Suppose 6*m - x = 2*m. What is the lowest common multiple of 4 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-3))\/(142\/(-144201))?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18469959385 - -28\nAnswer: -18469959357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, -20.286, 0.105 in increasing order.\nAnswer: -20.286, -0.3, 0.105, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3698.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/3)\/(1\/2). Let i = -58 - -59. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6760 - 2961. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let k = 1 - q. Solve k*w + 5*a = -2 - 20, -4*w + 4*a = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20139\/(-548)*(-4)\/(-7)*(-25)\/(-50).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2848a7 + -b?\nAnswer: -2848b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -850 + 5315. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1623*h + 156339. What is y(96)?\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and -38\/36143.\nAnswer: 433716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -724963305993 and 3.\nAnswer: -724963305990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1345 = -126*x - 967. Solve -4*n + 28 = 4*l, -2*l - 34 = -x*n - 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**3 + 3*f**2 + 13*f + 7. Let d(g) = -4*g**3 - 2*g**2 - 9*g - 5. Let q = -81 - -86. Let z = q - 0. Give z*i(m) + 7*d(m).\nAnswer: 2*m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 - 5*j - 6. Let v be h(5). Let s(r) = 3*r**2 + 6*r - 6. What are the prime factors of s(v)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 5 + (1 + 1 - 1)*(-2 + 1 - 3))*(-3*x**2 + 4*x**2 - 2*x**2).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106986?\nAnswer: 2, 3, 11, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 8*j + 18*j - 25*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1430.523, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*o - 52*o + 3*d + 17 = 5*d, 2*d + 4 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35399 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*z + 5*j, -2*j - j = -15. Let t be (-3)\/(0 - z\/(-10)). What is the third derivative of -4*q**5 - 4*q**5 - 3*q**2 + q**t wrt q?\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 214870054380.2?\nAnswer: 214870054380.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + -3*sqrt(432) - (-3*sqrt(33)*-1)\/sqrt(11).\nAnswer: -37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*(-8)\/51. Let t = 750454\/12495 + -2986\/49. Let d = x + t. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5789, -11540, -17291?\nAnswer: -23042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -38 times 12\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -11, 10 in ascending order.\nAnswer: -11, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/(-578))\/((-784)\/(-896)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + (-5 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-32)*(-16)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 172 - 4*v**2 + 2*v - 172. Let s be 2\/(-4) + 270\/(-60). Let o(c) = -2*c**2 - c**2 - 6*c**2 - 4*c + 9*c. Give s*a(q) + 2*o(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 15 + 25 + 0*v**2 + 10 + 24*v. Does 12 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 27*b + 1. Let t(m) = -132*m - 105. Let l(o) = -5*c(o) + 5*t(o). Suppose l(f) = 0. Calculate f.\nAnswer: -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 218*i**4 - 1657*i**2\/2 + 293. What is the second derivative of a(t) wrt t?\nAnswer: 5232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.89 and 7.6.\nAnswer: 6.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05266, 116, -57.\nAnswer: -57, 0.05266, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*n**3 + 3*n - 5*n**4 + 0*n**2 + 67*n**3 - 33*n**3 + 4*n**2 + 3*n**4 to the form i*n + t*n**2 + r*n**4 + h*n**3 + g and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/456)\/((-26)\/12)*2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 - 60154*r - 661692\/11.\nAnswer: -2*(r + 1)*(r + 330846)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1908 and 1431.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.8.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 551219 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3505 - 5700 = 0. Suppose 2*g = t - 2457, -4*t - 2*g = -613 - k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (4*sqrt(156)*2 - sqrt(156)) - -5*-1*sqrt(156))\/(sqrt(432) + (sqrt(432) - (-2*sqrt(432) + sqrt(432)))*2).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2825593, 2825573, 2825555, 2825539, 2825525, 2825513?\n\"Answer: p**2 - 23*p + 2825615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71330 and 130990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5788.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s - 68. Suppose -10 + s = 3*j. Solve 5*t + 14 + 11 = 5*r, t = j*r - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o + 40 - 58. Solve 11 = 3*f + o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 11*g = -12*g + 28, 5*r + 2*g = -22 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*p = -0*w + 1045, -3*p = -3*w - 1530. Let x = w - -966. Suppose -s = -2*j + 227, 3*j + j - x = s. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9389481 to the power of 1\/2, to the nearest integer?\nAnswer: 3064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y. Let n(b) = 32593572*b. Determine c(n(u)).\nAnswer: -195561432*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and -83\/346540?\nAnswer: 346540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = -3*h, 3*z - 77581 = -4*h. Suppose z = 5*o - 4*v, 0*v - 2*v = 3*o - 15507. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d - 1. Let o be y(-1). Suppose 5*g + o*n - 21 = n, 3*g - 5*n = -5. Calculate the smallest common multiple of 4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = -82*y + 111 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1833, -5178, -12189, -19200, -26211?\n\"Answer: -7011*o + 8844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.58990399638 + 0.21009452762. Let p = -34.8 + h. Round p to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -19 + (-71 - -52 - 24) + 53.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 397449724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18658017 to the nearest integer?\nAnswer: 4319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 12*k + 26*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.3, 173, 20, -0.4, 3 in descending order.\nAnswer: 173, 20, 3, 5\/4, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 bigger than -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -508d?\nAnswer: -5089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 1 + 5, -2*y - 82 = -4*z. Let b = -7 - -10. Suppose -b*n + 28 = n. Solve 0 = -l - 4*x + z, -4*x = -l - n*x + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**7\/840 + y**6\/72 + y**5\/60 + y**4\/8 + y**3\/6 - y. Let b(o) be the second derivative of m(o). Calculate b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.94 + -0.06. Let u = q - -4.3. Which is the nearest to -2? (a) -2 (b) 4\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*n, 0 = -0*v + v + n - 3. Let q(t) = -5 - 12*t - v + 4 - 7. Is 19 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5853 minus -72.9774?\nAnswer: -5780.0226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-6) + 18*(-65)\/(-78)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6422567351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 134.3. Let x = s - -6. What is the nearest to 1 in -4\/3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24331 at least -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/5)\/(1\/25). Let s = 0 + -2. Let p = q + s. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 40*f**2 - 3*f + 122. Suppose 0 = 3*l + 3*a - 0*a - 117, 2*l - 2*a = 82. Let x be q(l). What is the highest common divisor of x and 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 48*v. Let p(i) = 2947121*i + 1. Give p(d(b)).\nAnswer: 141461808*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 11*u**2 - 15*u - 10. What is the tens digit of t(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - x = 3*x + 6, 15 = -5*l + 5*x. Let h = 5 + 2. Let v = h + l. Solve -v*t - 3 - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y + 277738 - 278773 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4841\/22 - 2415\/11. Let h(b) be the second derivative of 5\/6*b**3 - 15*b - 1\/6*b**4 + p*b**2 + 0. What is h(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0*m**5 + 2\/5*m**6 - 18*m + 0*m**4 + 0*m**3 - 9\/2*m**2 + 0. Differentiate t(w) with respect to w.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, m: 1, y: 1, j: 1, v: 2, d: 3}. Give prob of sequence dd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2806149.8 to the nearest one thousand.\nAnswer: -2806000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8293 + 8303. Solve 3*u = -c + 4*u - 5, c + n = 2*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 85?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58250 + -668250. What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315130209 divided by -105043403.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1)*-1 + 5*(sqrt(637) - sqrt(637)*1) - (-2 + -4 + sqrt(637) + 2))**2.\nAnswer: -140*sqrt(13) + 2573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {m: 3, b: 3, s: 6, r: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -442787*14\nAnswer: -6199018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/(22\/12) - (-69919980)\/580030.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/80 - 21*t**5\/160 - t**4\/4 + t**3 - 3225*t. Factor q(b).\nAnswer: -3*b*(b - 1)*(b + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -621908144 divided by -310024?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, u: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165318 divided by 6.\nAnswer: 27553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.2, 4, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1041*d*t**2*z**2 + 122*d*t*z**3 + 861*d*t*z**2 + 2*d*t + 204*t**2*z**3 + 2*t*z**3 wrt t.\nAnswer: 2082*d*z**2 + 408*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -112?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 22*l**2 + 39*l + 24. Let w be b(20). Solve -2*j + 3*o + 12 = -w*j, -2*j + 4*o = -16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (35\/(-2205))\/((-15)\/6 - -2). What is the second smallest value in b, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x + 17*x + 18*x + 25*x + 18*x + 6*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 73696000 to the nearest 1000000.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476152 is divided by 43286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-25) + -4 + 9\/45?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(147)*-5 + sqrt(147)*-1 + sqrt(147) + -1)**2 + -1.\nAnswer: 140*sqrt(3) + 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 16*r**5\/9 + 412*r**4 + 182528*r**3\/9 - 3752492*r**2\/9 + 5022496*r\/3 - 11501248\/9 = 0.\nAnswer: -124, 1, 17\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 1117*x - 3351. Give p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/((-4)\/(-10)). Calculate the remainder when (-3 - -4)\/(r\/141) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p + 7 + 12)*(-2*p**2 - 2*p**2 + p**2).\nAnswer: -6*p**3 - 57*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**3 - 2*l**2 - l. Let n be r(-1). Suppose m = n*q - 7, 4*m = -0*q + 2*q + 8. Let b(w) = -3*w - 22. Let d be b(-9). Solve -q*z = -d*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 20 + 18 + 36*z**2 + 8*z**4 wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*c + 2)*(2*c**2 + 0*c + 0*c)*(0*c**2 + 1917*c - 2*c**2 - 1851*c) + (2*c + c - c)*(2*c**2 - 2*c**2 - 2*c**4).\nAnswer: -12*c**5 + 264*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010 - 1101011110101?\nAnswer: -1101100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:35 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 39*f**2 + 24. Let d(a) = 8*a**2 + 5. Suppose 0*m - 5*m = -o - 15, -2*o = 5*m - 30. Suppose -2*l - 2*l + 23 = p, o*l - p = 22. Give l*q(v) - 24*d(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) - 5\/3. Suppose -3*n + n + 6 = 0. Suppose 5 = -k, 2*s + 7*k - 4*k = -15. Which is the biggest value? (a) n (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122352.\nAnswer: 2, 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let z = 7.5 + 2.5. Let j = -11 + z. Sort j, 4, d in ascending order.\nAnswer: j, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -l. Let s(j) = 3 - j**2 - 2*j**2 + 2*j + l*j**2 + j**3 + 2*j**2. What is s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/1742, 0.0403, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and (1\/(-2))\/((3\/756)\/(-1))?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15523844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 3*b**2\/2 + 9*b - 14. Let z be x(-3). Solve z = -0*p - p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24345 is divided by 2429.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuuuuii. Give prob of sequence uuiu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68042, 135927, 203762, 271547, 339282, 406967?\nAnswer: 474602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 67713300 to the nearest 100000.\nAnswer: 67700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, w: 4, q: 6, g: 3}. Give prob of picking 1 d and 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*c = -2007, 4*n - 3*n - 2004 = -2*c. Calculate the remainder when n is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135557705.\nAnswer: 5, 827, 32783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49594888?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5)\/(-30))\/(105\/(-189)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 1293*l + 5189. What is x(-4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*w = -278*w + 2895 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1 + -2)*-21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/4 - w**3 - w**2 - 3*w - 1. Let t be h(-2). Put 8, 2, t in ascending order.\nAnswer: t, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(3*a**3 + 4*a**3 - 5*a**3) + (5*a + 135 - 135)*(a**2 + 2*a**2 - 2*a**2) in the form n*a**3 + r + x*a**2 + p*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.82, -3\/4, 1\/5 in decreasing order.\nAnswer: 0.82, 1\/3, 1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ac (base 14) in base 2?\nAnswer: 1000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -83*n. Let c(m) be the first derivative of -2*m**3\/3 - 112. Calculate c(u(k)).\nAnswer: -13778*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230.04 + -3.96. Let d = 238.3 + m. What is d rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2. Let d(k) = 9578*k**2. What is d(m(f))?\nAnswer: 239450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2998 and 7.\nAnswer: 20986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssm when three letters picked without replacement from schmmmsm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14)*(-98280)\/9360?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 + 6212*d**4 - 12759918*d**3 + 8449803860*d**2 + 445413552647*d.\nAnswer: -d*(d - 2087)**3*(d + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4000*c*l - 1088*c + 28*l - 18 wrt l?\nAnswer: 4000*c + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*z - 38756, 2*z + 8*m = 7*m + 15505. Does 136 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1103*v + 8. Let y be q(-2). Let f = -30976907\/14 - -2210418. Let p = y + f. Calculate the common denominator of p and 71\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1872446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 1. Let v(p) = 2*p**2 + 5. Let l(t) = -5*d(t) + v(t). Let x(j) = 12*j**2. Calculate x(l(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(468) + sqrt(468) + sqrt(13)*2 + -1).\nAnswer: -3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4865 - 4865. Are q and 18\/115 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48340\/31 or -1560?\nAnswer: -48340\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 less than -414?\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {g: 1, m: 3, s: 8}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25048, -25186, -25420, -25750, -26176, -26698?\nAnswer: -27316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let h(y) = 36*y**2 - y - 41. What is t(h(i))?\nAnswer: -72*i**2 + 2*i + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66108.\nAnswer: 2, 3, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/351*-3 + 17\/(-26).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 10) to base 9\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*b - 64, -5*b - 153 = 194*v - 191*v. Let c(z) = -6*z + 3. Let f be c(2). Let q be (b\/f)\/(7\/84). Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 4975545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/34, 2, -3, 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m + 20 = 0. Let f(h) = 5*h - 4. Let i(w) = 11*w - 9. Let q(o) = -9*f(o) + 4*i(o). Let t(b) = 7*b. Give m*q(k) - t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a = 35*a + 45. Calculate the highest common factor of 195 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, k: 5, s: 8}. Give prob of picking 3 k and 1 s.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816511021?\nAnswer: 816511021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 111 - (347 + -358) - (-26 - -18)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40426 and -1416.\nAnswer: -57243216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422433 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/21)*f**(-3) assuming f is positive.\nAnswer: f**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/28*2 + 1\/(-2). Put 4, -3, q, 5 in descending order.\nAnswer: 5, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65637117 is divided by 1124.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.334 rounded to one decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fll when three letters picked without replacement from {j: 1, f: 7, l: 6}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 26929040.\nAnswer: 26929040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*d - 115*d = 5*h + 16101, -3*d - 5*h + 48263 = 0. List the prime factors of d.\nAnswer: 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*f - 2*f - 4, -4*h = f - 8. Let o(c) = 181*c + 13. Is o(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4220015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + 5\/5)*4\/14. Suppose d - 4*b + n = 6*d, -3*d + 4*b = -14. Suppose 0 = -s - 3, -s = -p - 2*s + d. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -678669 and 0.1?\nAnswer: 678669.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 2*w - 45. Determine c(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61880 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 857309 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10) + 536 + -505.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -213854514, -213854513, -213854512?\n\"Answer: q - 213854515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let f(o) = -6*o - 2. Give f(t) + 5*m(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 + 209. Let o(b) = 17*b**2 + 12*b - 16. Is o(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 3*t**9\/2240 - t**8\/3360 - 16*t**5\/15 + 2*t**2 - 13*t. Let p(l) be the third derivative of v(l). Factor p(y).\nAnswer: 3*y**2*(27*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8 - 2*w**2 - 4*w**2 + 4*w**3 - 3*w**3 + 5*w**2. Let i = 4 + -4. Give o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.837861 minutes to days.\nAnswer: 0.05891518125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (119\/34)\/(104650\/3588)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -465000 or -0.7?\nAnswer: -465000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3211896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - -32 - 42) + -17.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:23 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 179 + -177. Suppose d + 4*a - 175 = -0*d, -h*d = -3*a - 295. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -42?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2872 and 503318.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from ydzdrdzzddyzdzdd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 + 381*b**2 + 726*b wrt b.\nAnswer: -6*b + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:35 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78349 + 2756?\nAnswer: -75593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3213 - 6*t + 23*t + 20*t**2 + 20*t**2 + 3211 + 2*t wrt t?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6 and 64419.\nAnswer: 64417.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42614 take away 0.060717338?\nAnswer: 42613.939282662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7520004 = 4*k, -5*m + 3*k - 4391614 = -11911611. What is m rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-348)\/(-18)*3\/(-2). Let b = -18 - x. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 22*o**6\/3 + 139*o**4\/12 - 256*o - 219. Let w(q) be the first derivative of i(q). Find the third derivative of w(m) wrt m.\nAnswer: 5280*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1794 + 0.5894. Which is bigger: -111 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1852, -1831, -1816, -1807, -1804, -1807?\n\"Answer: -3*q**2 + 30*q - 1879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -20*v + 19*v. Let p = v + 98. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -7*s**6\/120 + 11*s**4\/24 - 16*s**2. What is the second derivative of b(c) wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l + 2*v, -3*l = -0*l + 2*v - 34. Let z(s) = -11*s - 6. Let q be z(-6). Suppose 3*w = -0*w + q. Calculate the highest common factor of l and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:36 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 9*o**3 + 5 - 12*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 3 + -23 + -16 + (-3 - -8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-2\/7)\/g*g*g)))\/g**(-2\/33))\/((g\/(g*(g\/(g*g**(1\/20)\/g))\/g))\/(g**(-2\/17)\/g)))**(1\/4) assuming g is positive.\nAnswer: g**(-30847\/314160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32172 and 828812.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 1, h: 4}. What is prob of picking 3 h and 1 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - n + 62 = 0, -2*v - 2*n - 16 = -3*v. Calculate the greatest common divisor of 200 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 72) + 7 + (-1 - -4) + -6 + 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*s - 39*s + s**3 - 4 - 3*s**3 + 2 in the form o*s + z + i*s**3 + y*s**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)\/sqrt(4) - (sqrt(171)\/sqrt(81) + sqrt(19)) - (3 + sqrt(684)*-2))**2.\nAnswer: -70*sqrt(19) + 23356\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + 5 + -20\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/2 (b) -2\/3 (c) 3 (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, y: 1, p: 3}. Give prob of picking 1 p and 3 b.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvttvvttttvvvvvvvv. Give prob of sequence vvvt.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 3*q**3 - 2 + 2791*q**2 - 4377*q**2 + 5*q - q.\nAnswer: -3*q**3 - 1586*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3\/6 + q**2\/2 + 2*q - 1. Let o(l) be the first derivative of f(l). Calculate o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 82*k**2 - 170*k - 168. Let n be v(-84). Which is the nearest to -0.01? (a) -4 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.855711 meters?\nAnswer: 685.5711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6045*x - 782 + 430*x**2 + 782.\nAnswer: 430*x**2 - 6045*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.05048 - 2068169.94952. Let i = l + 2068268.00355. Let x = i + -94. What is x rounded to four decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/1)\/(29\/29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 - 30*r + 504 = 0.\nAnswer: -42, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 2*f + 50. Calculate the remainder when o(0) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-6))\/(16\/24). Solve 0 = 5*u + w + 4*w - 15, -2 = u - q*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301120330123 (base 4) to base 12\nAnswer: -4404737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -56, 4\/55, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*p**4 - 633827754*p**3 - 2479861440044838*p**2 - 3234163925203346221630*p + 6468337769857523245508.\nAnswer: -2*(p - 2)*(3*p + 11737553)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309372476 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 12 = -7*o. Let k(s) be the first derivative of s**4\/4 - s**3 - 2*s**2 + s - 8. Let y be k(o). Solve -10 = 3*i - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmopmoopemomkokmge. Give prob of sequence kmk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 15. Let l be (u - 2)\/((-1)\/(-15)). Suppose 5*m - 4*t + 1 = 4, 4*m + t - l = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12710 = -15*h - 2015. Calculate the remainder when h is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, 1, -2, 20, -0.032 in ascending order.\nAnswer: -4, -2, -2\/11, -0.032, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23899129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*s**3 + 401*s**3 + 338*s**3.\nAnswer: 249*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - q = -1, 16*f - 12 = 19*f + 5*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-6)*(-480)\/160?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -25*o**4 - 3*o**2 - 6*o + 6. Let c(y) = -26*y**4 - 2*y**2 - 7*y + 7. Let l(u) = 6*c(u) - 7*p(u). Find the third derivative of l(j) wrt j.\nAnswer: 456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136595*n + 45573*n + 4*n**3 + 45505*n + 45517*n - n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 1. Let y(r) = 0*r + 2*r - 2 + 9. Let l(p) = -2*p - 6. Let f(z) = 3*l(z) + 2*y(z). Let a be f(-3). Determine t(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**6\/30 + d**4\/3 + 15*d**2 + 25*d + 2. What is the first derivative of q(u) wrt u?\nAnswer: -4*u**3 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14 = -3*c, -v + 4*c = -4*v - 2. Calculate the remainder when 14 is divided by v + 5 - (-1)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104073\/(-1130) - -78)\/((-6)\/40)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29733 divided by -9911.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/472)\/((-38)\/5776*19)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251*o - 796*o**2 - 63*o**2 + 478*o - 89*o wrt o?\nAnswer: -1718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 2. Let y be x(-1). Let p be (-1 + y)*(-2 - -2). What is the tens digit of (280 - 9)\/(p + (-1)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 185 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:24 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t - 1. Let c(z) = 4*z**2 - 10*z - 4. Let j(l) = 3*b(l) - c(l). Does 4 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -2*sqrt(343) + 3 - sqrt(343) - ((sqrt(7) - sqrt(63)) + 4)*3)**2.\nAnswer: 144*sqrt(7) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 5*z + (-1 + 1 + z)*(4 - 4 + 2))*(2 + 2 - 8 + (2 - 5 + 4)*(1 + 1 - 1) - 5 + 2 + 1) as q*z + c and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/385)\/((-4940)\/1900).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a week in hours?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -12. Let u = -3 + 5. Let a be (-1)\/(-2)*(24 - u). Calculate the greatest common factor of a and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14*91\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-30)*c)\/((c*c*c**(4\/5))\/c) assuming c is positive.\nAnswer: c**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 1 g when three letters picked without replacement from {j: 2, a: 3, g: 5, z: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 661 (b) -24 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8171, -16110, -24027, -31922, -39795, -47646?\n\"Answer: 11*g**2 - 7972*g - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) + 2\/((-40)\/75)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273574559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5588354\/9 + -621530. Let i = b - -599. Find the common denominator of 53\/11 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001001000101 (base 2) to base 15.\nAnswer: d7c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 1)*(4009 - 4009 - 61*r**2).\nAnswer: -122*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -505*d**6\/6 + 437*d**3\/3 - 466. What is the third derivative of x(l) wrt l?\nAnswer: -30300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 - -413. Let v(g) = g**2 - 28 + 26 - 114*g + r*g. Determine v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9185 + -9252.43. Let o = i + 2.43. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9331\/2979 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = x - w, -3636*x + 3*w - 8 = -3635*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 5*q - 22. Let s be h(-6). Let t be s\/(-182) + 74\/26. Solve -5*v + 15 = -t*n - 19, -5*n = -4*v + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - 11*r**4\/12 - 13*r**3\/3 - 9*r**2. Is 16 a factor of c(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:33 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a factor of 208212184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/89799 or -1?\nAnswer: 1\/89799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6 = -6*r - 54*i, r - 11 = -0*i + 2*i - 28 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 7. Suppose 18 = -g - 2*g. Let q be a(g). Solve 7 = 3*w - q*x, -9 = -3*w + 2*w - 5*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 10*h - 19. Let v be o(-15). Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + 57 + 12 + 3 + 35 + 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621803, -621805, -621807, -621809?\nAnswer: -621811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 0.011 (b) 4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 305 = -19 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737629.\nAnswer: 433, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2477*s + 2487*s = 0. Solve 11*m - 13*m + 12 = s for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k + 2. Let l be o(-4). Let z be 2 + 7\/((-7)\/2). Let a be 4\/6 - ((-2)\/6 - z). Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1132000 (base 6) to base 9\nAnswer: 88530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6.2, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let k be g(-2). Let i = k + -7. Let o(h) be the second derivative of -h**3\/2 - 2*h**2 - 15*h. What is o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 8*p - 76. Let d be h(-22). Calculate the highest common divisor of d and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 0*a - 3*a + 0*a + 161*a**2.\nAnswer: 161*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*b = 3*y - 666*b + 11, 2*b - 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -362, -1156, -2690, -5210, -8962, -14192, -21146?\nAnswer: -30070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r + 1. Let w be j(0). Solve c + 0 = -w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2)*(-5)\/(50\/(-15)). Let z(g) = -4*g - 1. What is z(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/((-22)\/(-77)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111770.\nAnswer: 2, 5, 211177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9336 + -9336.005239. What is l rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2\/(-3))\/2)\/(8\/3376). Let n = s + 2251\/16. Is 0 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189619.\nAnswer: 563, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 3, -0.1, -0.33 in ascending order.\nAnswer: -0.33, -1\/9, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7534 at least 7534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -113. Solve w = a + 5*l, 2*a + 11 = -0*a + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365 - 364. Let l = 124\/65 + -30\/13. Which is bigger: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58403428 to the nearest integer?\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3 + 11\/3)\/(9\/2511) and 9.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:41 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 186, 1604, 4246, 8106, 13178, 19456?\n\"Answer: -p**3 + 618*p**2 - 429*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080.9 to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 730348 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/913 - (497448\/29106 + 3\/((-6)\/34)).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/7 + 34*r**4\/7 - 90*r**3\/7 + 86*r**2\/7 - 4*r.\nAnswer: -2*r*(r - 14)*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 0.31 (c) -84 (d) 4 (e) 2 (f) 1 (g) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 12) to base 15\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.71 - 0.95. Let i = o + -0.66. Let s = 1 - i. Which is the closest to s? (a) -5 (b) 0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2846*y**2 + 3*y**3 - 2846*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 165\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illllyixoylux. What is prob of sequence yix?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 168838 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-4)*j*j*j\/((j**(1\/4)\/j)\/j)*(j*j**(2\/11))\/(j**(1\/4)*j))\/(j*j*j*j**(-5)*j*j**8*j*((j*j\/j**(-1\/5))\/j)\/j**6) assuming j is positive.\nAnswer: j**(823\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (2682\/(-33525) + (-773)\/25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434752\/107 or 4062?\nAnswer: 4062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*l**2*q**3 + 37309*l**2*q**2 - l*q**3 - 91*l*q**2 - 4*l*q + 20770*q**3 wrt q.\nAnswer: -138*l**2 - 6*l + 124620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130.55 - 130.75. Which is the second smallest value? (a) 0.4 (b) -3 (c) o (d) -25 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d**(-1\/2)))**(-30\/13)\/(d**(-2))**(-8))**28)**(-1\/31) assuming d is positive.\nAnswer: d**(5404\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2 and -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 5\/6*v**3 - 9\/2*v**2 + 0 - 2*v + 1\/12*v**4. Let o be x(-7). Solve -o*d = -2*z + 15 - 3, 4*d + 4 = -4*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + 2 + (sqrt(833) - (-4*-2*sqrt(833) + sqrt(833))) + sqrt(833) + 3 + ((-1*sqrt(833) - sqrt(833)) + -2 - 1*(-1 + sqrt(833))))*2)**2.\nAnswer: -20160*sqrt(17) + 1334096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 7. Let r be x(5). Suppose 22 = -4*u - 5*c, 3*c = -u + c - 7. Let s(t) = t**3 + 4*t**2 + 4*t + 3. Let m be s(u). Solve m = -0*k - r*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9*(-9)\/(-486))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 5)*-1 + 0. Suppose 37 = 3*q - d*m, 5*q = -m - 0*m + 31. Calculate the remainder when q is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*s - 9, 15 - 39 = 4*s - 5*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27267, -55006, -82743, -110478?\nAnswer: -138211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/15 + 862*x**4\/15 + 46366*x**3\/15 - 862*x**2\/15 - 15456*x\/5 = 0. Calculate x.\nAnswer: -368, -63, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) 3 (b) -1\/3 (c) 42887\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 406417536 a multiple of 2121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {t: 2, x: 11, e: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1593, 1522, 1427, 1296, 1117?\n\"Answer: -2*x**3 - 57*x + 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61731 (base 8) to base 14.\nAnswer: 945b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = -4*j, -2*i + 3*j = i - 21. Let x = 14 - i. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -0.39, -5?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (5 - -1)) + (2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1812.89636 to one dp.\nAnswer: -1812.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 857*r + 91704. Let d be p(-107). Let q(n) = -2*n + 1. Let t be 6 - (2 - (-1)\/(-1)). Let b(i) = 3*i - 2. Let z(h) = t*q(h) + 3*b(h). Determine z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(40)\/sqrt(5)) - sqrt(17))*3 + (-6*sqrt(102)*-1)\/sqrt(6).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -190, -204, -218, -232?\n\"Answer: -14*w - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 divided by -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/12 + s**4\/8 - s**3\/6 + 6*s**2. Let z be m(-3). Let x = 11 - z. Sort -3, -1, x in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 2. Let k be o(0). Let r be 6\/k*1 - 0. Suppose -r*i = i - 16. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61900)\/(-14856))\/(5\/(-12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-2)\/(-6)). Suppose 2 - 14 = -r*i. Solve -7 = 4*y - v, 5*y = -2*v - v + i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (161*(-134)\/6164)\/((-1)\/26)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -30*b**3 - 2*b**2 - 3*b - 2. Calculate l(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 9*x + 2. What is h(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.612255 nanograms to micrograms.\nAnswer: 0.001612255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 37.22 and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-5\/3)*y**30 assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnfgfvvz. Give prob of sequence zf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -363, -1802, -3241, -4680, -6119, -7558?\n\"Answer: -1439*i + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 299944 = -0*u + 2*u, 299942 = 2*t + u. Suppose -2*x = 216030 + t. Round x to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b7 (base 16) to base 2\nAnswer: -1010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1925596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695066, -1390130, -2085194, -2780258, -3475322?\nAnswer: -4170386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 0 in descending order.\nAnswer: 4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 94. Let m(s) = -s - 1. Let h(f) = 5 - 10 - 5 - 3*f. Let t(z) = g*h(z) + 4*m(z). Give t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 31814*n - 381789. Calculate w(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 0*l - 4 - 3*l. Let u be c(-5). Let f be 0 - (-2)\/10*u. Put 2, -3\/7, f in descending order.\nAnswer: 2, f, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = 14, 0 = -3*m + 5*f + 22. Let t(p) be the third derivative of -23*p**4\/24 + p**3\/6 - p**2. Is 6 a factor of t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2 - 5*m. Let z(b) = -8*b**2 + 6*b. Let u(v) = -6*h(v) - 5*z(v). Let r(i) be the second derivative of -4*i**3\/3 - 7*i. Give u(r(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23046 < -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21*v**2 - 33*v - 148. Calculate n(9).\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 140 = -24*z. Is (-2 + 30\/z)\/((-2)\/(-3602)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.179 plus 3.1?\nAnswer: 0.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 13, 7, 1, -5, -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37613.\nAnswer: 29, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 6*a + 4*a)*(3307*a**4 + 2988*a**4 - 12970*a**4 + 2318*a**4).\nAnswer: -4357*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1289\/203 - 6\/29. Calculate the common denominator of b and 6*-93*3\/(-144).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/25)\/((-134814)\/(-112345)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 629515*w - 628234*w)*(-3*w**4 - 2*w**4 + 3*w**4).\nAnswer: -2562*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*f**3*i**4 + 2*f**3*i**2 + 35*f**3 + 2*f**2*i + 4*f*i**4 - 2*i**3 wrt i?\nAnswer: -528*f**3*i + 96*f*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00298179065 rounded to five decimal places?\nAnswer: 0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 289506152 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 - 3*t + 5. Suppose 0 = -s - s + 5*v - 10, 2*s - 4*v + 6 = 0. What is the remainder when g(s) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(sqrt(12) + -2*sqrt(12)) - (sqrt(162) + 2*sqrt(162) - sqrt(162) - (sqrt(2) + sqrt(2) + 1 + -1))**2.\nAnswer: -512 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1122312 (base 4) to base 14\nAnswer: -2194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651463819?\nAnswer: 651463819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20776 - 40?\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.242 + 5.242. Which is the nearest to 0.1? (a) 4 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176774.\nAnswer: 2, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -12*l + 16*l. Suppose 6*t = -l + 31. Let v be (-3)\/(-1) - (2 - (-4)\/t). What is the fourth smallest value in 0.4, -5, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395\/3 - -133. Let l(w) = -w + 6. Let j be l(4). Suppose j*o = 5*o + 12. Which is the closest to 1? (a) 2 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 11*k**2 - 16*k + 42. Give h(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 61. Give b(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:32 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 295508\/1360191 + 4\/9253. What is the common denominator of -127\/42 and l?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 384 + -64. Suppose 3*x - z = -2*x. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 26*c**2\/11 - 52*c\/11 - 80\/11.\nAnswer: -2*(c - 10)*(c - 4)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/17 + 126*z**4\/17 - 18026*z**3\/17 + 326650*z**2\/17 + 2536800*z\/17 + 2192000\/17 = 0. What is z?\nAnswer: -137, -5, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(720) - (-1 + (sqrt(720)*2 - sqrt(720))) - (sqrt(720)*-1)**2*2).\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5145876\/467 - -11019. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*2 + sqrt(60) + sqrt(60))\/(sqrt(48)*-2) + 2.\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*o - 7*o - 12*o)*((6 + 0 - 1)*(0 + 3 - 1) + 4 - 3 - 2)*(3*o**2 - 2*o**2 - 3*o**2).\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a tonne in kilograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, and 2 d when four letters picked without replacement from vvydvvdvvpbvddvvvb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -106*c - 110. What is the tens digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (741\/26 - 37)*((-3)\/(-1) + -5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1233, 920, 2, 1 in descending order.\nAnswer: 1233, 920, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265258, 1265223, 1265188, 1265153, 1265118?\nAnswer: 1265083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-16) - (-3)\/(-4). Which is the nearest to 1\/4? (a) 2 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/56*(-15)\/5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 875 and 1275190.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91355 + 134391. Is i a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:28 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -55213052 (base 6) to base 14\nAnswer: -30d6c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2842309*w + 2843365*w + 76032 = 0 for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -968914?\nAnswer: 7\/484457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -331000 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.21 + -29.9. Let o = g + -0.31. Which is the closest to -1? (a) -1 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1440 + 1317.9. Let f = -122 - h. Which is the second smallest value? (a) 3 (b) 1\/2 (c) -0.3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 28. Let d = u - 20. Suppose 2*y**d - 5*y - 8*y**2 - 4 + 5*y**2 = 0. What is y?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.068 - -3.932. Let y be (12\/(-9))\/(4\/6). Let i be y\/(-3)*(-3)\/(-4). Which is the nearest to 0.1? (a) d (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(700)*-6 + (sqrt(700) - (-3*(sqrt(700) + -1) + sqrt(700) + sqrt(700)) - sqrt(700)))*3)**2.\nAnswer: -4620*sqrt(7) + 308821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let g = 1 + c. What is the third derivative of -a**3 + g*a**4 + 0*a**4 + 3*a**2 + a**3 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:49 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 306*j - 468.\nAnswer: 2*(j - 78)*(2*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/((-9020)\/(-738))*(-93)\/27.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 439 - 439. Suppose -3 = -2*d - 3*l, -11*l + 15*l - 4 = u. Solve 2*x - 4 = -g, -16 = -d*x - 4*x + 2*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-9\/4)*q**23 assuming q is positive.\nAnswer: q**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/21829129 and -4\/7?\nAnswer: 21829129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504 - 485 - (5 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1025128\/15 - -68368. Factor 56\/15*i - 2\/15*i**2 - x.\nAnswer: -2*(i - 14)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.1. Let z = 0.4 - f. Which is the nearest to -1? (a) -1\/3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + z - 44. Let u = 14 + z. Find the second derivative of 4*i**2 - 3*i + 3*i + 3*i - u*i**2 wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2168290*v + 2168378*v - 6600 = 0 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**2 - 7*r + 7. Let i(a) = a**3 - 9*a**2 + a - 4. Let l be i(9). Let t(c) = 8*c**2 - 5*c + 5. What is l*m(k) - 7*t(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -381?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - 14.8416079?\nAnswer: -82.8416079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 9. Let y(d) = d**3 - 19*d**2 + d - 13. Let h be y(19). Calculate u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiooziozioi. What is prob of picking 1 o and 1 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = o. Let m = 14 + -3. Calculate the remainder when m is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:40 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f + 351 = 5*o, 4*f + 5*o = -321. Let y = f - -90. What is the units digit of (-1211)\/(-42) - ((-7)\/y - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 54*k + 307. Determine q(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -145, -133, -111, -73, -13?\n\"Answer: o**3 - o**2 + 8*o - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125712 and 8.\nAnswer: 125712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - w**2 + (3*w**2 + 2 - 2)*(40 - 8 + 4) - 2*w**2 - 20*w**2 + 5*w**2 to g + t*w**2 + n*w and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4430 is divided by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18825.89m to kilometers.\nAnswer: 18.82589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**2\/3 - 3745*x + 310660\/3 = 0. What is x?\nAnswer: 28, 2219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*98900.\nAnswer: 98900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -42. Let q be (k + -4)*-3 - -8. Suppose 707 + 33 = q*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199831 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 420, 460, 500, 540, 580?\n\"Answer: 40*f + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11110101100100011?\nAnswer: 11110101100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n + 72*n = -2625 - 1550 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 4*q**2 - 4 - 3*q - 1\/3*q**3. Calculate d(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40931*i - 40932*i - 40 = g - 81867*i, g = g + 9*i - 90 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/6)\/(855\/30))\/((-5)\/10)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(-3 + 3 + 2) + 3 - 3 - 1 - 594 + 388 + 292 + 0 + 1 - 4)*(2*s + 0*s - 5*s).\nAnswer: -252*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 290 = 95. Suppose -66 + 162 = 3*n. Let p = a - n. 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 7865 (base 13) in base 12?\nAnswer: 9892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 0 - (141 + (-182 - -38))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62728 is divided by 3896.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -71. Find the second derivative of -1 - 24*t - 4*t**4 + 11*t**4 + i wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/52)\/((-26)\/8)*(6*-2)\/(-3)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 4*z**4 + 13*z**3 + 2*z**4 + 0 - 4*z - 7 wrt z.\nAnswer: -24*z**2 + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f - 7 = 4*j + 198*f, 6*f = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**2 + 413420*v - 275620.\nAnswer: 5*(v + 27562)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q**3 + 69070*q**2 - 69068*q**2 - 308*q**3.\nAnswer: -378*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132487 (base 16) to base 10.\nAnswer: 1254535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*l + 5*j - 2*j, 0 = 5*l + j + 29. Suppose 2*c + 3*y = y - 4, 0 = -4*y. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -36. Let l(d) = 24*d + 1. Let g be l(3). Suppose 2*m - 233 + g = 0. What is the highest common factor of i and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51444 (base 6) in base 7?\nAnswer: -26011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.8 - 1.8. Let o = 35.9 - w. Which is the nearest to o? (a) -3\/5 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(162))**2 + -4*(sqrt(162) + -2)**2.\nAnswer: -490 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*x + 144*x + 211*x + 6 + 68*x to n + w*x and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 15*s**2 - 6*s - 24.\nAnswer: -3*(s - 4)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-1*(-89)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2790*o**2. Let u(r) = 18*r**2 + 42*r. Let z(g) = -5*g**2 - 12*g. Let v(f) = -2*u(f) - 7*z(f). Determine v(h(i)).\nAnswer: -7784100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 12. Let j be o(-5). Let v(g) = -g**3 + 6*g**2 + 8*g + 3. Let a be v(j). Suppose 2*n - 550 = -3*n. What is the highest common divisor of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 71, 79, 93, 113, 139, 171?\n\"Answer: 3*x**2 - x + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633.6389 centimeters to millimeters.\nAnswer: 6336.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62 and -0.1101.\nAnswer: -62.1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 19 = 5*c, -c = 4*z + 20 - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2001 - 1981. What is the smallest common multiple of i and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 - 5*y**2 - 8*y - 7. Let p(x) = 9*x**3 - 10*x**2 - 17*x - 15. Let j(v) = -3*p(v) + 7*s(v). Is j(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 21 = 5*f, -9*f = -2*f + 5*h - 69 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3065 - 361675\/118. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -75*p + 66*p. Calculate the remainder when 144 is divided by p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/60 - j**4\/8 + 2*j**3\/3 + 3*j**2. Let y be d(-3). Calculate the highest common factor of 44 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/2)*m*m)\/m)\/m**(-4\/3))**16*((m*m*m**4*m)**(2\/31))**(-1\/6) assuming m is positive.\nAnswer: m**(1403\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 116. Suppose -2 + r = 4*x + 3*d, 2*x - 11 = d. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 68556233.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*24\/(-176))\/((-54)\/(-3)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55016142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 21*g**2 - 5. Let a be c(21). Let y(h) = h**3 + 18*h**2 + 16*h - 16. Let t be y(-17). Sort 6, t, 0, a in decreasing order.\nAnswer: 6, t, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -61 - (2 + -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a factor of 3948459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -489, -1095, -1943, -3033?\nAnswer: -4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.25. Which is the nearest to f? (a) -9 (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-1 - -6 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n + 1. Let k(x) = -x. Let g(w) = -k(w) + p(w). What are the prime factors of g(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 55?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.78 + 3.7. Let v = -1.5 - -7.5. Let p = z + v. What is p rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366621 divided by 6\nAnswer: 122207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/48676?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 5*k + 11. Let l(r) = 3*r**2 - 7*r - 16. Let n(x) = 5*l(x) + 8*z(x). Let c be n(6). Solve 2 = -4*s + 4*o - c, 5*o - 5 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 5*p**2 + 2*p - 2. Let x be u(-4). Let l(v) = -v**4 + 3*v. Let m(q) = 4*q**4 - 13*q. Let a(d) = x*l(d) - 6*m(d). Factor a(g).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 13 - 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -683*v - 2795. What is the units digit of h(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 4*y + 196, q - 52 = 3*y. Are -11 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2\/(-3)*54*(-3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29048?\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1621 = 8*m + 637. What is the remainder when m is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -47 + 18 - 18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-22))\/(8\/(32\/4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(16\/8 + 266\/(-136))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-21))\/(2*2\/(-8)). Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 - -154. Let s = -137 - k. Put s, -1, 11, 1 in decreasing order.\nAnswer: 11, s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 450800 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 0, 89 in decreasing order.\nAnswer: 89, 0, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 11 + 10 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = h - 4*z + 6, -5*h + 5*z - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 128. Let p(y) = 53*y + 43. Is 33 a factor of p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) 0 (b) -2 (c) -7 (d) -0.302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + 5*sqrt(1300))**2 - (sqrt(1300) + -4 + -1)) + -1.\nAnswer: -110*sqrt(13) + 32510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 10*m**2 - 15*m - 2. Let c be a(-11). What is the highest common factor of c and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*z - 324654 = -2049984. What is the highest common divisor of z and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-8 + 15) - 12 - (3 + -2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -22*p - 425. Let c be x(-20). Suppose 0 = c*g - 45 - 255. What is the highest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 527 + 547)*(1 + 4 - 4)*(3*x**2 - 3 + 3).\nAnswer: 3408*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + 0 + sqrt(304) + -4 + 1).\nAnswer: -6 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -2. Let p = 19.82 + -20. Let o = 0.02 - p. Which is the nearest to o? (a) -0.1 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/45 - 9\/((-270)\/84). Put c, -0.1, -0.3, -0.2 in descending order.\nAnswer: c, -0.1, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 6. Let i be a(-10). Let u(o) be the second derivative of 3*o - 1\/12*o**i + 2\/3*o**3 + 1\/2*o**2 + 0. What is u(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 - -833. Let p = -626 + x. Solve -3*a - 4*t = -1, 0 = 2*a + p*t - 5*t - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**2 - 95*f**3 - 90*f**3 + 181*f**3.\nAnswer: -4*f**3 + 27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769.5754 centimeters to nanometers.\nAnswer: 7695754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50728502 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-11)\/(-10) - 37\/(8880\/(-96)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-85)\/(-765) + (-25036)\/(-18). Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497129 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -578 + 578. Let p be (-2)\/6 - 56\/(-33). Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13922807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4888 divide 1429779051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -790.8 - -878. Let g = s + -79. Round g to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/8 + a**3\/3 + 42*a**2. Calculate u(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4 + 128070*f**3 - 3*f**2 + 13*f + 3449 wrt f.\nAnswer: 48*f + 768420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 337 - -66?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 101182, 101191, 101214, 101257, 101326, 101427, 101566, 101749?\n\"Answer: o**3 + o**2 - o + 101181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 272 - 272.2. Which is the second smallest value? (a) -0.5 (b) k (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2300)\/(-225))\/(82\/(-369))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 54178.3851 to the nearest integer.\nAnswer: 54178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1011222?\nAnswer: -1012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314 - -412?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 7*r - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1813 and 65\/9?\nAnswer: 16317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171\/8 + -39\/8. Calculate the common denominator of -56\/15 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-19)\/7)\/(198\/(-1155))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622588046.\nAnswer: 2, 3, 103, 373, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 6*o**2 + 8*o + 9. Let h be i(-7). Solve 2*w - 3*w - 2 = -h*y, y = 5*w - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41781 + 140?\nAnswer: -41641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1286 - 377. Let r = 908.998183 - b. What is r rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24240408?\nAnswer: 2, 3, 271, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 392000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.3 and 9.682.\nAnswer: 7.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*v = 404*v + 578*v + 47944 + 16016 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - y**4 + 8*y)*(-y + 2 + 2 - 2).\nAnswer: y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 7*x - 1. Let o be w(-3). Suppose 0 = 4*y - o*t + 9904 + 58906, 17192 = -y - 4*t. Round y to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 3*v**2 + 8*v + 1. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 1244*m - 3737. Calculate w(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-4) + 6\/8. Let m(t) = -2*t - 2*t**2 + 5*t**r - 6*t**3 + 4 + 7*t. What are the prime factors of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7841.727 to the nearest 10.\nAnswer: -7840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 = 9. Let k(t) = t + 1. Let s(i) = 2*i + 3. Let w(y) = h*s(y) + 8*k(y). Differentiate w(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -237*d - 840. Calculate x(-6).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3614237 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(340\/50)\/(-17))\/(-1*2\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6841.000025755 + -6841. Round m to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*a - c = 663*a + 3, c = 4*a - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2157 + 4339. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttfftftt. What is prob of sequence tttt?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a = -119*a + 231. Solve 15*d - a = 26*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(3\/(-54)). Let w(m) = -5*m**2 - 2*m + 7. Let c(u) = -u**2 + u + 1. Let q(p) = -4*c(p) + w(p). Determine q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2199*s**2 - 336*s**3 + 1529*s**3 - 2 + 2200*s**2 + s + (-2*s + s + 6*s)*(s - s**2 - s).\nAnswer: 1188*s**3 + s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**3 - 1451*g**2 - 145*g.\nAnswer: -g*(g + 145)*(10*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19885 - -19943. Solve -20*i + o - 78 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22949 and -3.754687.\nAnswer: -22952.754687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 355 - -118. Suppose 4*f - s = -53. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 885.2675 micrograms?\nAnswer: 0.0008852675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*f + 0)*(0 + 0 + 2*f) + 13*f**2 - 66*f**2 - 69*f**2 - 3*f + 3*f - 3*f**2 to t + k*f + n*f**2 and give n.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3839, 7680, 11521, 15362, 19203?\n\"Answer: 3841*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-16)\/(-4). Suppose -1 + 51 = p*q + 4*m, -3*q - 4*m + 65 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189.7 - -172. Let k = -18 - y. Which is the second biggest value? (a) k (b) 8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4\/7, -1, 5.5, -2, -11.1 in decreasing order.\nAnswer: 5.5, 0.3, -4\/7, -1, -2, -11.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10674.1 and -0.602105266.\nAnswer: 10673.497894734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -205949 times -1?\nAnswer: 205949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j + 30. Calculate c(8).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - r**3 - r**3)*(-6 - 135*r - 177*r - 431*r - 88*r - 685*r).\nAnswer: -3032*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05089938505 rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 1, i: 1, o: 2}. Give prob of sequence oiot.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -408 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 + 11 = 0. Let f be (x\/(-18))\/(3\/(-6)). Let t = -1 - -1. What is the nearest to t in 1\/2, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-920)\/(-1725))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p. Let c(k) = -111*k**2 + 2*k - 4. Let u(m) = 43844*m**2 - 791*m + 1582. Let g(o) = -791*c(o) - 2*u(o). Determine x(g(b)).\nAnswer: -339*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 24, 8 in descending order.\nAnswer: 24, 8, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 2. Calculate the remainder when 6 is divided by h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31c787 + -e?\nAnswer: -31c796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443731 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - f + 16. Let i(n) = -n**2 - 1. Determine -h(l) - 6*i(l).\nAnswer: 2*l**2 + l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Let k(m) = -1 + 1 - n*m**2 + 4*m**2. Let s be k(0). Let x(a) = -a**3 + a - 1. Calculate x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4 + 2*s**2 - 4. Let t(v) = 5*v - 3*v + 4*v - 4*v. Determine t(m(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2754965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 0. Let b = -274163.7 + 274164. Sort f, 0, b, -0.2 in increasing order.\nAnswer: f, -0.2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 83 (b) -4 (c) 1\/11 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1625 and 4000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or 2\/25189571?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/10))**(1\/24)*((m**(-3\/13)*m)\/m)**(-18\/13) assuming m is positive.\nAnswer: m**(4151\/13520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (-9 - -5 - 4063) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933128323 + 0.8?\nAnswer: 4933128323.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b + 40. Let j be r(-3). What is the hundreds digit of ((759\/(-6))\/(-11))\/(j\/74)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4365383*l**3 - 2569*l**2 + 891 wrt l.\nAnswer: -26192298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-5)\/20). Suppose -2*j - 370 = -5*d, 0*d + l*d = 4*j + 148. Suppose -b + 168 = 4*q, 2*q + d = 4*q - 2*b. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. What is the derivative of -3*u + u - 2 + j*u + u**3 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -42*y - 9. Let j(b) = 14*b + 3. Let g(k) = -8*j(k) - 3*r(k). Is 25 a factor of g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1728408 in ascending order.\nAnswer: -1728408, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-6)\/4)\/(12\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*g**2 - 78 + 78 + 229*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849894, -849896, -849898?\nAnswer: -849900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62394, -249597, -561604, -998415, -1560030?\nAnswer: -2246449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28006 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -902 * -5\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14876 - 14872. Which is the second biggest value? (a) -2\/5 (b) -2\/13 (c) 9 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 5. Let h(p) = -2*p - 11. Let w = 16 - 12. Determine w*h(s) + 9*d(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + 0.06. Let b = c + -0.13. Let n(x) = -x**3 - 3*x**2 + 13*x - 25. Let v be n(-6). What is the nearest to b in -0.5, v, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 + 2*n**2 - 12*n + 13. Let s(x) = -4*x**3 + x**2 - 12*x + 12. Let l(k) = -5*b(k) + 6*s(k). Calculate the remainder when 27 is divided by l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (22\/22)\/((-3)\/(-270)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -461 - -470. Let p(x) = 5*x + 29. What is the units digit of p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 28612 - 28612.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 513740351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l - 13. Let o(q) = -3*q - 3. Let b(z) = 10*z**2 - 1. Let x be b(-1). Let a(f) = x*o(f) - 2*n(f). Let t = 3 + 0. Give a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11421479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - t**5 - t**5 - 4*t**2 - 4*t**2 + 4*t**4 + 2*t**3 = 0 for t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide ((-1)\/(-3)*106)\/(8\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76629\/41660 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.414 - 0.114. Let s = -5.30000169 + c. Round s to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 25*u**2 + 43*u - 70. Let o(i) = 233*i - 5848. Let s be o(25). Give t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 307980.339 to the nearest one thousand.\nAnswer: 308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -31*d**6\/360 - d**3 + 6*d**2 + 4. Let y(v) be the first derivative of z(v). Let x(g) = -g. Calculate x(y(i)).\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/24 + 3*c**4\/8 + 22*c**3\/3 - 40. Let t(u) be the third derivative of x(u). What is the derivative of t(l) wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 = 336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 161 = x, 4*x = -4*f + 289 + 23. Suppose 0 = -8*s - f + 227. Calculate the remainder when 125 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -96. Suppose -x = -2*j - 0 + 10, -2*x = 4*j - d. Solve 0 = 2*k - j*g + g - 1, 4*k - 3*g + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -998064 by 144.\nAnswer: -6931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 0.45. Let k = 0.1 + -0.1. Let o = -5.5 + 0.5. What is the closest to k in 4, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attpmat. What is prob of picking 2 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 619\/153 - 35\/9. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*k = -2, 5 = -0*v + 2*v - 5*k. Let w be (0\/1)\/(2 - 0). What is the units digit of 137\/(-5)*(w + -5 - v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 5*o - 50. Let j be 51\/(-85) - 66\/o. Solve j*p + 4 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10704 - -11724. What is the greatest common divisor of u and 3468?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(48\/9) + (-3)\/(-4). Let w = -9 - -6. Put z, 2\/13, w in descending order.\nAnswer: z, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2540*b**5 + 1275*b wrt b.\nAnswer: -50800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**5\/60 + x**4\/6 + x**3\/6 + x**2. Suppose -21*w - 8 = -92. Calculate c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 1 = 5*z + 8, 0 = -m - 4*z - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018007973 rounded to six dps?\nAnswer: -0.001801","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2774 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:16 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**21))*v*v**0*v*v\/(v*v*v*v\/v**12*v)*v**(-3)\/v*v)**(11\/2) assuming v is positive.\nAnswer: v**(319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p = 2*r + 14, -4*p + r = -12. Suppose -g = -4*x + 18, 0 = -3*x + 5*g + 3 + 2. Suppose -2*t + 74 = x*o, 67 = 4*o - p*t + t. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 47 - 37 - 2*j**3 - 43.\nAnswer: -2*j**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8783*a - 3706*a - 2968*a - 1638442 = 0 for a.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/70 and -5\/20356.\nAnswer: 101780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -395876 divided by 30452?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -769 - -3593. Let o be (-2)\/5 - (l\/20)\/2. Let z = o - -74. Solve -z*m - 2*m = u - 5, 0 = u + m + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.2, 176, 33, 48\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287 - 204. Suppose 157 + j = 5*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 183*z + 180*z - 23 = 0, 36 = -4*x + 2*z for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 + 55 + 53 - h**2 + 3*h**3 - 202 + 2*h + 56 to p*h**3 + k*h**2 + o + a*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 26*j - 670. What is w(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q - 94. Let l be -3 + ((-124)\/4 - 0). Let b = l - q. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 16. Let w be k(10). Let s be (-4)\/(-12) + (-16)\/w. Is s greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 474608683 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 10 = 25*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 137*o**3\/2 + 2743*o**2 + 26846*o + 57660.\nAnswer: (o + 3)*(o + 10)*(o + 62)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 111887382 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(200) + 1 + (1*sqrt(200))**2 - (-2*sqrt(810))\/(sqrt(25)\/(2*sqrt(5)))).\nAnswer: 46*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6509, -39, 0 in decreasing order.\nAnswer: 0, -39, -6509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p + 185. What is k(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12137 or -12422?\nAnswer: -12137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.56 and -1.\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 492 - 124. Find the common denominator of -59\/9 and (0 - x)*(-26)\/416.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30716*d - 30700*d + 208 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.2 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 16158 = -771. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119940553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2012, -1637, -1262?\n\"Answer: 375*z - 2387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7840942.\nAnswer: 2, 3920471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 47873 (base 10) to base 13\nAnswer: 18a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -35. Suppose 0*h + u = h. Let l(x) = x + 8. What is the least common multiple of h and l(8)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574129 and 789.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + f - 28 = 0, -10*f + 5*f - 16 = -g. Suppose -g*t + 1063 = -t + 3*q, 3*t + 5*q = 625. Is 1 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 3:12 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75 and -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.2626336 rounded to one decimal place?\nAnswer: 26.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (-15)\/(-10) - (-8)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(6 - (-140)\/(-21)). Let o(f) = 4*f + 7. What is o(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1520728, 1520729, 1520730, 1520731, 1520732, 1520733?\n\"Answer: z + 1520727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**6\/6 - r**5 - 5*r**4\/6 + 10*r**3 + 45*r**2\/2 + 13*r + 2. Factor p(a).\nAnswer: 5*(a - 3)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/92237 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -20. What is the remainder when 57 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 657*y**3 - 1 + 1 + 4*y - 4*y**4 + 661*y**3 to the form u*y**3 + p*y**4 + q*y + a*y**2 + i and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72.81185 kilometers?\nAnswer: 72811850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 14*m + 25. Determine j(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/1193 - -36871\/16702. Find the common denominator of ((-51)\/4)\/(7 + 40\/(-4)) and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(12252*k - 342*k**4 - 12252*k) + 4*k**4 - k**4 - k**4.\nAnswer: 1370*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1207, -1049, -685, -13, 1069, 2663, 4871, 7795?\n\"Answer: 17*y**3 + y**2 + 36*y - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 4 - -4) + 32 + -49?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0397 times -1.06\nAnswer: -0.042082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + a + 9, -6 = 3*a. What is the closest to -1 in -0.2, -2\/11, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.757815 kilograms in tonnes?\nAnswer: 0.000757815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/15)\/(2\/(-10)). Suppose 0 = u*a - 10, -5*a - 12 = -3*c - 67. Is (-155)\/c*(-12)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 35 = 5*q, y - 4 = -2*q + 10. Let t = 68 + -27. Calculate the remainder when t is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*(sqrt(175) + -1) - sqrt(175)) + 0 + (-3 + sqrt(175) + 2 + -5)*6)**2.\nAnswer: -3780*sqrt(7) + 15939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -69 (b) -2 (c) 2\/27 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 4735. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192178305?\nAnswer: 3, 5, 11, 127, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-24)\/(-15))\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 - 3 = -3*m, -3*z - 7 = -4*m. Find the first derivative of -3*y**4 + m - y**4 - 3 - 2 wrt y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 6\/4)*-6. Let b = -6 + a. Solve -15 = -b*z - 3*w, -2*z + w + w = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2699 - -11900. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 280161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 6\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 1\/2*x**2 + 0*x - 190. Determine h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010122002002 (base 3) to base 5.\nAnswer: -242300010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 178. Calculate i(7).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -24\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/2 - 163*c**4\/2 - 6393*c**3\/2 + 20335*c**2\/2 - 6889*c = 0.\nAnswer: -83, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from {t: 5, q: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7990 and 21.\nAnswer: 167790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -0.5, 2\/37, 2\/11, 2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266602 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40097563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -1463.\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -137784000 to the nearest 1000000.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u - u + (-286 - 125 - 4)*(-u + 3*u + 0*u))*(1 - 5 + 1).\nAnswer: 2499*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222061 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, -1\/657?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3020.5 and 4.\nAnswer: 12082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 721980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/7 - 526*d**3\/7 + 68109*d**2\/7 + 278780*d\/7 + 280900\/7.\nAnswer: (d - 265)**2*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*r**2 - 567039*r*u**2 - r*u - 69*u**2 - 1069406 wrt r?\nAnswer: 64*r - 567039*u**2 - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31411 is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)*-2403 + (4 - 1). Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - j + 1. Let w(c) = -4*c**3 - 12*c**2 + 11. Let z(r) = -w(r) + 5*y(r). Let i be z(6). Solve u - 2*o = -3, 4*o + i + 3 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piiueipippapipiaip. Give prob of sequence ep.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 13596 = -6*h + h. What are the prime factors of h?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 3*z = -6*x - 12, 4*x - 2*z = 14. Suppose 0 = -x*y + 28 + 308. Is 38 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 + 3. Let x be o(2). Which is the third biggest value? (a) -5 (b) 1 (c) -1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77325324097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*p = 9, 4*x - 2*p - 1063 = -1051. Let j(m) be the first derivative of -1\/9*m**x + 7\/6*m**2 + 8 - 10\/3*m. Suppose j(u) = 0. What is u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.2 - -32.2. Let u = -1 - 1. Which is the closest to z? (a) u (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 26. Let j be (-2)\/(-8) - (-3375)\/100. Suppose 25 = 35*y - j*y. Let r be h(y). Is -2\/235 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 151 = -4*g - 29, 5*k - 135 = -5*g. Calculate the remainder when 223 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -b - 681, 4*b - 103 + 557 = 2*t. Suppose 0 = 4*f + f - x - 1030, 4*x = -f + t. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3762 divided by -38?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748 = -3262*q + 3251*q. What is the third biggest value in 3, 1\/5, q, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 2, -196\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 43093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*g + 4*g + 40, 3*g = 4*y - 31. Let t = g + 9. Suppose t*x + 84 = 296. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740 is divided by ((-9152)\/(-12))\/11 + (-63)\/27.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.586? (a) -0.5 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, 4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895 = -h + s, 3*h - 3580 = -h - 5*s. Suppose f - 5*v = 218, -4*f - v + h = 2*v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18155)\/137025 - (220\/350)\/(-11) and 131\/522?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48178.66 kilometers?\nAnswer: 48178660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9024*j + 6025*j - 14226*j + 6355*j.\nAnswer: 7178*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/14 - (-87)\/(-609). Put a, 6, 5 in descending order.\nAnswer: 6, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032674 to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -9.8. Suppose 0 = 25*p - 10*p + 120. Let l be 35\/105 - p\/(-42). Which is the nearest to l? (a) -4 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45203\/(-85) + 1\/(-5). Let r be (-10)\/55 - f\/22. Solve r = -5*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4108? (a) -2 (b) 0.44 (c) -0.1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g + 5*b = -76*g + 54, -3*g = -3*b + 54. What is the closest to -1\/4 in 3, g, -3\/5, -5\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, y: 7}. Give prob of picking 2 y.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/9 - 8*q**2\/3 + 20*q\/3 - 32\/9.\nAnswer: -4*(q - 1)**2*(q + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 1917*t**3 - 66852*t**2 + 217728*t.\nAnswer: 3*t*(t - 672)*(t - 3)*(t + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 5\/4 (c) 3\/5 (d) 12 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5413 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 102*k + 102*k - 48*k**2.\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -72143*x - 649309. What is l(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 - 152. Find the third derivative of 26*n**2 + 57*n**2 + 19*n**4 - 118*n**u wrt n.\nAnswer: 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11090 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + m - 7. Calculate d(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(40) + -6*sqrt(33)\/sqrt(3))**2.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s + 5. Suppose -3*m + 3*u = -33, -2*u = 5*m - 0*u - 41. Let t be c(m). Is (t\/4)\/((-2)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 38\/7 (b) -4\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/(0 + 9\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315761 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((182\/26)\/1792)\/((-33)\/396)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -3777*i**5\/20 - 675*i**4\/4 - 1760*i. What is the third derivative of u(g) wrt g?\nAnswer: -22662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:28 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. Is (-264)\/(-1) - 10\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 54*m**2 + 385*m + 1468. Determine l(-60).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n**3 + 7*n**3 - n**3 + 6*n**2 - 6*n**2 + 8*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107317520?\nAnswer: 2, 5, 1341469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166109*m**2 + 929*m**5 + 166109*m**2 + (-m**3 + 4*m**2 - 4*m**2)*(-2*m**2 + 4*m**2 - 3*m**2).\nAnswer: 930*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ike when three letters picked without replacement from eiekiie.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -2\/45872933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 6*n**2 + 5*n - 6. Let c be (2 + -3)*2 + 4. Let q(m) be the first derivative of m**4\/4 - m**3 + 2*m**2 + m + 9. Let h be q(c). What is i(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1118 and 73\/430.\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 7*d**2 - 17*d + 14. Let r be (-14839)\/1562 + 1\/2 + 0. Determine z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007347579 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/4 + 705*s\/4 + 9125\/2 = 0?\nAnswer: -25, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/65 + (-210900)\/2375?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77394473 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699563?\nAnswer: 59, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-6)*3\/(-2). Let z(j) = -j**3 - 5*j**2 + 5*j + 2. Let p be z(-6). Solve -2*h - 2*k = k + 21, p = i*h - 4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:34 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 - 16*d**2 + 34*d**2 + 259*d.\nAnswer: -3*d**2 + 259*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(88)*1)\/(sqrt(40)\/sqrt(45) + sqrt(96)\/sqrt(192) + sqrt(8))*4*-3.\nAnswer: 720*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(2337\/(-168264))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 175, 378, 663?\n\"Answer: 41*k**2 - 2*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p + 78. Let w be s(17). Which is greater: -21 or w?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/((-7448)\/48))\/((-10)\/(-14) + (-320)\/480)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402794703391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*g - 18, -3*p - 11 - 13 = 2*g. What is the remainder when 1 + 1 + 22 + 1 is divided by (6 + -3)*(2 - 2\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -20, 6, 1, 5 in increasing order.\nAnswer: -20, -15, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p**2 + p + p**2)*(-11 + 3*p + 11).\nAnswer: 6*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -21 - 141. What is the greatest common factor of k and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 112*i**3 + i**2 - 238*i + 236. Determine f(1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u - 242*u**4 - 338*u**4 - 3*u**2 - 3 + 17308*u**3 - 17308*u**3 - 2*u**6 wrt u?\nAnswer: -240*u**3 - 13920*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -252*c**2 - 63*c + 477*c**2 - 224*c**2 + 23*c**3 - 2 as d + l*c**2 + j*c**3 + i*c and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9892.031 weeks in seconds?\nAnswer: 5982700348.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127386617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*g = 3*y - 15, 3*g - 10 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 857734 (base 9) in base 14?\nAnswer: d428a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 584.979 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3458 + -3456 - (-2 + 0 + 3 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/5)*s**(-9)*(s**(-1))**(-50) assuming s is positive.\nAnswer: s**(199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-12) - ((-8)\/6 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(50*1\/1 - 1). Let h = -47 - n. Solve -h*b = j + 3*b - 5, -2*j = -2*b - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644752.5 micrograms to grams.\nAnswer: 0.6447525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 15*t + 66. Let s be f(-5). Suppose -40*k - 3 = -s*k. Calculate the remainder when 218 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3688 and -0.7934.\nAnswer: -2926.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 593*x**2 - 1186*x**2 + 586 + 594*x**2.\nAnswer: x**2 + 457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**3 + 12*a**3 + 0*a**3)*(-5*a - a + a) in the form g*a**2 + n*a**3 + i*a + m*a**4 + f and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 3*y + 2. Let w be j(-3). Let u(x) = -11*x**3 + 2*x**2 - x - 3. Calculate the remainder when (-1*2)\/w - -32 is divided by u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74\/5 - 15. Let d = -0.21 + 3.21. Which is the second biggest value? (a) d (b) w (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + (-14)\/(-8))\/(3\/151) and -133\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.2 + -8. Let f = -3.8 - i. What is the closest to 1 in -1, 4, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64663 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10332 + 2?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 1:08 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let w(j) = 3018170969*j**2. Calculate w(o(z)).\nAnswer: 3018170969*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1614717 by -481.\nAnswer: -3357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 4*d**3 + 5*d - 23 + 8*d**4 - 4*d to v*d**3 + s + b*d**4 + x*d + z*d**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q. Let u(r) = -6*r. Let p(s) = 21*s. Let k(o) = 5*p(o) + 18*u(o). Determine 2*h(g) - 9*k(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 6.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265301\/18 - -14744. Calculate the common denominator of o and -85\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 8 = 13*n + 12. What is the nearest to -7 in -2\/5, 4, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 4*h**2 - 3*h + 4. Let x be k(-5). Let r be x\/(-8) + (-5)\/10. Is 0.2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - p**5 + 0 + p**3)*(7 + 6 + 6)*(-20 + 1 + 3).\nAnswer: 304*p**5 - 304*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120) - (sqrt(120) + (sqrt(120) - 2*sqrt(120) - sqrt(120))) - sqrt(120))\/(sqrt(96) - sqrt(96)*2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 0. Let q = -12.5 + r. What is the smallest value in 3, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/684 and 41\/5358?\nAnswer: 32148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39729 and 124865.\nAnswer: 291809505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 2, m: 2, c: 2, y: 3, q: 1}. What is prob of picking 2 c and 2 n?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054886 less than -1231?\nAnswer: 2053655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13100 + -13097. Which is the nearest to 212? (a) -3 (b) -3\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 549*f**2 + 546*f.\nAnswer: 3*f*(f + 1)*(f + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6533 + -3551. Does 42 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 4*z + 65 + 79 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303122 less than 31303113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444215362 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - p - 3)*(7 - 2 - 4)*(-3*p - 45719 + 45719)*(p**3 - 2*p**3 + 2*p**3).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27 - 17 - 11 + 14*i - i**2. Let o be q(14). Put 16, 2, o in ascending order.\nAnswer: o, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 6. Suppose 3*y + 8 = 2*m + 6*y, 3*y - 18 = -3*m. Let i(z) be the first derivative of 9*z + 3*z - 15*z - m - z**2. What is 7*i(b) - 4*v(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 27*l - 32. Let w be m(26). Let d(f) = -f**3 - 5*f**2 + 4*f + 8. Calculate the lowest common multiple of 12 and d(w).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 30. Let j(l) = -l**2 + l + 4713. Determine b(u) - j(u).\nAnswer: 2*u**2 - u - 4683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 + 6. Sort 2\/11, w, -8, -1 in decreasing order.\nAnswer: 2\/11, w, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 68*b + 18. Let x(g) = 13*g + 1. Let p(c) = d(c) - 5*x(c). Let w(t) = -5*t**2 + 8*t + 40. Give 8*p(u) - 3*w(u).\nAnswer: -u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -16*h - 96. Suppose 0 = 3*p + 2*w - 3*w - h, -p = -w - 8. Let c(s) = -s**3 + 8*s**2 - 4. What is c(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0*s**3 + 0*s**6 + 0 + 0*s + 5\/24*s**4 + 0*s**5 + 1\/35*s**7 + 2*s**2. Find the second derivative of m(z) wrt z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125 + -49 + -96)*9\/4.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 8*m - 22. Let z be b(16). Let q = z + -101. Suppose 20 = -0*h + q*h. Solve c = -p - h + 8, 5*c - 15 = -4*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123\/578 + -1004859\/4046. Let y be (3\/2)\/(12\/(-1992)). Let b = m - y. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44922, 89788, 134560, 179190, 223630, 267832, 311748?\n\"Answer: -8*k**3 + k**2 + 44919*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 2*o**3\/3 - o**2\/2 - 2*o. Let n(g) = -2*g. Let s(j) = -3*j**2 + 87*j - 295. Let l be s(4). What is l*n(b) + 2*d(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/11 - 192850*g\/11 - 578568\/11 = 0.\nAnswer: -3, 96428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-9)\/(315\/(-20))*1281\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111001110001010 (base 2) in base 3?\nAnswer: -11211110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (8 + -22 - -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 + -17 + 385\/22.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -0.2, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 2*o**2 + o + 3. Let y be d(0). Suppose 3*s - w = 496, -5*w + 160 = -y*s + 4*s. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2778672, -2778673, -2778674?\n\"Answer: -h - 2778671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1854 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v + u - 6, 0 = 4*u. Let p(s) = 3*s**3 + 7*s**2 - 2*s - 4. Let o(k) = -2*k**3 - 5*k**2 + k + 3. Let t(z) = 7*o(z) + 5*p(z). Calculate t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 53. Suppose -t*p + 10 = 2*p. Suppose -3*a + 2*z + 214 = -a, -p*z + 230 = 2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 740731.1100077 + -740722.41. Let l = -8.7 + x. What is l rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 8. Let w = -22 - c. Let n(h) = -3 + 6 - 2. Let a(y) = 2*y + 1. Determine w*n(u) - a(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {c: 7, t: 3, a: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-100)\/6)\/((-1460)\/(-1752)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5232 - -8254. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*s**3 - 2171*s + 2171*s)*(-s**2 + s**2 - 4*s**2).\nAnswer: 168*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = -6*n + 11, -k + n + 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 1155336 + 577822 + 577774.\nAnswer: s**3 + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*k = -112*k - 4020. Calculate the greatest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 + 15*n**2 + 48*n + 48.\nAnswer: 3*(n + 2)*(n + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m + 1\/80*m**5 + 1\/8*m**3 - 1\/16*m**4 + 0 - 1\/8*m**2. Suppose g(j) = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 11. Put -6, -1, j in ascending order.\nAnswer: -6, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -8*v - 24. Calculate the common denominator of ((-105)\/(-200))\/((-1)\/v) and -101\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 1806540, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96374475 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 41 - 470. Let m be 455\/h - 2\/11. Let f(t) = -t**2 - 3*t - 4. Give f(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 + 2*x + 7. Give t(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m - 232 - 303 = -1276 - 899 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 12\/5)*-15. Suppose -3*i - 8 = j + 3*j, 2*j - i = g. Solve j - 5 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35157156*u**3 - 2*u**2 + 12*u + 12078.\nAnswer: 210942936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*z - 40496, 1264*z + 30362 = 1267*z - 2*u. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l**2 + 21*l**2 + 19*l**2 + 19*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16036 + 25379. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.047 + 0.347. Which is the smallest value? (a) -3 (b) y (c) 1\/4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4624874 to the nearest integer?\nAnswer: 2151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 6*i - 30. Let v(m) = -2*m**2 - 10*m + 6. Calculate the lowest common multiple of a(-10) and v(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 7*j - 1. Let p be y(-6). Let c = 0.7 - 0.7. Is p smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 + 3)*(-1 + 0 + 0) - 435 + 3536 + 240)*(2*k - k - 3*k) to the form w + s*k and give s.\nAnswer: -6678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 13*q + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3*c**3 - 7*a**3*c**2 + 6*a*c**2 - 7*c**3 wrt c.\nAnswer: 42*a**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r + 119. Determine s(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/145725 and 77\/32625.\nAnswer: 2185875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18444)\/(-18))\/(4\/(-6)). Is -1531 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 3*r**2 + 7*r - 9. Let x be g(-5). Let l be (11 + -12)\/((-1)\/x). Let u(d) = -2*d - 8 + 8*d + d**3 - 7*d**2 + 12. What is u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from {v: 9, f: 4, z: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*u = -2507, y + 2*u - 491 = -u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42750 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280683.53 rounded to the nearest one thousand?\nAnswer: 1281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3\/17 - 58*b**2\/17 - 26*b\/17 + 28\/17 = 0. Calculate b.\nAnswer: -14, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3 + 1\/3. What is the closest to u in -3\/2, 1\/15, -0.4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1 - 34) + (27 - (21 + -5))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48046, -48063, -48080, -48085, -48066, -48011?\nAnswer: -47908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*j**2*x**3*y**2 - j**2*x**3 + 97992*j**2*x*y**3 + 1526*j**2*x - 2*j**2*y**2 + 22*j*x**3*y**3 wrt y.\nAnswer: 587952*j**2*x + 132*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/21*28\/8. Suppose 45 = 3*x + t*x. What is the remainder when x is divided by 6\/(2\/(-2)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -27, -57, -105, -177, -279, -417, -597?\n\"Answer: -k**3 - 11*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4337469 in increasing order.\nAnswer: -3, 2, 4337469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2 + 15*i + 54.\nAnswer: -4*i + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -42. Which is the closest to 0? (a) -3\/22 (b) w (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16363015 is divided by 2167.\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from glxgl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 52 - 44 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 7:00 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.5, 0.6, -3\/2, -1, 151?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 150897786 less than 150897785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(12\/9)*16\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 8\/15 (c) 4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*b - 3 = 3*q, -4*q + 6 = b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21395, -46869, -72329, -97769, -123183, -148565, -173909, -199209?\n\"Answer: z**3 + z**2 - 25484*z + 4087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x + 7. Suppose 2*r + 0*y = -2*y - 6, -5*y = 3*r + 13. Let a(f) = f - 1. Determine r*g(p) - 5*a(p).\nAnswer: 19*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3041070 divided by 608214?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 492.735 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v**3 - 28*v**2 - 62. Let z(i) = -3*i**3 - 9*i**2 - 21. Let d(l) = -6*n(l) + 17*z(l). Let s(u) = -u**2 - 1. Give d(h) + 15*s(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - m = -7, 3*n - 12 = -3*m + 5*m. What is the closest to n in 3, 4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-45) + (-1654)\/(-30) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 410700\/(-140600)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 615 and 68769423.\nAnswer: 343847115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/64956 and -73\/4624.\nAnswer: 75089136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -53*x - 8. Suppose -5*a = -2*u + 40, 3*u - 1 = a + 4*u. What are the prime factors of l(a)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 647?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let s = -143 - -144. Let o(t) = 2*t + 2. Calculate s*o(c) - 3*i(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10759)\/(-212) + -43)*((-42)\/(-44) - 1) and 16\/49.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 + 58 - -27) + -88.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 414*i - 110. Calculate the remainder when l(4) is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.8 - 23. Let n = 9 + -13. What is the smallest value in n, -1\/9, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1894, 883, 8362, 22895, 46834, 82531, 132338?\nAnswer: 198607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026236 (base 7) in base 9?\nAnswer: 607654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -178. Let m = o + -166.2. Which is smaller: m or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1723\/3 - 575. Let l = 5 + -3. Let m = l - -6. Which is the biggest value? (a) m (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 1:44 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418598 is divided by 4148?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z - 4. Suppose 0 = -15*b - 9*b - 3312. Let q = 141 + b. Give f(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 0 + (-66 - (-9 + -44)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110001100000 - 110100011?\nAnswer: 100011101010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 f, and 1 z when four letters picked without replacement from {f: 2, j: 1, z: 3, n: 2, c: 2, q: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 44*m**3 - 2*m**2 - 4*m - 2. Let i be c(-1). What is the smallest common multiple of (-38)\/1*22\/i and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*y + 12 = -209*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39a4 (base 16) to base 3.\nAnswer: -202020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.47569, 2, 4\/5.\nAnswer: 0.47569, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414 - 73*h + 414 - 141*h + 61*h.\nAnswer: -153*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -77, -90, -107, -128, -153?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131272971149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -352)\/(0 + -21). Let j = r - -49\/3. Let i = -1 + 0.6. Sort i, 2\/9, j in descending order.\nAnswer: 2\/9, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 - 13*o + 3. Let n(y) = 22*y**2 + 53*y - 13. Determine -26*c(i) - 6*n(i).\nAnswer: -2*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s + 1. Let r(p) = 8*p**2 - 10*p + 7. Let z(n) = r(n) - 6*w(n). Let t(k) = -5*k**3 - 2*k**2 + k. Let x be t(1). Is z(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0 + 5*h**2 + 1\/12*h**4 + 1\/50*h**5 - 2\/15*h**3 + 0*h. Factor a(f).\nAnswer: 2*(f + 2)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-70)*-2080*178\/(-5696).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 41. Let s(m) be the third derivative of m**4\/12 + 8*m**3\/3 - m**2. Let t be s(k). Solve -t*i + 0*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-34) + 45408\/5848. Let z(v) be the first derivative of v**3\/3 - 4*v**2 - 6*v + 1. What is z(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w. Let d be r(-4). Suppose 0*a = 4*a - d. Suppose 0 = g + a*q - 6, -5*g + q = -3*q - 117. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370729953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 + 3*k - 6. Let c(z) = 2*z - 2 + 6 - 4. Calculate the remainder when n(4) is divided by c(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/2 - (-138)\/30. Which is the second smallest value? (a) -1 (b) l (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1185 divided by 2218.\nAnswer: -1185\/2218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 23, 52, 93?\n\"Answer: 6*n**2 - n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 w, and 1 i when four letters picked without replacement from {f: 1, v: 4, u: 4, k: 2, i: 1, w: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -827035149.4 to the nearest 10000.\nAnswer: -827040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4041015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4791*r**2. Let p(a) = 4*a. Let o(z) = 3*z. Let d(g) = 5*o(g) - 4*p(g). What is d(i(h))?\nAnswer: 4791*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - 2*c**2. Let s(a) = 17*a**3 - 28*a**3 - 22*a**3 + 33*a**2 - 48*a**3. Let t(n) = 3*n + 23. Let g be t(-7). Give g*s(l) + 33*k(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947.68 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1384*(-4)\/(-184) - 6\/69. Let x(f) = 2*f**3 - 60*f**2 + 5*f - 59. List the prime factors of x(z).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(968) - sqrt(968)*2) + sqrt(160)\/sqrt(5))\/((sqrt(108)\/sqrt(3))\/sqrt(9)*3).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(63) + (sqrt(252) - ((sqrt(252)*2 - sqrt(252)) + sqrt(252))) + sqrt(63) + sqrt(63) - sqrt(63))\/(2*sqrt(1296) - sqrt(1296)))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Let d = -10 + s. Let g = -4.7 - -5. Which is the third smallest value? (a) d (b) g (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -56)*(-873)\/(-27) - 1. Let a be k\/27 + 18\/(-81). What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2460834 divided by 6\nAnswer: 410139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (38\/4)\/((-1)\/26). Let c = 4201\/17 + y. Let s = -6 + 1. What is the second smallest value in -1, c, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 0)*(-3 + 3 - c) - 5*c + 4*c - c)*(-16 + 274 - 117 + 11*c) to t*c + f + m*c**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392.9864um to meters.\nAnswer: 0.0003929864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 732 = 797. Solve d = 9*n - 10*n + 2*i, -5*i + 16 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 1, g: 2, b: 1, r: 1, x: 1}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73917456 divided by 948.\nAnswer: -77972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 7*z**2 + z + 3. Let u be j(-7). Let n be -9*(u\/(-3))\/2. Let t(a) = -a**2 - 2*a - 4. Determine t(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -499, -1679, -3975, -7759, -13403, -21279?\nAnswer: -31759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*l**2 - 65*l + 65*l)*(3 + 4 - 6)*(148*l - 75*l + 45 - 71*l) in the form u*l**2 + f*l**3 + c + j*l and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.142 + 0.083. Let p = 0.151 + x. Let u = 0.092043 - p. Round u to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -0.3 (b) 4 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose -2*u + u + 3 = i. Suppose u*r - 4*w = -6*w - 1, -2*w - 10 = 0. Solve 16 = -r*k + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179.6967 + 4.8358. Let b = -0.0325 + t. Round b to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67533?\nAnswer: 3, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 11*b**2 - 10*b + 5. Let q be m(10). Suppose 10 = q*g - 10. Let c be 36\/(-21) + g\/(-14). Let n(h) = -h**3 + 3*h + 1. Calculate n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = 66 - 131 - 30. Suppose 2\/3 + 2\/3*l**s - 4\/3*l**2 - 4\/3*l**3 + 2\/3*l**4 + 2\/3*l = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 0*b - 9009 = 0. Suppose -4*s + 2*a + b = -1451, -3*a = 2*s - 1056. What is the remainder when s is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * -60196.62.\nAnswer: -15049.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 17*r**2 - r - 20. Let q be d(-17). Let m be (138\/(-2))\/q - -5. Suppose 2*x + 180 = 5*b, -5*x + 73 + m = 2*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*u**2 - 78 + 448*u - 16*u**2 - 449*u - 13*u**2 to the form d*u + s + b*u**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/17 or -1\/58?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/13*r**4 - 8\/13*r**3 + 8\/13*r - 2\/13*r**2.\nAnswer: 2*r*(r - 4)*(r - 1)*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19959 or 930\/7?\nAnswer: -19959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 721, 716, 703, 676, 629, 556, 451, 308?\n\"Answer: -i**3 + 2*i**2 - 4*i + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 4)*(3*y**2 + 0*y + 0*y)*(-2*y - y**2 + 4*y + 0*y).\nAnswer: -24*y**4 + 48*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 3*z**2 - 23*z - 14. Determine d(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = c + 68, 4*p + 325*c = 328*c + 99 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 1. Suppose -2*f - 33 = -107. Suppose 0*j + j - h - f = 0, -3*h = p*j - 185. Is j 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 2:47 AM and 8:09 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -2\/7 (c) -2\/30639 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 3. Let m be k(-4). Let y = -4 - -3. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*x + 3*r, 4*r = 4*x - 8. Let w(m) = -43 + 2*m**3 + 2*m + 5*m**2 + 5*m**x + 56. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.3. Let p = -9.95 + 9. Let t = p + -1.05. Sort -1\/5, c, t in increasing order.\nAnswer: t, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 1. Let d(v) = -3*v**2 - 4 + 1761*v - 1761*v. Let j = 13 - 9. What is j*m(b) + d(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/((-42)\/20)*-3. Let r(q) = 2*q - w + 0*q - 7*q. What is the tens digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 126 + 0*u**3 + 3*u + 16\/5*u**5 - 1\/2*u**2 + u**4. What is the second derivative of t(a) wrt a?\nAnswer: 192*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, c: 4}. Give prob of sequence dddc.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1, h: 2, e: 2, g: 5, b: 1}. Give prob of picking 1 g, 1 b, and 1 h.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - 532003 + 532007 + 124*k**2 + 6*k to b*k + w*k**2 + u and give w.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 8, d: 1, u: 3, z: 3, c: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*z = 43, -49*z - 264 = -2*x - 76*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2769926876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 42. Let m be t(26). Let w be 4\/m + (-15)\/(-20) - -12. Calculate the greatest common divisor of 26 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/630 + w**6\/72 - w**5\/20 + 7*w**4\/72 - w**3\/9 + w**2 - 687*w. Let u(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9972636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 14. Suppose 7*o = 4*o + 12. List the prime factors of l(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188595 = 12*z - z - 55374. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -896, -1443, -10, 3, -1 in ascending order.\nAnswer: -1443, -896, -10, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25184653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 1321?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001363908989 to 5 decimal places.\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*z + 21, -n = -5*z + 10 + 3. Suppose -a + 3 = -n. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3609812795.\nAnswer: 5, 151, 419, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84097, -672711, -2270357, -5381545, -10510785, -18162587, -28841461?\n\"Answer: -84085*g**3 - 6*g**2 - g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1323 and 170709?\nAnswer: 10754667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*k - 29, 5*k + 2 = -z + 7. Let f = z + 2. Sort -1, f, -5 in ascending order.\nAnswer: -5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -499251\nAnswer: -11\/499251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 - 5*x**4\/12 + x**3\/2 + 18*x**2 + 2064*x. Calculate u(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2. Let k(f) = f - 2. Let d(x) = 4*x - 9. Suppose -3*w - 4*r + 10 = 0, -4*w + 5*r = -2 - 1. Let u(q) = w*d(q) - 9*k(q). Calculate u(y(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4737402 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -219226704 take away 3?\nAnswer: -219226707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, -0.5, -2\/13, 0.02 in descending order.\nAnswer: 4, 0.02, -0.02, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-70))\/((2\/(-3))\/(-56 + 60))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5518, 48, -38 in decreasing order.\nAnswer: 5518, 48, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by -2?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = 1. Suppose 0 = y + f + f - 8, -f + 11 = -3*y. Let v = y - -1. Put v, q, 2 in increasing order.\nAnswer: v, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -10. Let r = -44\/9 + 131\/36. Which is greater: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82 or 78?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -142 - ((-133 - 31) + 99).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 2*c. Let g be p(-4). Let v = -5 - g. What is the derivative of 2 + 3*b**3 - 7 - b**3 + v wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253275 divided by -15\nAnswer: 16885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12980325 and 1425.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10578 + 12509. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 47*g**3\/6 + 77*g**2\/2 + 90*g + 34. Let a(j) be the first derivative of s(j). Find the first derivative of a(w) wrt w.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.0717*-191.\nAnswer: 395.6947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:39 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*f - 957, 2*r + 2883 = 5*r + 3*f. List the prime factors of r.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3241 - -4152?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 + 2*f - 3 + 2 + 0 in the form w*f**4 + s*f**2 + h + r*f + g*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-1 + -3) + -4. Let g(k) = -k + 2. Let z(i) be the second derivative of -i**3\/3 + 2*i**2 - 83*i. Calculate t*z(a) - 5*g(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -188 (base 12) to base 14\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/2 + 39*w**3\/2 + 111*w**2\/2 + 109*w\/2 + 18 = 0. Calculate w.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*u**2 + 2*u.\nAnswer: 2*u*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-9))\/(-2)*(0 - -6). Put 0.16, y, 0.5 in decreasing order.\nAnswer: y, 0.5, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2*(-10)\/25*(-255)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -4, -2, 14 in ascending order.\nAnswer: -8, -4, -3, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18275099 (base 10) to base 11\nAnswer: a352397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 111787, 223507, 335229, 446953, 558679, 670407, 782137?\n\"Answer: v**2 + 111717*v + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/81 (b) -514 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 4 = 5*w. Suppose 11 = -g + 2*m + 24, -3*g + 5*m = -36. Let f = w - g. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-210)*((-2)\/6 + (-111)\/(-9)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 20*u**4 + 174160*u**3 - 15*u**2 - 130615*u + 43540 = 0.\nAnswer: -8708, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5233585 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6.613 times -0.032845\nAnswer: 0.217203985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19547501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 23*x**2 - 25*x - 16. Let j be u(-24). What is the units digit of 21\/56 + 2133\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247170 is divided by 2247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-30) - (-17)\/(-35). Let d be ((-2)\/4)\/(56\/(-32)). What is the closest to 0.2 in h, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 4}. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 + 2244228*u**3 + 559605732048*u**2 + 46509205077974208*u - 744290549507546112 = 0. What is u?\nAnswer: -249364, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0*m**3 + 3*m + m**3 - 5*m**2 - 7 + 0*m**3. Suppose -y - 45 = -15. Let n be y\/(-9)*3\/2. Give z(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29697 and 466.\nAnswer: 13838802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 746.7072 years?\nAnswer: 7.467072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*y + 2*z, -z - 3*z - 20 = 0. Suppose 2*b + y = 4*h, -2*b - 17 + 5 = -2*h. Let c(s) = 7*s**2 - 3*s - 2. What are the prime factors of c(b)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 621843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37488*s**3*t*x**2 + 2*s**3 - 16*s**2 - t*x - 201*t + 1 with respect to x.\nAnswer: -74976*s**3*t*x - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8 = 2*x, -z + 5*z + 16 = -4*x. Suppose 2*s - 4*h = 20, s - 4*h - 18 = -z*h. Differentiate -3 + 0*b**4 - s*b**4 + 1 wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141383397299 plus -3?\nAnswer: 141383397296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/40)\/((-30)\/(-4)). Let t be 1\/3 - (-5)\/(-24). Let i = 0.96 + -0.92. Which is the biggest value? (a) t (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/140 - (2 - (-82)\/(-10)). Suppose 11*y = n*y + 70. What is the remainder when 60 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-14))\/(-4))\/((1144\/(-220))\/(16\/(-5))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95\/528 + -1\/132. What is the common denominator of (-124)\/1023*75\/2 and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1105 divided by -221.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1150, -1343, -1484, -1579, -1634, -1655, -1648?\n\"Answer: -x**3 + 32*x**2 - 282*x - 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/270 and -107\/594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1410 by -25.\nAnswer: 282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-135)\/(-20). Let s be 14\/4*1\/g. Factor -s*p**3 + 0 + p**2 + 0*p.\nAnswer: -p**2*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3951*c**2*u**2 - 2*c**2*u + 7*c*u**2 + 2*c + 17*u wrt c?\nAnswer: 7902*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let l(p) be the first derivative of 7*p**4\/4 - p**2 + p + 14. Is 3 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 - 10*p**4 + 80*p**2 - 556*p + 9 wrt p?\nAnswer: 60*p**3 - 120*p**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.72 + 3.7199351. Round h to 6 decimal places.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 67*k**2 + 2*k - 5. Let r(i) = i**3 + 31*i**2 - i + 3. Determine 5*r(y) + 3*z(y).\nAnswer: 2*y**3 - 46*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and 2.31?\nAnswer: -0.3003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 1035*n - 2050.\nAnswer: -5*(n + 2)*(n + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.5 * 1.22.\nAnswer: -48.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1 + 57415*d + 1 - 57421*d. Let a(l) = 32*l**2 + 1. Calculate a(g(q)).\nAnswer: 1152*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12124 by -6062.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3994490*c**2 - 3610836*c wrt c?\nAnswer: 7988980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236 - -7465. What are the prime factors of m?\nAnswer: 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1) + 120 + (-6 - -1). Suppose -19 = -4*f - 5*a - 71, 62 = -3*f + 2*a. What is the tens digit of (-644)\/(-6) + (p\/f - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -17 + -11 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 99 - 312. Suppose 40209*t + 5440 = 40305*t - 416. What is the remainder when c is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 1051*b - 22634. Determine u(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**4 + 128*f**3 + 1236*f**2 + 2392*f - 10816 = 0.\nAnswer: -13, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(32\/(-712)))\/(2 - 1). Suppose -3*g + j + 419 = -r, 0 = -5*g - j + 860. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330 - 36411?\nAnswer: -36741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 304*k**2 + 129800*k + 317102065?\nAnswer: 608*k + 129800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n - 8*n + 21*n - 4470 - 4081 + 2860 as i*n + r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(931)*2 - (sqrt(931) - (sqrt(931) + -2 + sqrt(931)*2))) + -4)*1)**2 + -2.\nAnswer: 504*sqrt(19) + 33550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 25 = 4*i - 22, 4*v - 112 = 3*i. Find a such that -4 - v*a + 15*a + 7*a**2 - 3*a**4 + a**3 + 16*a - a**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439.215l in millilitres?\nAnswer: 5439215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -947 + 950. Suppose 0 = -5*r + 5, 2*u = -0*u + 2*r + 8. Suppose -4*q - q + 3*w = 6, 4*w = -u*q + 8. Solve q*f = -f + k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9815896, -19631804, -29447712, -39263620, -49079528, -58895436?\nAnswer: -68711344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 195\/8?\nAnswer: 195\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -34*d - 1491. Calculate n(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94818 + -468554. Let d = u - -60736. What is d rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110.68 - 111. Let x = 627.31974 + -627. Let k = l + x. What is k rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -5)*(-4)\/3. Let p(f) = f**2 + 5. Let t be p(i). Solve 3*s - 3*c - c + t = 0, 4*c = 4*s + 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 2*a**2 - 2*a)*(2*a - a + 0*a) + 3*a**3 + 0*a**3 + 2*a**3 as b + u*a**2 + h*a**3 + v*a and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 3. Let l be t(3). Suppose l*w - 3*g = -3*w + 18, w + 4*g = -19. Solve 3*m = 2 + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5925 - 35?\nAnswer: 58d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 19\/2, -11 in descending order.\nAnswer: 19\/2, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3193 - 3192.999998723. Round f to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 27910*y**2. Let t(u) be the first derivative of 2*u**3\/3 + 2224. What is t(v(p))?\nAnswer: 1557936200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -511057?\nAnswer: -40884.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39967381?\nAnswer: 39967381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13005 is divided by 949.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19678457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from fnficfciif?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133605 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(4\/9)\/g)\/g*g**(-23)\/g assuming g is positive.\nAnswer: g**(-221\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-15)*(-3)\/(-12)*875\/(-25)?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-4\/13))*y**(-16))\/(y**(-12)\/(y*y\/y**3*y)) assuming y is positive.\nAnswer: y**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 40, -16, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1151*t**2 + 3*t - 3*t.\nAnswer: 1151*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 + 122*z - 446 - 356 + 1866 - 352 - 359.\nAnswer: 122*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -372954262 and -0.4?\nAnswer: 149181704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhcvhccchccy. What is prob of picking 1 v and 1 y?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 + 184. Suppose -3*s = -i*s - 24. Solve -14*x = -8*x - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l = 66*l + 14*l - 432 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-4*sqrt(40)))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1136, -2274, -3412?\n\"Answer: -1138*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -66*t**3 + 1. Let m be q(-1). Let x(s) = m + s - 67. Let r(z) = -2*z**2. Give x(r(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -527812, -527811, -527804, -527785, -527748, -527687?\n\"Answer: h**3 - 3*h**2 + 3*h - 527813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 3*m + 0*m + 2*m + (2 - 2 - 2)*(5*m**4 - 2*m**4 - 4*m**4).\nAnswer: 4*m**4 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79557750 and 50247?\nAnswer: 238673250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19260000 rounded to the nearest 100000?\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from {q: 1, f: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {v: 1, r: 11, s: 1}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 31 - (-27528)\/(-740))*5\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1003 - 2007 + 117*w + 1005 + 0*w - 2*w + 0*w + 3*w - 2*w - 2*w + (-4 + 3 + 2)*(1 - w - 1) - 4*w - 2*w + 4*w + 1 - w - 1 + 3*w - 3*w + w.\nAnswer: 111*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let y(b) = -7*b - 5. Suppose m + 3 = 4*m, g = -5*m + 10. Let k(j) = g*x(j) - y(j). Let q(a) = a**2. Calculate q(k(s)).\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107958138 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -6. Let c(v) = v + 10. Let g be c(l). Let m(k) be the first derivative of k**2\/2 - 4. Determine m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 7*a**2 + 5*a - 4. Let i be x(-6). Let d(p) = 27*p + 2 - 9*p - i. Let c(t) = -11*t**2 + 23*t**2 - 10*t**2. Determine d(c(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -16. Solve -z = t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 9*z - 15. Let v be s(-7). Let b be (4 - 1) + 1\/(v\/(-3)). Suppose 4*n = b*n - 52. Calculate the remainder when 47 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-341)\/22*(-2 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g + 79. Calculate q(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Let n be -5 + q - (2 + -4). Which is smaller: -2\/5 or n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-38)*(-64)\/(-16). Let x = q - 61\/152. Which is the closest to -2\/7? (a) -5 (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 153, 661, 1515, 2721, 4285, 6213, 8511?\n\"Answer: p**3 + 167*p**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143)*3*2 - sqrt(143)) + sqrt(143))*-2)\/(1*sqrt(55)\/sqrt(5)*3)*-1.\nAnswer: 14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1047 in 0, 1\/7, -6\/11, 0.1, 5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854365893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 15*r + 38. Let o be l(-4). Let b = 0 - o. Calculate the smallest common multiple of b and (-4)\/6*(0 - 18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from sssd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41422 is divided by 268.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -57. Let u = 32 + v. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2690\/109 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601781 bigger than 3601783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27833 and 3080899.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90\/11, -8, 4\/5, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*k**2 - 33*k**2 - 3*k**3 + 2*k**3 + 12)*(k**2 - 3*k**2 - k**2).\nAnswer: 3*k**5 - 9*k**4 - 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 60, 291, -0.4, -17, -10\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38808 by 616.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47298631 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 86. Let a = c - -15. Let f(x) = -176*x + 65. Let m(j) = -39*j + 16. Let h(u) = -2*f(u) + 9*m(u). Give h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 0. Let v be (j\/(-32))\/(1\/(-16)). Let d be ((-6)\/v)\/((-9)\/42). Calculate the greatest common divisor of d and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 36*z**2 + 20*z + 218. Does 119 divide s(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, 0, -8531, -0.3, -68?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*m**3 + 4*m**2 + 301*m?\nAnswer: -48*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/t)**8*t**5*((t*t*t\/(t*t**(-4\/7)\/t*t))\/t)\/t*t assuming t is positive.\nAnswer: t**(62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3225134 is divided by 3225115?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*x**5 + 27*x**2 - 3*x - 10 wrt x?\nAnswer: 180*x**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 519*n**2 - 3*n + 3*n + 143*n**2 + 1470*n**2 to the form k + b*n + m*n**2 and give m.\nAnswer: 2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:30 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1038 - -1041. What is the closest to 0.07 in i, -5, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616352 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*b**3*u**3*z**2 + 2*b**3*u**3 + b**3*u*z**2 - 2*b**2*u**3*z + 2*u**2*z - 3*z**2 - 87*z wrt z.\nAnswer: 60*b**3*u**3 + 2*b**3*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209256 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23891 is divided by 1257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - ((4 - (-2 + 1)) + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 62. Let w be 1 + u\/12 + 10\/(-60). Solve 3*i + 2*i - 15 = w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*v - 4038. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/169 and 62\/((196\/35 - 4)\/(6\/(-20))).\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 12*f**2 + 10*f - 2. Calculate z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 18*c + 4338. List the prime factors of w(0).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264.4 - -264. Which is the fourth biggest value? (a) -2 (b) -7\/5 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 1) + 7 + -13 - -1) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 17 + 42 + 3*d. Let i be y(-10). Solve -2*g + 3 = -i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - 0. Let t = -18.8 - d. Let y be (13\/((-78)\/12))\/((-2)\/(-3)). What is the second smallest value in t, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40591 = 20*g - 20409. Is g a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 6*m**2 + 0*m**2)*(1 + 1 - 4) - 168*m - 85*m**2 + 168*m.\nAnswer: -89*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 4*y - 2. Suppose 2*z + 16 - 4 = 0. Let k(x) = x**3 + 7*x**2 + 6*x + 5. Let p be k(z). Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(2\/(-6) - -1). Let o be (0\/(-1))\/(1 + -3). Suppose -f*i + 42 = -o*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -512 * 395496\nAnswer: -202493952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 4. Let v = -39 - -27. What is the common denominator of l(-7) and (3\/v)\/(6\/248)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 6430?\nAnswer: -6421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89 + -4b69?\nAnswer: -4ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3313*a**2 + 9350*a**2 + 2874*a**2 + 3227*a**2 + 9001*a**2 - 194*a**2)*(-2*a + 2*a + a).\nAnswer: 27571*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522020300 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6580.90195 - 6581. What is j rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + q**3 - 140*q**2 - 446*q**2 + 32*q**2.\nAnswer: 2*q**3 - 554*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.185*2.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*14\/175)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4016 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12*p*p*p**(-2\/35)\/p*p*p)\/(p**(-7)\/(p\/(p*p*p**(3\/16)\/p*p)*p)))**(-1\/25) assuming p is positive.\nAnswer: p**(-12183\/14000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 21*v**2 + 3*v - 81. Is y(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 8*b + 7. Is 12 a factor of n(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s + 12. Let d(z) = 9*z + 13. Let h(o) = -4*d(o) + 5*k(o). Let m be h(-8). Solve 4*i - m = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, h: 5, q: 3}. What is prob of picking 2 h?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3064 - 3063. Let l be (1 - 3) + (-2)\/(-4). What is the nearest to l in 0, 0.5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h - 8*h + 206*h.\nAnswer: 279*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16166, -32329, -48486, -64637, -80782, -96921, -113054?\nAnswer: -129181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m. Let o be g(3). Suppose o*j = 3 + 9. Solve -5*w + 3*u = 0, -j*w + 4*u = 5*u + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 + 39*z**3 + 5*z**3 - 11*z**3.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 5:37 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67\/15 + -19\/5. Let f = -525 + 489. Let r be (-8)\/f*-3 + 20\/(-30). What is the biggest value in 0.45, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.6 - -3.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-2 + 12\/27)\/(6\/(-24))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8 - 0. Let n be (4 - a)*(-20)\/(-3). Suppose -6*r = -4*r - 80. What is the highest common divisor of n and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 652 - 659. Put 6, -1, s, 5 in descending order.\nAnswer: 6, 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m - 11. Calculate the smallest common multiple of 511 and d(3).\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p + 8. Suppose -5*d = 3*y + 2*y + 55, 4*y - 5*d + 26 = 0. Let r be v(y). Sort -2, r, 2, -4.\nAnswer: -4, -2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 50. What is the greatest common factor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*k = 369, 12 + 510 = -4*b + 2*k. Let d = b - -9. Let t = d - -296. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 7, c: 5, f: 2}. Give prob of sequence cpp.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/95*(-5)\/(-3). Which is the closest to t? (a) 0.5 (b) 0.1 (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r**2\/r*r*r)\/r)\/r)*r**5\/r assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/((-476)\/49 + 10). Let l(s) = -60*s + 4. Let a be l(-2). Let w = a + 16. Calculate the highest common factor of d and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 4:13 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 7*c - 6. Let t be i(6). Solve t = -4*r + 2*w + 4, 5*r - 3 = 2*w + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -143185156*b**3\/5 - 1861526688*b**2\/5 - 311121*b - 65 = 0.\nAnswer: -13, -5\/11966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Let q(v) be the third derivative of -1\/24*v**3 + 0 + 0*v + 1\/48*v**4 + s*v**2 - 1\/240*v**5. Factor q(f).\nAnswer: -(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.93 + -18.93. Let w = -1\/55 + -269\/330. Which is the nearest to w? (a) t (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8239, -18, -33 in increasing order.\nAnswer: -8239, -33, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 26*q - 3009. Let x be r(88). Are x and -720 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/15 - 4\/12. Let k = -4.97 - -4.97. Put -0.2, -0.6, k, z in increasing order.\nAnswer: -0.6, -0.2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -31, -43, -59, -79?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -831a0a8 + 9?\nAnswer: -831a09a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stsvgg. What is prob of sequence vgst?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050712 is divided by 1422?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*x**2 - 127732*x + 4010923 wrt x.\nAnswer: -24*x - 127732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 5. Let r be a(-7). What is the third derivative of 0*h**2 + 7*h**r - 5*h**3 + 6*h**2 + 16*h**3 wrt h?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 + 274. What is the nearest to k in -2, 0.4, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165 + 170. Solve 10 + 5 = -t*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 39*j**2 - 6*j + 9. Let t(g) = -9*g**2 - 1. Calculate -4*t(h) - y(h).\nAnswer: -3*h**2 + 6*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - 112\/(-40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -151, -341, -607, -949, -1367?\n\"Answer: -38*h**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -189?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 3*z**2 - 7*z + 6. Let s be o(4). Let r be (s\/(-5))\/((-10)\/(-25)). Solve -1 = 3*x - 2*p + 8, -9 = r*x - 5*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10*k**3 - 634*k**2 + 220*k + 2016 = 0.\nAnswer: -8\/5, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*f + 1195 + 1604 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -0.32507.\nAnswer: 2.67493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let t be (42\/15 - 1)*5. Let w be (-2)\/6*(6 - t). Let k(i) = -i**2 - 6*i + 5. What is w*k(b) - 4*h(b)?\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 296453 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/15 - 0 - (-4)\/(-6). Sort -3, q, 1, 18.\nAnswer: -3, q, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65730523.78106 - 5.5\nAnswer: -65730529.28106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2494 = 609. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640532661?\nAnswer: 3, 213510887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/105 and -7\/2255.\nAnswer: 47355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*1 + (-1 + sqrt(13))*5 - (((0 + sqrt(832))*4)**2 + sqrt(832) + sqrt(832)).\nAnswer: -13317 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x. Let i(u) be the third derivative of u**4\/12 - 3*u**2. Let l(r) = -3*b(r) + 8*i(r). Let s(w) = -11*w**2 + 3*w**2 - 2 + 2. Calculate s(l(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 219 = -3*o, 4*o - 288 = 17*s - 13*s. Let w = 72 - o. Suppose 5*c - 2 - 3 = 0. Solve w = -2*n - c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = o + 49 - 123, 4*o = -5*j + 375. Let k = -76 + j. Which is bigger: k or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b**2 - 47*b**2 + 90*b**2 + 26*b.\nAnswer: -b**2 + 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467173834?\nAnswer: 2, 211, 1107047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = 5*j - 184, j - 43 + 35 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*d - 65*d + 450 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:27 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(171)\/(sqrt(18)\/sqrt(2)))**2 + -1.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 220*n - 1539. Let q be j(7). Sort 3, -3, q, -1, -27 in ascending order.\nAnswer: -27, -3, -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 19 = -27*w + 92*w. Suppose -5*t - 5 = 3*l, 2*l - 2 = -0*t - 2*t. What is the closest to 2\/7 in t, w, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36125431 by 2.\nAnswer: -36125431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -180 and 4012.5.\nAnswer: 3832.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -79066.18247 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) -2.1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -158. Let m = -16 - y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**8\/240 - f**7\/420 + 2*f**3 - f**2. Let g(u) be the first derivative of x(u). Factor g(r).\nAnswer: r**3*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (22\/(-44))\/((-1)\/278). Let s = 177 + l. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 16*u - 4 = 0. Let c be ((-3)\/(-6))\/(-1) + 1. Sort 0.3, u, c.\nAnswer: 0.3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*d + 2298, 0 = 2*o + o + 2*d - 3431. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-27 + 22 - -3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123417.\nAnswer: 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 387\/(-215)*10\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 41*w**2 + 19*w - 71. Is q(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306408?\nAnswer: 2, 3, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.89627 - -0.10373. Is 9.33 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 1464.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.02 (b) -5 (c) -1 (d) -1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let m(j) = -2*j + d*j - 2*j. Let t(r) = -4*r**2 + 4*r**2 - 2*r**2. Calculate m(t(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5329 + 5326. What is the fourth smallest value in 2\/17, x, 2\/7, 0.12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + 3 + -22 + -17 + 8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(4*(-9)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283968385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 1.8. What is w rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(5278\/(-2523)) - 11?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - z. Let p be k(1). Find the second derivative of -p*o**5 - 4*o**5 + 6*o + 4*o**5 wrt o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x*x**(-1\/10))**(4\/5)*(x**1)**(14\/9)\/(x**(-6)*x**6) assuming x is positive.\nAnswer: x**(692\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14119593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 2712*i - 2708 = 0. What is i?\nAnswer: -677, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzhzzzkkkzkz. What is prob of picking 1 z and 1 h?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-10))\/(-4)*-5. Let b be 4 + -8 + (4 - l). Let x be (-27)\/(-4) + b\/(-4). What is the highest common divisor of 35 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3439.346 to the nearest 10.\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 6. Let o = -6 + 11. Let f be n(o). Solve -h = -5*g - 29, g = -f*h - 0*h + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -608 - -615. Let f(g) = -2*g**2 - 2*g + 1. Let q be f(1). Put 0, q, a in ascending order.\nAnswer: q, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(2\/12*-3). What is the hundreds digit of 0 - 257*p - (2 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 781416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 467977997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65018*i**2*r*t + 31*i**2*r + 26692498*i*r - 6*i*t + r*t wrt i?\nAnswer: -130036*r*t + 62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159\/40 + 35\/8. What is the fourth biggest value in 2, r, -5\/4, -0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 19. Suppose 278 = 25*u + 3. What is c(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -576 or -10916\/19?\nAnswer: -10916\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*s + 186 = 0, -4*s - 13 = -1. Let z be x\/(-40)*100\/(-6). Let a = 21 + z. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -70082.\nAnswer: 14\/35041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/11936 and -23\/37304.\nAnswer: 55657568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u + 6*u + 5*u + 5*u to the form a*u + m and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 613583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gngn when four letters picked without replacement from gngggggngggg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*o - 38765 = 0, -3*q - 2*o = -30825 + 7566. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 24 = 6*n, -2*n + 4 = -4*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3\/20*k**5 - 2*k + 0 + 0*k**2 - 1\/2*k**3 + 0*k**4. Suppose f(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -155, -473, -1011, -1775, -2771, -4005?\n\"Answer: -f**3 - 104*f**2 + f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*i**2 + 5*i**4 + 23*i**2 - 11*i**6 + 17*i**6 - 2*i wrt i?\nAnswer: 720*i**3 + 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:28 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212481 and 450.\nAnswer: 10624050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a\/(a*(a\/a**(-2\/71)*a)\/a*a))\/a)\/a*a)\/a**(-13) assuming a is positive.\nAnswer: a**(779\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y - 7. Let p be r(5). Let s(m) = -5*m**2 + m + 5. Let u be ((-8)\/10)\/(2\/(-5)). Let l(g) = -3 + 5*g**2 - 1 - g**u. What is p*l(i) + 2*s(i)?\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*n - 3*m, 0*n + n = -3*m - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 269, -338, -1439?\nAnswer: -3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 9*u - 18. Let q = -3 + 5. Suppose q*w = 5 + 3. Solve -3*x - 16 + 5 = w*i, 2*x + i = -u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/15)*h**(-11))**(-41)*(h**1*h*h**9*h)\/((h**0*h)\/h*h*h)**27 assuming h is positive.\nAnswer: h**(6176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -852595 or -852619?\nAnswer: -852619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-238)\/85)\/(2\/5) - (3 + -120651) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.255 + -0.255. Let r = 0.509999578 + c. What is r rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 225585042 + 2?\nAnswer: 225585044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - f = -681, -160 = -l + f - 19. Suppose -17*n = l - 494. Calculate the lowest common multiple of 33 and n.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5213 + 0?\nAnswer: 5213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - (1 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/2 + 5*k**2 - 320*k. What is a(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 12. Let m be (14\/(-18)*-3)\/((-67)\/201). What is n(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*g = -1006*g - 33 - 58 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 109 - 110 - (0 - (138 + -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 5194450 = -2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.36 (b) -36 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -25*c**2. Let z(g) = 514*g**2 - 160*g**2 - 160*g**2 - 172*g**2. Calculate u(z(b)).\nAnswer: -12100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23241023 - -4322?\nAnswer: 23300400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Let n(b) = 32*b + 12. Give r(n(h)).\nAnswer: -1024*h**2 - 768*h - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*z + 61, 32 = 4*z - o - 46. What is the second derivative of z + 10 - 8*s + 99*s**2 - 29 wrt s?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15535*c**6 - 4*c**5 + 153725*c**2 wrt c?\nAnswer: -1864200*c**3 - 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 3. Let v be w(0). Suppose 2 = v*a - 4. Solve -a*u - 5*z = -u + 15, u + 13 = -4*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 473*i - 44472 + 17038 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.08, -16, 18979?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 0, 3\/8, 2, -4\/295?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4719\/3 - (12\/(-2) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-378)\/(-1701))\/(8\/(-18)). What is the nearest to -1 in -1\/15, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f - 17. Let h = 9 + -7. Let a(b) = 3 + 2*b + 1 - 2 - 4*b**2 + f*b**h. Determine a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o**3 + 19*o + 13. Let z(a) = 47*a**3 - 37*a - 27. Let h(j) = 5*g(j) + 3*z(j). Let r(w) = -5*w**3 + 3*w + 3. What is 3*h(l) + 16*r(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usuu when four letters picked without replacement from sssussusus.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + -3 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12071 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 smallest value in 1, -0.198, 39?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*l - 14. Let b(d) = -3 + 4*d + 2*d - l. What is the tens digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 9*b**2 - 2*b + 12. Let d be f(-10). Let h = 259 - d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1042 - 1041.771. Let k = -203 + 203. Is k less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -9 (c) -53332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -445370, -890405, -1335440, -1780475?\n\"Answer: -445035*p - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3374.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17053 times -2.1?\nAnswer: 35811.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:52 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66901, 133732, 200563, 267394, 334225?\nAnswer: 401056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29336677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424086476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.1, 3\/175, -1\/4, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4 + 4 - 6 + 4 + (-1 - 2 + 2)*(-2 - 2 + 2))*(-12*p**4 + 20*p**4 + 8*p**4).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/12 - -4 - 6\/(-9). Let r be p\/((-2)\/(-8)) + -2. Suppose 0 = 3*t - r*k - 100, k = -t - 4*k + 39. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(-564)*-45)\/((-70)\/16)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/15)\/((-3)\/(-5)). Let x(f) = f**3 + 4*f**2 + f + 4. Let g be x(-4). Suppose -4*a + 0*a = g. Is u at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 40, 78, 130, 196?\n\"Answer: 7*c**2 + 3*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, 1, 12, 23, 34?\n\"Answer: 11*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1228172694 and -28.1.\nAnswer: 1228172665.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 3. Let y(w) = -14*w + 8. Let s = 516 + -512. Determine s*y(u) + 11*o(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/161 (b) -2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 5*i**7\/21 - 5*i**4\/12 + 4*i - 8. Let k(v) be the first derivative of d(v). Find the third derivative of k(j) wrt j.\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t + 137\/6*t**3 + 0 - 6*t**2. Is r(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1367 - 611898.\nAnswer: -610531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1775 - -3333. Suppose w - 6224 = -2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.56320308 to one decimal place.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i)**(4\/17)*i**3\/(i*(i**5*i)\/i) assuming i is positive.\nAnswer: i**(-55\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(1 + 2 + -4). Suppose 0 = -n*j + 943 + 1462. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + 7 + -11 + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a + 10. Let q be w(-5). Suppose 3*t + q - 894 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015750937.\nAnswer: 1181, 860077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5528 times -0.98011\nAnswer: -5418.04808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59 and 34397?\nAnswer: 34397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k**2 + k - 3. Let p(g) = -2*g**3 + 46*g**2 + 242*g + 198. Let o(t) = 2*m(t) + p(t). Factor o(d).\nAnswer: -4*(d - 16)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 23*d - 3*w = 6, 7*d - 2*w = 34. Let g(p) = 5*p - 19. Calculate g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:55 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12181590 and 162?\nAnswer: 12181590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21751 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3559590, -3559594, -3559598?\nAnswer: -3559602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, 61, 94.\nAnswer: 4\/17, 61, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19f763 (base 16) to base 6.\nAnswer: -100250215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c - 514*c**3 - c**4 + 514*c**3 + (-4*c + 2*c + 0*c)*(59*c**3 - 3*c**3 + 102*c**3) to the form q*c**4 + g*c**3 + a*c**2 + h + n*c and give q.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 4*x + 2. Let q(r) = 4*r + 21. Let z be q(-4). Let k(v) = 2*v**2 - 2*v + 1. Let a(f) = z*k(f) - 5*w(f). Factor a(c).\nAnswer: -5*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25406.163us to days.\nAnswer: 0.0000002940528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21513140 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:23 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {g: 1, c: 1, s: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:22 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*i + 5 + 5091*i**3 - 5092*i**3 + 143*i - 2*i**4 in the form d*i**2 + u*i**4 + f + c*i + s*i**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168 + 177. Solve -7*d = -10*d - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose 0 = 2*q + t*q. Let k(w) = 4*w**3 + 2*w**2 - w - 4. Let l(x) = -11*x**3 - 5*x**2 + 3*x + 12. Let n(y) = -8*k(y) - 3*l(y). What is n(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/132 - (-20)\/(-11)) + 56. What is the highest common factor of 450 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671 = -4*b + 11809. Suppose 3*v + b + 3384 = 0. Let k = v - -4425. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:55 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) 5 (c) 55\/6 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29 and -2249078518.8.\nAnswer: -2249078547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*g + 7998 + 4630, -3*g = 6. Suppose -z = -47*f + 39*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*o + 3*o - 146 + 209)*(-2 + 0 + 0)*(-4 + 0 - 1).\nAnswer: -240*o + 630","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 41.7?\nAnswer: 8.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrrfbfbhfffr. What is prob of picking 2 r, 1 f, and 1 b?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 208*g**3 - 2388*g**2 + 11016*g + 69984.\nAnswer: -4*(g - 6)*(g + 4)*(g + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8102.688 - -1.35?\nAnswer: 8104.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 14 = 5*k - 2*u, 5*k - 3*u - 29 = 0. Let h = k - 1. Let a(b) = 2 - h*b - b - 1. Calculate a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose -53 = x*m - 193. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 i, and 1 x when four letters picked without replacement from qqzxpxqqqxzzqizqzi?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 t when three letters picked without replacement from {g: 1, t: 10, m: 2, o: 1, y: 1, w: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - (-45642)\/8)\/(2\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 6*q + 546. Let k = -15 - q. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 2. Calculate the remainder when s(-4) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13702*a = 13776*a + 1110 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16376\/(-1104))\/((2\/(-2))\/6). Solve -116*t = -l*t + 108 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*b + 2*g, 0 = -g + 5*g + 16. Let o be b - (1 + -1)\/3. What are the prime factors of 2*o\/(16\/172)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 2.5. Let p = x + -1.3. Let z be (2*2)\/(0 + -1). Which is the closest to p? (a) z (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from parfkor?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1)*((3 - 15) + 13). Put 51, 1, w in decreasing order.\nAnswer: 51, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -59, -9, 1 in decreasing order.\nAnswer: 1, -2, -9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -358.\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.074241 rounded to one dp?\nAnswer: -121.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbch when four letters picked without replacement from {c: 2, f: 1, h: 1, b: 5}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*l - 48, 868*l - 865*l = -4*p + 36 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 - 0.06. Which is the second smallest value? (a) -4 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 3813.\nAnswer: -1906.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11968475*k**4 - 2*k**3 + k**2 + 113234475*k.\nAnswer: -143621700*k**2 - 12*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 21 + 2 + 3*v**3 + 12 - v**2 as q + w*v**2 + j*v**3 + a*v and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12*(-54)\/(-16))\/(55\/((-394240)\/384))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 18 - 10 = -5*t, -3*k = -9. Suppose -7*q = -3*q - t. Solve -4*v + u = 6*u - 6, -4*u = -q*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 1. Let v(y) = -y**3 - 46*y**2 + 162*y + 5. Let m(h) = -5*r(h) + v(h). What is the second derivative of m(b) wrt b?\nAnswer: -6*b - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = -135. Let r = p + 7. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8 + 7*c + 0 + c**2 + 6*c - 11*c. Let q(y) = -2*y + 4. Let u be q(7). Does 35 divide o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c579 (base 14) to base 3\nAnswer: 100112110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140014850 to the nearest integer?\nAnswer: 11833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -3\/2 (b) 2\/13 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4520*p**5 + 29296852*p**4 - 40902024*p**3 - 47062996*p**2 + 23235088*p + 103728 = 0 for p.\nAnswer: -6483, -1, -1\/226, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10397726.\nAnswer: 2, 181, 28723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*l - 14, -27*l = -30*l - 5*t - 18. Solve -n + 4*n + b - 2 = 0, 2*n + 2*b = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19*r - 51. Is g(9) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.27 - 137.93. Let i = 172 + p. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 279981 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*z + 3*s + 2*s, -z - 2*s = 15. Let g be 3\/z - 854\/(-6). Suppose 4*l + 3*o = 196, -2*l + g = l + o. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*u - 17 - 18 + 117*u + 35.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4614, 4555, 4448, 4293, 4090, 3839?\n\"Answer: -24*y**2 + 13*y + 4625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105486066*h**2*n**3 - 67747966*h**2 wrt n.\nAnswer: 316458198*h**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:19 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.87 plus 4.3?\nAnswer: 10.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2820*v**3 - 1406*v**3 - 1411*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 13*p. What is the second biggest value in 3, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*k - 6 + 4 - 1.\nAnswer: -320*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -20399\nAnswer: 20399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -11 - (5 + 17 + -33 - 2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 305977915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*i + h - 11, -2*i + h = 2. Let v = i + 3. Solve 5*m = -v*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 911, -7, -0.4, 2\/3, 0, 1?\nAnswer: 911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, b: 1, g: 4, w: 1}. What is prob of sequence uwy?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*g - 19*g - 3*g**2 + 9*g)*(2 - 2 + 2) + (3 - 3 + 2*g)*(3*g + g - 3*g) as z*g + q + k*g**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1151, 1, -1\/5, -0.4, 1\/14?\nAnswer: 1151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 530\/21 + -1\/14. Suppose 0 = -3*f + 5*v - 259 + 104, -5*f - 2*v = 248. Calculate the common denominator of l and 165\/f - (-2)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8)\/((-7)\/71876*-151).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994262 to the power of 1\/2, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - 40\/(-7). Let p be (-2)\/6 + 14\/z. What is the second derivative of -o + o - p*o - 2*o**5 wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*3.3\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25636*k + 6416*k + 6405*k + 6412*k + 6410*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*a**2*k - 28*a**2*z + 6*a*k*z + 7*a*z + k*z wrt k.\nAnswer: 15*a**2 + 6*a*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1)*(m**(-4)\/m*m)\/m*((m\/(m**0\/m))\/m)**(-3\/16))**2 assuming m is positive.\nAnswer: m**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1198, 9436, 31788, 75310, 147058, 254088?\nAnswer: 403456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-85))\/(4\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -22*o + 4. Let k(d) = -110*d + 25. Give -2*k(m) + 11*y(m).\nAnswer: -22*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 - v - 6. Calculate g(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 269354917.21.\nAnswer: 269354906.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 17. Let z be b(19). Let t(q) = 2*q**2 + z*q + 60 - 6*q - 60. Let f(i) = i. What is f(t(u))?\nAnswer: 2*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641484 is divided by 24672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.1, 2\/5, 62.4, 4\/7, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0 + 0 + g. Let h(a) be the third derivative of -a**5\/60 + a**3\/6 + 2*a**2. Let r(o) be the first derivative of h(o). Determine z(r(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 + -97. Suppose 2*m = 5*f + 223, -11*m + f - s = -13*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1 - (28 - 26)) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 79*t - 83*t - 26, -31*t + 2811*d = 2809*d + 161 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + w**2 - 5*w + 3*w + 3*w**3 in the form d*w**2 + v + u*w + f*w**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0.3, -4, 305, 0 in descending order.\nAnswer: 305, 28, 0.3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13720 is divided by 13690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001160942 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:33 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.203 - 0.203. Let h = 0.05 - -0.45. What is the fourth biggest value in 1\/10, d, h, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2004 - 2?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjhxjsxs. Give prob of picking 1 s and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514245?\nAnswer: 5, 43, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + sqrt(448) + 0).\nAnswer: -48*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 112 - (56 - (126 - 68))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/8 and (-51)\/(-54)*(-168)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3 + 1. Suppose -3*o = -4*h + 17, 22 + 3 = 5*o + 4*h. Determine x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 - 22*l - 3. Let b be d(-9). Suppose -14*w + b = -13*w. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6320803076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.9? (a) -0.3 (b) 0.06 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**5\/2 + 33*w**4\/2 + 6*w**3.\nAnswer: -3*w**3*(w - 4)*(3*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1513669991?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174.3984 + 1.6016. What is the nearest to 4 in 2, 0.1, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/4 + f. Let v(b) = b - 7. Let l be v(9). Let k(u) = l*u + 0 + 0. Give k(m(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 7. Let f(l) = 39*l + 32*l + 5 - 69*l. Let o(g) = 4*f(g) + 3*x(g). Give o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + -10)) + (-82 + 123 - 42) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 38 = 3*u, 5*d + 20 = d. Suppose 3*p - 2*p = 0. Suppose 3*w + 8 + 16 = l, p = 4*l - 2*w - 56. Calculate the greatest common divisor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 136708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*c - 2*f, -5*c + 10 = 3*f - 8. Let u be ((-4)\/c)\/(3\/(-9)). Let r be ((u + -3)\/10)\/1. Which is greater: -2\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 202*q**5 - 7*q**4 - 3*q + 25. Let s(a) = -101*a**5 + 3*a**4 + a - 12. Let p(z) = -3*l(z) - 7*s(z). What is the second derivative of p(t) wrt t?\nAnswer: 2020*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 9*a + 8*a)*(-2 + 2 + 2).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214404.\nAnswer: 2, 3, 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428219 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 2.64774?\nAnswer: 0.2382966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -4*i - 7, -4*i = -4*h - 28. Let n be 1 - (i - (-5)\/(-20)). Let z = -7 - -5. Sort n, -1, z in decreasing order.\nAnswer: n, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/17 + 28\/51. Factor 0 + y*l**2 - 4\/3*l.\nAnswer: 2*l*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 21. Let l(q) = q - u*q - 605 + 610. What is l(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 22 + 44. Suppose -5*f + 5 = -10*f, 86 = 3*m + 4*f. What is the remainder when m is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:12 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 27*r + 256 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201 (base 3) to base 2.\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000116511399 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etezubtbubztez. Give prob of sequence bb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {h: 4, l: 7, t: 2}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:30 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*i + 465*i + 8 = 4*d, 8*i = 4*d - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**5 + 359880*n**3*v**3 - 19421*n**2*v**2 + 64*n**2 - 12*v**3 wrt n.\nAnswer: -420*n**2 + 2159280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 13\/2636 in ascending order.\nAnswer: -4, 13\/2636, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -677855, -1355685, -2033503, -2711303, -3389079, -4066825, -4744535?\n\"Answer: q**3 - 677837*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.065 - 0.065. Let y = -6841 - -6840.7. Which is the nearest to 1? (a) m (b) y (c) 1\/6 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17158001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Suppose -2*n + 1 + 5 = 0. Let r(k) be the first derivative of -2*k**3 + 6*k**n - 6 - 2*k**3 + 1. What is r(f(q))?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 109*o - 107*o + 14 = -6*u, -54*u + 2*o = 7*o - 29 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szs when three letters picked without replacement from {w: 1, z: 2, c: 1, g: 2, s: 2, j: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 106*d**2 + 1392*d - 2837. Calculate n(-118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -391. Let t = h - -249. What is the closest to -12 in 0.5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 18332472\nAnswer: 146659776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264115 - -81347509\/308. What is the common denominator of 47\/168 and t?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.006 - -0.194. Let k = -0.86 + -0.14. Let p = k - -20. Which is the third smallest value? (a) p (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, u: 5, r: 6, f: 1}. What is prob of sequence ru?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32811 and 11057307.\nAnswer: 11057307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*q + 3*l + 3, q + 14 = -5*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-65) - 115\/520. Suppose 0 = -12*r - 31 + 31. Which is the closest to r? (a) -2 (b) 7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887.11 micrometers in centimeters?\nAnswer: 0.188711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 12 = -15*i. Suppose -i*a = -19*a + 150. Find the common denominator of -38\/9 and 3\/a*(-340)\/60.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-13) - 6375\/(-1105)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185 or 36917\/200?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 4, l: 5}. What is prob of picking 4 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = 2*d. Let z(h) = h. Let t(j) be the first derivative of -7*j**2\/2 + 1. Calculate d*t(r) + 5*z(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565048 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78637830.\nAnswer: 2, 3, 5, 113, 23197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*r + 6*r. Suppose 0*v = -5*v + 3*u - r, -2*v = -2*u. Is 3 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 + 681*t**2 + 254.\nAnswer: 681*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -444 + 232. Let h = -58 + k. Is h\/(-21) - 3\/(-21) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 - 19 - 7*i**2 + 20 to the form v + r*i + z*i**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7251*f**3 + 179 - 521 - 1245*f**3 + 169 + 173.\nAnswer: -8496*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26997 divided by 3\nAnswer: -8999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9*l + 3 + (-4 + 2 + 1)*(0*l + 2*l - l))*(-43*l**2 + 740*l - 740*l).\nAnswer: -344*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 722 - 721. What is the common denominator of -50\/9 and 0\/(-2) - (-53)\/(-4)*o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 7\/(-1) - 0\/36. Solve z*s = 5*s - h - 1, 0 = 3*s + 3*h - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let l = -20\/51 - -1\/17. What is the nearest to 2\/3 in 0.1, l, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-5\/4))**(2\/9)*t*t\/(t\/(t**(-1\/15)\/t*t*t))*t*t**3 assuming t is positive.\nAnswer: t**(599\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -11*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 334*q - 232*q + 586*q - 45408. Calculate the least common multiple of 3058 and q.\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 8:40 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1046*b + 4208. What is the lowest common multiple of w(-4) and 252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -256, -251, -242, -229, -212, -191, -166?\n\"Answer: 2*z**2 - z - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 + 7074*y**4 + 40876*y**3 + 21106*y**2 - 40881*y - 28180 = 0?\nAnswer: -1409, -5, -1, -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 23) + 2 + (5 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**2 + 18*w + 4 + 19*w - 70*w + 16*w + 16*w - 2*w**4 in the form j + y*w + h*w**2 + n*w**3 + a*w**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/24*(-1 - -4). Let d(u) = 25*u**2 - 11. Let q(w) = 5*w**2 - 2. Determine p*d(n) + 11*q(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/2 (b) 0.1 (c) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1025*x - 392*x - 427*x.\nAnswer: 206*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 12*u = -52. What is the lowest common multiple of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -142*j + 90. Let l be p(-6). Suppose -c = -u - 471, 8*c - 5*u + l = 10*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -344, 11, 665, -3, 5 in descending order.\nAnswer: 665, 11, 5, -3, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + 0*b)*(4 + 10 - 11)*(12 - 6 - 2)*(4*b**2 - 6*b**2 + 0*b**2)*(2*b - 5*b + b).\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u - 152. Suppose -5*b - 1 = -p - 3, 0 = -5*p - b - 88. Let i be h(p). What is the greatest common divisor of i and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 5*q**2 + 5*q - 2. Suppose -4*j - 9 = o + 9, 2*j = 3*o + 12. Let b be w(o). Suppose -5*y + 2*r = r - 5, 4*y = -b*r + 28. Solve -y*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -415 + 20?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + u + 75*u**3 - 31*u**3.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 44*i\/7 - 816\/7.\nAnswer: 2*(i - 12)*(i + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*y**5 - 264240*y**4 + 40572306*y**3 - 20236610*y**2 + 2527512*y = 0. Calculate y.\nAnswer: 0, 1\/4, 156, 8101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 209 = 949. Let w = f - -70. Let n(v) = -3*v**2 + 3*v. Let j(y) = -3*y**2 + 4*y. Determine w*n(z) + 3*j(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from aacibaccilccbaactbi.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*f + 125 = 0, 1892*f - 166 = -3*s + 1888*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -1\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44701, 44696, 44691, 44686?\n\"Answer: -5*p + 44706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 14}. Give prob of sequence ic.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 204, 1\/3 in decreasing order.\nAnswer: 204, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -64, -206, -478, -922, -1580, -2494, -3706?\nAnswer: -5258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 9*u = -12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -138. What is the remainder when (-5250)\/(-40) + (-3)\/(-4) is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (2 + sqrt(99)\/sqrt(81) + 3)**2.\nAnswer: 10*sqrt(11)\/3 + 173\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-21)\/18)*(95 + -98)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:14 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 2. Let v be g(-2). Let d be (v\/4)\/(3\/4). Suppose -2*o - 4 = 4*h - 6*o, -4*o = 5*h - 31. Which is the closest to d? (a) -0.1 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/784 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 123, 193, 289, 411, 559?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 3. Let s be 0 + 0 + 0 - 0\/45. Let u be v(s). Solve -k + 5*k - 16 = 2*q, -u*k + 17 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -933, 4, -14 in descending order.\nAnswer: 4, -14, -933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 48.6. Is a <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1940?\nAnswer: 1940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 66 - 67) + 92?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 30. Let p = -0.4 + 0.3. What is the closest to p in 5, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 371233880*i\/9 - 17226824207481800\/9.\nAnswer: -2*(i - 92808470)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.5 + -34.5. Which is the closest to -5? (a) -0.4 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238027 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -66*s**2 + 87*s + 102. What is o(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39134, -157822, -356070, -633878?\n\"Answer: -39780*i**2 + 652*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*h + 672, 786 + 113 = 4*r - 3*h. Suppose -4*o - 12*k = -9*k - 237, -4*o + r = 5*k. Is o a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + 8 + 5 + -16 + -5 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 263708940 and 930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**5 + 56*r**4 - 48*r**3 - 1736*r**2 + 2548*r + 16464 = 0.\nAnswer: -4, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 236 = -2*n, -l = 4*n + 312 - 793. Let k be 224\/n + ((-26)\/30 - -1). Solve 4*w + 8 = -3*a, -k*a + 5*w + 4 = 3*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 51 + 144 = -18*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r + 0 + 1\/24*r**4 + 1\/3*r**3 + 3*r**2. What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 9*b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2612, -4014, -5426, -6848?\n\"Answer: -5*f**2 - 1387*f - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 7:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 - 460*v**2 + 6712*v + 7168 = 0. What is v?\nAnswer: -128, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**21\/((i\/(i*i**(-2\/5)\/i*i))\/i))**(1\/39) assuming i is positive.\nAnswer: i**(36\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*3*5*6*((-1 + sqrt(252))*5 + sqrt(252) + 3))**2.\nAnswer: -1166400*sqrt(7) + 73515596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(364\/130 - 8\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2192*g**2 + 138*g**3 + 2192*g**2 + 125*g**3 + (3 - 2 - 2)*(2*g**3 + 0*g**3 + 0*g**3) as y*g + t + l*g**2 + m*g**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799 + -24262?\nAnswer: -19463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l - 32*l + l.\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(1\/4))\/k**8)\/(k*k**0\/k*k)**15)**(-32) assuming k is positive.\nAnswer: k**712","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-3\/8)*l*l**4)\/(l**(-1\/4)*l*l*l*l*l**(-1)))**(1\/8))**(8\/5) assuming l is positive.\nAnswer: l**(37\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - i + 16 = 0, -i = -4*m + m + 29. Suppose m*h - 5 = 4*h. Let w(t) be the second derivative of t**3\/6 - t. Let f(v) = 4*v. What is h*f(u) - 6*w(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l + 23*l - 115*l - 1782 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12*y + 7*y - 30 = 0, 5*j - y = 14. Suppose -4*d + 36 = -d. What is the remainder when (470\/5)\/(2 - (2 - j)) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(384) - 2*sqrt(384)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.06, 4\/3, -15, 8, 1\/2232?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 1, v: 2, h: 3, q: 1, c: 1}. What is prob of sequence pec?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {i: 1, y: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -38301923 divided by 23\nAnswer: -1665301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 + 9*f + 13. Let v be o(-4). Solve 0 = -2*x - 8 - 0, -k + 5*x + v = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-165)\/4))\/(-12*(-3)\/10).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 3. Let w = h + -1.5. What is the closest to 3 in -3, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 2893 = p. What are the prime factors of p?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, -1.6, 4, -0.1, -2\/23, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -55*f - 31. Give h(1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-3)*6525\/125. What is the greatest common factor of 1827 and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60276 by -31.\nAnswer: 60276\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293785.\nAnswer: 5, 58757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/6 + 2*x**3\/3 + x**2\/3 - 2*x - 35. Solve a(y) = 0 for y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*i + 4*i, 2*i = -3*w + 32. Let a be (-6)\/(w\/(-5))*12848000\/(-4). Round a to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2 + 0))\/(26*41\/(-38376)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x + 4*x - 270. Find the third derivative of 3 - 4*d**5 - 3 + x*d**5 - 14*d**2 wrt d.\nAnswer: 840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 3, g: 5, e: 1, t: 2}. What is prob of sequence eg?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 10*o**2 - 18*o - 9. Let b be j(12). Suppose b*m = 64*m + 4609219. Let l = -39409219 - m. Round l to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let t = r - 1. Suppose -20 = -5*x + 25*x. What is the nearest to x in t, -4, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*-19\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6*l + 1)*(1 - 5 - 11) as n*l + v and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2457505, 2457556, 2457639, 2457754?\nAnswer: 2457901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -296, -551, -780, -977, -1136, -1251, -1316?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12119 + -6900. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -68. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 121. Let t = 37.1 + y. Let l = t + 3. What is the nearest to -2\/5 in 1\/6, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28*8\/(-140))\/124.\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 154, -4, 0, -1, 138 in descending order.\nAnswer: 154, 138, 5, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -157117.15\nAnswer: -157116.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -10 + 30. Suppose 0 = -4*x + h + 709, -j*x - 2*h + 875 = -h. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*j + 1 = 2*j, -2*j + 2 = -4*x. Let z(t) = -t. Let b be z(-4). Let q = -1 + 4. Sort x, q, b.\nAnswer: x, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(15\/6 + 0). Suppose -s*k - 5*c = -3*k - 23, -3*c + 5 = -k. Calculate the remainder when 8 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b - 2*b**2 + 32*b + 5*b.\nAnswer: -2*b**2 + 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:22 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38775453 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 = g, -5*r - g + 6*g + 45 = 0. Let b be (8 - 4) + (2 - r). Factor -4*y**b + 2*y**2 + 3*y**2 + y.\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmpqmpwmpw. What is prob of sequence mqpm?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:16 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/185, 0.3, -7, -3\/4 in descending order.\nAnswer: 0.3, -19\/185, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19d (base 15) in base 3?\nAnswer: 111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*s**4 - 19041*s**3 - 124371*s**2 + 1116720*s - 1717200 = 0. What is s?\nAnswer: -12, 5\/2, 3, 3180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 212.7. Let h = -6591\/2 + 3296. What is the closest to -2 in h, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r. Let n be (-2 - (-33)\/15)*15. Suppose 448 = n*v + 178. Let b(j) = -90 + v - j. Determine b(x(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173041019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14674193*u**2 - 126*u - 2904.\nAnswer: 29348386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45 - -34)*(-2)\/((-2)\/(-1)). Let v(o) = -4 - 3*o + 17 + s. Calculate the least common multiple of v(-14) and 8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - 2*y + 196. Let j be l(0). Suppose -6*u - 32 = j. What is u rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252609, 505334, 758059, 1010784, 1263509, 1516234?\nAnswer: 1768959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-2))\/((-162)\/12). Let z = 239\/297 - h. Is 2 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.056 in 4, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 - 1124*v**4 - 22856*v**3 + 17542792*v**2 + 22852*v - 17541668 = 0. What is v?\nAnswer: -113, -1, 1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 487 in 5\/7, -0.5, -0.4, -2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by (0 + -1)*47\/(752\/(-768))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125.5 - 125. Put r, -3, 0 in increasing order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2736\/(-38) + 10\/(-60)*-6.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 33 + 9*m**3 + 35 - 67 - 2*m. Determine f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 51903669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3305)\/(-56) - 5\/(360\/(-9))) + 34\/(-238).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from urrru.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 13 + 10 + (3 - 6 + 1)*(3 - 3 + 2))*(4 - 4 + 3)*(-10*x + 10*x + 22*x**2) to a*x + u + i*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079594200 rounded to the nearest one million?\nAnswer: 1080000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*j + 181*j - 7*j = -181*j + 43036 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 75*x**2 + 169*x - 1155.\nAnswer: -(x - 77)*(x - 3)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043377 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 6384524.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -1\/390*u**5 + 0 - u**2 - 2\/39*u**3 + 0*u - 1\/52*u**4. Factor i(w).\nAnswer: -2*(w + 1)*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15*k**2 - 2*k + 1. Let b be ((-14)\/(-49))\/((-8)\/(-112)). Let c(r) = -30*r**2 + 5*r - 2. Give b*c(v) + 10*i(v).\nAnswer: 30*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) 26 (d) -0.07 (e) 4 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from blbllblx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 652, 258 in ascending order.\nAnswer: -3, 258, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-4)\/(-6). Let n be (-1)\/(-2)*s\/3. Suppose -w + 5*w - 208 = n. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.4, 32, -4, -9\/4, 0.2 in increasing order.\nAnswer: -4, -9\/4, -0.4, 1\/7, 0.2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7623801ug to tonnes.\nAnswer: 0.0000000000007623801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 820*i**2*w**3 + 68*i**2*w**2 - 3*i**2*w - 30*w**2 wrt w.\nAnswer: 4920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {k: 5, n: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -66, -164, -322, -552, -866, -1276?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:01 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 0)*(10*r + 362*r**4 + 14*r - 369*r**4) to m*r**3 + t*r**4 + f*r + b*r**2 + p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.079 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-195)\/(-12))*57\/114.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = 3*j + 6, 5*j = -15. Solve -5*m + 3*m - 10 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*d = -369 + 1121 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 18*v - 20*v - 4, 3*v - 6 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = s - 4, 3*w + 6 = -0. Let g(r) = 2*r**2 + 3*r + 1. Let t be g(s). Solve 0 = -h - 4*h - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862985523?\nAnswer: 3, 287661841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355445060 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2948 + -1.\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 - 100*g + 66. What is x(11)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2046 and (-1328*(-68)\/(-71808))\/((-1)\/(-2) + 0).\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -17. Let t(j) = 21*j - 4. Let k be t(7). Calculate the highest common factor of c and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -52. Suppose 6*d = 12 - k. Sort -4, 2, -3, d.\nAnswer: -4, -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8616, -7 in ascending order.\nAnswer: -8616, -9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*h - 873*h - 2 = -3*k, 5*k - 3*h - 35 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7330.037 hours in milliseconds?\nAnswer: 26388133200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 14*l + 44 = 0. Let i be (-12)\/66 + 156\/l. Suppose 2*x + 5*d = i, -5*x = d - 6 - 6. Put 0.4, -2, x in decreasing order.\nAnswer: x, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35460717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-20)*11376\/3950\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1233 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005294 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - ((-3*2*sqrt(891) - sqrt(891)) + sqrt(891)).\nAnswer: 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let j(h) be the third derivative of -h**7\/630 - h**4\/24 - 6*h**2. Let s(k) be the second derivative of j(k). Calculate i(s(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/20 + a**4\/24 + 57*a**2. What is b(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*h, 29 = 2*w - 5*h + 8. Solve m = 4*q - 2*m + 9, -w = -3*q - m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095888099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**4\/14 + 4*c**2\/7 + 6. Factor w(v).\nAnswer: -2*v*(v - 2)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*j + 2445 = 0, 2*w + j - 286 = 666. Suppose -4*y + 109 + 67 = 0. Calculate the remainder when w is divided by y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2))\/q**(-6)*q**(-3\/5)*q*q**0 assuming q is positive.\nAnswer: q**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 104.374637303645.\nAnswer: 103.874637303645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -19?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15378 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 14. Let l = 14 - m. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) 2.6 (b) 3 (c) -25222 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 0 - 2\/3*p**3 + p**2 - 15*p. Let n be f(-1). What is the highest common factor of 54 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) 0.1 (c) -266\/3 (d) -1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -40. Let n be 1\/(-2) + v\/(-4). What is the units digit of (n*3 - 2) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 48, 14, -54, -168, -340, -582, -906?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Let d be m(3). Let k(u) = u**3 + 3*u**2 - 6*u - 5. Let v be k(d). Suppose 2*j = v*j - 21. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 235262919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 77*o**3 - o**2 + 3*o - 1. Let n be x(1). Let r = -31 + n. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2 - 545*x - 270.\nAnswer: -5*(x + 54)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**2 + 356488*w - 356488*w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1372*d**3 - 7*d + 3*d + 4*d.\nAnswer: 1372*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 12) to base 3.\nAnswer: -102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = a - k + 1, 4*a - 5*k + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 24802*h**2 + 3*h - 58642*h**2 + 8*h.\nAnswer: -83444*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20233 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-8)\/z)\/((z\/(z\/(z*z**(1\/3)*z)))\/z))**(7\/10)\/((z*z\/(z*z**(2\/7)*z)*z)**46)**33 assuming z is positive.\nAnswer: z**(-114536\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l**3 - 8*l**2 + 8*l + 63. Let o(z) = 5*z**3 - 3*z**2 + 3*z + 21. Let f(g) = 13*g - 237. Let h be f(18). What is h*m(c) + 8*o(c)?\nAnswer: -2*c**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 + 324*m**3 - 4356*m**2 - 21796*m - 17112 = 0.\nAnswer: -3, -1, 23, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (354 - 347) + (-4 - 0) + -1 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79\/3 + 27. Let h be (-98)\/(-13) + 0\/(-3) + -2. Let r = -556\/91 + h. What is the nearest to 2 in d, r, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1678 divide 41409684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5317 less than 3?\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -47*k - 183. What is the units digit of y(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (10\/(280\/(-329)))\/((-3)\/144) and 423?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d. Let h(p) = 3*p**2 + 0*p**2 - p**2 - 4*p**2. Give h(s(g)).\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide -1 + -2 + 1 + (-3250)\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 2. Let b be u(1). Let f(y) = 7*y**2 - 4*y + 2. Suppose s + 24 = 5*s. What is the remainder when f(b) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 13) in base 6?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 12 - 2 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 691 - 7603\/11. Put -26, 13, d in ascending order.\nAnswer: -26, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27832495.\nAnswer: 5, 5566499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k + 1. Let z be a(-2). Let t(p) be the second derivative of 2*p**3\/3 - 14*p. Let f be t(z). Solve i - 3*r = f, -14 = -4*i + 4*r + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + v + 1. Let j be c(2). Let p = 11 + j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/8*(12\/(-9))\/4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.45994t in grams?\nAnswer: 62459940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207.7 - 205.7. Let m = -11 - -13. What is the nearest to m in -3, n, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 4, h: 3, w: 1}. Give prob of sequence wvhv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -n, -h = 5*n - 5*h - 12. Suppose 2*w + 0 = 8. Suppose 4*v - 33 = 3*f + 5, -5*f - 34 = -w*v. Calculate the least common multiple of v and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-4)\/(-5))*-14?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**3*q)\/q)\/(q\/(q\/q**(-1\/4))))\/(q**(-2)\/q)**21 assuming q is positive.\nAnswer: q**(265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2*c + 0*c**2 + 0 - 1\/6*c**3. Let d(a) = a - 1. Let f(l) = -12*l + 10. Let w(g) = -10*d(g) - f(g). Give o(w(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.20901 + -0.43901. What is the second biggest value in l, -4, 0.8, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r + 123 = 3*w, 3*r - 195 = -5*w. Differentiate 22 + w*j + 18 - 86 wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (450\/54 + -10)\/(14\/6)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-12)*(w**(-1\/2))**(24\/11))\/(w**(-2)*w**(-2\/3))**21 assuming w is positive.\nAnswer: w**(472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19152 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1124.4 and 29.\nAnswer: -32607.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2) - ((-7)\/(-4) - 2). Let d = -23.3 - -25. What is the third biggest value in d, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17488 greater than 17487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 3*o - 5*o + 22*o**2 + 5*o to the form q*o**2 + a + g*o and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + -26ad79?\nAnswer: -26adbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:16 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3140 divided by 5\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/56 - -13\/56. Factor 0*o + 0 - y*o**2.\nAnswer: -2*o**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213 * 0.2.\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (612\/(-544))\/((-273)\/(-14560))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -687750 divided by 262\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16044 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -10?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**39*(a**2)**45)**(3\/2) assuming a is positive.\nAnswer: a**(621\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 6. Let b = y + 7.2. Let o be 1 + 0 + 1\/3. What is the closest to b in o, -2, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213177 divided by -3\nAnswer: 71059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 156155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 311 - 120. Suppose -5*u + a = 4*j, j - 194 = -8*u + 3*u. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -2*n - 465. Suppose -350 - 107 = -4*i - 5*p, -4*p - 602 = -n*i. What is the remainder when i is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 611?\nAnswer: 3\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-20) - 1\/(25\/(-155))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -24*c - 4. Let w(o) = o**2 + 4*o + 7. Let x be w(-3). Suppose x*j + 12 = -0*j. Let f(l) = -5*l - 1. Calculate j*h(r) + 14*f(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:43 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/22 - (4 + (-123)\/11). Let n(j) = -55*j + 1. Let g be n(-1). Suppose -g = f - 3*f. What is the highest common divisor of f and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910 by 9.\nAnswer: -910\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35119 + 177?\nAnswer: 35295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -895, -894, -893, -892?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216 or 114811?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.1 (c) -4909 (d) 1\/5 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h + 12 = 0. Let l(g) = 3*g + 7*g**2 - 4*g + 4*g - 7 + g. Let o(f) = -15*f**2 - 9*f + 15. Let k(q) = h*o(q) - 9*l(q). Differentiate k(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*r**4*x - 3*l*r**2 + 2*l*x**2 + 2*l*x - 124*r**5*x**2 wrt r?\nAnswer: 48*l*r*x - 7440*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 12*b + 99. What are the prime factors of k(14)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 957930\/12)*32\/24. Round d to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22778, -4, -3, 0.3.\nAnswer: -4, -3, 0.3, 3, 22778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.243632 rounded to 2 dps?\nAnswer: -5.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 0.03, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 2, -28, -82, -166, -286, -448, -658?\n\"Answer: -k**3 - 3*k**2 + 4*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 153*p + 1. Suppose 2*o = 7*d - 3*d + 36, 0 = -3*o + 4*d + 48. Is k(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**3*p**3 + 12*d**3 + 3*d**2*p**3 - 126*d*p**3 + 945*d*p**2 wrt p?\nAnswer: -36*d**3 + 18*d**2 - 756*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 410 and 3743.\nAnswer: 1534630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**2\/2 + s + 2. Let j be m(4). Suppose -4*b = -a - 7*b + 10, -j*b = -2*a - 2. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 smaller than 823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1127, -1126, -1109, -1064, -979?\n\"Answer: 2*k**3 - 4*k**2 - k - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -13*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -582.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let h(u) be the first derivative of 51*u**3\/2 - 48*u - 75. Let z(w) be the first derivative of h(w). Determine z(y(i)).\nAnswer: 153*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30*(-1 + 147\/9). Suppose 5*z = 3*o - n, -309 = -2*o - 0*z + z. Suppose h = -4*h + o. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/2520 - d**6\/180 + d**5\/30 + d**4\/6 + 3*d. Let o(w) be the third derivative of b(w). Give o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyv when three letters picked without replacement from llvvvykl.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-1232)*-28)\/(((-1869)\/(-18))\/89).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22010 + 1022?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkukkrrkkkkkdkukudku. Give prob of picking 1 r, 2 d, and 1 k.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + -1 + -5)**2 - (-1*-3*sqrt(171))**2*3.\nAnswer: -4442 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(-i**2 + i**2 - 2*i**3) + 4*i - 4*i - i**3 - 11*i**3 + i + 0*i + 14*i**3 to the form p + t*i**3 + w*i**2 + x*i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19935359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:23 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -41765 times -0.05\nAnswer: 2088.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = x - 10, -106*x + 107*x - 1 + 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 3\/2, 4, 0.05, -17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/80 + (1 + -2)\/((-36)\/144)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n - 144854*n**3 - 45*n + 144770*n**3.\nAnswer: -84*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*p + 6*p = 465, 3*r - 4*p = -347. Does 9 divide 52\/r - (-643)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9795000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 10, b: 3}. What is prob of picking 1 r and 2 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17985*v*w + 729352*v + 6*w - 2 wrt w?\nAnswer: -17985*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24a81 (base 11) to base 5\nAnswer: -2122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1238 - -20072842146.7\nAnswer: 20072843384.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-294)\/(-84))\/(((-18)\/(-45))\/(8\/(-10)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 + 1, h + 3 = b. Let a(j) be the first derivative of 0*j**2 + 2\/9*j**3 - 2\/15*j**5 + 1\/9*j**6 - 1 - 1\/6*j**b + 0*j. Solve a(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6077 rounded to 2 dps?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 181*b**3\/6 + 60*b. Let h(f) = -8*f**2 - 6*f - 6. Let r(m) = 7*m**2 + 5*m + 5. Let g(a) = 5*h(a) + 6*r(a). Give g(v(c)).\nAnswer: 65522*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*w + w - 7311, 7315 = -m - 5*w. Let i = 1127 + m. Is (-14)\/(-84) - i\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15147 is divided by 1574?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2753*w + 185. What is the ten thousands digit of r(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f**2\/3 + 8*f - 4\/3 = 0. What is f?\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -y - y. Find the common denominator of -71\/8 and -4 + y - (-434)\/92.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/150*-10*-20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9442519*f**4 + f**3 + 10330*f**2 - 42*f?\nAnswer: 226620456*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(8 - (-8 - (-329)\/21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m - 1890 = 27*m. Suppose 219*k = m*k + 14157. What are the prime factors of k?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10131649 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + (13 - (-106)\/(-10)). Let j(f) be the first derivative of 0*f**n - 1\/2*f**4 - 1\/3*f**3 + 0*f - 1\/5*f**5 + 5. Suppose j(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 350 + -351. Sort 0.2, -95, x in ascending order.\nAnswer: -95, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -431298 and -431297 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(200) + (sqrt(11) + -2*-2*sqrt(11))**2.\nAnswer: sqrt(11)\/5 + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**2\/5 + 1232178416*q\/5 - 94891478053516816\/5 = 0?\nAnswer: 154022302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 804 + -74. Calculate the least common multiple of b and 15.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1202 - -1202.2. Which is the third smallest value? (a) w (b) -1 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8404 = -x + 12*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 359*z + 1151. Calculate f(56).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 985. Let v = u + -135. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693937900 to the power of 1\/2, to the nearest integer?\nAnswer: 60778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-189))\/(74\/(21238\/(-369))).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -424*k**3 + 409*k**3 + 4*k - 4 + 0 - 2*k in the form l + w*k + n*k**3 + u*k**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-336)\/90)\/7)\/(52\/(-65))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.4 (b) 3 (c) 1 (d) 2 (e) 11480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306*l + 298*l + l**2 + 0*l**2 - 613*l + 7 to the form a*l**2 + w*l + n and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*l + 1116*f**2 - f*l - 128*f + l wrt f.\nAnswer: -2*l + 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 - 2*u**3 - u**2 + 1 + 3*u**4 + 7*u**2 - 3 + 16*u**2 to the form x + r*u**4 + h*u**2 + o*u**3 + k*u and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 + 0 = 22*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 + 2*b. Let c be (-40)\/(-140) - 4\/14. Suppose -4*d - r = -c*d + 8, -5*d - r = 10. What is the units digit of u(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5247)\/2862*138\/44.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 7116, 113 in decreasing order.\nAnswer: 7116, 113, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 divided by -13?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.855 + -28. What is z rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.4, -494, 0.1, 5, 2\/51, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 10*o + 20*o**3 - 4*o - 87*o**3 - o + 3. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 155465 - 154205 = 0 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/60)\/(12\/(-30)) + -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*f - 595*f = d - 1, -3*f = -5*d + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 72\/35 and 230\/(-480)*42\/196.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42042060 a multiple of 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493*m + 170*m + 1231 + 61 = 0. Let v = 8 - 6. Let z = 6 + -4. Solve 2*c - v*b + m = b, -z*c = 4*b - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385953.6g in kilograms?\nAnswer: 385.9536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454193, -908430, -1362713, -1817066, -2271513?\nAnswer: -2726078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnhp when four letters picked without replacement from hhhphbhbn?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13262, 13261, 13262, 13265, 13270, 13277, 13286?\n\"Answer: u**2 - 4*u + 13265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 67392221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -51*o + 105. Let p(f) = -17*f + 38. Give -3*a(q) + 8*p(q).\nAnswer: 17*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 370448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740 and 525320.\nAnswer: 19436840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + 3*t - 48 = 0, -4*a + 5*t + 31 = 0. Let k be (-361)\/(-38) + (-2)\/4. Let v be 2\/a + (-2)\/k. Sort -2, 1, v in ascending order.\nAnswer: -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20031 (base 4) to base 3.\nAnswer: -201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/25*20\/18*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 4. Suppose -8*m - 109 + 133 = 0. Let d(l) = l - 1. Determine m*d(o) + g(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/5, 6, 2.2 in increasing order.\nAnswer: 0.4, 3\/5, 2.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - 2*q**3 - q**3 + (-q + q + 3*q**2)*(5 - 14*q - 5).\nAnswer: -45*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.14, 4, -0.164, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aope when four letters picked without replacement from yooyyoyopaooeoyyy.\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 24*v + 81. Give y(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -571473885623 from -47.\nAnswer: 571473885576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - a**2 - a + 1. Let v be g(1). What is the third derivative of v*i**4 + 4*i**2 + 4*i**2 - 4*i**4 + 2*i**2 wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156051239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 0, -3*k - f = -4*f - 6. What is the remainder when 249 is divided by (-2 - -3) + k\/(9\/51)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274566 divided by -6.\nAnswer: 45761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**8\/1512 - u**7\/135 - 19*u**6\/540 - 5*u**5\/54 - 4*u**4\/27 - 4*u**3\/27 + 37*u**2. Let i(s) = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 198*z + 1439. Give t(-6).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1797)\/(-5) - (-3)\/5. Let v = 1624335\/4484 - 3\/2242. Let w = v - p. Is 3 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (625\/(-315) + 2)*1*50. Let f = -88\/63 - d. Calculate the common denominator of f and 52\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*i**4 - 165*i**3 + 2*i**2 - 6458607*i.\nAnswer: -876*i**2 - 990*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 4*y + 3*y + 6*y**2 + 4*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, l: 5}. Give prob of picking 1 l and 1 h.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than or equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.266 and -10173.\nAnswer: -2706.018","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -1111011010100001100111 (base 2) in base 8?\nAnswer: -17324147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*g**4 + 7675*g**3 + g - 7691*g**3 - 9 + 106*g**4 as d*g**3 + r*g + i*g**2 + y*g**4 + p and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*c + 3 = 15, 0 = 3*c + 3. Solve -f*b + 18 = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 3. Let p be u(3). What is the second derivative of r**2 + p*r**2 + r + 2*r - 4*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3729*p - 3606*p - 3075 = 0 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15*5*(-1)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 1, -3, 49001 in decreasing order.\nAnswer: 49001, 147, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s - 132 = -3*k, 0 = 3*s + 11*k - 6*k + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -694, 1\/6, -33.1 in ascending order.\nAnswer: -694, -33.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846 = 194*g - 2452 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*v**3 + 13*v**2 - 3*v**2 - 28*v**3 + 7*v**2 + 24*v**2 as g + t*v**2 + x*v**3 + h*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = s - 1. Let k = s + 8. Suppose k*u + 104 = 4*t, 2*u = -t - 0*t + 26. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -b + 122. Suppose -2*w - f + 31 = 0, -3*w + b*w - 20 = -5*f. What is the greatest common factor of w and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**4\/3 - 443*l**3\/3 + 560*l**2\/3 - 124*l\/3.\nAnswer: l*(l - 62)*(l - 1)*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14 + 2*q - 7 + 2*q. Let u be j(9). Suppose 2*t - 7 = -u. Put t, 1, 1\/7 in increasing order.\nAnswer: t, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 1600 + 1607 - 20*f)*(4*f - 9 + 9).\nAnswer: -76*f**2 + 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6856.083ns?\nAnswer: 0.0000000000793528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 + 101101110?\nAnswer: 100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14155\/6 + -7006\/3. What is the common denominator of z and -77\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5\/7 + 158656*j**4\/7 - 951840*j**3\/7 + 1903616*j**2\/7 - 1269056*j\/7.\nAnswer: -4*j*(j - 39658)*(j - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15 - 936*l + 930*l + 7. Suppose 0 = -3*w - 2*w + 50. What is the least common multiple of h(3) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22339.26 + -22339.6599957. Let d = -0.4 - c. Round d to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.102 and -6732?\nAnswer: 6731.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05666 + -2.94334. Let a = 647 - 29113\/45. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/25)\/h)\/h)\/h)**(1\/61)\/(h**(-2\/5)*h*h**8\/h*h) assuming h is positive.\nAnswer: h**(-13188\/1525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114062256 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -30)*(-6)\/(-4). Let f(j) = -j**3 - j**2 + 4*j + 18. Let d be f(0). Let u be (-18500002)\/(-5) - d\/h. Round u to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(10\/(-12)))\/(-1). Let c be (-5)\/(10\/x) + 5. Suppose -c*f - 16 = -2*i, 12 = 6*f - 3*f. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 1*(-4)\/4. Let w be 28\/12 - (-1)\/(-3). Put 0, w, j in decreasing order.\nAnswer: w, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 20 = 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 4096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/4 + 69*r**4\/4 - 231*r**3\/2 + 153*r**2 + 594*r - 648 = 0. Calculate r.\nAnswer: -2, 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, 1 l, and 1 b when four letters picked without replacement from mwkbala.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/2 + 9*m\/2 - 3 = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*18\/(-96)*(-10608)\/306.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*(-36)\/(-20). Let r = -10 - -11. Which is the smallest value? (a) r (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*a**3 + 2349*a**2 + 52700*a wrt a?\nAnswer: -120*a + 4698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -663*b - 7. Let w be k(-3). Suppose i = w - 325. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**4 + 13*f - 13*f + (-2*f**3 - 4 + 4)*(-2*f - 2 + 2) - 4*f**4 + 2*f**4 + 3*f**4 + (3*f**3 - 3*f**3 + 2*f**4)*(-1 + 4 - 5).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 68 + 40 + 28 + 6*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 234*r + 119*r + 0 - 5.\nAnswer: -2*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 22*q + 16. Let c be h(12). Let u be (32\/26)\/(-8) - c\/(-13). Calculate the highest common divisor of u and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.059989 and -4158262.\nAnswer: -4158262.059989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5488*x**2 + 8*x - 8055. Let o(a) = 3659*a**2 + 5*a - 5361. Let j(p) = -8*o(p) + 5*t(p). Differentiate j(w) with respect to w.\nAnswer: -3664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let n = -12 + 15. Let d(i) = -i**2 + 12*i + 5. Let o be d(12). Solve u*l = 5*g - n - 1, o*g - 7 = 4*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 206 = 167. Calculate the remainder when 97 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -491, 1, -3, -1 in decreasing order.\nAnswer: 1, -1, -3, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29580722*t**3 - 35920201*t wrt t.\nAnswer: 177484332*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*y = 748 + 1005 - 277. Suppose 3*q - 279 = -q - 3*g, -2*q + 135 = -3*g. What is the remainder when q is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + q - 13, -4*q + 6*q = 5*w - 4. Suppose 0 = -3*r - 3*y - y + 36, -w*r + 24 = 2*y. Calculate the highest common factor of r and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v + v = 775. Let w be v\/125 + 114\/5. Solve -7 = -6*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 10, t: 1, v: 5}. Give prob of picking 3 r.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94, -1017, -2174, -3401, -4722?\n\"Answer: -4*a**3 + a**2 - 1086*a + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/26 (b) 42\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -391, 2, 26.\nAnswer: -391, 1, 2, 7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1249, -9, 19 in descending order.\nAnswer: 19, -0.1249, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 27*o**6 + 61*o**3\/3 - 5*o**2 - 362. Find the third derivative of b(l) wrt l.\nAnswer: 9720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694 = 2*l + 676. Let o(w) = 2*w**2 + 3*w - 2. Let u be o(-4). Calculate the greatest common divisor of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1\/(-2))\/((-44)\/264). Which is smaller: -3.85 or t?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 118?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Let l be s(-3). Let n = 11 + l. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m + m - 4*m)*(-2*m - 4*m + 4*m) + (-2 + 2 + 2)*(-4*m + m**2 + 4*m) + 2798 + 31*m**2 - 2798 in the form y*m + c*m**2 + h and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.18 times -13239.4?\nAnswer: 227452.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253148*h**5 - 4*h**2 - 78*h - 278.\nAnswer: -15188880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*t - 25 = 104*t. Let s be (-2)\/t*(-10 + 0). Let l be 0*(-2 + -1 - s). Solve l = 2*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3)*45\/(-6). Let p be 3*(z\/3 - 4). Let a = 14 + -11. What is the closest to 1\/5 in a, p, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25898001 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2388*u + 21684 = -38016 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 17. Let i = 7 + 13. Let g be c\/(2\/i*5). Solve g*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 5, d: 1, q: 2}. Give prob of picking 1 l and 1 d.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.712 - -1.012. What is the fourth biggest value in 1, 4, t, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -7 + (-8 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841 is divided by 4798.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 420, 419, 418, 417?\n\"Answer: -l + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + t**3 - 3*t - 2*t)*(-2*t - 2*t + 0*t).\nAnswer: 8*t**4 + 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 4*j**3\/3 + j + 2. Let g(v) = 2*v. Calculate r(g(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*s**2 - 5*l + 37*s**2 + 3*s wrt s.\nAnswer: -2*l + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*v - 248*v = 20. Let j be 6\/(-21)*(2 - v). What is the smallest value in 2, -15, j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.33 + 10. Round r to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/8 + 83487*h**3\/4 + 751437*h**2\/2 + 2254365*h + 4508784.\nAnswer: -(h - 166992)*(h + 6)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a)*(-43 + 43 - 11*a)*(-10*a - 2*a - 2*a).\nAnswer: -154*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*o + 4*o**2 + 844*o**3 - 843*o**3 - 7*o**2 - 1)*(-2 - 1 + 2) as q*o**2 + t + v*o**3 + l*o and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230125 is divided by 124?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 0.3, 14 in ascending order.\nAnswer: -0.12, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/3, 3.76, 45?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpqfhbbqpqhqhhdqq. Give prob of sequence ph.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406581 is divided by 875.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 4\/29, 4, -1.685, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02897 - 0.00897. Which is the nearest to 1\/29? (a) -1 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/12*(-3)\/2*52\/(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/20)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291580 is divided by 26381.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -8 + 28 - 37.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2489*a - 2484*a - 21 = 0, 5*a - 17 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -13133130211?\nAnswer: 13133130200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4704 and (0 - -4) + 230*2\/5?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*i + 1678, -2*z - 5*i + 0*i = -3365. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 124*y = -9196037 - 12653854. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-5) - 6\/(-15). Suppose -l*f + 8 = 2*f. Solve 0 = -f*z + 10 - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, -177, -371, -547, -699?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 67*k + 66. Give n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 12664*y**2 + 818660*y + 806000.\nAnswer: 4*(y + 1)*(y + 65)*(y + 3100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 e, and 1 q when three letters picked without replacement from eilqle.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 5*c + 2*c)*(5 - 2 - 5)*(4*c**4 + c**4 - 7*c**4).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221\/30 - 49\/6. Suppose 0 = -7*v + 5 - 19. Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1139 + 1592. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -970*p**2 + 30067*p + 187. Calculate d(31).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by -2*2 + 5\/(10\/82).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 16. Let l = n + 9. Suppose -5 = v, -2*j - 3*v + l = -11. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176077.910153 + 176078. Let l = -0.0191 + -0.0709. Let z = f + l. Round z to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29985, 29973, 29951, 29919, 29877, 29825?\n\"Answer: -5*l**2 + 3*l + 29987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 61 + 68 + 26 = 0. Solve 6*w - 2*o + 12 = 0, -d*w + 29*o = 34*o + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10943.53 in -0.1, 10, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:03 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 2*d = -9*p + 6, 5*d = p - 12. Sort -2, -9, p.\nAnswer: -9, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7895, -15790, -23685?\n\"Answer: -7895*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20990 and -48\/35.\nAnswer: 146930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*29 - 2\/(-1). Let z = 181068 - 180428. Calculate the greatest common divisor of z and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - 0 - 337641\/4670 - (-231)\/170?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6\/l)\/(l\/l**(3\/10)))\/((l\/l**3)\/l*l\/(l\/(((l\/((l\/((l\/(l\/(l*((l*l**(-2)*l)\/l)\/l)))\/l))\/l*l))\/l)\/l))) assuming l is positive.\nAnswer: l**(113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -35. Let d(a) = -1 - 1 + 2*a - 1 - 3*a. Calculate d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 252.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfnm when four letters picked without replacement from nmnfmfmnnmmmnnnnnffn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 8931*o**2 + 35643*o + 243. Determine b(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 1. Let d be f(4). Let v = d + -15. Let g(z) = z**3 + 7*z**2 + 2*z - 9. What is the tens digit of g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -32*q + 24. Let j be v(-3). Suppose 2*a = -22*a + j. Solve a*l + 3*w = 15, l = w + 4*w - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 4.4. Which is the nearest to 5\/3? (a) 1\/6 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2, -5*a + 2*i = -4*a - 6. Let r(n) = -n + 1 - a*n**2 - n**3 - 1. Let x be r(-2). Calculate the greatest common divisor of 14 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1093\/822 - -1\/274. What is the closest to -1 in -0.5, s, 5, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 2. Let r be q(6). Let y be (-6)\/r*(-12)\/18. What is the derivative of 0 + y - 4*l + 4 wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 5*n - 619*n**2 + 570*n**2 to the form m*n**2 + z*n + x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:07 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10132*y**3\/7 - 41228*y**2\/7 - 43328*y\/7 - 400.\nAnswer: -4*(y + 2)**2*(2533*y + 175)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6ca1 (base 16) to base 2\nAnswer: 110110010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505757.\nAnswer: 7, 72251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:36 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*w**4 - 16*w**4 + 19*w**4 + (-w**2 - w + w)*(-2*w**2 + 2*w**2 - 2*w**2) in the form c + z*w**4 + t*w**3 + j*w**2 + g*w and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2373517.\nAnswer: 431, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - 4 - 13)*(8*h**2 + h**2 - 5*h**2) to the form n + d*h + g*h**2 and give g.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**6\/2 - 3*u**5\/5 + 7*u**4\/4 + 7378*u**3\/3 + 9065. Find the third derivative of n(t) wrt t.\nAnswer: 180*t**2 - 72*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 306 = -y, d + 2*y - 8 - 73 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -0.2. Let q = 2 + -2. Let d = -104 - -108. Which is the nearest to q? (a) d (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*q**2 + 8*q**2 + 11*q**5 - 35*q**5 - 6*q**5 wrt q?\nAnswer: -1800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 2*a. Let g be r(3). Let i(y) = y**3 - 1. Suppose -12*v + 75 = -237. Let p(u) = -8 + v - 6 - 8 - 4*u**3. Give g*p(d) - 14*i(d).\nAnswer: -2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12033120000 (base 4) to base 13\nAnswer: -45376b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 18 = 9*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*n - 6 = -14, -n = 5*g - 6. Let v(p) be the second derivative of 0 + 1\/6*p**3 + 22*p + g*p**2. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 408, 413, 420, 429, 440, 453?\n\"Answer: z**2 + 2*z + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/120 + 3*t**5\/20 - 3*t**4\/8 + 17*t**3\/6 - 53*t**2. Let f be v(8). Suppose -2*n - n + 21 = 0. Is f smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.359488 to 1 decimal place.\nAnswer: -127.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**7\/105 + 7*l**3\/3 + 11*l**2\/2 - 2*l - 34. Let n(t) be the second derivative of b(t). Differentiate n(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqnqqnnnnqnnnqnqnnn. Give prob of sequence qnq.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 239 + 219 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j. Let d(x) = x - 6. Suppose 5 = 3*s + 2*s. Let z(a) = 1. Let o(q) = s*d(q) + 6*z(q). Give o(c(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -45396181*-6\nAnswer: 272377086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/4818?\nAnswer: -1\/4818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2208 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*m**2 - 3 - 39*m**2 - 28*m**2.\nAnswer: -11*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 2:20 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2246 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 - -0.75. Let q = 223 + -2455\/11. Put t, q, -1\/5 in descending order.\nAnswer: t, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75\/14908 in -2, 2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -249, -772, -1791, -3468, -5965, -9444?\nAnswer: -14067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 - 5*w + 3*w + 35. Let m = 2362 - 2349. Let o be u(m). Solve k + o = 6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 14*b + 43. Let u be c(7). Is (-1*1 - u)*(11 + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -89. Let p = -52 + m. Let k be (-8)\/(-2 - -4 - (-2 - p)). Sort k, -1, -4 in ascending order.\nAnswer: k, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242.59053 - 167.59086. Let q = 75 - g. Round q to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852900.\nAnswer: 2, 3, 5, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1 + 2 + 1. Let p(r) = r - 6. Let c = -5619 + 5614. Calculate c*n(a) - 2*p(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 157434399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s + 6. Sort s, -4, -0.3 in descending order.\nAnswer: -0.3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/5 - (-1503)\/(-2505).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254719067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129191?\nAnswer: 13, 240707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 2 - 6 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/28 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46656, 93313, 139970?\n\"Answer: 46657*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + u + 5 = 7*f - f, -u = -7*f - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -793 - -1551\/2. What is the common denominator of -73\/12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let o be w(2). Which is bigger: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547376891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*n*p**2*z - 410*a*n*p**2 - 2*a*p*z - a*p - 4*n*p**2*z - 9*n*p*z - 5*n*z wrt p?\nAnswer: -4*a*n*z - 820*a*n - 8*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300166?\nAnswer: 2, 7, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -42308 at least as big as -42172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 7*j - 12. Let l be o(10). Let k = -1 - 4. Let a = k + l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -47*k**3 + k**2 - 7*k - 6. What is the remainder when 116 is divided by r(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5845 + 13820. What are the prime factors of u?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55370 divided by 14\nAnswer: -3955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/(-968))\/(-1*(-1)\/1)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:04 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.059, -4, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 321*v**4 + 2*v**3 + 2*v**2 + 245. Let f(c) = 963*c**4 + 7*c**3 + 7*c**2 + 732. Let u(k) = 2*f(k) - 7*j(k). Differentiate u(p) with respect to p.\nAnswer: -1284*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 101*s + 1461. What is x(-86)?\nAnswer: 2751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 120?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23026, 39505, 55984?\nAnswer: 72463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*n = 9, 0 = -3*m - 4*n + n. Which is the nearest to m? (a) 1 (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 7, l: 3, t: 1}. What is prob of picking 3 o and 1 w?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*0*1\/13. Let g(f) be the third derivative of d*f + 1\/6*f**4 + 2\/15*f**5 + 0 - 4\/3*f**3 + 3*f**2 - 1\/30*f**6. Factor g(j).\nAnswer: -4*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1057*q - 1114*q + 3648. What is the smallest common multiple of 1768 and q?\nAnswer: 14144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 5*v - 2. Let i be u(2). Let f be (-2)\/i - (-24)\/32. Which is the closest to f? (a) 1\/4 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.138 + 33268446\nAnswer: 33268450.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.88050232 to one decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/7, -4, 47\/4, 2, -1, 1\/42 in decreasing order.\nAnswer: 47\/4, 3, 2, 1\/42, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 646, -2, 67 in decreasing order.\nAnswer: 646, 67, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102160 and 20432?\nAnswer: 102160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -338 + 518. Suppose -6*t = 4*t - j. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (-492)\/18. Suppose 3*o = 6*o - j. What is the greatest common factor of 63 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 + 75*s**4 - 249*s**3 - 75*s**2 + 252*s = 0. What is s?\nAnswer: -1, 0, 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-3)\/(sqrt(5) - sqrt(50)\/sqrt(360)) - (-6*(-1 + sqrt(1700) + sqrt(1700)*1)*-6)**2.\nAnswer: -8814096 + 259182*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -99176625\nAnswer: -1\/33058875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let r = w - 4. Let m = -2.06 - -0.06. Which is the nearest to m? (a) 0.3 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 98*y + 216. Is c(4) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/21, -5, -22\/5, 2\/14957, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 - 2582232*u + 162668709 = 0. What is u?\nAnswer: 63, 860681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 - 144*f**4 + 592137*f**3 - 92348790*f**2.\nAnswer: -3*f**2*(f - 241)**2*(f + 530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 16. Let i = 46958\/43 + -1092. Let s = i - 92\/129. Which is the nearest to s? (a) v (b) -6\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.071 - -6.371. Let i = m - 6. Let t = -164 - -824\/5. What is the third biggest value in i, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 94*b**3 + 6*b**2 + 31*b - 235. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939*a**3 - 17847*a**2 + 7269624*a + 46452 = 0 for a.\nAnswer: -98, -2\/313, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5059458 + -2409481. Let s = v + 4050023. What is s rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -354\nAnswer: 5\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 10 - 2\/(-1))\/(-1). Suppose -3*x = -2*w + 340, -5*w + 2*x + 274 + 576 = o. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let p(n) = -405*n**2. Give p(c(r)).\nAnswer: -1620*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/5226 and 49\/25929.\nAnswer: 674154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10738159727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4*k - 44519664*j**3*k**2 + 326232314*j**2 - k**2 wrt j.\nAnswer: 72*j*k - 267117984*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 25 = 2*f. Let x be (-2)\/14 + (-71)\/(-7). Solve -5 = f*a + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 14) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.063663?\nAnswer: -0.1063663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4958263 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x - 12 = 0. Suppose 0 = -5*p - 4*k - 0 - 8, 4*k = -8. Solve p = -4*o - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48537 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -47, -1 in descending order.\nAnswer: -1, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/36 + (-51)\/(-288). Let w(j) be the third derivative of -1\/24*j**3 - p*j**4 - j**2 + 0 + 0*j + 1\/480*j**6 + 1\/240*j**5. Factor w(z).\nAnswer: (z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1739, -1, 5, 1, -5.\nAnswer: -5, -1, 1, 5, 1739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = 7*o. Let x = 0.079 - -16.921. Which is the nearest to x? (a) o (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1016533142, -1016533145, -1016533158, -1016533187, -1016533238?\n\"Answer: -p**3 + p**2 + p - 1016533143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20113232302 - -12?\nAnswer: -20113232230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 - (-3785 - (-84)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1830 = 1515*u + 2715 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h + 20 + 7*h + 8*h. Let k be r(-5). Suppose k = -0*j + j - 23. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 395483834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 2*i**2 + i + 2. Let d be 36\/(-16) - (-3)\/12. What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -133*k**3 + k**2 + 191*k + 188. Determine h(-1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -14*z + 32. Solve z*t - 2 = 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20872 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1, 2, 98, 3?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Suppose -w*k + 3*z + 63 = 0, -5*z = -0*k - 4*k + 57. Find the common denominator of 145\/12 and -1 + (-57)\/k - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -443 or -1771\/4?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/8523296 and -149\/25569888?\nAnswer: 25569888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8236023853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8*l + 45 = 0. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.012 (b) -0.138 (c) -13 (d) -5\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101023121 + -20?\nAnswer: -3101023201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 24 (b) 0 (c) 4 (d) 20 (e) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10956?\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11092088759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5 - 7)*(-2 + 1 - t + 3) to y + j*t and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243125 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*15\/(-13230))\/(44\/8*(-64)\/(-528))?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24235723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151510 is divided by 193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888 a factor of 180830880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 16*p - 4*i + 336, -4*p + 5*i = -345. Calculate the highest common factor of 40 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 = 4*m + k, -8*k + 607 = -3*m - 7*k. Let f = m - -228. Calculate the remainder when 45 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 4))*-3 - sqrt(1584)))))**2.\nAnswer: 192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -5*w**4\/12 + 3*w**3\/2 - w**2\/2 + 3. Let o(g) be the second derivative of z(g). Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-9))\/(-2))\/((-6)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123 and 1087?\nAnswer: 133701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2.75. Let v = 0.05 - f. Let j = v + 0.4. Put 1\/9, j, 0 in descending order.\nAnswer: 1\/9, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15161914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)**(1\/6)*((p*p\/((p*(p\/p**9)\/p*p)\/p))\/p)\/(p*(p\/p**4*p*p)\/p*p) assuming p is positive.\nAnswer: p**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2951 = -4*q + 1313, 3*q - 2*a - 3187 = 0. What is the remainder when q is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3810 and 36200080?\nAnswer: 108600240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5751400828?\nAnswer: 2, 1217, 1181471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630312, 630313, 630314, 630315, 630316?\nAnswer: 630317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.313 in 0.2, 2, -72?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 19*l + 553. What is the remainder when 398 is divided by k(-27)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3*b + 1. Let s(a) = a**3 - 5*a - 2. Let h = -5 - -11. Suppose z - n + h = -0, n = 1. Determine z*l(m) - 3*s(m).\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-12)\/4 - 3. Suppose 0 = a - 5*m + 23, m - k = -a - 2*m. Let o be (-2 - -1)*24\/a. Solve 0 = o*y - x + 11, 7*x = -3*y + 2*x + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v. Let h(u) be the second derivative of u**3\/6 - 5*u. Give h(l(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -312, -758, -1354, -2112, -3044, -4162, -5478?\n\"Answer: -2*a**3 - 63*a**2 - 243*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 111505427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:40 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16120, -32271, -48464, -64699, -80976, -97295, -113656?\nAnswer: -130059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*5\/(-5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45177 is divided by 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**4\/2 + 7575*o**3\/2 + 185640*o**2 + 2990720*o + 16005120 = 0.\nAnswer: -16, 1563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 231*a. Let g(u) = 2*u + 17819. Give g(w(d)).\nAnswer: 8*d**2 + 462*d + 17819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-6)\/3)\/(-1). Let r be 0 + (1 - c) - -77. Suppose 3*q - 8*q = -r. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 7, z: 1, k: 2, x: 4}. Give prob of picking 1 x, 1 z, and 2 k.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 2, m: 1, s: 1, q: 2, z: 1}. Give prob of picking 1 m and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + -5*sqrt(1100)*1 + sqrt(1100) + -2 + (sqrt(1100) + -1)*-4 + -2)**2.\nAnswer: 640*sqrt(11) + 70416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12202 (base 3) to base 15.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 - 2*s - 3. Let m(y) = 5*y**2 - 3*y - 4. Calculate -4*i(v) + 3*m(v).\nAnswer: 4*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 11*h - 9. Let b be u(-12). Solve 5*y = -10, 0*p - 4*p = b*y - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/(-252)*(27\/(-150))\/(-3)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*g + 5*g**2 - 3*g**2 - g**4 + 512*g - 265*g in the form m*g**4 + x*g**2 + k + t*g**3 + l*g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 6*b**2 + 0*b**2)*(-2*b**3 - b**3 + 5*b**3 + (6*b - 5*b - 3*b)*(-5 + 5 + 2*b**2)).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 2*y - 568. Calculate the lowest common multiple of 7 and y.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 - 2*g**4 - 37*g**2 + 22*g**2 wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (178\/65)\/(24\/5). Let r = m + -5\/12. Suppose 0*i - 2*i - 6 = 0. Sort 2, r, i in descending order.\nAnswer: 2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (77 - 31 + 13)*(m + 1 - 1) + 13*m - 1 - 4*m - 14*m as g + c*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -21, -5, 563, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -1025\/11. Which is the closest to 2\/5? (a) -0.1 (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o - 2. Let i(q) = 33*q + 9. Let h be (-3 - (-54)\/6) + (-3)\/(-1). What is h*k(u) + 2*i(u)?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Let w = -6.3 - -1.3. Let y = -5.2 - w. What is the closest to u in 4\/3, 3, y?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 757 + 397 + 7*a + 574.\nAnswer: 7*a + 1592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/12 + 19*f**3\/6 - 19*f**2. Let d be h(7). Suppose 2*s = -d*s + 343. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 25*u + 4. Let v be l(7). Suppose 3*f - 19796 = -v*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 13.7. What is the second biggest value in b, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2214 + 15513?\nAnswer: 21030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.119.\nAnswer: 1.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/18 and 79\/51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.300778 + -4.443456.\nAnswer: -3.142678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*78\/99*1551\/94?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 15*o**2)*(0*o**3 - 5*o**3 + 4*o**3).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.34 - -0.34. Let p = -169 - w. Let q = -144.999909 - p. What is q rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*v - 50, 5*b = -6*v + 2*v + 100. Let u be -3 + (-5)\/(v\/385). Let c = 88 + u. Solve 3*p + 4*m - c = 0, -3 = p - 3*m + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1)\/((-21)\/((-168)\/32))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*s - 175*s = -393*s - 520 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/180*-10 - 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-354)\/42 - -12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + d**4 - d**4)*(2 - 2*d - 2) - 4*d**5 + 2*d**5 - 2*d**5 + 2*d**5 + 2*d**5 - 3*d**5 + d**5 - d**5 - 8*d**5.\nAnswer: -13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 + j - 5. Let v be q(4). Which is the closest to 1\/3? (a) 0.2 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 4*r + 3*r)*(0 - 1 - 1) + 5*r - 3*r + 7*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 28250?\nAnswer: 84750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*x - 4 = 4, -x = 3*g + 4. What is the nearest to -1\/4 in -4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -4\/5, 3.6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-45)\/5 - -4). Suppose 3 = g*t - 12. Solve 2*x - 1 + t = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2331a (base 11) to base 2\nAnswer: 1000001101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = i - q, -4*q = -i + 380 - 28. Calculate the remainder when i is divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 2}. What is prob of sequence wd?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4290 and 83\/235144650?\nAnswer: 2586591150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.02 - 0.02. Let z(b) = 99*b + 1589. Let d be z(-16). What is the second biggest value in 4, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*g = 160, 2*y + g - 148 = -y. Suppose 0 = t - u - 12, -t - 4*u + 5 + 7 = 0. What is the greatest common divisor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**2 - 315*b - 16. Give q(-45).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26749938*m**3 + 423297*m - 26 wrt m?\nAnswer: 160499628*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*s - 66 = -2*s, -4*s = 8. Suppose 5*u = 3 - 18. What are the prime factors of (-2)\/u - b\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + g + 4*g - 17 = 0, -2*a + 5*g - 11 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(16\/258) - 35\/5. Let k(z) = -765*z**2 - 136*z + 136. Let s(a) = 17*a**2 + 3*a - 3. Calculate h*s(y) - 3*k(y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66\/185 or -6\/5?\nAnswer: 66\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (302 - 95 - 104)*(66*k - 14 + 33 - 19) in the form y*k + q and give y.\nAnswer: 6798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otg when three letters picked without replacement from gzogggzotoz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.46 - 8.26. Let g = -20.2 + 18. Let k = g - 0.8. What is the second smallest value in 3, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 3454.\nAnswer: 165792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*k**2 - 4*k**3 + 2*k**3 + 3*k**4 - 34*k - 38*k + 73*k as j + m*k**2 + l*k**4 + p*k**3 + b*k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**10\/10080 - n**9\/2520 - n**8\/2240 + n**4\/3 - 4*n. Let r(y) be the third derivative of h(y). Factor r(g).\nAnswer: -3*g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.59 + -3335489932659\nAnswer: -3335489932658.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 72652537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Let b = -11 + 28\/3. What is the third biggest value in z, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 294. Calculate the remainder when z(121) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 8*i + 4*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 20*z + 93. Let p be k(24). Let f be ((-1728)\/60)\/(p\/60*-4). Is f <= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x - 11*x)*(1 + 1 + 0 + x**2).\nAnswer: -15*x**3 - 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10035, -10067, -10099, -10131, -10163?\nAnswer: -10195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(84)*2*2)\/((-5*sqrt(144))\/(sqrt(12) - (sqrt(300) - -2*sqrt(300) - sqrt(300)))).\nAnswer: -36*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 22, -2\/3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + b = 0, 2*b = 2*y. Let m = -2520 + 2527. Solve l + 0*f + m = -3*f, y = f + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229.8 * 0.03\nAnswer: 6.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) -6\/13 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7182, -14093, -21004?\n\"Answer: -6911*x - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l + 116 = 0. Suppose -230 = -4*r + 230. Calculate the remainder when r is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 89?\nAnswer: 5\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:30 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p**2 - 8*p**2 + 6*p**2 + 0*p**2 + 3 + 6*p. Let a be n(8). Let i be 128\/22 + (-14)\/a. Let v(t) = t**2 - 9*t + 8. What is v(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + -129. Let v = 12 + -18. Let u be ((-4)\/v)\/(6\/z). Is -17 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (943 - 726 - 643)*(-l**3 + l**3 - 2*l**3).\nAnswer: 852*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyj when three letters picked without replacement from {y: 3, j: 2, v: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1892356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/9 - (-4)\/18. Let w be (1\/2)\/((-20)\/n). Let k = -0.1 - -0.3. Is w >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2373 or 35\/33?\nAnswer: 35\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/(-8))\/4*2\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:38 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + -2 - (sqrt(17)*-2 + -2)**2 - ((sqrt(68)\/sqrt(4))**2 + -2 + sqrt(51)\/sqrt(3)*4).\nAnswer: -89 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601262163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -1049*h**4\/6 + 5*h**3\/6 + 2*h**2 - 4. Is n(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132023133 - 33?\nAnswer: -1132023232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/2 - -123\/14. Let k be (-155)\/(216535\/254) - 146\/(-77). Find a, given that 4*a**3 + 18\/7*a + 32\/7*a**2 + 4\/7 + k*a**4 + m*a**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 6*o. Does 20 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5322 take away 7?\nAnswer: -6.4678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 16740279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128309511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(3\/4))\/c)\/(c\/c**(-6)*c))**(3\/10)*((c**(-1\/6)\/c)\/(c**3*c))**(1\/62) assuming c is positive.\nAnswer: c**(-289\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579\/8 - -72. Let q = -4 + 3.9. Which is the closest to q? (a) 0.2 (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -159430\nAnswer: -1\/79715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348948 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 + 35*j**2 - 4*j**3 + 6*j**3 - 2*j - 11*j**2 in the form h*j**2 + m*j**3 + v + w*j and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*w - 228*w - 229*w - 221*w - 238*w + 1156*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -152*q - 905. Let y be i(-6). Put y, -3, -2, 4, 12 in ascending order.\nAnswer: -3, -2, 4, y, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from pwgwpapgoogwwpppopwa?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135*o + 7 + 98 + 14 - 19 with respect to o.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7130 divide 662131427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*3*sqrt(1008)*-1*3)**2.\nAnswer: 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 515*s - 23693. What is q(46)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y**3 + y**3 - 11*y**3 + (-3*y + 3*y + 2*y**2)*(9 + 4*y - 9))*(-2 + 2*y**2 + 2).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31604 - 13187. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 528199, 528186, 528173, 528160, 528147, 528134?\n\"Answer: -13*v + 528212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24488 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 457466 at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45 + 0.05. Let s = -0.4000001 - g. Round s to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6761 + -6755. What is the smallest common multiple of p and (-87)\/1*(-6)\/9?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12815\/939 - 6\/313. Find the common denominator of x and 31\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31912118.\nAnswer: 2, 7, 367, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 4:24 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 221515177?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.876828 rounded to two decimal places?\nAnswer: 128.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -129\/25514, 0.1.\nAnswer: -1, -129\/25514, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/96)\/((-30*5\/20)\/1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 929.0936g?\nAnswer: 0.0009290936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/25 (b) -1.1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 43 = -5*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose 4*x = -o*k + 16, 2 = 2*k - 5*x + 8. Suppose -k*q = -25 - 5. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 866*f**2 + 3*f - 867*f**2)*(2*f - 4*f + 0*f).\nAnswer: 2*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 12 = 80 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-4*(sqrt(684) + 2) + -3)*-4)**2 - (-2 + 2 + -5*(sqrt(684) + 2))**2).\nAnswer: 7848*sqrt(19) + 159841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*z - 13, -y + 5*y = -12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**8\/1008 - 13*q**7\/630 + 17*q**6\/72 + 769*q**5\/180 - 185*q**4\/3 + 200*q**3 - q**2 - 215*q. Solve k(s) = 0 for s.\nAnswer: -12, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = b + 28, 0 = -5*j + 2*b - b - 84. Let f be (-16)\/(-10)*(-40)\/j. Let a be ((-22080)\/18)\/(f\/(-150)). What is a rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -44. Let h(u) = -u - 5. Let s be h(x). Suppose -76 = -s*c + 209. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -1\/3, -2, -2\/7 in decreasing order.\nAnswer: 52, -2\/7, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*24\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -5*m**3\/3 - m**2 + 2. What is the second derivative of p(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.35, 0.4, -11, -4, -3\/4, 4662?\nAnswer: 4662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.878742 nanograms to kilograms.\nAnswer: 0.000000000008878742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 372983786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 54 - 19 = 0. Let n = 20 - y. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*u - 3*f - 11, u + f + 2 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77719?\nAnswer: 77719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3251 - 40.\nAnswer: -41.3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:00 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, -4, -26, 0.2, -1\/3 in decreasing order.\nAnswer: 6, 0.2, 0.1, -1\/3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1966723 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*x**2 - 4*x**4 + 88*x**2 + x)*(2 - 2 - 1).\nAnswer: 4*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/20 + 10*d**4\/3 + 29*d**3\/6 + 10*d**2 - 100. What is j(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -225*v + 75. Calculate p(-2).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-21)*-6)\/(30\/(-14)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110 + 1000101110101100101?\nAnswer: 1000101110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o - 8. Let p be i(4). What is the highest common divisor of 64 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.33 - 0.13. Let p = -0.2 + 0.7. Sort p, 0, j in decreasing order.\nAnswer: p, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -26 - 15 - -64 - -11.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtggtgggp. What is prob of picking 2 g, 1 p, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24604 or 16740?\nAnswer: 16740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(4\/5))**50*(s*s**(2\/5)\/s)\/(s\/s**1) assuming s is positive.\nAnswer: s**(452\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c**4 + 3*c**3 + 117*c**2 + 69*c - 36 = 0. Calculate c.\nAnswer: -3, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfwwbm. What is prob of picking 1 b and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - -1.90019. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:35 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/241869 and 2\/37?\nAnswer: 241869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5399?\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)*d*d*d)\/d**0)**(-3\/22)\/(d*d**(2\/3)*(d\/(d*(d\/(d\/(d\/d**(1\/3))))\/d))\/d*d**(3\/8)\/d**(1\/11)) assuming d is positive.\nAnswer: d**(-29\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740708, 2962818, 6666334, 11851256, 18517584?\nAnswer: 26665318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j**2 - 2*j + 61. Let t(v) = 22*v**2 + v - 41. Give -3*t(q) - 2*y(q).\nAnswer: -24*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -33. Suppose -355 - 205 = -d*o. Let k = -76 + o. Solve -k*s = b + 22, -b - 2*b = -s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -29. Let b be (-6)\/(-4)*(1 - i). Suppose -6*q + 6 = -b*q. Solve -1 = q*o - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + -4 + -3 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = -276*s - 16324 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i**3 - 10*i**2 - 11*i**3 + 8*i + 18 - 2*i = 0. What is i?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327992*b**5 - 117*b + 1092 wrt b.\nAnswer: 6559840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guo when three letters picked without replacement from {o: 1, u: 2, i: 10, g: 1, h: 3}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-28) + 108\/1092*416?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79547?\nAnswer: 13, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -20. Let g = x + 15.5. Put g, -4, -0.2 in ascending order.\nAnswer: -4, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + j + j + (3 - 5 + 4)*(-1 - 2*j + 1) - j - 2*j + 2*j + 2.\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.177586 rounded to 3 decimal places?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 + 21*q)*(2*q - 4*q + q) in the form r*q**2 + y + j*q and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1846, -7378, -16598, -29506, -46102, -66386?\n\"Answer: -1844*j**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 + h**2 - 8*h. Let i(z) = 7*z**3 + z**2 - 17*z + 1. Let u(o) = -4*i(o) + 9*m(o). Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 56. Suppose -p + 41 = c. Solve -4*a + 4*k = -0*k - p, 0 = -2*a - 5*k - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -61 (b) -0.079 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 + -1.05. Let g = -3.3 + q. Let v = -0.2 - g. Which is the second biggest value? (a) 0.4 (b) -4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*f = 2*f + 5, 0 = f - 3. Let o = x + -3. Let i = o + 5. Solve -i = 2*d + 5, 3*c + 3*d + 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/245 - (0 - 6\/10) - (-741 + 731).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97851, -195685, -293505, -391311, -489103?\nAnswer: -586881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 8*a - 3*a)*(68*a + 2*a + 38*a + (-5 + 3 + 1)*(-3*a + 0*a + 5*a)).\nAnswer: 212*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 80*w - 77*w + 9, 0 = -r - 5*w - 9. Sort 29, r, -1.\nAnswer: -1, r, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23)\/o**(-1\/3))\/(o**(3\/5)*(o*o**(4\/5)\/o)\/o) assuming o is positive.\nAnswer: o**(7\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - -14. Let r = l + -80. Let s(q) = -r*q + 4*q + q - 4*q. Let o(p) = -3*p. Give o(s(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798214.\nAnswer: 2, 399107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10936 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from whhhhhhhwwhhhh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 + 76*d + 6. Let q(w) = 13*w**2 - 160*w - 13. Give 9*k(z) + 4*q(z).\nAnswer: -2*z**2 + 44*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255307832.\nAnswer: 2, 13, 2454883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 482227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 130 - 150 = 0. What is the remainder when b is divided by ((-315)\/84)\/(1\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 1845*c**2 - 127420*c.\nAnswer: -5*c*(c - 277)*(c - 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3750)\/325 - 6\/13\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 3*l**4\/2 + 41*l**3\/2 - 51*l**2\/2 - 33*l\/2 - 319. Factor r(c).\nAnswer: 3*(c - 1)*(c + 11)*(4*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.41 + 31.41. Sort 5, -1\/10, s in descending order.\nAnswer: 5, s, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 31. Let x be f(-9). Let i = 0.256 + -0.156. Put x, 5\/13, i in ascending order.\nAnswer: x, i, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517 + 520 - 1037 + 68*b.\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -59\/8, 150, -3, 0.5 in ascending order.\nAnswer: -59\/8, -4, -3, 0.5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Let i(x) = -3*x + 6. Determine i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -59. Suppose -t = -2*n + 4*d + 68, 0 = 2*n - 3*d - 114. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + z + 83, 2*c - 3*c = 2*z - 30. Suppose 3*v + 124 = -2*u, -2*v = -u - c - 27. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -3*a**5\/20 - 5*a**4\/12 - 5*a**3\/6 - 5*a**2\/2 - 35*a. Let t(k) = -k**3 - 2*k**2 - 2*k - 2. What is 2*b(u) - 5*t(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/51, 0.5, 3, -18?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + 0*f)*(5 - 4 - 2) - 3*f - 3 + 3 - 126 - 22*f - 28*f + 125.\nAnswer: -55*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*p + 37942 = 0, 63234 = 5*m - 53*p + 56*p. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189150247 rounded to five decimal places?\nAnswer: 0.18915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*d + 6, -y - 2*y = 3*d - 3. Which is bigger: 12\/5 or y?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 910 and 1747200?\nAnswer: 1747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14. Suppose -3*w + 4*u = 2*w - 154, 2*u - 76 = -o*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = 44*i + 9*i - 525 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 35. Let x = r - 15. What is the third biggest value in -9, 2, 1\/3, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442887340 to the power of 1\/3, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 - 226. Which is the closest to 2? (a) -0.7 (b) -5 (c) k (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -3, -11, 3\/2, -0.04, 2\/49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.02, 1, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + 10 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1. Let z(w) = -w + 45. Give -4*r(n) - z(n).\nAnswer: n - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -159*37*(-9)\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rldeelkleeededhd. What is prob of picking 1 r and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 225 + 1098 = 0. Let d = w + -175. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -30, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-2) + (-7 - -15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g + 159. Let x be t(-17). Let s be (-10)\/x*-6*(-4)\/(-660). Which is the fourth smallest value? (a) -1 (b) 4 (c) s (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 0. Let k be (-2 - 0) + 5 + x. Let r(l) = l**2 - l - 70. Let w be r(-8). Solve 0 = -c + 2*z - 5, z - k = w*c + 4*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1353 - -912. Let m = d - -445. What is the closest to -0.2 in m, -0.2, -3\/7, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(30)\/sqrt(10))**2*1 - (sqrt(3) - (sqrt(75) + (sqrt(75) - (3*sqrt(75))**2)) - sqrt(36)\/(1*sqrt(12))).\nAnswer: -671 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s - 8 = -2*j - 26*s, 0 = 4*j - 2*s - 16. Put 1, 5, j, 13 in increasing order.\nAnswer: 1, j, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 - 40\/(-6). Is (-4 - -7)*446\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53869.21 years?\nAnswer: 646430.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26855 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((((h*h**(-1\/3)\/h)\/h)\/h)\/h)\/h)*h\/h**(-2\/23))**(-1)\/((h*h*h**(-2\/7))**(-49)\/((h\/(h**(1\/5)\/h))\/(((h\/(h*h**(-7)*h))\/h)\/h))) assuming h is positive.\nAnswer: h**(26006\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01787 - 0.98213. Is -6\/2857 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2840868 and 1269.\nAnswer: 8522604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s + 2*w, 5*s - w = 2*s - 8. Let k be (-5 - 1 - (s - 2))*-3. Let n = -8 + 11. Solve -2*d + 2 = n*a, -4*a + k + 15 = -5*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66708916.000037 - -66708867. Let v = -112 - -63. Let c = p - v. Round c to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/15))\/(r*r\/(r**(-20)*r)*r*r))\/(r**(-4\/5)\/((r\/(r*((r\/((r*r**(-30)\/r*r)\/r))\/r)\/r))\/r)) assuming r is positive.\nAnswer: r**(-769\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.6753 litres in millilitres?\nAnswer: 406675.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 29 = 4*f, 117*d = -5*f + 119*d + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56000794 is divided by 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -24091648381?\nAnswer: 24091648379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.108 - 2188429763.354\nAnswer: -2188429763.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = 14. Let p(t) = t**3 - 7*t**2 + 6*t - 10. Let r be p(a). Suppose r = g + g. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -572.95 - -561. Let r = 8.1 + p. Let o = r - 0.15. Sort o, 3, 7 in ascending order.\nAnswer: o, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14*w + 5. Let i(y) = 22*y - 8. Let n(u) = -5*i(u) - 8*r(u). Let a(j) = 4*j + 10. Calculate a(n(b)).\nAnswer: 8*b + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 5*v**3\/6 - 2*v**2 - v - 130. Let m(x) = x - 1. Give 2*g(h) - 11*m(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x - 2*g + 2, x - 21 = -5*g. Suppose 5*j - x*j = -3. Which is the second smallest value? (a) 4\/3 (b) j (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 60924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 5. Let j(t) = -7*t - 20. Let i(n) = -4*f(n) + j(n). Let s(d) = 495*d**2. What is s(i(g))?\nAnswer: 4455*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4318 + -3bb7?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-33))\/(9 + (-17 - -9)). Let u = -17.3 - -18. Put 2, u, x in increasing order.\nAnswer: x, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j*j**(1\/24)))*j)*j**8 assuming j is positive.\nAnswer: j**(167\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10*-6)\/(12\/(-8)). What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nng when three letters picked without replacement from {m: 1, o: 3, g: 5, h: 3, n: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30374011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 25*u + 1 - 27*u + 11. Let j be 2\/(-6)*(45 - 21). What is the units digit of v(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2407*k**4 + 14496*k**4 + 187*k + 191*k - 378*k + (-2 - 5 + 4)*(-2*k**4 - 12*k**3 + 12*k**3).\nAnswer: 12095*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536 and 737?\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (137\/685)\/((-2)\/8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c + 13. Suppose c*g - 2*g = 0. Solve g = -4*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/8 - 11044463*z\/8.\nAnswer: z*(z - 11044463)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -15. Suppose q - r = 7. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 132*k**2. Let s(m) = -10*m - 4. Let q(c) = 5 + 2*c + 2*c + 9*c. Let r(y) = -4*q(y) - 5*s(y). Calculate w(r(h)).\nAnswer: 528*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 277. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(6 + -2 - -4). Let l = 3 + -7. Let o = y + l. Solve 2*p = -p + o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1136107.3 * 0.3.\nAnswer: 340832.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 230.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c - 1. Suppose -5*y + 2*v - v = 5, -y + 3 = -v. What is i(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y - 7. Let r(k) = k**2 - k - 7. Let i(g) = -6*r(g) + 7*x(g). Let s be i(-4). Suppose 0 = 3*d - 14 - s. Which is bigger: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*t - m, 25 = -5*t + 1707*m - 1711*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11323165 and 7?\nAnswer: 11323165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -11*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 384580*-1\nAnswer: -384580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -361.\nAnswer: 3.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2073 + -1545. What is the greatest common factor of w and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21356856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 193283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-55) + 6\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -0.2, -42, -1.1761 in increasing order.\nAnswer: -76, -42, -1.1761, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:13 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.7 - -12.54. What is the second smallest value in 1, z, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1\/60*w**6 + 0 - 1\/12*w**4 + 0*w + 3*w**2 + 1\/6*w**3 - 1\/210*w**7 + 0*w**5. Factor d(y).\nAnswer: -(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 24. Let u be h(12). Solve u*p**4 - 16*p**5 + 83*p**3 - 6*p**2 - 63*p**3 - 4*p - 13*p**2 + 7*p**2 = 0 for p.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 209 = -5*i, -9*i + 6*i + 4*i = -3*c - 35 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -22?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 e when three letters picked without replacement from {e: 1, f: 1, c: 3, w: 1, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 + 50*b**2\/9 + 2*b\/9 - 50\/9.\nAnswer: -2*(b - 25)*(b - 1)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10812\/170)\/53)\/(3\/185)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 716.1262 litres?\nAnswer: 716126.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 18751070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(2\/1) + 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 - -5.09. Let z(r) = r**3 - 36*r**2 + 37*r - 63. Let u be z(35). Suppose 24 = -u*j + j. What is the smallest value in c, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(1\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/((-12)\/108). Solve 4*r = u + 8, -3*u + f*r - 4 = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(1\/1*-1). Suppose -72 = -y*c + 4*j, -5*c + 6*j + 115 = j. Suppose 3*o + 30 = f, -f = -4*o + 3*o - c. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/((-2)\/(-6)). Let f(u) = 6*u**3 - 3*u**3 + 6*u - 4*u - 2*u**3 - 2 - 3*u**2. Is f(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 30*j + 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x + 10. Let d(l) = -l**3 - 11*l**2 - 11*l - 8. Let q be d(x). Suppose -4*g = -j + 107, -22 + 266 = q*j + 2*g. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/((-14819)\/1479 - -10)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s. Let k(j) = 289*j**2. Give z(k(m)).\nAnswer: -2601*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 97.4. Let i = -13 - x. Suppose 0 = -o - 3*o. Sort o, -4, i in descending order.\nAnswer: i, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2559 is divided by 135.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, -1\/5, 0.64, 2 in descending order.\nAnswer: 2, 0.64, -1\/5, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - u**3 + 2*u**3 + (-2*u**2 + 3*u - 3*u)*(-u + 0 + 0) + 9 - 3 + u**3 - 1)*(-3*u + 4*u - 4*u).\nAnswer: -12*u**4 - 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -106. Suppose 5*x = -7*x + n*x. Let -5\/3*v**5 + 0 + 2\/3*v**2 + x*v + 4*v**4 - 3*v**3 = 0. What is v?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -5*c**7\/42 + c**3 + 5*c + 4. Let a(i) be the first derivative of y(i). What is the second derivative of a(r) wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (9 + 2)) + 309 + -296\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -t - 3*t. Differentiate 1 - 4*v**4 - 48*v**3 + 2 + t*v**3 wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 1 + 1 + (-f + 2*f - 3*f)*(f**4 + 6*f**4 - 5*f**4) + 31 - 31 + f**5 - 11*f**5 + 8*f**5 - 10*f**5.\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38*0.156\nAnswer: 5.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23005521 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5187986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34277*n = -34437*n + 18560 for n.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81053752 divided by 1352.\nAnswer: 59951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 884 and 15587?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11216 and -69\/2804.\nAnswer: 11216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Let z(s) = s**2 + 4*s. Let w(v) = v**2 + 3*v - 1. Let c(g) = 4*w(g) - 3*z(g). List the prime factors of c(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doddddooodod. Give prob of sequence od.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2792, 4664, 9742, 19628, 35924, 60232?\n\"Answer: 267*b**3 + b**2 + 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 29 + 26*t**2 + 102*t**2 + (-3*t - 3*t + 4*t)*(-t + 3*t + 0*t) in the form j*t + s*t**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 12*x - 690 + 690. Let g(c) = -c**2 + 22. Give v(g(f)).\nAnswer: 10*f**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.88*-59.86\nAnswer: -172.3968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -154*d**3 + 5*d**2 - d + 7. Let p(m) = 77*m**3 - 2*m**2 + m - 3. Determine 5*p(t) + 2*w(t).\nAnswer: 77*t**3 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 30 = 150. Calculate the remainder when 117 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + -7. Let f = n - -67\/2. Let p = 1 - 1.3. What is the closest to -0.1 in f, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**13\/b))**(-1\/81) assuming b is positive.\nAnswer: b**(11\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 30537*k**2 - 61062*k.\nAnswer: -3*k*(k + 2)*(k + 10177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 9, x: 4, u: 4}. What is prob of picking 1 u and 1 i?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {k: 1, z: 4, i: 2, c: 1, q: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31*5\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2056590, -2056626, -2056662, -2056698, -2056734?\n\"Answer: -36*p - 2056554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**(-32) assuming f is positive.\nAnswer: f**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*w + 2683 + 3631 = 0, 0 = 3*l - 4*w - 3782. Suppose 15*g - 13*g - l = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 5*b + 5. Let h be c(6). Let z = -6 + h. Let m = 13 + z. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:48 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*j - 48, -19*x + 17*x - 4*j = -10. Solve -6 = z - x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let i(y) be the second derivative of 4*y**3\/3 - 9*y**2\/2 + 3*y. Let d(n) = -i(n) - 6*q(n). Differentiate d(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -be4c (base 15) to base 13.\nAnswer: -15498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 633 + 16*n - 327 - 268 as q + l*n and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.013, -4, -1\/7.\nAnswer: -4, -1\/7, -2\/15, -0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - 3*f**5 + 5*f**5 + (64 - 64 - 2*f)*(3*f**3 - 11*f**4 - 3*f**3) + (3 - 4 - 1)*(2*f**5 - 4*f**4 + 4*f**4).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -753.6 - -753.1. Which is the closest to -15? (a) -2 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -14.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8773, -17666, -26675, -35794, -45017, -54338, -63751, -73250?\nAnswer: -82829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.282 + -0.252. Which is the closest to -0.4? (a) -0.1 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -0.3. Let x = 0.1614 - 0.0614. What is the nearest to m in 2, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6369200 to the nearest one hundred thousand.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.97. Let d = -6.97 - r. What is the second biggest value in 2, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(4\/12 + (-2)\/12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19550, -19955, -20360, -20765, -21170?\n\"Answer: -405*d - 19145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74767 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 863 - 490. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c204 (base 15) to base 5.\nAnswer: 42012304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 58378, -21.\nAnswer: -21, -12, 2, 58378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 268317173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -225*j*p**3 - 4*j*p**2 - 2*j*p*t**3 + 79*j*t - 216*t**3 wrt p?\nAnswer: -675*j*p**2 - 8*j*p - 2*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 6) to base 7\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2605, 5220, 7837, 10456, 13077, 15700, 18325?\n\"Answer: r**2 + 2612*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.566278 rounded to two dps?\nAnswer: 6.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2752 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 39. Let q(l) = 4*l**3 + 2*l + 1. Let b be q(-2). Calculate the smallest common multiple of c and (-51)\/(-5) + 7\/b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213192?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 12. Let x(l) = -11*l + 9. Let u(s) = 10*s - 10. Let a(b) = 2*u(b) + 3*x(b). What is the tens digit of a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 1?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.6 times 52.144?\nAnswer: 3212.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90007 is divided by 17982?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 261897 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 15. Let g be d(-17). Let x = g - -92. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 4.2\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + p**2 - 4\/3.\nAnswer: -(p - 2)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10261542 (base 7) in base 2?\nAnswer: -11010100111011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 20 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27604*n**4 + 12*n**3 - 135*n**2 - 91*n + 34?\nAnswer: 662496*n + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -3041.\nAnswer: 18\/3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-125)\/255 + (-1)\/(-6) + 0. Let q = k + -7\/136. What is the smallest value in q, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (92\/(-276))\/(1\/(-1176)). Let w be (16\/56)\/(8\/p). Factor 1\/2*z**5 + 4*z**4 + 25\/2*z**3 + 19*z**2 + 4 + w*z.\nAnswer: (z + 1)**2*(z + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100010000110 + 101?\nAnswer: 111100010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - -228. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*z - 4*s, -3*z + 5*s - 5 = 2. Which is the third smallest value? (a) z (b) 1\/12 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.08008 millennia in centuries?\nAnswer: 260.8008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 4*w - 33. Let r be ((-6)\/(-9) - -1)*w. Solve -4 = 2*l + r*b, 4*b - 3 = -4*l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240258 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-25)*r*r)\/r*r*r)\/(r\/r**21))\/((r\/r**(-7))\/r*r*r)**(2\/13) assuming r is positive.\nAnswer: r**(-18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -40*f**3 - 1124*f**2 - 2192*f - 208 = 0.\nAnswer: -26, -2, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 177990.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 - 7. Which is the closest to f? (a) -1 (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 146, 292, 436, 578, 718, 856, 992?\n\"Answer: -l**2 + 149*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14 - 3*q + 1 + 4 - 3. Is m(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/2400*10)\/(2\/2)*885\/118.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 - 67592*w**4 - 405712*w**3 + 270368*w**2 + 1622784*w = 0. Calculate w.\nAnswer: -6, -2, 0, 2, 16904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -3, 3\/7, 8.55?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6596013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2573053891.\nAnswer: 19, 109, 1242421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -0*s - 5*s - 3*o, -4*o - 16 = 0. Let z(p) = -p**3 - 9*p**2 - 10*p - 12. Let f be z(s). Solve f*b = -2*d - 10, 0*d - 3*d + 5*b = -29 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and -0.264.\nAnswer: -19.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 8 = -g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052 + -10116517.\nAnswer: -10116517.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(495) - sqrt(495)*1)\/sqrt(9))\/(sqrt(605)*2) - (sqrt(99)*6 + (sqrt(11) + 1)*-6)) + 0.\nAnswer: -12*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 6, a: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2243\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1923*h - 1472*h + 2870*h in the form l + k*h and give k.\nAnswer: 3321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9924*d = 9935*d - 44. Let u = 0 + -2. Put 5, d, u, -8 in decreasing order.\nAnswer: 5, d, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 56 = 3*a. Let k be 76\/a + 2\/7. Suppose -2*b = 0, 5*u - 4*b - 93 = -28. Solve -5*f + t + 16 = 0, 0*f - u = -k*f + 4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*a**2 + 325*a**2 - 667*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267494334*c**6 - 2530408*c**2 - 2*c - 31 wrt c.\nAnswer: 32099320080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 5*g**2 - g + 12. Let i be k(5). What are the prime factors of (-682)\/(-154) + 4\/i - -720?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*i + 5977*i - 490*i in the form g*i + t and give g.\nAnswer: 5864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/148 and 23\/74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n. Let l(m) = m**3 + 6*m**2 + 3*m + 2. Let k be l(-5). Let s(b) = -4 + 3*b**2 + 2 - 2*b**2 - k. What is s(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0789 times 0.07\nAnswer: 0.005523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 13. Let w = 34 + -28. Let u(x) = -4*x + 26. Let c be u(w). Suppose a - 30 = -c*a. Calculate o(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212304308 is divided by 6516.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from khdda?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -54*v**3 - 7*v**2 - v - 1. Calculate p(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Let j = -0.2 + 0.07. Let z = 0.23 + j. Which is the nearest to -1\/5? (a) z (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 10:32 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7620 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5363070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8976815 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103276.\nAnswer: 2, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*q - 160*q = -138. Let d be 8\/24 + -3*q\/(-9). Calculate the greatest common factor of d and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645*t**3 + 636 + 1960*t + 3*t**4 - 49*t + 2555*t**2 - 512*t**2 - 126*t**2 = 0. Calculate t.\nAnswer: -212, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + -1.87. Which is the second smallest value? (a) 5 (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:41 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 174 - 3537616?\nAnswer: -3537422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -16*j**5\/5 + 11*j + 36. What is the derivative of i(t) wrt t?\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 80. Solve 12 = -v*h + 4*u + 32, -3*u - 8 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30459 + 30466. Solve -108 + 129 = -m*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 12*y**2 - 20*y + 17. What is u(14)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a factor of 15235213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Let q = n - -7. Solve 2*j = s - 4, -s + 0 + 8 = -q*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhifiiiffihfii. Give prob of picking 1 h and 1 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.072 and 22129?\nAnswer: -1593.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 take away -3974939918?\nAnswer: 3974938357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*u + 67, -r + 0*u + 28 = -3*u. Suppose 0 = -2*f - 4*m + 42, -2*f = -f + m - r. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -31. Let d = 16.1 + w. Let g = d - 1.099933. What is g rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2128000863 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnngnrarngrqg. What is prob of sequence nra?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 1 + sqrt(72) + 0)**2 + 2.\nAnswer: -108*sqrt(2) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) 1\/6 (c) 0.2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1240, -1239, -1238, -1237, -1236, -1235?\n\"Answer: k - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -8, 5, 132 in increasing order.\nAnswer: -8, -0.18, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 8*o**2 - 7*o. Let i(a) = 2*a**3 + 7*a**2 - 6*a - 1. Let z(q) = -2*i(q) + 3*l(q). Determine z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -139. Calculate the remainder when k is divided by 41\/(-6)*-3 + (-9)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/(-57)*3\/(120\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 2*d + 1, -147*t + 200 = -190*t - 5*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*c - 16. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13799672 is divided by 32167?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -6. Let z be (k - -14) + (2 - 4). Calculate the greatest common divisor of z and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5269676 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -32 (b) -0.2 (c) 0.5 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwwmwwwmw. What is prob of sequence wm?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -11001?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13572 and 8.\nAnswer: -108576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1181 + -33)*(-6)\/(-21).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27653 rounded to the nearest one hundred?\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/7 + 1142256*k\/7 - 41118624\/7 = 0. Calculate k.\nAnswer: 36, 571092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-3)*j\/j**3*j*((j\/j**(-6))\/j)\/j*j*j*j*j\/((j\/(j**(-1\/4)*j))\/j) assuming j is positive.\nAnswer: j**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6107156 centimeters in millimeters?\nAnswer: 6.107156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**4 - 35*z**3 + 33*z**3 - 14*z**3 + 24*z**4 - 13*z**3 - 3787 with respect to z.\nAnswer: 84*z**3 - 87*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145*(-12 + 8 + 16)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + r = -z + 13, -z - 5*r = 11. Let m be ((z + -4)\/2)\/2. Solve -2*l - 2 = -m*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4826\/399 - 2\/21. Let w be 2\/8 - 7\/(-4). Solve 5*i + w - v = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/3*w**3 + 0*w**2 - 1\/1800*w**6 + 1\/600*w**5 + 0*w + 0*w**4 + 3. Let r(u) be the third derivative of h(u). Factor r(m).\nAnswer: -m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4))**(-1\/35) assuming h is positive.\nAnswer: h**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 57526?\nAnswer: -57523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/10 - 5*c**4 + 621*c**3\/10 + 72*c**2\/5 - 10854*c\/5 - 4536 = 0. What is c?\nAnswer: -3, 12, 14, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*c)*(69*c - 837 + 837).\nAnswer: 138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16966, 33583, 50200, 66817, 83434, 100051?\nAnswer: 116668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 6. Let c(f) = 4*f - 5. Let r be (-55 + 56)\/(2\/8). Give r*c(t) + 3*h(t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujx when three letters picked without replacement from ppnujnxpp?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-10) + (-8)\/40. Suppose v*k + 223 = 5*f - 0*k, 2*f = -2*k + 86. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:33 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kggg when four letters picked without replacement from {k: 2, g: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ba2 + -2d0?\nAnswer: 8c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -139615279457.\nAnswer: 139615279457.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 2.19, 1, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 4:41 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 - 8*y - 9. Let s be i(-8). Let j(b) = -b**3 - 10*b**2 - 9*b + 9. What is the units digit of j(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6)*57\/(-532).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 984 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*o + 189 = 0. Let a be 8\/6*o\/18. Solve -2*n - 10 = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36482.\nAnswer: 2, 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-686)\/(-1029)*(-24)\/4*(-3)\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(-5 + 4 - 42)*(2 - 2*y - 2).\nAnswer: 172*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 671219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, 0, -1.2, -4, -2\/17 in decreasing order.\nAnswer: 4, 0, -2\/17, -2\/11, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 3*q + 1280. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 36 = -2*b + 7*b, -4*x - 2*b = -62. Let v = x - -190. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1955 and -7.\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7045?\nAnswer: 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*j + 70*j + 66*j to h*j + a and give h.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, 1 u, and 1 h when four letters picked without replacement from {r: 2, c: 2, f: 1, u: 1, v: 1, h: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d, 2*m + 4*d = 40. Suppose m*t - 76 = t. Solve 9 = -t*i - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -49747*q + 398076. Give l(8).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-31)\/(y**0)**(-5)*((y*y**(-6))\/y**(5\/4))**(1\/4) assuming y is positive.\nAnswer: y**(-521\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 453667*l + 907333. What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381292957?\nAnswer: 29, 13148033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(72) + sqrt(72) + -1)**2*-4 + 2 + 5.\nAnswer: -1154 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3\/7, 3, 32\/3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.08 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 3, d: 4}. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3234434*c**2*g**3 - 61*c**2*g - 15*c*g**2 + 157*c + 5*g**2 - 5 wrt g?\nAnswer: 19406604*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/2 + (-2 - -1). Let i(f) = -1318 + f**2 + 2714 - 19*f - 1364. Let o be i(18). Calculate the greatest common factor of o and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11164319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/2 + 18088*x**3\/3 - 20448484*x**2 - 1954. Determine t so that d(t) = 0.\nAnswer: 0, 4522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -x, -3*x - 4*k + 9 = -13. Suppose 0 = -3*c + 5*j + 251, -4*c - x*j + 329 + 23 = 0. What is the remainder when 339 is divided by c?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -1, -5, 2 in descending order.\nAnswer: 89, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/4)*j)\/(j*j*(j*j\/j**(2\/9))\/j))\/(j*j*j\/j**3*j*j)**(-3\/13) assuming j is positive.\nAnswer: j**(203\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**3 + 3*d**2 - 3*d + 2. List the prime factors of u(-3).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 1. Let d(n) = -4*n + 5. Let g(z) = -d(z) - 6*o(z). Calculate g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49752, -49753, -49754?\nAnswer: -49755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-363139591.\nAnswer: 726279182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 21*z**2 + 4019*z + 48269. Determine o(-12).\nAnswer: 3065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 7*z - 3. Let o be n(9). Let y be (10\/o)\/(-1)*-15. What is the highest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 - 9*q**4 - 6*q**3.\nAnswer: -3*q**3*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**3 - 5*x**3 - 1 + 6618*x**2 - 20*x - 6605*x**2 to t*x + j*x**2 + h*x**3 + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341.6218755 - 341.63. What is h rounded to 4 dps?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4078928*s - 12236787. What is l(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001666 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8491007, 8491001, 8490997, 8490995, 8490995, 8490997, 8491001?\n\"Answer: l**2 - 9*l + 8491015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 8. Let i be w(0). Let g = i - -28. What is the least common multiple of 2 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/5 - 230464*g\/5 - 6639206912\/5 = 0.\nAnswer: -57616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*v = -20, 0 = -m + 2*v - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -400, -428, -456, -484?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 72, 32, -58?\n\"Answer: -25*l**2 + 85*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45769, 91552, 137315, 183046, 228733, 274364, 319927?\nAnswer: 365410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3332312 + 121?\nAnswer: 3333033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12902 - 12898. Which is the second biggest value? (a) v (b) 1\/3 (c) -12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 824?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*r = 8, 2*l - 10*r + 8 = -9*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 75 = -6*g. Let s be 2\/5 - (-51)\/g. Sort -2, s, 5 in descending order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*2 - sqrt(20))\/sqrt(2))\/(4*sqrt(18)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 213004.86 and 2.\nAnswer: 213006.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 7*q + 5. Let b(c) = -6*c - 4. Let f be b(-2). Let z be (-28)\/(-6)*(-189)\/(-14) - -2. Let j be f\/(-10) - (-507)\/z. Give i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 27\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-16)\/(a**26\/a) assuming a is positive.\nAnswer: a**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - -4. Let d = 1.1 - t. Let a = 4.1 - 0.1. What is the third biggest value in 0.5, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2)\/(q*q*q**(-2\/5))*((q\/q**0)\/q)**18*(q**(-4\/7)*q**(-5))\/(q*q**(-8)\/q*q**(2\/19)) assuming q is positive.\nAnswer: q**(-184\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23396160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(250) + sqrt(17) + sqrt(17) + (-5 + sqrt(833) - sqrt(17)) + -3)**2.\nAnswer: -656*sqrt(17)\/5 + 30177\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*2*sqrt(500) + (-1 + sqrt(500) + -1)**2)*-6.\nAnswer: -6048 - 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (-64 + 45) - -16\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 44.9. Let p = 0.1 - x. Let j = 3 + -2.5. Which is the nearest to 1? (a) p (b) 6\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -9\/16, 2\/5, -69, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13768614 divided by -3\nAnswer: -4589538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115704*m**3 - 20*m**2 + 56475648*m wrt m?\nAnswer: 694224*m - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 12. Let p be a(-5). Let h(m) = -2 + m + 0 - p*m + 3*m**2 + 4*m. Let z be h(-5). Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4811 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 4*w**2 + 62 - 62 in the form r*w**2 + y*w + c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 11. Let q(s) = -s + 7. Let h(d) = -5*q(d) - 2*u(d). Determine h(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10943 - 10929. What is the remainder when (-259)\/(-9) + 8\/36 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*r**2*t - 2*j**2*t**2 + j**2 - 10*j*r**3*t**2 + 3*j*r**3 - j*r*t**2 - 2*r**3 wrt t?\nAnswer: -4*j**2 - 20*j*r**3 - 2*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3774.7005 + -3773. Let f = p + -1.7. What is f rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/30 - v**4\/8 + v**3\/2 + 41*v**2 + 2*v. What is y(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -323*o**2 + 78492*o - 744. Determine h(243).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*x + 10 + 180*x - 75*x - 12 + 1.\nAnswer: 286*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003278 rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**3\/3 - 7*o**2\/2 + 4489*o. Let c = 10 + -5. Determine i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38848 - -38847.8. Which is the closest to r? (a) -6 (b) -1\/2 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 192546.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-8) + -6)*60. Let p = 152 + n. Solve 3*b + 9 = -p*q - 4, 4*q + 2*b + 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28814, 28825, 28836, 28847, 28858?\n\"Answer: 11*v + 28803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:08 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 - 11*a - 7. Let l be v(9). What is l rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5 = 2*g, 0 = 265*o - 268*o - 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -315, -296, -271, -240, -203, -160?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4204 + 4242. Calculate the lowest common multiple of 1330 and j.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3782*v**2*z**2 - v**2*z - 476*v**2 - 119753055*v*z**2 + 2*v*z wrt v.\nAnswer: -7564*z**2 - 2*z - 952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*j**2 - 6 + 756*j**2 + 3 + 21 - 1353*j**2.\nAnswer: 8*j**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -10*f**3\/3 - 2*f**2 - 359. Let h(w) = w. Determine s(h(a)).\nAnswer: -10*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9494 - -1.3494. What is the second biggest value in 75, 16, s?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.52 + 6.12. Which is the nearest to q? (a) 2\/9 (b) 7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-10)\/135). Let t = 2 + m. What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3265, 13665, 30999, 55267, 86469?\n\"Answer: 3467*x**2 - x - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10636829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -34, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -2, 0.604316, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298667.\nAnswer: 298667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + -5 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 - h + 2*h**2 + 4)*((-4*h + 2*h + 4*h)*(h - 44 + 44) + (103 - 34*h**2 - 103)*(-1 - 1 + 1)).\nAnswer: 72*h**4 - 36*h**3 - 180*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -88. Let w be ((-48)\/y)\/(0 - (-6)\/10). Suppose w*f = -4*o + 428, 2*f - o = -2*f + 865. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 5. Let p be b(-7). Differentiate -7*l**2 - 11*l**p + 15*l**2 - 4 with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, e: 6, p: 1}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/6 + 66212*c**4\/3 - 4390774765*c**3\/6 + 74413724657*c**2 = 0 for c.\nAnswer: 0, 102, 66161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g - 5*q - 10, -3*g - 4*q - 29 = 0. Sort 3, g, -1\/3, -2, -0.41 in increasing order.\nAnswer: g, -2, -0.41, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 - 1)*(c - 3*c + 0*c) - c - 4*c + 4*c + (-4*c - 4*c + 3*c)*(1 + 0 - 2) to z + r*c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5308*a + 5301*a = -22981. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*-5\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59239544 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/2, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t + 19\/24*t**4 + 1\/6*t**3 - 2*t**2 - 34. Determine l(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {o: 3, d: 2, j: 1, r: 2, c: 1, n: 6}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 12*c - 12. Solve -32 = 4*s + 2*h - 6*h, 0 = c*s - h + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + 0.28. Let s = -0.1 + 0.1. Let v = s + l. Which is the smallest value? (a) 4 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3132 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d - 1. Let m = 8 - 6. Let c(l) = -l. Determine m*f(w) + 18*c(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a microgram in nanograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 11. Determine g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1757 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89003 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80, 170, 260, 350?\n\"Answer: 90*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 15*n - 28*n + 12*n. Let k(f) = -2*f - 2. Determine -k(y) + 3*o(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2598409*0.4\nAnswer: 0.10393636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3544*h + 7591*h + 4703*h + 157500 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2035\/22)\/((-645)\/43)?\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 43 + (-48 + 5 + 19 - -13).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 5. Let m be n(-2). Let x(h) = h**2 - 3*h - 4. Let q be x(3). What are the prime factors of q\/(-14) - (-103)\/m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -15*v**2 - 31458837*v + 6291768 = 0.\nAnswer: -2097256, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156 a factor of 727608063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 158*h**2 - 553*h - 15396. Determine s(162).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2815 - 933?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 839878 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 6*a - 4, -a - 11 = -3*q. Let t(w) be the second derivative of -1\/10*w**5 + 0*w**3 + 0 + q*w + 0*w**2 - 1\/6*w**4. Let t(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z + 30 = 33 + 197. Solve 0 = 3*q - x - 3, 8*q = 3*q + z*x + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2*p - 2*p)*(p + 0*p + p) + (p + 13*p - 9*p)*(-5*p + 3*p + p)*(0*p - p + 3*p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1492\/5595*(-5)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 - 59*r**2 - 109*r - 1368. Give h(-19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 476 and 272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -36*n**3 - 172*n**2 - 18*n + 9. Let c(v) = 9*v**3 + 43*v**2 + 4*v - 2. Let r(f) = -9*c(f) - 2*x(f). Find the third derivative of r(j) wrt j.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 10*z + 260. Let o = z - 51. Calculate the remainder when 66 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.022 (b) -5 (c) 42\/37 (d) 0.1 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/43? (a) 2 (b) -2650 (c) -1\/2 (d) -5 (e) -0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22269, -22250, -22217, -22164, -22085, -21974, -21825, -21632?\n\"Answer: o**3 + o**2 + 9*o - 22280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 1, -3\/4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a + 50. Let x be r(-12). What is the highest common factor of 16 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -380, 37, -1262?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + ((-2*sqrt(55) - sqrt(55)) + sqrt(55))\/sqrt(5) - (sqrt(11) + sqrt(11) + -2 + -4))**2.\nAnswer: -24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 79*n - 75*n + 5*v, 4*n - v = -8. Solve n = -4*z - 4 + 24, 0 = 3*a + 4*z - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8. Let p = -9 - 37. Let l = -49 - p. Let f(i) = i + 9. Let b(t) = l*f(t) + 4*m(t). Let g(o) = -2*o**2. What is b(g(q))?\nAnswer: 6*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*s - w + 25, s + 10 = 4*w. What is the common denominator of -5\/21 and s\/6 - 1408\/(-252)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - w - 3*w. Let b(h) be the third derivative of 5\/24*h**4 - 53*h**2 + 0*h + 0*h**3 + 0. Give b(u(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1117914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 - 5*x - 4. Determine a(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqeqa. What is prob of sequence ea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 8, j: 3, v: 6}. What is prob of sequence jvic?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*p + 6 = 0, 20*g = 16*g - 4*p + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/45 + 4\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43262519 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*t - 3*t + 7*t + 3*t - 90*t**2 + 193 wrt t?\nAnswer: -180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3161274 (base 10) in base 9?\nAnswer: -5847406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 670 - 1416. Let n = -390 - s. Suppose -n = -8*o + 3*o + g, -5 = 5*g. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpmq. Give prob of sequence mp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*q + 72 = 17, -16 = -4*c + 3*q. Suppose o + 6*s = c*s + 8, -4*s - 27 = -3*o. Suppose 0 = -2*n + 4*g + 298 + 1408, o*g - 25 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 528 - -127. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = h - 0*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 + -5)*(-6)\/9. Suppose 58 = k + 5*v, k - 155 = -4*k + 2*v. Find the common denominator of -3\/32 and (30\/(-72))\/(d\/k).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, -3\/5, -1\/8 in ascending order.\nAnswer: -3\/5, -1\/8, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(243) + 0)**2 + sqrt(243) + sqrt(243) + 4.\nAnswer: 18*sqrt(3) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Solve -4*q + 20 = -w*p, 3*q = -3*p + 2*q - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -4)*1*1\/4. Let p = 1 + -2. What is the closest to p in c, -4, -1\/14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 102204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -6 + 3 + -2. Let q be h\/5*15\/(-2). Solve -2 - 9 = -3*j - 2*i, 3*i = -j + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 69348*d + 5 - 66.\nAnswer: 69348*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q + 0 + 1\/60*q**5 - 4*q**2 + 5\/6*q**3 + 1\/6*q**4. Determine p(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -2*c, 4*c = c + 4*y + 16. Suppose 4*s + 13 = -s - 2*k, 4*s - c*k = 12. Let i be 0*((-1)\/(-2) + s). Is i at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 70 - 41 - ((-4 - -21) + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:16 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((3 - (-9 - -9)) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) -4 (c) 7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**3 - 755*o**2 + 98*o + 5679859.\nAnswer: -12*o**2 - 1510*o + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151b42 (base 15) in base 11?\nAnswer: 63616a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 35494047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 1263120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2904 and 86199432?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*p + 786 = -77*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 743 + -507. Let s = k + -365. Let g = 2 - s. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 5*f + 8. Let x be g(4). Solve 0*z + x*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 252 = x + 8*u, -5*u = x - 255. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 6. Let i(v) = v**2 - 6*v - 1. Let w be i(u). Let n(s) = -6*s - 4*s + 3*s. Give n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2579, 24315, 83143, 197609, 386259?\n\"Answer: 3091*o**3 + 99*o - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -23*r**2 + 5*r. Let f(w) = -12*w**2 + 2*w. Let l(s) = 7*f(s) - 3*m(s). What is the second derivative of l(y) wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187974 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -31, -42, -51, -58, -63?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 3, -12, -33?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(1000)*6).\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14452770 divided by 1205.\nAnswer: -11994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:50 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581768694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1, -92, -2.\nAnswer: -92, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-30) - (-154)\/(-1155)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-4)\/6 - -1). Let c be ((-4)\/(-3))\/(10\/(-30)). Let l be 0*(-4 + r) - c. Solve -3*f - 2*t + 11 = 0, -t = -5*f - 3 + l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 3*n - 4. Give l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -21, -44, -67, -90, -113?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**3\/3 - 434. Let m(l) = 0 + 4 + 7*l + 14*l - 6. Determine m(h(y)).\nAnswer: -42*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*c = 38, 2*c + 35 = 101*m + 3*c + 31 + 23 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -142300 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109515149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 7. Let r be v(5). Let x = -4 + r. Let d(j) = j - 7. Let h be d(7). Solve -4*s + 2*w + x = h, -14 + 6 = 4*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 - 116619*o\/2.\nAnswer: -3*o*(o + 38873)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - a**4 - a**2 + (4*a**3 - 4*a**3 - 2*a**3)*(-22 + 8*a + 22)*(-10 + 3 - 18) as s*a**3 + q*a**4 + t + z*a**2 + v*a and give q.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 1 - (0 - 1). Let v be 2*y*(-12)\/(-72). Which is the biggest value? (a) v (b) -2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 874999*i**2 + 8*i. Let z be s(6). Suppose z = -5*u - 4*l, -l - 2 = 1. What is u rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*v + 4*w - 23, 0 = -4*v + w + 18. Solve 2 = 4*a + 4*k - 6, 2*a + v*k = -2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 31419828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 809*z**2 - 3. Let q(l) = 5*l. Calculate q(p(i)).\nAnswer: 4045*i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 1. Suppose u + 2*u = 4*u. Let c(i) = -10 + u + 9. Let w(v) = 14*c(v) + 2*h(v). Differentiate w(s) with respect to s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/840 - j**5\/420 - j**4\/168 + j**3\/42 + 7*j**2\/2 + 1. Let z(b) be the second derivative of w(b). Solve z(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 25.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*n - 381*n - 9499 = 140*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 47 - 8\/3*j**3 + 0*j - 20*j**2 - 1\/10*j**4. Factor u(y).\nAnswer: -2*y*(y + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Suppose -4*u - u = -g. Let m be 3 - 1 - (-1 - u). Solve 2*t + s = 1 + 7, -t = m*s - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 8}. What is prob of sequence ee?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (88288\/(-979) + 91)*3?\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 242 - 2176\/9. Which is the closest to -2? (a) -0.12 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5*(-135)\/(-405))\/(2\/(-4))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2080 and 51\/4784?\nAnswer: 47840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-50))\/(38228\/(-760) - -49) - 3\/39\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 6*g + 1. What is r(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/62083 and 25\/2478.\nAnswer: 21977382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503404?\nAnswer: 2, 11, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/4 + 231271*y**4 + 1156359*y**3 + 4162897*y**2\/2 + 6475621*y\/4 + 925089\/2 = 0.\nAnswer: -2, -1, 925089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**5 + 13*s**5 + 3*s**5 + 9*s**3 - 4*s**3 - 15*s**4.\nAnswer: 5*s**3*(s - 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 - 5*v**4\/24 + 11*v**3\/3 - 51*v**2. Is r(10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + -1 - (-3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-2 + 58)\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27616 divided by 11\nAnswer: -27616\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3)\/((-72)\/9)*(-24)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - sqrt(192)*-2) + 5)*1*-1)**2.\nAnswer: 240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -59. Which is the nearest to o? (a) -0.03 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1860 divided by -465\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by (-252)\/(-56)*(-58)\/(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3680.057 + 3680. Let x = 65 - 64.843. Let q = x + j. Which is the third smallest value? (a) 0.8 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-4))\/((-1)\/(-4)). Solve -7 = -2*b - r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 516562 or 2066251\/4?\nAnswer: 516562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-17)*f*f**(1\/5))**(6\/23) assuming f is positive.\nAnswer: f**(576\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3995131\/18 + 435613\/2. Let a = x - -4153. What is the common denominator of 31\/12 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2527 and 8601547?\nAnswer: 60210829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 10 = v + 25*i - 9*i, 148 = -80*v + 2*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 2. Let d(a) = -2*a + 1. Let i(h) = 2*d(h) - 3*s(h). Let f be i(-4). Solve 4*t + 5*y = 17, 4*y + f*y = -t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {u: 1, i: 3, q: 5, s: 4, v: 5}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*189579\nAnswer: -18957.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 - c**2 - c + 1. Let r be s(1). Let k = r - -12. Suppose 0 = 3*f + q - 40, -8 = -2*q + k*q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.96 to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**1*w*w)**(-1)\/((w*w\/(w\/(w*w\/w**(-2\/3)*w))*w*w)\/(w\/(w*w**(-1\/2))))*((w**(2\/9)\/w)\/(w\/(w\/((w**(-6\/5)*w)\/w*w))*w))**39 assuming w is positive.\nAnswer: w**(-727\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 439\/6. Let h be 12\/(-110) + (-2)\/22. Let n(a) = a**3 - 2*a**2 + 3*a - 2. Let j be n(2). What is the nearest to -2\/3 in h, j, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 13*j + 45. Let z be l(-5). Does 17 divide (-14)\/z*3 + (-6966)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-20 + 3) - (-5 - (1 + -6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-16)*t*t)*t*t)\/t*t)**(-2\/53)*(t\/(t**(-2\/19)\/t))**(-28))**(1\/18) assuming t is positive.\nAnswer: t**(-10001\/3021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 434312 (base 5) in base 7?\nAnswer: 61415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 486381 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwuuuttmumteutguee. What is prob of picking 1 u and 2 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5\/2 + 475*m**4\/2 + 1075*m**3 - 105000*m**2 - 105840*m = 0. Calculate m.\nAnswer: -84, -28, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0398 + 9.0398. What is the third biggest value in -4, s, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 12*f + 180. What is the least common multiple of 66 and i(-14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/15 + 5 - 39\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 - 12. Let f be m(0). Let n = f + 14. Let c be 3 + (n - 2) + 4. Solve 5*h - 17 = -c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28653496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -56. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-165))\/(24\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrurzzrmrrzluoz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 9*w - 7*w. Let p be 0\/(-1 - w) + 28. Let a be 74000*((-3)\/(-12) + p\/(-16)). What is a rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2894, -5786, -8692, -11618, -14570?\nAnswer: -17554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00771652 rounded to 5 dps?\nAnswer: -0.00772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -7*d**4\/6 + 2*d**2. Let p be z(-1). Suppose -4*i = -5*u - 6*i + 62, -2*u + p = 4*i. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0 + sqrt(171) - sqrt(304)*2)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Let o = 11 + -14. Put o, t, 5 in descending order.\nAnswer: 5, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -56 - 307. Let s be 3 + 43071\/k - (-12)\/(-66). Suppose 10*j - s = -2*j. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9681828 months in decades?\nAnswer: 0.00806819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 64*t - 62*t**2 + 22*t**2 + 66*t + 2*t**2 + 6*t**2.\nAnswer: -34*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 4*u**2)*(3*u + 8*u - 1 - 197*u**2 - 10*u) to the form z + w*u**2 + a*u**4 + l*u + k*u**3 and give a.\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + i + 0*i + (17*i - 4*i - i)*(-1 - 3 + 0) + i - 3*i + 0*i.\nAnswer: -47*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2592845, -5185689, -7778533?\n\"Answer: -2592844*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 386?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.006 less than -3426\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -445403 rounded to the nearest one hundred?\nAnswer: -445400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1457.\nAnswer: -1457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**3 + 24*s**3 + 8*s**3 - 20*s + 5*s + 5*s.\nAnswer: 55*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.123? (a) 12 (b) 3\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -2*sqrt(77)*5 + sqrt(77))\/sqrt(7))**2*-2.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 378249051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3465 divided by 5?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634449 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.614 and -1.\nAnswer: -4.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2\/14)\/(7149\/(-16681)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 132, 124, 108, 78, 28, -48, -156?\n\"Answer: -q**3 + 2*q**2 - 7*q + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 0*b - 3*b - 8*b + 5*b + b**2 - 7. Is 25 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 10*p + 20 = -6*p, -8*c - 2*p + 11 = 27 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a**2 - a + 23. Suppose -5*b = 5*o + 5, 2*b = 5*o - 14 + 19. What is m(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 1:26 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1658574252 divided by -6.\nAnswer: -276429042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100011001010010 (base 2) in base 5?\nAnswer: -3111040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*-2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 15*z + 936*z**3 - 8*z + 69*z**2 - 6*z - 935*z**3 in the form v*z**2 + m*z + k + x*z**3 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30832.\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739 = h - b - 221, -5*h - 3*b = -4760. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8555 + 0.079758?\nAnswer: 3.935258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-17550)*20)\/(28\/63).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/(3\/(-12)))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34473495 is divided by 500?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 61.\nAnswer: 44\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - i**3)*(-i + i - 2*i**2 + i**2 + 5*i**2 - 4*i**2 + (i + i - 4*i)*(-i - 5*i + 4*i) + 2*i - i**2 - 2*i) - 4*i**5 + 5*i**5 - 5*i**5.\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:13 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59363 + 59369. Let o(v) = -v**3 - v. Let m be o(1). Let j be -6*(0 + 1\/m). Solve 0*r = -j*r - t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233110 + 1?\nAnswer: 233111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -5\/12*v**4 + 0*v**3 + 0 + 0*v**5 - 1\/6*v**6 - 4*v + 0*v**2. What is the third derivative of z(m) wrt m?\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/10 and 75\/278692?\nAnswer: 1393460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 + 181 = -f + 3*h, -2*f + 3*h = 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 21*q**2 - 21*q - 16. Suppose -9*m - 29 = 151. Let s be d(m). Find the first derivative of -6*i**4 - 3*i**4 + i**4 + 19 - i**s wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6649\/1098)\/((-22)\/396).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*o - 42, 5*n - o - 3*o - 73 = 0. Suppose -u = -f - 1 - 4, -4*f + 3*u - n = 0. Is (-1431)\/f + (-12)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111111011 (base 2) to base 11.\nAnswer: -1598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + -2 + sqrt(405) - (-3*sqrt(405) + -1)))**2.\nAnswer: -1944*sqrt(5) + 58401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1191.\nAnswer: 4\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(1*3\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 + -198770.\nAnswer: -198770.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/(-2)*60\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - ((5*sqrt(99) + -4)**2 - sqrt(99))) + sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-4)) + -5)*-6.\nAnswer: -702*sqrt(11) + 14976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1215)\/(-120))\/(-27))\/(((-25245)\/30)\/33)?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3 + i + 3 - 503 + 503 + 803*i + (3 - 6 + 2)*(-3*i + 0*i + 2*i).\nAnswer: 805*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -5 + -3*102\/(-18) and 1\/(-2*(-2)\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2 - 18. Suppose 3*s + 15 = c, -c - 34 = r*s - 14. Suppose c*u = u - 5*j - 33, 4*j = 5*u - 81. Calculate the remainder when 35 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 - 8*i + 27. Calculate o(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104501 + -104285.556. Let w = f - 0.444. Let t = -214.9907 + w. What is t rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 7*f**3)*((1 - 1 - 2)*(-1 + 1 + 1) - 1 - 2 + 4).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145.4 + -135. Let q = p - 10. Which is the smallest value? (a) 0.2 (b) q (c) 1\/11 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -41, 2, -190, 6, 4 in decreasing order.\nAnswer: 10, 6, 4, 2, 0, -41, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2516 and -31\/610.\nAnswer: 767380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16226 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - (-76)\/(-18). Let n be -17 - (a + (6 - 1)). Let c = -15 - n. Solve 17 - 5 = -c*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 300, 1422, 3374, 6174, 9840, 14390, 19842?\n\"Answer: 3*b**3 + 397*b**2 - 90*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*0.251148\nAnswer: 0.8539032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -44, 254, 4, -4 in descending order.\nAnswer: 254, 4, -4, -40, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 283 = 274 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25818630 by -8606210.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by -1?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 5*l - 8 = 0, 4*c = -5*l - 1. Which is smaller: c or -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(5 - 2)*(-1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2513.9957 to the nearest integer.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 240523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/12 + c**3\/2 - c**2. Is y(11) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 18880 = 2*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64336, -64333, -64326, -64315, -64300, -64281?\n\"Answer: 2*i**2 - 3*i - 64335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 2*o**4 - 2*o**4 + (0 + 3 - 4)*(-3*o**4 + 3*o**4 + o**4) + (0*o + 8 - o + 3)*(4*o**3 - 5*o**3 + 2*o**3).\nAnswer: -5*o**4 + 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (223*p**2 - 426*p + 426*p)*(0*p**2 + 3*p**2 - 5*p**2) - p + 2*p**4 + p + p**4 - p + p in the form i*p**2 + z*p**3 + t + b*p + q*p**4 and give q.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2875, -5747, -8617, -11485, -14351, -17215?\n\"Answer: a**2 - 2875*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 72?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 4. Calculate l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -294\/99865?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0 + 41*j + 5\/6*j**3 + j**2 - 7\/6*j**5 + 65\/24*j**4. Factor x(w).\nAnswer: -5*(w - 1)*(14*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {a: 2, d: 1, n: 14}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6 - g - 4 + 8. Let v(w) = -w**3 + 6*w**2 + w + 1. Let x be v(6). Let m be r(x). Solve -m*f + 0*f + 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -20*h**2 - 20*h**2 + 31*h**2. Let o(b) = 2*b**2. Give g(o(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1 - (-20)\/8). Let z = 13 + r. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x**2 + 0*x**2 + 107*x**2.\nAnswer: 55*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 550360145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)\/d)\/d**13 assuming d is positive.\nAnswer: d**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 3*i + 0*i)*(5 - 2 - 1) + 1 - 1 - i + 13 - 7*i - 13 + 351*i + 135*i + 4260*i + 70*i + 205 - 205 in the form r*i + p and give r.\nAnswer: 4810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 62102*m + 62089. Give l(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1262, 5087, 11464, 20393, 31874?\nAnswer: 45907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1870 = 5*c, 773 = 2*j - 414*c + 411*c. Solve -376 = 3*p - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444239 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(2 + 17\/(-8)). Suppose 3*b = -i + 67. What is the remainder when 33 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(0 - (-2)\/(-50)). Suppose -5*z = 2*l + s, 4*z - 5*z = 5*l + 5. Let d = 1 + 4. Solve 5*u + b = -0*u + 28, 2*u + d*b - 25 = l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 10\/15*-8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1704488 divided by -166\nAnswer: -10268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2\/3 + 268*c - 800\/3 = 0. What is c?\nAnswer: 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/5)*u*u*u*(u*u\/u**(-8)*u)\/u*((u\/(u*u**(-9))*u)\/u*u)\/(u*u**(-2\/3)*u) assuming u is positive.\nAnswer: u**(337\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) -2\/7 (b) -1 (c) 2 (d) -83 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6840630 divided by -1734?\nAnswer: -3945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 5, 8, 36, -2\/5 in ascending order.\nAnswer: -2\/5, -1\/7, 5, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055712533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 92. Suppose 0*l = 5*l - a. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 6189.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 221.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445453 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39848187 divided by 19?\nAnswer: 2097273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1935194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 69 = d - 5*o, -4*d - 4*o = -96. Let g(l) = -26*l - 35. What is the remainder when g(-5) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 215*w**2 - 169*w + 36338. Determine g(215).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -21*u**3 - 110 + 8*u**3 + 7*u**3 + 5*u**3 + 31*u**2 + 4*u. Calculate the smallest common multiple of a(31) and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 2*b - 17*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*f**4 + 42*f**2 wrt f.\nAnswer: -4488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8155920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**14\/(z**1)**(-2\/53) assuming z is positive.\nAnswer: z**(2\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3834 and 31\/1917?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 3*y + 175, -5*m + 2*y + 454 = 0. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -110. Suppose 3*d = 3*q + 18, -3*q + 7 = d + d. Calculate the least common multiple of d and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 4*a. Is (37\/(-2))\/(a\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 plus -229?\nAnswer: -226.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 2694 and 2701 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 - 4*n**3\/3 - 3*n**2\/2 - 4*n - 7. Suppose -1 = -2*l - 9. Give c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/4 - 5. Let y(n) = n**2 - 13*n + 8. Let u be y(6). Let g be u\/20 - ((-3)\/(-6) + -2). Which is the third biggest value? (a) g (b) -3 (c) x (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-11 + -21 + 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5508*n**3 - 4*n**2 + 10*n + 2. Let l(z) = 27538*z**3 - 22*z**2 + 56*z + 11. What is -2*l(w) + 11*m(w)?\nAnswer: 5512*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-550)\/66)\/(400\/(-1920))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110000 + -1?\nAnswer: 1100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 - 19*g - 3. Give i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014265?\nAnswer: 5, 7, 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 10. Suppose 2*u + m = 2*m + 22, 0 = 2*m + 8. Is k(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:26 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -887646515 - 2?\nAnswer: -887646517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j + 2227. Let t(a) = -a. Give t(o(n)).\nAnswer: -8*n - 2227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*l + 266 = 236, 2*l - 60 = 10*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14394 divided by 46?\nAnswer: -7197\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 529848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:47 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 153173910 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g - 1543*g**3 + 1541*g**3 + 15*g - 2 + g**2 - 2*g**4 to the form q*g + p*g**3 + a + d*g**4 + u*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -184, -259, -334?\n\"Answer: -75*q - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8473422460 to the nearest one hundred thousand.\nAnswer: -8473400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -732 + 732.2. Let w = 1.8 + -2. What is the closest to -2 in w, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5666 - 2*z + 3*z**2 + 2*z**2 + 5666 to the form t*z**2 + u*z + f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (1 - 7\/(-1)). Suppose 120 = b*o - 2*o. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -246. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*6\/108 + 13400\/(-45). Let g = b + 318. What is the greatest common factor of g and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17363746.\nAnswer: 2, 41, 107, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193 - -144. List the prime factors of h.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -28 + 44. Suppose 0*n + q*u = 2*n + 269666, -4*n + 2*u = 539332. Let z = n + 65833. Round z to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 55*n**2 - 5*n + 7. Let p(q) = -274*q**2 + 26*q - 34. Let w(z) = 11*l(z) + 2*p(z). Let k be w(3). Suppose 4*h - 7*h = -k. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**3 + 3*d**2 + 16*d - 11. Let a(y) = 9*y**3 - 2*y**2 - 12*y + 9. Give 4*a(n) + 3*c(n).\nAnswer: 6*n**3 + n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:59 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 108 (c) 4 (d) 0.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13653 and 11655.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2372 - 1876. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*y + 44. Let a be (-7 + y)*18\/(-5). What is the remainder when (18\/a)\/(2\/164) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 4*o - 3*o)*(-12*o**2 - 33*o**2 - 27*o**2) + (9*o**2 - 2*o**2 + 0*o**2)*(5*o - 3*o + o) to p*o**3 + t*o**2 + f + q*o and give p.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {c: 3, t: 1, n: 2, j: 1, u: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -9. Suppose d + l = 4*g, -2*d - 5*g + 7 = -3*d. Let k = 1 - d. Solve 3*a + 12 = 3*j, -k*j + 21 = -5*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(2\/9). Suppose 0 = 4*f + 55 + 9. Let x be ((-3)\/(-12))\/((-2)\/f). Solve -q = x*b - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - (-8 + 0)) + -2 + 4. Let n(d) = 15*d**3 + 7*d**2 - 7*d + 7. Let h(c) = 8*c**3 + 4*c**2 - 4*c + 4. Determine z*n(m) - 7*h(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 6096?\nAnswer: 42672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*i = -2*o + 505, -189*i + 185*i = 12*o - 14*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3 - 2*o**3 + 4*o - 2*o**3 + 2*o**2 + 3*o**3. Let r be p(3). Suppose -5*b + 120 + 145 = r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4\/51 (c) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, j: 2, z: 1, c: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*v - 86. Let c be (-2 - -4)\/(1\/(-20)). Let r = v - c. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 10*z - 7. What is the units digit of k(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 24. What is the hundreds digit of 3*(-412)\/(-12) + q + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2715)\/105 - (-66 + 41)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*2\/(-9)*-3. Let i(m) = m**3 - 3*m**2 + 4*m - 2. Let y be i(z). What is the second smallest value in y, 0.4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/8)*b\/(b*b*b*b\/((b**15*b*b*b)\/b))*b**(-3\/5)\/(b*b**(-14)) assuming b is positive.\nAnswer: b**(1041\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 4. Suppose 4*q = q - 2*t + y, 0 = 2*q + 5*t - 10. Suppose q = -2*r + 1 + 7. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272 - (442 - 189) - (10 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -22 - 33*h + 43 + 92 + 11*h + 1. Let y be q(5). Solve 2*x - 2 = d, 3*x + x - y = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 - t**3\/3 + 2*t**2 - 3*t + 1. Let f be c(2). Let s(g) = g - 1. List the prime factors of s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f**4 - 140*f**3 + 6495*f**2 + 29540*f + 9120 = 0. Calculate f.\nAnswer: -24, -4, -1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627599900 to the power of 1\/3, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -4.8\nAnswer: 7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2. Let p(j) = -58*j. Calculate p(u(z)).\nAnswer: -232*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 464662840 a multiple of 1465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + -6*(-4 + sqrt(1100) + sqrt(1100) + 1*sqrt(1100) + sqrt(1100) + sqrt(1100)) + sqrt(1100)*2*-5 + (-1*-1*sqrt(1100) - sqrt(1100)).\nAnswer: -400*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {q: 1, e: 3, v: 2, i: 1, t: 3, g: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.471282 or -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.08398168 in increasing order.\nAnswer: -0.08398168, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 8) in base 13?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*k**5*k))\/k)\/k**(3\/4)*k**(3\/4)\/k**9)\/((k*k**(1\/17))\/k*k**2\/k)**5 assuming k is positive.\nAnswer: k**(-345\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0539914*-5.\nAnswer: -0.269957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/13644 and 103\/24?\nAnswer: 27288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 25504?\nAnswer: 484576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1131542\/103*(-18)\/(-36). Let z = 5493 - f. Let t = z - 266\/6077. Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -4*q - 5*i - 120, 0 = -3*q - i + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1720)\/12 - 5\/3. Is -149 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1224 = -2*f - 1199, -f = 27*j - 728 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688553.6 micrometers in kilometers?\nAnswer: 0.0006885536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/272)\/(21\/180). Let r = z - -2\/119. What is the third smallest value in 3\/17, r, 3\/5, -0.1?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1500*k**2. Let q(t) = -133*t + 85. What is q(w(z))?\nAnswer: 199500*z**2 + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 1 (c) 0 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4103282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2840*k*p - 2488*p - 1 wrt k.\nAnswer: 2840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 6445916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12 and 83\/116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 + 3 = 0. Put 5, u, -5 in decreasing order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.75 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.239 - -0.039. What is the third biggest value in 0.7, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n - 25*n + 24*n + 21*n.\nAnswer: 62*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - 2)) + 0 - (128 + -158 + 54).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374004300 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*t - 18, 3*t - 2*t - 1 = -3*l. Suppose 0 = -l*u - 8*u + 520. What is the remainder when u is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (-3740)\/(-119) - 3)\/((-2)\/(-49))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 0.023 (b) -3.1 (c) -2\/3 (d) 2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7979900 by 398.\nAnswer: 20050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - ((-156)\/30 + 0). Which is the nearest to 1? (a) n (b) -0.07 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 38*o + 136. Let d be q(-3). Solve c - s + 14 = -5*s, 3*c + d*s = -18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let d(p) = p**g - 2 + 0 + 2 - 1. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(38\/(-174))*((-80)\/48)\/5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25343876, -25343877, -25343878, -25343879, -25343880, -25343881?\nAnswer: -25343882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*h**2 - 6*h + 26?\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -203509.516 * -5.\nAnswer: 1017547.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 735379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 139 - 22 = 0. Suppose q + 3*i = h, 3*q - 2 = -4*i + 17. Solve 3*l - 4 = -q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -350*c + 2101. Calculate f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + -4*(sqrt(5) + (3 + sqrt(5) - sqrt(5))**2))*-3.\nAnswer: 45*sqrt(5) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3180 and 85639308.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -3*j + 14*o + 48, -4*j + o = -14. Suppose -4*y + 5*d = -42, -5*y - 2*d + 55 = -7*d. Put 4, y, j in descending order.\nAnswer: y, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3433 = -4*g + 3429, -4*g = -5*r + 9. Which is the nearest to r? (a) 0.19 (b) -1 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y**2 - 5*y)*(0*y - y - y)*(67*y - 5*y + 76*y).\nAnswer: 552*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3948132.3 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 168 = 5*u. Let w = -124\/3 + u. Determine r so that 1\/3*r**4 + 1\/3*r**2 + w*r**3 + 0*r + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 3. Suppose -n = 8 - 6. Let c be w(n). Solve -o + c = 4*l, 3*l = 2*o - 1 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -78 = -2904\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 6:26 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 5*m + (1 - 1 + 1)*(0*m - 5*m + 4*m))*(-4*m + 4*m - m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + s = -2*s - 2693, -2*s = -4*r + 5398. List the prime factors of r.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(36\/(-7)))\/(4\/8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 - 2*y - 1. Let a(u) = u**3 + u**2 + u + 1. Give a(q) + d(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46063 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/3)\/(f\/f**5*f*f))\/(((f*f**(-2))\/f)\/f)**(8\/9))**(13\/6))**(-1\/19) assuming f is positive.\nAnswer: f**(-13\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6796*r**2 - 3382*r**2 - 3405*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8292908 at most 8292907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325 and 825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/9578816 and 29\/1588.\nAnswer: 9578816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7618 at least -7608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888704584?\nAnswer: 2, 13, 18160621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 65*i - 63. Let s(u) = 32*u - 31. Let h(c) = 3*k(c) - 5*s(c). What is the first derivative of h(l) wrt l?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) -7\/13 (b) -2\/13 (c) 3 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + u + 44. Let v be h(0). Suppose 0*s - 22 = -2*s. What is the highest common factor of v and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-34 - 5) + (-11 - 16 - -12) + 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649358, 649361, 649362, 649361, 649358, 649353, 649346?\nAnswer: 649337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 + -5)) + (17 - 24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 14. Let v = -11 + j. Find the second derivative of -8*l**2 + v*l + 3*l**2 - 12*l wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 + 6*o. Let k be n(6). Suppose 0 = 4*u - k*u. Suppose 5*p = -5*j - 110005, 4*j + 8 - 4 = u. Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.612 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 216, 712, 1676, 3264?\n\"Answer: 26*z**3 + 2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 50*m - 18*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 + 173 + 4*g**3 + 149 + g - g.\nAnswer: 4*g**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/78)\/16*3*(-8)\/84.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.04, -0.2, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9717 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1059\/35 - 216\/7. Let j = -10\/11 + -15\/44. Which is the third smallest value? (a) w (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5117 and -3\/833.\nAnswer: 35819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968 divided by -12?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -288 - -287.9. What is the nearest to -1\/3 in 13, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688158, 688179, 688204, 688233, 688266, 688303, 688344?\nAnswer: 688389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 112 - 454 + 0*c + 103 + 118 + 109 - 2*c. Suppose 3*v - 2*v = 2. Let n(u) = 2*u**v + u**2 - 2*u**2. Calculate w(n(s)).\nAnswer: -2*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19086311 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 e, and 1 b when four letters picked without replacement from {g: 2, b: 1, q: 4, e: 1, m: 1, f: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 246769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + h = 3*s + 1775, 4*s - 1406 = 2*h. What are the prime factors of s?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -90. Let k(f) = 8*f**2 - 4*f. Let g be k(z). Calculate the greatest common factor of g and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**4 + 9*b**3 + 7*b**2 - 6*b - 6. Suppose 4*q - 35 = -q. Let d(c) = 3*c**4 + 10*c**3 + 8*c**2 - 7*c - 7. Let w(a) = q*u(a) - 6*d(a). Factor w(r).\nAnswer: -r**2*(r - 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**1)\/(j\/j**(-1\/6)))\/(j**1)**6)**(-2\/135) assuming j is positive.\nAnswer: j**(5\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 22 - 2. Let k be (-6)\/c*80\/(-24). Is 8 a factor of 44\/k*(-30)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1306646667.\nAnswer: 3, 48394321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5604 + -509981\/91. Let v = -20\/59 - 212\/767. Let j = r - v. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173298969.\nAnswer: 3, 17, 1132673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-7) + 1 + 1. Suppose -4*a = -a. Suppose -3*d = -a*d. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 150148778.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/8 + 4013967*q\/8 - 6020937\/4 = 0. Calculate q.\nAnswer: 3, 1337986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2 + 31*h - 31*h + 5 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 1 - 26. Let t be (9\/6)\/((-2)\/(-4)). Solve -l + 4 = 2*f, l + t*l = r*f - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:52 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -253053 and -0.5.\nAnswer: -253053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011 (base 4) in base 13?\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*p - 138*p - 12254 - 2776. Calculate the least common multiple of 9 and p.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369191 is divided by 1678?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 4, 1, 0.16, -113\/3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138989 is divided by 1695.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0082 - 0.4082. What is the closest to 1 in 5.6, 1\/57, y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259066 to the power of 1\/2, to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1129*g - 98. What is the units digit of w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.5 - 38.6. Let p = h - 56. Let z = p + -3. What is the nearest to z in 5, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.130522 - -0.048522. Let b = -51 - a. Round b to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 19 + 43. What is the least common multiple of 68 and w?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -46, -0.07 in descending order.\nAnswer: -0.07, -24, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/2*-1)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -417 - 25?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 198442 at most as big as 198432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 4 + 0*c**5 + 9 - 9424 + 8*c**5 + 9424 + (c**3 - 2*c**3 + 0*c**3)*(3*c**2 - 7*c**2 + 2*c**2) + 0*c**4 + 0*c**4 - c**5.\nAnswer: 10*c**5 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 10329 in decreasing order.\nAnswer: 10329, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -116. Calculate the smallest common multiple of k and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(2\/97)\/((g\/(g*g**(-2)*g))\/(g**6*g)))**32 assuming g is positive.\nAnswer: g**(18560\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279 - -6135\/22. Calculate the common denominator of o and -187\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59496 + -0.09496. What is the nearest to 1 in s, 2\/3, -2, 160?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 1, 4, -20, -4, 3 in descending order.\nAnswer: 201, 4, 3, 1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 - 2*j**3 + (3*j + 0*j - 5*j)*(-1 + 1 + 2*j**2) - 2*j**3 + 5*j + 3*j**3 - 2*j.\nAnswer: -5*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5377 times -24994?\nAnswer: 13439.2738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 2, y: 4, h: 11}. What is prob of picking 2 c?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/21 + 8\/28. Suppose 0 = -5*n - 0*n + 5*j - 825, -g*n - 655 = j. Let w = 247 + n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = -2*o + 7*o, 4*c - 21 = o. Suppose -c*l**3 + 2*l**2 + 2*l**3 - 2*l**2 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129414773.000079 - 129414876. Let c = -809 + 912. Let h = i + c. What is h rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 410313?\nAnswer: 410343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 85. Let h = 79 - p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 16.\nAnswer: -147\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62320.39 milligrams to grams.\nAnswer: 62.32039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 116*z**2 + 554*z + 1. Let m be f(-5). Let y = -9 + 6. Put m, y, -11 in ascending order.\nAnswer: -11, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001012 - 10201311?\nAnswer: -2200233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.47 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((102\/(-672))\/(-1*(-14)\/(-49))).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (39\/(-9) + 1)*(-6)\/4. Solve 4*k - k - 15 = -3*f, -k + a = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*x - 5 - 0, 4*x - 27 = -3*b. Suppose 72 = b*r + r. Solve 3*j - 2*a = a - r, -2*j + 4*a = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 3*f - 3*f + (-1 - 1 + 4)*(5*f - 2*f - 5*f) + 0*f - 26 - 8*f + 7*f as v*f + l and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.33617 + 55011?\nAnswer: 55018.33617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6 - (-430)\/(-516). Let x(a) = -a. Let h(o) = 3 + 6*o - 6*o + 4*o. What is i*h(s) - 5*x(s)?\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 10. Let r(w) = -w - 10. Let f(v) = 5*h(v) + 4*r(v). Let u(l) = l + 1. Give f(g) - 8*u(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -15. Let p be 16 - (2 + 0 - 0). Let f be (-18)\/14 - (-4)\/p. Is f != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30172.\nAnswer: 2, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 228, -8 in descending order.\nAnswer: 228, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371205 or 26355482\/71?\nAnswer: 26355482\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 4 (b) -7\/3 (c) -361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(114) - (sqrt(114) - (-4*sqrt(114)*2 + sqrt(114))))*1)\/(sqrt(1080)\/sqrt(5) + sqrt(108)\/sqrt(2)).\nAnswer: 14*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 4357*b**3 + 1 - 4337*b**3 - b + b**2 in the form a + n*b + p*b**2 + u*b**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0 - 6, -3*o - b + 18 = 0. Let c be ((-6)\/(-14))\/(8\/o). Let t = -5.1 - -0.1. Put -4, c, t in ascending order.\nAnswer: t, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34094, 37400, 40708, 44018, 47330, 50644, 53960?\n\"Answer: v**2 + 3303*v + 30790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/3)\/2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0158067902 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/11)\/g**11 assuming g is positive.\nAnswer: g**(-127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 + 146*z\/5 = 0.\nAnswer: 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 0, -4*n + 44*y - 42*y = -20. Suppose -z - n*i = 3, -4*z - 6 = 4*i - 2. Solve -5*b - r = 2*r, 3*b + r + 4 = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 916699*m**2. Let b(d) = 14*d. Determine b(h(y)).\nAnswer: 12833786*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a - 12 = -6*a - 13*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 + 47 - -15 - ((0 - 1) + -7)) + -18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11814 and 11685120?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzd when three letters picked without replacement from odzlzd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpwwrwowwowkwwwwwwww. Give prob of picking 1 w and 1 r.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642088.2ml to litres.\nAnswer: 642.0882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1362965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41597 is divided by 190.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 3*i + 2*w, 4*i + 2 = -3*w - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -25, -59, -105, -163?\n\"Answer: -6*o**2 - 4*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrwreerrbeeebrwb. Give prob of sequence ber.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19*u**2. Let z be j(-1). Let i = z - -22. Let w(c) = -4*c - 3. Let t be w(-2). Solve t*a - 2*a + 3*r = 9, a = -4*r - i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 + (-894)\/(-40) + -10 and -157\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16627 is divided by 204?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9624 + -5335. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 232, 420, 598, 766?\n\"Answer: -5*w**2 + 203*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 - 13*a**2 + 311 wrt a.\nAnswer: -8*a**3 - 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/9, -3, 22, -0.5 in increasing order.\nAnswer: -3, -0.5, -1\/9, 3\/4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177806882 by 6.\nAnswer: 88903441\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57708.9l to millilitres.\nAnswer: 57708900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and 102918?\nAnswer: 102908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 4. Suppose -9 = -8*u + 11*u. What is x(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-10) - 5\/(-2)) + 3. Let k = 14 - 10. Let r(t) = -t**2 + 6*t. Let c(q) = q**2 - 5*q. Give k*r(a) + p*c(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3313 - -132100?\nAnswer: 122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - d59e5?\nAnswer: -d59e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -72.8 times -0.796\nAnswer: 57.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)\/(p*p**(2\/5)))**(-25)*(p**1)**(-1)*(p\/(p*p*p**(2\/7)*p))**(-6) assuming p is positive.\nAnswer: p**(474\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - s - 1. Let l(t) = 508*t**3 - 7*t**2 - 3*t - 3. What is -3*k(y) + l(y)?\nAnswer: 508*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1154 - -969. List the prime factors of z.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + -4.35. What is the third smallest value in 5, -1\/3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 d when three letters picked without replacement from dxrrhte?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1163802467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 2*a**3 - 31 + 79 - 26*a**3.\nAnswer: -28*a**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98395170?\nAnswer: 2, 3, 5, 773, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -0.06, -1\/2, 3, 0.013, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/2*355\/(-284). Solve -3*i = 3, 2*b - h*i = -0*i + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110584769.\nAnswer: 19, 306329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (-2*sqrt(448) + sqrt(448) - sqrt(448)) + sqrt(448) + 0)**2.\nAnswer: -2784 - 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 444461.43 hours?\nAnswer: 2645.60375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -20.38. Let j = w + 0.08. What is the second smallest value in 7, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 2.11?\nAnswer: -1.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 6*i**2 + 2*i + 2. Let x be 1*(-3 - -2 - -1). Let a = x + 6. Is m(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-48)*2 - 6\/36. Suppose -w*z + o + 580 = 0, 0*o = -4*z + 3*o + 1164. 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: Factor 2*p**2\/13 + 352*p\/13 + 15488\/13.\nAnswer: 2*(p + 88)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7fdb2 - 4?\nAnswer: -7fdb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 30*c + 28.\nAnswer: 2*(c - 14)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 8*y**2 + 10*y + 3. Let w be u(7). Let x = 26 - w. Find the second derivative of -2*o**2 + 10*o**5 + 2*o**2 + 0*o**x - 7*o wrt o.\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(8)*-6 - -2*(sqrt(2) + sqrt(6)\/sqrt(3))) + -4) - (-3*-3*sqrt(4)\/sqrt(2) + sqrt(6)\/(-1*sqrt(363))))**2.\nAnswer: 21520*sqrt(2)\/11 + 627288\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-24)*3\/(-1))\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 + 3*f - 2. Let t be r(-4). Suppose -a - 3*p - 3 = 0, 2*p + 0 = -2*a + 2. Solve -3*k = a*s - 15, t*k - 4*k + 22 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162912 + 80444 = -3*k + 74612. List the prime factors of k.\nAnswer: 2, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43451.45 kilometers to micrometers.\nAnswer: 43451450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 31447 - 16*u + 62877 - 31443. Suppose 0*j - 5*j + 85 = 0. Let r be g(j). Solve 0 = 4*a + r*v + 8, a - v = -3*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6856, -13556, -20256, -26956, -33656, -40356?\n\"Answer: -6700*h - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*i + 11*c**2 + 4*c - 2*i - 202 wrt c.\nAnswer: 4*c*i + 22*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2. Let q be k(-1). Suppose -2*h + 20 = 3*l, -16 = -q*l + 2*l + h. Solve 0*t - l*t - 3*b - 7 = 0, -t = 4*b + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*w + 1 = 19, -3*w = 3*t - 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 9:34 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27933*u**3 - 13776*u**3 - 13974*u**3.\nAnswer: 183*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z - 166. Let d(v) = -3*v - 42. Give -18*d(s) + 4*f(s).\nAnswer: 2*s + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 375377240*w - 416443313?\nAnswer: 375377240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 45. Let h be (3\/(-6))\/(w\/(-4)). Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12213 - -123?\nAnswer: -12030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-3 + (3 - 1)). Suppose 0*w = u*w - 44. What is the greatest common divisor of w and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 209 - 25)*(3 - 3 - 2*q).\nAnswer: 468*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-54)\/(-12) - 5)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.025, 0.4, -1, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1548 and 2196?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22980, 45962, 68946, 91932, 114920, 137910, 160902?\n\"Answer: g**2 + 22979*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 c when three letters picked without replacement from {w: 9, o: 5, c: 1, i: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -41. Solve 5*f + z = 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*1)\/sqrt(7)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)\/w**6)**(1\/4)*(w\/w**7)\/(w*w**7*w*w)*(w*w\/(((w\/w**(4\/5))\/w)\/w))\/(w**(3\/2)\/w) assuming w is positive.\nAnswer: w**(-857\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 207976*n**3 - 415968*n**2.\nAnswer: 4*n**2*(n - 2)*(n + 51996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 25.617693.\nAnswer: 30.617693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2396850 divided by 42050.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121472 and 10220?\nAnswer: 4251520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74785 + 74784.930106. Let s = -0.049 - 0.021. Let j = b - s. Round j to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 3*n + 1. Let j be i(2). Suppose 5*x + 971 = 3*m + 17, 0 = 3*x - 2*m + 573. List the prime factors of (-2)\/j - x\/11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, -330, -1, 3, 11 in descending order.\nAnswer: 11, 3, -1, -183, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 13) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 269237.15 - -0.22121\nAnswer: 269237.37121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - o - 3. Let w be u(-3). Suppose 0 = 3*f - 0*f - w. Find the third derivative of -2*r**2 - 5*r**6 + 2*r**6 + r**f - r**3 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v - 8. Let i be w(-1). Find the second derivative of -132*o**2 - 3 - 3*o**i + 3 + 38*o**2 - 78*o wrt o.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001241901 to 7 dps.\nAnswer: 0.0001242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9170 and 560?\nAnswer: 73360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 93?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184690, -187600, -190510, -193420, -196330, -199240?\nAnswer: -202150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v. Let m be j(2). What is the greatest common divisor of m and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:33 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(4\/13))**(-1\/11)*(o\/o**(-1\/13)*o**1)**(-2\/71) assuming o is positive.\nAnswer: o**(-1498\/30459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 10. Let n be t(10). Suppose 0 = -7*u - 24 + n. Solve 0 = -3*q + u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30c4a + 1?\nAnswer: -30c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*r + 40, -4*r = 3*z - 5 - 0. Solve 4*l - 2*h = -2, -h - 8 = -r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185626, -371257, -556892, -742531, -928174, -1113821?\nAnswer: -1299472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2668638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -123*n - 1663. Let v be t(-13). Is v not equal to -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1131 + 1136. Let g(o) be the second derivative of 16*o - 3\/2*o**2 + 0*o**h + 0 + 0*o**3 + 0*o**4 - 17\/30*o**6. Differentiate g(z) with respect to z.\nAnswer: -68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222952 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 12*s - 4*k - 12 = 0, s + 16 = -3*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 31 = l, 3*l - u = -52 + 173. Let k = l - 38. Let f = k + 96. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -28 - 13*r - 5\/2*r**2. Let j(v) = -7 + 0 + 0 - 3*v. Give 11*j(w) - 6*k(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7117 + 57023\/8. What is the common denominator of q and 151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.1399.\nAnswer: 0.04197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:18 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -28915\/4 at most as big as -7228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -812 - -807. Let y = 8 - 7.9. Let a = 0.7 - 1. What is the third biggest value in y, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1033456 (base 9) to base 14\nAnswer: 105ad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 1943*f**3 - 6*f - 56912*f**3.\nAnswer: -58855*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1427406*c. Let q(f) = -211*f**2. Give p(q(y)).\nAnswer: -301182666*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12043 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -188. Let i = -51 - w. Which is the nearest to -22? (a) 1 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-81 - -92) + -5 + 1 + -10 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.4 (b) -4 (c) -8 (d) 0 (e) -2\/7 (f) -2\/445\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3573*t**6 + t**4 + 1457*t**2 + 24*t?\nAnswer: 428760*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 - 637 = 4*n. Sort n, 1, 2, -4.\nAnswer: n, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 15*i - 51. Let k be g(-19). Put -2, k, 1 in ascending order.\nAnswer: -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5 - 2596*m**4\/3 + 90700*m**3\/9 - 25060*m**2\/9 - 5344*m - 1088 = 0.\nAnswer: -1\/3, 1, 12, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -342, -537, -494, -93, 786, 2263, 4458, 7491?\n\"Answer: 20*m**3 - m**2 - 332*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.57 and -3979.\nAnswer: -3978.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**3 - 5*j**2 - 14*j - 8. Let i(v) = 9*v**3 - 3*v**2 - 9*v - 5. Calculate 8*i(a) - 5*s(a).\nAnswer: 2*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220\/39 or 6?\nAnswer: 220\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 6*c - c + (0 + 0 + 1)*(0*c - 2*c + c))*(23 - 243 - 26).\nAnswer: -984*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 32*z**3 + 24*z**2 - 32*z - 28.\nAnswer: 4*(z - 1)*(z + 1)**2*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99328 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g + 100. Let k be 1\/((-20)\/(-4) + 288\/(-56)). Let d be f(k). Are d and 58 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 77. Suppose 0 = -t*s - 0*s + 4. Suppose h - 4*g - 14 = 0, -s*h + 15 = -h - 5*g. Solve -2*x - 3*x - h = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2220)\/80*28\/63\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 152659828.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 4*g + 4*g - 42*g**2 - 44*g + 44*g + (-4*g + 5*g + g)*(-g + 3*g - g) + g**2 + 3*g**2 - 3*g**2.\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116541 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11051205 less than or equal to -11051205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.161537954 rounded to 3 decimal places?\nAnswer: 7.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-20\/7))\/v)*v**(-34))\/(v**(1\/20))**33 assuming v is positive.\nAnswer: v**(-5251\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.59 + -13.5. Which is the nearest to 0.05? (a) 1\/3 (b) 3 (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.51074707 to one decimal place.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.101 - -0.1.\nAnswer: 4.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215 and 4597345.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*o = 40, 0 = 5*i - 6*o + 7*o + 124. Let p = 5 - i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1148 and -5?\nAnswer: -5740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1931 + -1877. Solve -56*l = -k*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*(5 - 44). Let t = o - 8. Suppose -11 = -w - 8. Solve -2 = 5*b - w*y, -b = 6*y - 2*y - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11892, -22630, -32226, -40680?\n\"Answer: 571*p**2 - 12451*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26914 + 33437. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*(-48)\/(-8))\/(-1 + 0). Suppose 0 = 4*v - 2*o + 26, 4*v + 11 = -13*o + h*o. Let u(m) = m**3 + 4*m**2 + 2*m - 4. What is u(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11318, -11339, -11380, -11447, -11546, -11683?\n\"Answer: -g**3 - 4*g**2 - 2*g - 11311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 52, 161, 376, 733, 1268?\n\"Answer: 6*m**3 - m**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 32*i + 56. Let q be r(-30). Let f(m) = -m**3 - 4*m**2 + 3*m - 3. Give f(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214 + -81. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -22, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8661*z + 3671*z + 8152*z + 8442*z - 5064*z.\nAnswer: 23862*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**4\/16 - 5*i**3\/2 + 75*i**2\/2 + 28*i - 25. Let k(z) be the first derivative of x(z). Factor k(r).\nAnswer: 3*(r - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k + 5*z = 295, -k - 44 = 2*z. Let h = 77 + k. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3906073, 7812145, 11718217?\nAnswer: 15624289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12 + 15 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.254 + 0.061. Let y = -0.051 - f. Let v = y - 0.034. What is the nearest to v in 0.1, 0.2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 572*p + 22717. Determine y(-40).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36489, 73779, 111069, 148359?\nAnswer: 185649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9322633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*-1*20*45\/(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72311233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -757 - -641. Let q = u + 881. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0 + 0)*(-3 - 2 + 2) + (-1 + 2 + 3)*(103 - 8906*o + 17811*o - 8903*o) in the form u + c*o and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllvlggvgvlg. What is prob of sequence vv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 47 - 50 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 332151 (base 6) to base 3\nAnswer: 1102000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123174, -122976, -122778?\nAnswer: -122580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {b: 1, n: 10, d: 1, z: 4, v: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 3103148*o + 3103144.\nAnswer: 4*(o - 775786)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11425 is divided by 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -296*c + 95*c**3 + 7*c**4 - 371*c**3 + 81*c**5 - 185*c**3 + 619*c**2 + 2*c**4 + 48 = 0. Calculate c.\nAnswer: -3, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - p**2 + 2*p**2 + (3*p - p - 4*p)*(-1 + 1 + 2*p) + (p + 2*p - p)*(-p + 6*p - 4*p) to the form h + m*p**2 + u*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 494.6026nm?\nAnswer: 0.0000000004946026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*u + 321 + 915 + 901 = -348 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:08 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 56*l - 1732. What is r(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -261419940 and 4342?\nAnswer: 261424282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = -3*j - 16, 3*j + 32 = q. What are the prime factors of -1 + j\/(-8) - (-2494)\/8?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*s**2*t**2 - 2*k*s*t**2 + 23*k + 8*s**2*t**2 + 3*s**2 - 2*s*t wrt t?\nAnswer: 2*k*s**2 - 4*k*s + 16*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(891) + sqrt(891) + sqrt(891) + -3)*-4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339262 - 95909?\nAnswer: -1435171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 + 2*h**2 + 510905*h + 11*h**4 - 2*h**3 - 510905*h to the form m + f*h**4 + p*h**2 + c*h**3 + s*h and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046721 tonnes in nanograms?\nAnswer: 4672100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -2.2, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1290 divided by 72298\nAnswer: -645\/36149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612\/90*((-238)\/16 - -15)*-5?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 28*p + 19*p - 78*p + 22*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 11:29 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/9*(-357)\/(-14). Let n = o + 26. Suppose 6*j + 49 = -j. Is j at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - (0 + 1)) - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 - -18 - (-10 + 18 + -11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-5*(sqrt(2) + (sqrt(10) - -3*sqrt(10))\/sqrt(5)))**2.\nAnswer: -7499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 68 = y, -2*y - 144 = -3*z + 5*z. Let v = y - -78. Suppose v*b - 28 = -8. Solve -5 - 3 = b*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and 130632258.\nAnswer: 130632257.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/210 + 10*a**4\/21 + 30*a**2 + 10. Factor w(q).\nAnswer: 2*q*(q + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 473994 = -5*l. Let f be (-2 - 0)\/(-1) + l. Round f to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3175, 6327, 9479?\nAnswer: 12631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554931138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 1. Let f = 0.1 + s. Let g = -14 + 13.8. Which is the second smallest value? (a) -1 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-8 + -36 + 74 - 36)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q + 42. Let j be o(3). Let i be j + -4 + (27 - 5). Solve -26*y = -i*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) -0.3 (c) 10 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -788.74 + -14.36. What is w rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-6) + (-175)\/(-21). Find the second derivative of -9*y**4 + r - 9*y - 7 wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(1872))**2 + (sqrt(1872)*2)**2 + -2.\nAnswer: 48*sqrt(13) + 9362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4.9914 - -0.5\nAnswer: -4.4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-192)\/40))\/(15\/(-3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20\/9*i**2 - 2\/9*i**3 - 46\/9*i - 28\/9 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140.659 - 0.341. Let u = g - -160. Put u, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261 and (-14612)\/(-14) + (-12)\/63*6\/(-4)?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 1434.\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from rrrrrarraarrrrr.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:21 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 1, j: 1, o: 2}. What is prob of picking 1 y and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 10)*(-2)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - a - 1 + (0 - 2*a + 0)*(-1 + 0 - 1) + a + 3*a - 6*a - 3*a - 3*a + 4*a)*(-13 + 4*a + 13).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - a, 5*a = -3*b - 11. Let i(r) be the third derivative of -r**5\/60 - r**4\/3 - 2*r**2. What is the units digit of i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35346110*p**2 - 97053125*p wrt p?\nAnswer: -70692220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300)*-2*2 + -2)*4)**2.\nAnswer: 1280*sqrt(3) + 76816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2670012 is divided by 625?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10763 and 3295311?\nAnswer: 754626219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -70899086.8 rounded to the nearest 10000?\nAnswer: -70900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(3\/7))**28\/(p**(-1)\/p*(p**14\/p)\/p))**(-3) assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-1 + sqrt(76))*1) - (-1 + (3 + 1 + sqrt(1216))*-1).\nAnswer: 2*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 + 21*s**3 + 18*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 319, 0.1, 0.4 in ascending order.\nAnswer: 0, 0.1, 0.4, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 181513920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.584.\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*t - 12 = -2, -2*f + 2*t + 8 = 0. Let j = 24 + -22. What is the least common multiple of (-14)\/(-2)*-1*f and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 822, 1316, 1940, 2694, 3578, 4592?\n\"Answer: 65*n**2 + 299*n + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 30755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (361 - 233 - 179)*(4 - 5 - 1)*(-1 + 1 - 2)*(0 - 3 + 3*f + 2).\nAnswer: -612*f + 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/4 - 17*y**4 + 141*y**3\/2 - 107*y**2 + 287*y\/4 - 18.\nAnswer: -(y - 1)**4*(y + 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101002 + -12?\nAnswer: 100550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-3))\/(240\/(-288)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5119401, -5119403, -5119405, -5119407, -5119409?\n\"Answer: -2*h - 5119399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 38*c + 225 = -4*s, -4*c = -5*s - 933. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g + 367 - 435 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9380306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689*j - 20 = -692*j - 5*i, -4*i = j - 16. Let r = -3 + 5. Solve 0 = -j*m - 2*m + r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.04, 3, 0.1, 485?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9 - 3 = 0. Determine i so that -11*i**2 + y*i**3 - 4 + 48*i - 28 - 7*i**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27848 + bad?\nAnswer: -26a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-41)\/(-984))\/(34\/(-104)) and 149\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 6*o + 1. Let x = 8 + -14. Let m be h(x). Let y(j) = -2*j. Let a be y(-2). Put m, a, 5 in decreasing order.\nAnswer: 5, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*l - 92*l + 16. Solve 2*y + 0 = 6, l*z = 4*y - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-1 - (-16 - -5))) + -2 - (45 - 42).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q, 2*q - 12 = -4*u + 3*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 7*q + 8. Let g be s(-6). Determine j, given that 6 - g - 4 + j**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 + -2. Let a be 1\/(8\/30*-3). Let t = a + 7\/12. Put t, 0.1, y in ascending order.\nAnswer: t, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((0 - -15) + -9 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.148 - 4.852. Let b = 201 + -164.6. Let w = b + -36. Sort -2, -2\/15, w, o.\nAnswer: o, -2, -2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -482 + 488. Find the third derivative of -68*s**2 - 42*s**3 - 2*s**l - 32*s**3 + 107*s**3 wrt s.\nAnswer: -240*s**3 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 461286 = -44*z - 64*z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3625 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9139036703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120202 + -1220022?\nAnswer: -22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**3 - 654*t**2 - 1071*t - 426.\nAnswer: -3*(t + 1)*(t + 71)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3 - (-53 + 51)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 5:35 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 2 - 2*n**2 - n**3. Let c be w(0). What is the closest to 0 in 2\/19, c, -0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 times 71?\nAnswer: -25.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.763166 to 1 dp.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 24 + (27 - 85) + 16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -451\/10 - -334\/15. Calculate the common denominator of (5\/(-125))\/(10\/2975) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + 5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7548638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**3 + 11*w**2 - 21*w - 7. Is c(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = -3*m + m, n + 4*m + 2 = 0. Suppose i - 9 - n = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/226 and -131\/16911580.\nAnswer: 16911580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllltlllllll. What is prob of sequence lt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244100 and 63466.\nAnswer: 3173300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**3\/2 + h**2 + 4*h. Let f be x(1). Solve b = f*b + 3*r + 1, 3*r + 15 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7635 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 7) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19)*-3 - (2 + sqrt(19) + sqrt(475)).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqqqqstqqst. Give prob of sequence sqq.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261388 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -13 + 28 - 11*g - 11. Let f(v) = -1. Calculate 4*f(d) + m(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -37. Sort 2, p, -4, 3.\nAnswer: -4, p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 127. Let r be (-2)\/8 - 55\/w. Determine k so that r + 5\/3*k**2 - 7\/3*k = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10831\/24 - -1334\/3. What is the common denominator of u and 35\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(21)\/sqrt(3) + 1 + -1 + sqrt(7)*1 + 2 + 5.\nAnswer: 2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 860 + 7522?\nAnswer: 8382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 6, 43, 116, 237, 418, 671, 1008?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 4*i + 5. Let m be a(6). What is m rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -174, -364, -554?\n\"Answer: -190*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-182)\/13 - 88\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1 + 0 - 10*o**2 + 1. Let s(w) = -2*w**2. Calculate s(p(b)).\nAnswer: -200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145b7b (base 15) to base 14.\nAnswer: -1b78bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000745678765 to 7 decimal places.\nAnswer: -0.0007457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-3))\/(6\/27). Suppose 2*g - 1 = 3. Suppose 0 = -4*j - 5*h + 10, -2*h = -5*j + 20 + 9. Solve j*p - k = g*p, -3*t = -2*p - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 9) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.294 + -2.706. Which is the smallest value? (a) h (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 283680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)\/(j\/j**(-8\/3)) assuming j is positive.\nAnswer: j**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 50. Let w(f) = 7*f + 101. Let s(h) = -9*q(h) - 4*w(h). Let n be s(15). Is 31 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.05 (b) 2\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 340*x**2 - 358*x + 6422. Give q(339).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 78\/11, 89\/39, 3, 4\/7?\nAnswer: 89\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 3*x**3 - 3*x**3)*(98*x**2 - 203*x**2 - 49*x + 1 + 103*x**2).\nAnswer: -4*x**5 - 98*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 474942 divided by 293\nAnswer: 474942\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 9*d + 6. Suppose 0*t = -5*t + 25, 3*i = -3*t + 6. Let k = -14 - i. What is the units digit of q(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1055 and 137\/6.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 28 = 19*k + 5*g, k = 3*g + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)\/(h\/h**3))\/(h**1\/h*(h\/h**1*h)\/h) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5\/15 - 46*o**4\/5 - 932*o**3\/5 + 181228*o**2\/15 + 1086382*o\/5 - 1145814\/5 = 0.\nAnswer: -23, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325)\/(-3575)*(2 - 101)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 23 = -2*l, -4*l = l + 2*w + 86. Let z = l - -5. Let a = z + 13. Calculate the highest common factor of 22 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.4 + -52.4. Let g = -7 - -2. Which is the closest to 0.23? (a) 3\/8 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*y - 7, 5*w - 5*y + 75 - 60 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 - 215*q**2 + 309*q + 3912. Give y(-44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let x(g) = -g + 1. Suppose -16*t = 74*t - 135 - 495. What is t*u(o) - 5*x(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -2. Let o(y) be the first derivative of 5*y**4\/4 - 2*y**3 + 8*y - 57. Let q(t) = t**2 - t**3 - 5 + 3*t**2 - 2*t**3. Calculate p*q(k) - 5*o(k).\nAnswer: -k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 0.09 (b) 1.6 (c) -5 (d) -4 (e) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 11449860?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzmqzqrdrrqzzrrzrqdq. What is prob of picking 1 z and 1 d?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2)*(-224)\/1344)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2345.815 millilitres to litres.\nAnswer: 2.345815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:59 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70449527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5708 + -3337. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 - 8)\/(-1 - 0). Let y = 11 + g. Solve -h + 3*b = 12, -y*h + 12 - 36 = -4*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8926 - 8930. Sort -8.2, -2, -0.5, o in ascending order.\nAnswer: -8.2, o, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 + 21*j**3 - 33*j**2 + 15*j = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4835, -19135, -42977, -76367, -119311, -171815?\n\"Answer: -f**3 - 4765*f**2 + 2*f - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 - 2*m**4 + m**4 + (2*m - 3*m**3 - 2*m)*(0*m + m - 8*m).\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/3855 - -2567\/11565. Factor 2\/9*s**2 + b*s**4 - 2\/3*s**3 - 4\/9 + 2\/3*s.\nAnswer: 2*(s - 2)*(s - 1)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -139*(-1 + 5 + -2). Does 57 divide 7 - (w + 5 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/120 and 71\/25350?\nAnswer: 101400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57405193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.008 - 5.008. Which is the nearest to 0.2? (a) -0.2 (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -10 - 1) + -26 - -6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 40 = 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*w - 18, -3*w - 3 = 9. Put b, -5, 4 in descending order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is the third derivative of -9*d**3 - 6*d**3 + 104*d**2 - 18*d**3 + 227*d**4 - 225*d**4 wrt d?\nAnswer: 48*d - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a - 2*z + 16, 0 = a - 2*z + 3. Factor -298 + 148 - 147*k**a - 189*k**2 - 45*k + 147.\nAnswer: -3*(k + 1)*(7*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 23. Let x be t(11). Do -6\/23 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364137 is divided by 1156?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/2 - 3*t**2 + 15*t\/2 + 9 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/(w*w**(-5\/3))*w)**13)**(-6\/11))**38)**(1\/32) assuming w is positive.\nAnswer: w**(-247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52309*b**2 + 27530*b wrt b?\nAnswer: 104618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 53*a - 424. Let p be n(8). Solve 0 = -2*f + v - 2, p = -f - 5*v + v - 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -993a (base 12) to base 3.\nAnswer: -212011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-15)\/2. Suppose 3*j - 4*m + 23 = 0, -5*m - 17 = 4*j - 7. Let l = j - h. Solve -3*v = l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + u**2 - u + 3 + 3*u - 6*u. Let c be -2 - (-9 + (-2 - -3)). Is i(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from ogm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*d + 1030 = -c, d = c - 206. Suppose 14 - c = -3*p. Let h be 93\/12 - 2\/(-8). What is the highest common factor of p and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (sqrt(288) - (sqrt(288) - (-5 + 5*sqrt(288) + sqrt(288)))) + -4)**2.\nAnswer: -1296*sqrt(2) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3621 = -6*q + 6015. Suppose q = 5*b - 3439. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1008 - 1007.999467. What is l rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*c = 10, 7 - 22 = -3*m + 4*c. Let v be m\/2 - -5*(-9)\/90. Solve -h - 16 = -v*h + 4*o, -5*o = 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s + 51*s + 15938 = 0. Suppose 2*k + s = 3*a, -k - 13287 = -5*a - 3*k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 3*b - 12, 5*x - 18 = -b - 38 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*m + 267 - 267)*(-1570*m + 1570*m + 22*m**2).\nAnswer: -748*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 30. Suppose 0 = v - 4*v + 2*h + 59, 0 = v - n*h - 8. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 136.4 and -46507.\nAnswer: -46370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36966217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 272621 divided by 7\nAnswer: 272621\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.97451 + -0.02549. Which is the closest to l? (a) -9 (b) -0.2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 1 + (-2 + 12 - 3).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(19) - (sqrt(190) + sqrt(190) + (sqrt(190) - (1*sqrt(190) - sqrt(190))) + sqrt(190))\/sqrt(10)) + -1.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-9))\/((h**(-2\/3)\/h)\/h)*h\/h**(6\/7)*(h\/h**8)\/h assuming h is positive.\nAnswer: h**(-277\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 25563.19.\nAnswer: 639079.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 585601446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l + 1. Let p(z) = 2*z**3 + 6*z**2 + 6*z + 6. Suppose -5*b = 1 - 16. Let x = -1 - b. Let k be (x + -2)*(2 - 1). Determine k*j(m) + p(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1144 + -1143.997808. What is r rounded to 5 dps?\nAnswer: 0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssww. What is prob of sequence wsw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/22))**(3\/37)\/(b**(2\/47)*b)**6 assuming b is positive.\nAnswer: b**(-239175\/38258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 55000*t**3 - t - 2*t + 105 - 6*t - 2*t**2 - 109. Let m be p(-4). What is m rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2545 + 6063. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b - 56*b - m = -5, -4*b - 3*m - 35 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 888.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 + 2*n**3 - 3*n**2 + 3 + 5*n**3 + 5*n. Let r(i) = 4*i**3 - 4*i**2 + 6*i + 4. Let j(d) = 5*c(d) - 4*r(d). Find p, given that j(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 240 + 14. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 22.409?\nAnswer: -22.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4\/5 - 12362*v**3\/5 - 17718618*v**2\/5 + 4348668098*v\/5 - 8626362796\/5 = 0.\nAnswer: -3197, 2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.3867 - 0.0133. Let h = i + 304.4. Let m = -259.887 + h. What is m rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76993112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/8 + 2)\/((-6)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 6855.\nAnswer: -6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756297, 755597, 754897?\nAnswer: 754197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -27233*u - 898912. What is m(-33)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-2) - 2)*4. Let f = -4 + p. Differentiate -4 + 0*j + 2*j + 3*j - f*j with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-90))\/(18*(-10)\/630)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2287?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -309, -1155, -2557, -4515?\n\"Answer: -278*u**2 - 12*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227178 divided by -1.\nAnswer: 227178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from {n: 3, w: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oie when three letters picked without replacement from hjojzzihhzhhijizhe?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-2 + -1 + sqrt(320) - sqrt(320)))*-1)**2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 - 3*c**3 - 178.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790898576.\nAnswer: 2, 3, 37310387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -3.3 (c) 98 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130990475?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69775, -69699, -69611, -69505, -69375, -69215, -69019, -68781?\nAnswer: -68495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 13. Let k(v) = -3*v - 22*v - 5 + 5. Let s be k(u). Solve 10*b - s = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.11491121 to three decimal places.\nAnswer: 27.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -713 by 2.\nAnswer: -713\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, 0, 375 in decreasing order.\nAnswer: 375, 23, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 10*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -107 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymxymmy. What is prob of picking 1 y, 1 m, and 1 x?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25*n**2 - n. Let v be f(1). Suppose -2*r + 7*r = -230. Let s = v - r. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1305.9 + -1306. Sort -0.3, -0.19, 2, 1, p in increasing order.\nAnswer: -0.3, -0.19, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871196 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -0*n. Solve -4*i - 5*b = 3, -5*i - n*b + 1 - 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*w + 110 = -185*w. Solve 3*a + a + w = 5*y, -4*y = -8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665235826?\nAnswer: 2, 2423, 343631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 55*q**2 + 1054*q - 7926. Calculate y(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 2*z**2 - z + 2. Let c be k(-2). Suppose 5*i + 185 = 5*a, -2*a = 3*a + c*i - 176. Let w = a - 22. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/1193 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1196649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1572, -12, -4 in descending order.\nAnswer: -4, -8, -12, -1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.795 + -16.395. What is the second biggest value in n, 12.5, -0.2, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1079042.\nAnswer: -1\/1079042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i + 12. Let w be (-3)\/(-2)*(-20)\/i. Suppose -5*q - p = -64, 0*q - 2*p + 68 = w*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((0 + sqrt(605) + 1)**2 - (sqrt(605)*2 + 2)) + 4)*-6*1.\nAnswer: -3650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14873, 59501, 133877, 238001, 371873, 535493, 728861?\nAnswer: 951977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 120 = 2*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (68 + (21 - 27) - 23)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2477, -1634, -797, 34?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -2. Let m = l + -5. What is the remainder when 16 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 11) to base 16\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 326, 332?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24179.9 + -24180. What is the nearest to 0.1 in -3, 0.2, l, 48?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhbrrbbgbubr. Give prob of picking 1 g, 1 m, and 1 h.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1744797233 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**5*t**3 assuming t is positive.\nAnswer: t**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 v when three letters picked without replacement from kxvvffkvkv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1907 - -3341. List the prime factors of a.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**3*o*u - 20*d*o - 38*d*u + 3*o*u - 14056*u wrt d.\nAnswer: -9*d**2*o*u - 20*o - 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -3*z. Suppose z*v - 26 = 14. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + (-7220)\/(-420))*21\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5422038030501 and -4.\nAnswer: 5422038030497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -89, -135, -181?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*g**2 - 68*g**2 - 77*g**2.\nAnswer: -634*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179977303 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-414)\/(-92)*((-70)\/(-6) + -1). Let r(x) = x**3 + 8*x**2 + 9*x + 10. Let w be r(-7). Let n = w + 10. Calculate the greatest common divisor of n and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66108111?\nAnswer: 3, 22036037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/5 + 12\/(-20). Let w(c) = 31*c**2 + 4*c - 10. Let n be w(b). Let o be n - (-6 + (-3)\/(-1)). Round o to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27648101 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 11*c - 8. Calculate the least common multiple of 2 and o(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**2\/2 - 8*j + 11. Let m be t(8). Let r(k) = -k - 1. Let i be r(-5). Solve -i + m = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 34 = -3*h - 2*p, 5*h = 3*p + 18. Suppose 95 - 28 = 3*u + 5*j, -50 = -5*u + 4*j. Let x = u - 10. Solve 2 = -x*v - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/36)\/(151\/(-3020)))\/(16\/(-6))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22306*k**4 + 2*k**3 - 24351*k**2?\nAnswer: 535344*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {k: 7, y: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*(0 - 4\/10). Let i be 2 + (-24)\/(w\/(-3)). What is the highest common factor of 56 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -2ba?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-7\/4))\/y)\/y)**(-2\/81))**(-49) assuming y is positive.\nAnswer: y**(-539\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267605 is divided by 24327.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101627 (base 8) to base 6\nAnswer: 415543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m. Let d(c) = -5*c**2 - 21*c. Let u(a) = -9*a**2 - 53*a. Let x(l) = 15*d(l) - 6*u(l). Calculate x(v(w)).\nAnswer: -84*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 3*m - 7\/2*m**2 + 2\/3*m**4 + 0 + 0*m**3. Differentiate v(x) with respect to x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -187, -192, -197, -202, -207?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -323, 304, 931, 1558?\nAnswer: 2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*v + 629*v - 16471 + 125359 = 0 for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35486*v**2 + 35486*v**2 - 3477*v**3 + (2 - 2 + v)*(-4*v**2 + v**2 + 4*v**2) + v**2 - v**2 + v**3 + (-v - v**3 + v)*(6 - 3 - 4).\nAnswer: -3474*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11540\/521843 + -3\/889. Find the common denominator of q and 49.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + a + 2*a)*(-2500 - 671 - 334) to b*a + p and give b.\nAnswer: -3505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.1. Suppose x = -1 - 4. Let z = 4 + x. Is k at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 7:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 30*f - 33. Calculate b(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 12*v**2 - 3*v + 54. What is the units digit of d(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 2 + 3) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 187, 275, 349, 397?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (750\/(-35))\/((-5688)\/(-33180))\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83393.72ml?\nAnswer: 83.39372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18478\/1655 >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27417 + 0.274200442. What is m rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 3*k**3 - 284308*k - 2*k**3 + 284303*k - 23.\nAnswer: k**3 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 69 = 15*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-244)\/(-2))\/(-2) + -2. Let g be 332\/7 - 36\/x. What is the greatest common factor of g and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47637 (base 8) to base 11\nAnswer: -14350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 374 - 130. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*(-10)\/(-4) - -1. Suppose 2*r - g = -4*r. Let m be r + -7 + 1109999\/(-1). Round m to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.363796914 to four dps.\nAnswer: -0.3638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2668 (c) 4 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*w - 9, 13 = -3*j - 992*w + 990*w. Let o(u) = -3*u**3 + 4*u**2 + 4*u - 2. Let f(m) = 4*m**3 - 4*m**2 - 4*m + 3. Give j*o(k) - 2*f(k).\nAnswer: k**3 - 4*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/(-60)*4\/6*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x**3 + 0*x + 0 - 2*x**2 - 1\/90*x**5 - 1\/120*x**6 + 0*x**4. Factor m(b).\nAnswer: -b**2*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2355 - 780 - t - 788 - 787.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrtrrqrrttt. Give prob of picking 2 q, 1 t, and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 14*q + 2. Let x be n(14). Let b(s) = 2*s**2 - s - 1. Is b(x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 7. Let u be m(-11). Suppose 3*j - 14 = 16. Let k = u + j. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 0. Let l = 15 - t. Let a = 7 - l. Is a greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.03 + -1. Let b = 6.43 - 6. Let f = b - d. What is the closest to 0 in f, -0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94887, 94885, 94883, 94881, 94879, 94877?\nAnswer: 94875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -46*j**2 - 627*j + 626. Determine y(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8641 + 11737. Calculate the greatest common divisor of o and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065465 (base 12) in base 11?\nAnswer: 1840965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxn when three letters picked without replacement from lsrlslwlnxxs.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 1931*y**2 - 6*y - 4*y + y.\nAnswer: 1931*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w = 2*c - 0*c + 145, -3*c - 237*w + 9 = -236*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j*m**3*r - j*m**3 + 11*j*m**2*r + j*m**2 - 160*m**4 - 3*m**2 wrt m.\nAnswer: -6*j*r - 6*j - 3840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 30494?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3073 (base 8) to base 14.\nAnswer: -81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 * 4\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 3*f + 5. Let y be p(-4). Solve 3*v + 25 = -5*w, -2*v + y = -5*w - 6*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 8:17 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*((-174)\/(-72))\/(-29)*(-2)\/(-42).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -21.2, 5, -2938 in ascending order.\nAnswer: -2938, -21.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 953110 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -20. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (114\/38 - (3 - (-1)\/3))\/(-1). What is the nearest to -1 in b, 0.1, 0.4, 256?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 3*x**2 + 3*x - 20. Let z(y) = y**3 + 2*y**2 + 2*y - 19. Give -2*h(t) + 3*z(t).\nAnswer: t**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423451377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o**2*w + 2*o*w**3 - 5*o*w + 206*w**3 wrt o?\nAnswer: -6*o*w + 2*w**3 - 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33817766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9332 + 9332 + 156*m**4 + m**4 + 3*m**4 - 3*m**4 + (-5 + 2 + 6)*(3*m**3 - 3*m**3 - 2*m**4).\nAnswer: 151*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45171 - 210171. What is o rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i = a - 87, 3*a = 9. Suppose 19 = s + 3*u, 2*s = -4*u + 55 - i. Let l = s - 3. Calculate the least common multiple of 6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 17 - 10) + (-5 - 2 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14)*116\/5800*70\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 14. Calculate the smallest common multiple of 27 and n(4).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113 and 0.1.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2173729493 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75484127 divided by 1?\nAnswer: 75484127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907253827.\nAnswer: 31, 271, 227027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 777568.1ml?\nAnswer: 777.5681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 50211779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + (-15)\/12*4. Suppose 0 + 15 = r. Let f(y) = -y**3 + 15*y**2 + 1. Let m be f(r). What is the highest common divisor of m and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 - (-54 + -9 + -7 + -3)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -3. Let z = 47681 - 47685. Which is the third smallest value? (a) s (b) 0.4 (c) 3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2745.80503 + -5\nAnswer: -2750.80503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111110100001111 (base 2) in base 16?\nAnswer: 1fd0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1285*s**4 - 3511*s**4 - 1146*s**4 - 11970 + 662 - 2864*s**4 wrt s?\nAnswer: -24944*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 + 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*h - 152 + 170 = -226 - 464 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -111\/2*c**2 + 0*c**3 + 219\/4*c**4 + 0*c + 100. What is the second derivative of m(g) wrt g?\nAnswer: 1314*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 divided by 59\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 - 4.4. Let w = 454 - 457.91. Let h = -0.09 + w. Which is the second smallest value? (a) d (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + y. Let n(x) = -x**3 - x + 1. Suppose -2*o = -5*s + 35, 3*o + 20 = 2*s + o. Let g = -2 + s. Suppose 3*j - g = -0. Calculate j*n(w) + t(w).\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6770 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -684 + 11634\/17. Suppose -37*h + 36*h = -5. Suppose 3*x = -a + 16, x + 20 = h*x. Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 13*g - 10*g = 21, 4*g + 20 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974233773?\nAnswer: 3, 17, 389, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21*-0.02\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 5\/4)\/(17 + -16). Which is the second biggest value? (a) -15 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1784*g - 9199*g + 1013*g - 5950*g to a + l*g and give l.\nAnswer: -12352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5 + 61*o**4 + 490*o**3 + 1144*o**2 - 32*o - 1664 = 0. Calculate o.\nAnswer: -52, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*y + 16, -4*y - 22 = 22*x - 17*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**5\/20 - 5*n**4\/12 + n**3\/6 + 2*n**2 - n. Suppose 3 = s - 1. Let m be 9\/(1 - s) + 7. Calculate a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2141, -4230, -6331, -8450, -10593?\n\"Answer: -f**3 - 2082*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.5? (a) 3 (b) -2\/11 (c) 1 (d) -4\/3 (e) -1\/66467\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116588139 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/2)\/((-4)\/6) - 10. Let c = w - -66. What is the remainder when c is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 349\/3. Do n and 3\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(sqrt(11)*1*-4)**2*-4.\nAnswer: 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -2, 18 in ascending order.\nAnswer: -2, -3\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o**2 - 14*o + 8. Let l(r) = 6*r**2 - 5*r + 3. Suppose 0 = 5*p - 29 + 9. Calculate p*x(j) - 11*l(j).\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825042 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 694052 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 36 = -3*g + o, 45 = 5*o. Solve -3*h + m + 0 = -g, -h - 2*m - 4 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840 divided by 89?\nAnswer: -3840\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f + 7. Suppose -4*h + f = -10. Let q be 20 - 14 - (-1 - h). Calculate the greatest common divisor of q and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -2\/21, -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 676 and 671 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/3682798 and 3\/9032.\nAnswer: 14731192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a**2 + 64*a - 4. What is z(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 - 61*p + 60. Calculate c(-17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r**2 + 10*r + 15. Let w(h) = 3*h**2 - 3*h - 5. Let t(m) = 2*f(m) + 7*w(m). What is the units digit of t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1071881m?\nAnswer: 10.71881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 - 38*h**2 - 22*h + 23. Determine a(-10).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/2 (b) 608 (c) -3 (d) 0.4 (e) -0.3 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*8\/(-48).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 b when three letters picked without replacement from {z: 3, h: 3, b: 2, u: 6, n: 5, p: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4622 - 13868\/3. Let r = 19 + -20.6. Let c = 2 + r. Put l, 1, c, -2\/5 in increasing order.\nAnswer: l, -2\/5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472340, 1889357, 4251044, 7557401?\nAnswer: 11808428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:50 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/5)*a*a*a**7)\/(a**(1\/3))**(-3\/8))**(7\/5) assuming a is positive.\nAnswer: a**(2331\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4926049 is divided by 776.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -8\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89188?\nAnswer: 2, 11, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 4*r**2 + r + 4. Let m be q(0). Solve -m*b = 0, 4*y - 5*b = -17 - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -4 + -1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 4244*a**3 + 12716*a**3 - 4235*a**3 + 5*a - 4200*a**3.\nAnswer: 37*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576730533 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4376293\/9 - -486257. Let w = -0.1 + -1.9. Which is the third smallest value? (a) 0.4 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose 2*k - 2*b = 18, k - 8*b = -q*b + 5. What is the remainder when (-6 - -5) + 1 + 29 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.056 - 0.256. Let k = 24 - r. Let v = -5.8 - k. Which is the biggest value? (a) 0 (b) -1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**3 + 7. Let h(g) = -4*g**3 - 4. Let p = -36 - -47. Calculate p*h(m) + 6*q(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/3451 and 10\/119.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3\/32 (c) -5 (d) 6 (e) 5 (f) 101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/6)\/(33\/(-132)))\/((-8)\/(-244))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:06 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 191, 396, 675, 1028?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 320*s + 11. Let p be k(15). Let g = p + -1452. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let k(t) = 0 - 5 - 2 + 2. Let o(f) = k(f) - 3*z(f). Let i(b) = -b**3 - 3*b**2 - 4*b - 2. Let n be i(-2). Calculate o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 61. Calculate the remainder when 3287 is divided by z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1336 and 1191211?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13402014 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -985*p**2 - 958*p**2 + 34*p + 1855*p**2 as b + h*p**2 + k*p and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1767 (base 8) to base 15\nAnswer: -47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 2, d: 4, s: 4}. Give prob of sequence zz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*40089026\nAnswer: 20044513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and (((-306)\/2025)\/17)\/((-15)\/84).\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 42*p + 887 - 3605 - 1922 = 0 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306.16 - 304.3. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*c + 20, -84 = 3*n - 5*c - 70. Let z(q) = -5*q - 39*q**3 + 3 - 7*q**2 + 10*q**2 + 38*q**3. What is z(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 678029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 46. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 4, z: 4, e: 1, g: 7}. Give prob of picking 1 e, 1 n, and 1 g.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 403541?\nAnswer: 403552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 55 = 3*r + 4*w, 0 = -5*r - 3*w + 97. Suppose -t = 4*t + r. Let b(a) = 8*a - a - 2*a + a**2. Calculate b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 2*m**2 - 11*m - 11. Let o(y) = y**2 - y - 1. Let i(k) = -5*o(k) + s(k). Determine i(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = -0*m - i, 4*m = 2*i + 10. Suppose 4*c - 4*j - 260 = 0, -142 = -m*c + 2*j + 183. What is the greatest common divisor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374593028 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3653579 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 132896346, 265792694, 398689042, 531585390, 664481738?\n\"Answer: 132896348*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7691616276 divided by -6.\nAnswer: -1281936046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 208231 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13159948 + -2?\nAnswer: -13159950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 384080.7mg in grams?\nAnswer: 384.0807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-8 + -5 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*u - 19. Suppose 0 = -3*z - u, 0 = 5*m + z + 25 + 40. What is the remainder when 23 is divided by 3 + 1 - (m - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038 times 34?\nAnswer: -1.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -10\/3, 1\/81 in ascending order.\nAnswer: -10\/3, -0.9, 1\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -50 - -2) + -12 + (5 - 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162193599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 565133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n\/n**(1\/4)*n))*n*n\/(n\/(n*n**(-2))))**26\/(((n*n*n**(-3\/5))\/n)\/n*n*((n**(-3)*n)\/n)\/n*n\/(n*n**(-2))*n*n**(-4)) assuming n is positive.\nAnswer: n**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4498*k + 28 = -4512*k. What is the second biggest value in 1, 42, -0.1, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/(-246))\/(1 - 2). Let w = x - 927\/287. Calculate the common denominator of (1 + -2)*(-106)\/6 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 925, 2, -2 in descending order.\nAnswer: 925, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5155 - 160?\nAnswer: -5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -891078 <= -891077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4453*y**3 - 5*y**2 - 5*y + 2928. Let h(b) = -2*b**3 - b**2 - b + 1. Let x(v) = -5*h(v) + q(v). Differentiate x(r) with respect to r.\nAnswer: -13329*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4 and -95\/2121376.\nAnswer: 2121376","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -4 (c) -1 (d) 0.5 (e) -420 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t + 9. Let g(f) = f**2 - f + 1. Let o(u) = -2*g(u) + v(u). Determine o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082268080.\nAnswer: 2, 5, 13528351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:43 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 21\/3312907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (288\/4)\/6*(-4)\/12. Suppose 5*z = -q + 23, 4*q + 3*z = 10 + 14. Put q, d, 0, 4 in descending order.\nAnswer: 4, q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -43*m**8\/112 + m**7\/70 - 7*m**4\/24 + 65*m**3\/3 - 3*m**2 + 2*m - 76. Find the second derivative of h(t) wrt t.\nAnswer: -2580*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 93 and 93 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21813167089\/1340 + 16278486. Let r = 97\/67 - n. Find the common denominator of -137\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1 - 1 + 4*x**2. Let c = 656 + -651. Let p(d) = -6426 + 6426 - c*d. Calculate p(l(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (72\/(-21))\/(-4)*7. Let u(h) = -4*h**2 - 14*h - 1. Let w(z) = -z**2. Let v(x) = -u(x) + 5*w(x). Calculate the remainder when v(b) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*n + 88*n + 698 - 3320 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 736384 + 133?\nAnswer: 736527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 72 = 5*p, -129*p + 133*p - 10*a = 90 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(76) + (sqrt(19) + sqrt(19) + sqrt(304) + 1)**2.\nAnswer: 14*sqrt(19) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -9.7 (b) -575 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 1649 + 1671 - 3368 = -4*d, -3*n = -3*d + 36 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89 and -114330519778.\nAnswer: -114330519689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 59. Let s be n(30). Suppose -2*o - 4*f = -7*o + 7, 0 = 4*o - f + 1. What is the closest to o in -1\/4, s, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -23949*s - 143914. What is a(-6)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.897 + 0.103. Let f = 0.43 - 0.03. What is the third biggest value in u, -0.4, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(95)*2)\/(-6*sqrt(15)\/sqrt(3))*-1.\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from lwffc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n = 27193 - 2749. Which is smaller: 384 or n?\nAnswer: 384","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + h. Let n(g) = 2*g**2 + g**2 + g - g**2. Let q = 13 + -10. Let z(u) = q*k(u) - 5*n(u). Factor z(j).\nAnswer: 2*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhgg when four letters picked without replacement from hhhghhgghhgg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 142 - 123 = -5*d, 4*q = -2*d - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 1175 - 3*v + 1771 - 3*v - 853.\nAnswer: -v - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -3223, -8192, -15407, -24868?\nAnswer: -36575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*-1)\/(sqrt(45)\/sqrt(144)) - (-2*sqrt(99)\/sqrt(3))\/(sqrt(54)\/sqrt(2)).\nAnswer: -118*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202900 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 54*r - 1722. Let z be y(39). Are 375 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -8\/5 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34*(3\/(-7) + 285\/(-266))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/6)\/((-226)\/(-339)). Put 0.319, t, -1 in ascending order.\nAnswer: -1, t, 0.319","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-14) - 4\/14. Let b(r) = -r + 5. Let v be b(-3). Suppose -v*s = -c*s. Solve s*a = a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 18*t**2 + t - 14. Let o be k(18). Let v be o\/6*((-405)\/2)\/15. Which is the smallest value? (a) -4 (b) -0.5 (c) v (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*5*34\/51. Solve -3*h - v = -8*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2106)\/182 - (-15 - -3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1331 in -2, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*l**2)*(-2 + l + 2) - 245*l**2 + 46*l**3 + 245*l**2 + (-3 + 2 + 2)*(-l**3 + 4*l**3 - 4*l**3) to b + t*l**3 + h*l + d*l**2 and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 12*v - 18. Let n be i(-14). Calculate the greatest common divisor of 90 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 24.39. Let z = -24.300111 + c. What is z rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6888)\/6027)\/(28\/1225)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -85, 26518?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30911\/16 + 1931. What is the common denominator of ((-15)\/(-10)*(-4)\/16)\/((-246)\/(-316)) and f?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580095203?\nAnswer: 3, 31, 239, 71089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 38. Find the second derivative of 30*x**5 - 32*x**5 - 3*x - b*x wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/4 - 1477*q\/4 + 2970 = 0.\nAnswer: -1485, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34203122 (base 5) in base 6?\nAnswer: -10301133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4894 + 117473\/24. Let z = i - -5\/8. Let g(h) = 3*h**3 - 5*h**2 - 7*h + 9. Let q be g(2). Which is the closest to -3? (a) q (b) 6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, -4, -53, -156, -331?\n\"Answer: -3*o**3 + 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 449 and -0.7.\nAnswer: 448.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1*2\/(-5)). Suppose w*m = m. Let v be (1 + -1)\/(11\/11). Solve -5*y + m*y + 5 = v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 13*r - 31. Let s be c(-5). Let q = 407\/3 - s. What is the common denominator of q and 127\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*y**2 - 4943 + 125*y**2 + 4943.\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8017753.\nAnswer: 19, 421987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180957 is divided by 1936?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-169*d - 51*d - 21*d)*(1 + 1 - 4)*(-2*d + 8*d - 9*d) to the form g*d**2 + t + v*d and give g.\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let n(k) be the second derivative of 61\/12*k**4 + 0*k**2 + 8 + 1\/3*k**3 + 14*k. Determine w(n(g)).\nAnswer: -61*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 0*b)*(0 + 3 - 1) + 9*b + 15*b + 21*b + (1 - 1 + 1)*(3*b + 0*b - 2*b).\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 135 = -2*y. Let d = -76 + 96. Let j = d - 5. What is the highest common divisor of y and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 264 = -17*m. Suppose 2*z - 7 = 1. Calculate the least common multiple of z and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.418292 centuries in millennia?\nAnswer: 0.7418292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -82 - 2*-1. Let c = s + 129. Let r = c + -18. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/7 and 89\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 195\/27 - (-4)\/(-18). Let y = 11 - h. Suppose -38 - 110 = -y*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = v - 6*v + 109, -g - 17 = -v. Let o be (8\/(-10))\/((-6)\/(-45)). What is the smallest common multiple of 4\/o + 76\/6 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -c. Is 10 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 229\/12*r**4 + 7\/10*r**5 + 0 + 0*r**2 + 225*r - 1\/10*r**6 + 0*r**3. Find the third derivative of q(m) wrt m.\nAnswer: -72*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/sqrt(2) + -2 + (sqrt(96)\/(sqrt(24)\/sqrt(8)))**2 - (sqrt(224) - 4*2*sqrt(224))\/(sqrt(196)\/sqrt(7) - sqrt(7)).\nAnswer: 30 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - a28?\nAnswer: -a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2064\/11180)\/(16\/104)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438 - 51878 = -1025*l - 9430 + 9215 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*y + 97*y + 184 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218 - 215. Suppose q*m + 16*m = -38. What is the nearest to m in -1, 2\/7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/60)\/(1\/(-6)). Let w(f) = f**3 - 66*f**2 + 134*f - 383. Let x be w(64). Suppose 0*k = 2*k - 4. Which is the closest to -0.1? (a) x (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/10 + 7*q**4\/4 + 17*q**3\/3 + 14*q**2 - 5680*q. Calculate h(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32722331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 = 7. What is the remainder when 4 - -5 - h*-1 is divided by 2\/5 - 23\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*(x\/x**(-11\/2))\/x))*x*x**5)\/(x**8*x**(4\/7)) assuming x is positive.\nAnswer: x**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 2, -17, -38?\n\"Answer: -z**2 - 14*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.0319343 + 177?\nAnswer: 687.0319343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36208 - -16933. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2348 - 779. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -777033 and -778452 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -763, -3097, -6993, -12451, -19471, -28053, -38197?\n\"Answer: -781*r**2 + 9*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13.69*-1.62\nAnswer: 22.1778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -17 - 7 + 5 + j + 34. Let d be k(-6). Suppose 13*g - 84 = d*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**7\/630 + z**6\/72 - 2*z**5\/45 + z**4\/18 + 44*z**2 + 4*z - 4. Let q(l) be the first derivative of a(l). Factor q(o).\nAnswer: -o*(o - 2)**2*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/10*20\/(-56). Let l be (0 - 0) + -2 + -3. Let b be 2\/3 - l\/(-3). What is the nearest to b in 1, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/3)*k))\/k)**(1\/14)*(k**(-1)*k)\/(k\/(k\/k**3)*k)*k\/k**3*k**(2\/11)*((k\/(k*k**(-1)))\/k)**(-12\/11) assuming k is positive.\nAnswer: k**(-1366\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*m*w + 21*d*m - 5*m*w**4 + 62*m*w**3 - 2*m - 19 wrt w?\nAnswer: -d*m - 20*m*w**3 + 186*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/75728818 and 51\/26.\nAnswer: 984474634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1165, -2327, -3489, -4651, -5813?\nAnswer: -6975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - 1)*25620\/5124.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-1)\/((sqrt(896) - sqrt(56))\/sqrt(7)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 25826?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 438 + -441. Let w = 0.3 + -0.1. Which is the closest to w? (a) -0.3 (b) p (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1030 and -5.\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = u - 0*c + 9, -4*c = -12. Let r(j) = 2*j**2 + 4*j**2 + 59*j - 57*j - j**u - 9. Let b be r(6). Solve -8*f = -b*f - 5*m - 10, f = -5*m - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let v(d) = -2*d**2 - 6. Let g be v(0). Let w be -3 + (2*-1)\/(g + 5). Let n(h) = -5. Give w*n(i) + 5*j(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 22, -60, -204, -410, -678, -1008?\n\"Answer: -31*r**2 + 73*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 = -3*s - 6, 5*s + 3*l - 37 = 0. Let n be 2 - (2 + -1 + 0). Let m(o) = o**2 - 2*o**2 + o + 4*o - n. Give m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301.73 + 1.27. Let f = -301.73 + x. Round f to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39535 is divided by 3594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0202 + -0.09382. Let d = -0.065 - l. Round d to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -3104598, 2, 0, -1 in ascending order.\nAnswer: -3104598, -1, 0, 2, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379149*i + 379279*i - 758430*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13965 divided by -12?\nAnswer: 4655\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/51030 and 86\/567.\nAnswer: 51030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -15 + -13 - -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -24 (b) -227483 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/66)\/(2\/6). Let m = 48\/107 + -203\/214. Which is the closest to w? (a) m (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70*5\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0137, -1\/797, -1 in descending order.\nAnswer: -1\/797, -0.0137, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 0.1, -1\/11, -263?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 260.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*r = -24, r - 3*r + 10 = -2*d. Let h be (35\/(-10))\/(2\/d). Is 15 a factor of (-2)\/h + 848\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -70*i**4\/3 - 49*i**3\/3 - 3604*i**2. Let z(q) = 17*q + 3. Calculate 6*d(w) + 196*z(w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.26 - -23.2. Let u = 0.14 - s. Let z = -3 - u. Which is the smallest value? (a) z (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -2*z - 4 - 13, -6273*m + 6268*m + 8 = -z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*a - 25 + 174, 229 = -3*t + 2*a. Let x = 76 + t. Is x at least as big as -2\/443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678906.\nAnswer: 2, 3, 37717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*q**3 - q**2 + 1492586*q - 281316505?\nAnswer: -75*q**2 - 2*q + 1492586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 2*t**2 + t + 32. Let j be n(0). Let x be (-6)\/(-4) + (-5345)\/10. Let l = x + 885. Calculate the greatest common factor of j and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**3 + 16*c - 18*c - 6*c**2 + 5*c**3 - 8*c**3 - 3 to the form t*c**3 + m*c**2 + j*c + q and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00631 rounded to 4 dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -344 - -743. Suppose -57 = -12*h + u. What is the highest common divisor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*sqrt(364)*3)\/(5*sqrt(21)\/sqrt(3))*-4)**2.\nAnswer: 67492\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 12*w - 5. Suppose 0*q + 15 = 3*q. Let z be s(q). Suppose 2*n - z = 14. What is the greatest common divisor of 198 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 800, -21, -3 in decreasing order.\nAnswer: 800, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607148*c - 7992 = 607256*c for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 4300232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -22, -699, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2*l - 3*k**2 + 13*k*l**4 - 8*k*l**2 + 2*k + 43 wrt l?\nAnswer: k**2 + 52*k*l**3 - 16*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21168 = 1316*r - 1694*r for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 313489419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005828 to the power of 1\/2, to the nearest integer?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*m - 69, -4*u + u + m = -247. Calculate the lowest common multiple of 6 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 18 = 3*j, 5*o + 4*j = 52. Solve 0*r = -3*r + 2*t + o, 4*r - 11 = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439431711 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2127 rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let c = 4 + -4. Let v = 10 - 8. Let q(o) = 0 + 0 + c - v*o. Give x(q(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 135668, 1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 43 + -36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 1659842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n*n**9))\/n*n*n\/(n\/(((n\/n**(-2\/3))\/n)\/n*n)*n)*n*n*n**(-8\/7)*n*n*n**(2\/5)\/n*(((n*n\/n**(-1\/5))\/n)\/n)**(-49)*(n*n**2)**(-3\/5) assuming n is positive.\nAnswer: n**(-1856\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 708 - -41.18649.\nAnswer: 749.18649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynd when four letters picked without replacement from hdnnndynyynnnnynhnh.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.766 rounded to one decimal place?\nAnswer: -54.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**3 + 280*m + 18*m - 298*m.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1168279125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/(5\/2 + (-9 - -9 - 2)). Solve -115 = d*y - 39 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 2637226095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -2\/7 (b) 3378 (c) -295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035454 is divided by 367?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 145*n + 83. Let h(t) = -97*t - 52. Calculate -8*h(d) - 5*x(d).\nAnswer: 51*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/60 + b**4\/24 - 2*b**3\/3 + 17*b**2. Let p be f(-3). Let a be (3 - 2)\/(-3 + p). Which is smaller: a or 2\/71?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 221?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = -2*r. Let a be r\/5 - 42\/(-60). Let s(d) = d**2 - 11*d + 20. Let o be s(9). Which is bigger: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 113070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:25 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**19\/z*z*((((z*z**(2\/9))\/z*z)\/z)\/z)\/z*(z\/((z\/z**(-5\/2))\/z))**(1\/7))**(1\/39) assuming z is positive.\nAnswer: z**(2143\/4914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-6*8\/16)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 + 0*a**4 + 3*a - 2*a**2 + 2*a**4 + 1 + 2*a**3 + 3*a**4 as d*a + o*a**4 + s*a**3 + k*a**2 + h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*n**5 - 1041191*n**3 - n**2 + 7636*n - 191 wrt n?\nAnswer: 9600*n**2 - 6247146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 4. What is the units digit of (-6)\/(t\/3*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(320))\/sqrt(8) + 3*sqrt(200)\/sqrt(5))\/((sqrt(72) - (sqrt(72) + (sqrt(72) - ((sqrt(72) - sqrt(72)*2) + sqrt(72))))*-6)\/sqrt(9)).\nAnswer: 24*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -81740000 to the nearest 1000000.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n + 3. Suppose -3*r - 42 = 3*r. Let z be l(r). What are the prime factors of 2\/3*(z + 19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 56 and 57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3))\/p)\/p**(2\/3)*p**(-36)*(p**(-2\/9)*(p*p**(-2\/23)\/p)\/p)\/((p*p*p**0)\/p**2) assuming p is positive.\nAnswer: p**(-8482\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.033 - 0.021. Let t = 0.046 - x. Suppose 0 = 4*s - d - 2*d - 8, 3*s + 2*d = -11. Put 3, 4, t, s in ascending order.\nAnswer: s, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1020244?\nAnswer: 1020247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(sqrt(45) + 5 + (sqrt(45) - (sqrt(45) - sqrt(315)\/sqrt(7))) + sqrt(45)) + (-4 + sqrt(45)*2 - sqrt(45)*2*-3) + -2)**2.\nAnswer: 4056*sqrt(5) + 31096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22112 - -1142430?\nAnswer: 1120314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2464*s - 1610 = -2394*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -69. Let f(n) = 48*n + 5. Let p(x) = 95*x + 9. Let q(b) = y*f(b) + 6*p(b). Let z(d) = d**2. Calculate q(z(l)).\nAnswer: 42*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2256*r**2 - 2252*r**2 + 2072 - 2072.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -19. Let f = -6 + x. Solve -s + 0 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2900 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4155*k - 1988*k - 1107782 + 1107782 as r + x*k and give x.\nAnswer: -6143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 110*b - 7739. Determine a(-49).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -37, -106, -231, -430, -721, -1122, -1651?\n\"Answer: -3*h**3 - h**2 - 7*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 5*w**2 - 4*w. Let j(p) = 5*p**3 - 25*p**2 + 20*p + 1. Let v(b) = 11*i(b) + 2*j(b). Calculate v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1955.0294?\nAnswer: -391.00588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*n - 2 + 7, 2*y = 0. Let j be n - (5 - 54\/15). Which is the second smallest value? (a) 1\/5 (b) j (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-5)*2\/(-14). Let q = -19 + 18.74. Let g = 0.36 + q. Which is the closest to g? (a) -5 (b) 5\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*n = -0*n - 122, -2*c = 2*n - 60. Let s be 2\/2*(-2 + -2). Let g be s\/c + 123\/39. Solve -k + 0*k + 2*b = -13, 4*k - g*b - 27 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*n - 54 = 0, 0 = -5*k + 4*n + n + 330. Suppose -4*h = -0*h. Suppose h = -d - d + k. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, r: 9}. What is prob of picking 3 r and 1 x?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 9, -6, -42 in ascending order.\nAnswer: -88, -42, -6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 + 111.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -45798100 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -11001100?\nAnswer: -10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*i - 17*i + 25*i)*(4*i + 2*i - 3*i) - 3 - i - 1 - i**2 + 6 to k*i + g + o*i**2 and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2. Let g(p) be the second derivative of -1 + 35*p - 71\/3*p**3 + 0*p**2. What is o(g(w))?\nAnswer: 60492*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 12*s**2 - 16*s + 58. What is q(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 1, n: 1, b: 1, t: 2}. What is prob of picking 2 t and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/139 (b) -5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 5*n + 7. Let o be v(-5). Suppose o*i - 11 = 6*i. What is the greatest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 27*a - 316. Let s be g(12). Solve 34 = -7*r - s for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -5.6. Sort -6, 1, c in ascending order.\nAnswer: -6, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(176) - sqrt(176)*3))\/sqrt(4) + (sqrt(99)\/(sqrt(9)*4) + sqrt(11) - (sqrt(22)\/sqrt(2)*-5)**2).\nAnswer: -275 - 91*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from ktmuakkkmk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = -3. Let z be (-74)\/(-26) + (p\/52)\/(-1). Let i(l) = -l - 1. Let n be i(4). Put n, z, -4 in descending order.\nAnswer: z, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 48*z = -2*z - 1035. Put -0.2, z, -1\/3, 0.3 in increasing order.\nAnswer: -1\/3, -0.2, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1646354 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/74313215 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53913398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 1\/(4\/57912) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 909818 and 157612.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -324, -374, -464, -594, -764, -974?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 336 = 56. Let v = -26 - s. Suppose 0*j + 4*j + 3*i = 223, -3*i = 9. Calculate the remainder when j is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Suppose r - 2*w = 12, 5*r + q*w - 3 = 5. Solve -m = -2*m - r*d + 9, 4*m = d + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2820 = 13*s - 11*s. Let p = s + 3743. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (4 - (-11 + 65 + (5 - (7 + 3)))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360758154?\nAnswer: 2, 3, 60126359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyr when three letters picked without replacement from yyrpy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 75*p**2 - 46*p + 51. What is k(-37)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2761 and 25351?\nAnswer: 278861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20560875, -82243536, -185047971, -328974180, -514022163?\nAnswer: -740191920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -1\/4, -3\/13, -0.3, -2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7113 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-23)*s*s*s**3)\/(s**(-18)*s\/(s\/s**(2\/101))) assuming s is positive.\nAnswer: s**(99\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1\/1*1. Suppose 0 = r*j + 4 - 24. Let n = j + 5. Solve -n = 4*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 125 = 0. Let y = r - -38. Let i = 28 - y. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64100 to the nearest one thousand.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4 = 0, 4*v - 2*v + 5*v - 82*h + 128 = -0*v + 5*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 - -140. What is the highest common factor of 48 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4255 and 1110?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 w when three letters picked without replacement from {f: 2, v: 4, c: 1, w: 4}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 times 419545?\nAnswer: -3775.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/6519 and -70\/201.\nAnswer: 436773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -7, -4, 0.798, -0.5, 19 in descending order.\nAnswer: 19, 5, 0.798, -0.5, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1255 = 4*z + 5*j, -2*z + j = -511. Suppose 5*m + z = 7*m. List the prime factors of m.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343438 divided by -6\nAnswer: -171719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, e: 1, x: 4, f: 1, t: 6, n: 2}. What is prob of picking 2 x and 1 s?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -520.2 + 521.2. Sort 0.1, -0.1, -0.183, s, 1\/7 in increasing order.\nAnswer: -0.183, -0.1, 0.1, 1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-n + 2*n + n)*(-n + 4*n - 4*n - 4*n - 2*n + 5*n + (-4 + 3 - 1)*(n + n + 0*n) + 4*n - 2*n - 3*n - 49*n + 24*n + 49*n).\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -38. Let t = m - -12. Suppose 0 = -3*f + 3*l + 6, -t*f + 4*l + 1 + 0 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(1\/6)*p**(2\/33)\/p*p**(-1\/6)\/(((p**(-14)\/p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4 - (3 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m - 5*g = -13, -13 = 5*m - g. Is 4 a factor of -16*-2*m\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1 - (1 - 4). Let c be (a\/2)\/((-2)\/(-4)). Solve 2*j = 5*k + 6*j - 9, -c*j - 3 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-11)\/(-7)) + 2\/(-21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*m = -m + 517, 2*m = -8. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -28 + 36 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -583*t + 266. Let m be k(-28). Suppose g - m = -20*g. What are the prime factors of g?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17478015 take away -5.166?\nAnswer: -17478009.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440.1 - -44257623?\nAnswer: 44259063.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/7351 + 889441\/220530. Let u = -377728\/33 + 11448. What is the common denominator of t and u?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007393719 rounded to seven decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2 - 1\/2. Suppose -3 = 11*d - 12*d. Suppose 5*v = 5*x + 30, 0 = -4*v - d*x + x. Solve -l*i - v = -2*q + 4, -5*i - 3*q = 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.085 - 5. Let q = n + 0. Let h = 0.08500078 - q. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199 (base 15) to base 7\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1333*z**3 + 95*z**3 + 3 + 1237*z**3 - 3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -126*(-78)\/2548 - 876\/(-742)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:42 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 6*i + 4*i + (1201*i + 277*i - 631*i)*(-1 + 4 + 2) + 0*i + 0*i + i to l + p*i and give p.\nAnswer: 4234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (748 + 16)*5\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5309400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1150*g**3*m**3*x**2 + 3*g**3*m**2*x + 3*g**3*x**2 - g**2*m**3*x - g**2*m*x + 87*g*m**2*x wrt x?\nAnswer: 2300*g**3*m**3 + 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2716647285 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9 = -9*o. Let l(x) be the first derivative of -x**3\/3 - 5*x**2\/2 + 10*x + 11. Let z be l(-7). Put z, 3, o, 2 in decreasing order.\nAnswer: 3, 2, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.03 (c) 8\/3 (d) -3 (e) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**34*m)\/(m*m**22) assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/36726365?\nAnswer: -4\/36726365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -16, -28, -44, -64, -88, -116?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 + 3*d**2 + 18*d**2 + 49*d + 6*d - d**2 wrt d?\nAnswer: 12*d + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 68314*j - 7104662. Calculate y(104).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*v - 80 = 905*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Is -67.08 less than or equal to -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -445 - -251. Let l = m + 331. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4686 - -986.93?\nAnswer: -3699.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46653 is divided by 86.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 865698.1mm?\nAnswer: 865698100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/(-2415))\/(24\/(-1792))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1154 + -1150. Let x(z) = -2*z**3 + 6*z**2 - 5*z. Let a(o) = o**2 - o. Give h*a(t) - x(t).\nAnswer: 2*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3680.59 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8910.165368 to the nearest 100.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:27 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5154 and 10\/7731.\nAnswer: 15462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 - -0.01. Let f be 3\/(5 + -2) + -6. What is the nearest to a in -2\/3, -4, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -20*v - 105 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3986942 divided by -2.\nAnswer: 1993471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 5.1. What is the third biggest value in 0, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 4*f + 232, -3*f = 6. Suppose -7*t - 3 = -24. Calculate the least common multiple of t and (-11)\/(-55) + v\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-6)\/(-6) + 4. Suppose -a = -2*c - 5, 0 = t*a - 0*a - 2*c - 14. Solve -z - 3 = -a*x, 6*z = 3*z + x - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179676419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.473 times 2?\nAnswer: -74.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32814.545 rounded to the nearest ten?\nAnswer: 32810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4259471.47 and -1.47853?\nAnswer: 4259472.94853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2. Let f(y) = -1. Let o(i) = -f(i) + h(i). Let c(t) = -t**2 + 2. What is c(p) + 3*o(p)?\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*b - 517 = 0, 4*f + 5*b + 305 = f. Let i = f - -198. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11*(-99)\/((-81)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 37 - 7 = 0. Suppose 0*l - 2*k + 6 = -3*l, 8 = -4*l - 4*k. Let v be r + (l - 5) + 3. Solve 2*x - 4 = -2*m, -20 = -v*m + 2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(72)*-4 + sqrt(8) - (-2*sqrt(200) + sqrt(200)))\/(((2*sqrt(88) - sqrt(88))\/sqrt(11))\/(sqrt(50) + sqrt(50)*-2)) + -5.\nAnswer: -5 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 42*f - 40*f - 6*f**2 - 1 + (-4*f + 4*f - 2*f)*(6*f - 2*f - f).\nAnswer: -12*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233556, -467130, -700702, -934272, -1167840?\nAnswer: -1401406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by (-31 - -31) + (-23)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose -10 = 3*b - 25. What is the first derivative of -2*y - p + b + y wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uizxxrnxzzxu. Give prob of picking 1 r, 1 x, and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 14) to base 9\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.059 - 0.059. Suppose -2*v + 42 - 14 = 0. Let u = v - 71\/5. Sort u, y, -1\/4, -4.\nAnswer: -4, -1\/4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j**2 + 204*j + 3. Let x be f(17). Solve 1 = -3*u + i, -5*u - x*i + 4*i = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 12*h**2 - 12*h + 12. Let r be f(11). Solve k - 7 + r = -2*a, k = 4*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114262 is divided by 56982?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 s when four letters picked without replacement from sstkskk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814474?\nAnswer: 2, 283, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273782742 to the power of 1\/2, to the nearest integer?\nAnswer: 72621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 709826.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36162306 and 164880.\nAnswer: 1446492240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(35)*-6)\/(sqrt(5)*2*-5 - sqrt(5)) - (sqrt(567)\/sqrt(36))\/(3*sqrt(9)*-1).\nAnswer: 83*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-24)*121\/(39204\/(-5040)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.5 - -60.5. Which is the third smallest value? (a) y (b) 6\/5 (c) -2\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21276 (b) 7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 = -2*z - 27, 3*j + 2*z - 14 = 0. Let i be 59\/5 - (12\/(-15))\/j. Calculate the greatest common divisor of 66 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a**5 - 1\/4*a**6 - 25\/24*a**4 + 0 + 0*a**3 + 0*a + 32*a**2. What is the second derivative of o(i) wrt i?\nAnswer: -180*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 401, 380, 513, 938, 1793, 3216, 5345, 8318?\n\"Answer: 23*n**3 - 61*n**2 + n + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -411*h**3 - 2*h**2 + 17*h - 16. Let f be w(5). Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2905*c**3 - 1453*c**3 - 1451*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 16, e: 4}. What is prob of sequence eeee?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74 - 100*f**2 - 88 + 348*f - 71 + 8 - 27 + 4*f**3.\nAnswer: 4*(f - 21)*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14122.99991349 - -14123. What is v rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1383424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3108, -3147, -3186, -3225, -3264, -3303?\n\"Answer: -39*b - 3069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*m - 21*m - 1146 = 48*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9635 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 - -377. Solve 9*b - w = -48 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**6*c\/(((c\/(c\/(c*c\/(c\/c**(-1\/6)))))\/c)\/c))**(-9\/10) assuming c is positive.\nAnswer: c**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22*p + 19*p - 1218 = 0, -4782 = -4*x - 3*p. What is the greatest common factor of 250 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 times -0.6980601\nAnswer: -62.1273489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -256884045166\/2413 - -106458371. Let l = -13\/127 + b. Find the common denominator of -79\/10 and l.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/136750042 and -19\/22.\nAnswer: 136750042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.035798 + 27.\nAnswer: 27.035798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -14, -39, -90, -173, -294?\n\"Answer: -d**3 - 4*d**2 + 14*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(155*p - 61*p + 76*p + p - p + 2*p + (5*p + 4*p - 3*p)*(-7 + 3 + 3) + 5*p + 0*p - 4*p) - 2*p + 0*p + 0*p + (-1 - 1 + 3)*(-p - 3*p + 3*p).\nAnswer: 164*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvk. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(20\/9)*s*s**(-3\/13)*s*s*s\/s**3*s*s*s*s\/(s\/(((s**(-11)*s)\/s)\/s)))**47 assuming s is positive.\nAnswer: s**(-27542\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15.7. What is the closest to 1 in -5, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.051 (b) -1 (c) -0.225 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 252285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 6\/(-1) + 3. Suppose -z*b + 4*n + 126 + 110 = 0, 2*n - 206 = -3*b. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15820 * 0.2\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**4 - 1315625*f**3 - 35*f**2 + 9209405*f - 7893750 = 0.\nAnswer: -3, 1, 2, 263125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/640*40*(-4)\/22.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 3*l + 51 = 0, -2*s + 4*l + 36 = 0. Let d be (62\/(-4))\/(1\/(-2)). Suppose 3*h + d = 127. What is the greatest common factor of s and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/11)\/(g**(1\/2)\/g))\/(g*g*g**(-2\/7))**(1\/8) assuming g is positive.\nAnswer: g**(-6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9493 - 721. Does 60 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0587 - -119674.\nAnswer: 119673.9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 10)*(-4)\/(-36)*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5534, -11023, -16512?\n\"Answer: -5489*n - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 52 = 5*o + 47, 5*o - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12864 - -3?\nAnswer: 12867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*d = 5*d - 75, -2*t + 50 = 3*d. Solve t = z + 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 193874598.\nAnswer: -193874600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 3 (c) 0.5 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4 + 37*q**3 - 48*q**2 - 388*q - 304 = 0.\nAnswer: -38, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -416 - -372.8. Let w = y - -44. Let c = 0.9 - w. Sort -0.4, 2\/5, c in increasing order.\nAnswer: -0.4, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from {n: 1, t: 8, u: 1, o: 1, q: 9}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15194 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -856, -1008, -1510, -2536, -4260, -6856, -10498?\nAnswer: -15360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 3. Suppose g - 3 - 3 = 0. Let h = -10 + g. What is the units digit of q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Suppose 0 = b*l + l. Solve 0 = 2*v - 3*t - l*t + 8, 4*v = -2*t + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3080 and 80?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - q**3 - 2*q**2 + 2*q**2 - q**3 - q**3 + 4*q**3 - 4*q**3 + (-q**2 - 4*q**2 + 3*q**2)*(4 - 4 - 2*q) + q**3 - 3*q**3 + 4*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 5. Let r(x) = -5*x + 4. Let h(s) = 6*r(s) + 7*t(s). Differentiate h(w) with respect to w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:07 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/9 + (-7)\/(-3). Solve 2*x - 23 = 5*v, -4*x + 18 = -d*v - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4443 - -9406. Calculate the least common multiple of z and 5672.\nAnswer: 39704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, v: 2}. Give prob of picking 2 a and 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251361 to the power of 1\/2, to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 2 + -1*1. Suppose f + 3 = -s + 4*f, 0 = 5*s - 4*f - 7. Let m(b) = 2*b**s + 1 - 3*b**3 + 0 - 2*b - 2*b**2. Give m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 + u - 7. Determine r(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e8 - -1a6b?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 11 + 2. What is the biggest value in -2, f, -7, -2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, 13132, 0.026.\nAnswer: 0.026, 287, 13132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 11. Let o be d(-9). Suppose -q = o*y, 0 = -3*q + 6*y - y. Let f(u) = 10 + 8 + 8 - 3 + u. Give f(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149\/6 - 647\/24. Suppose u = 2*u - 15. What is the common denominator of (u\/(-180))\/((-2)\/(-206)) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -792*j**6*m + 10182*j**6 + 2*j**2*m + 4*j**2 + 2*j*m - 34*j - 13*m + 36 wrt j?\nAnswer: -95040*j**3*m + 1221840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.104562 from -7.69.\nAnswer: -10.794562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - w)*(-3 - w + 3) + (-2*w**2 + w - w)*(-2 + 2 + 1) - w**2 + 2*w**2 + 0*w**2 + (w - 4*w + 2*w)*(-2 + 2 + 2*w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/27 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30802 by 104.\nAnswer: -15401\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdbbd. Give prob of sequence bb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*b - 21, -2 = -i + 3*i + 3*b. Let r be i + 1 + (1 - 2). Suppose 3*y - n - 6 = 0, -2*n = -0*y - r*y + 10. Solve -y*x = 2*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1479*u - 4434. Let w be a(-3). Solve -4*n = 4, 0 = -w*l + 5*n - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 5. Suppose -3*h = 4*o + 1001 + 113, -y*h - 5*o = 1860. What is the tens digit of 4\/18 + h\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + 4 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 2*q**3 + 0*q**3 - 2*q**3 + q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/27 - 235\/297. Is 4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) -5 (b) -1\/2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = -5. Let g(y) = x*y - 14 - 10*y + 2*y. Let a(q) = -8*q - 5. Let k(b) = -7*b - 6. Let d(s) = -3*a(s) + 4*k(s). What is -8*d(z) + 5*g(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/(-18))\/((-1)\/3). What is the common denominator of 962\/120 - 0 - 4\/g and 13\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 10*f - 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(1\/46). Let f = y - 18. Solve 4*k = -f - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-64)\/20)*(8 + -7). What is the nearest to -2\/235 in u, 2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/97 or 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4494\/214 + (39796 - 1).\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 48095?\nAnswer: 48095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -705 - -1047. Let i = -341.98286807 + 0.03576807. Let v = s + i. What is v rounded to three decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 8*k**2 - k + 11. Let l(f) = f + 4. Let t be l(4). Let m be g(t). Suppose 0 = 2*n - 3 - m. What is the remainder when 10 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2115*d**2 + 105745*d + 247. Give h(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114)\/sqrt(2) + sqrt(57)))\/(1*sqrt(432) + sqrt(432)).\nAnswer: 5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 - 3)*(-2*b + b + 0*b)*(-2 - 3 + 2).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**2 + 2775*y + 7510. Calculate c(311).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*y - 87*d + 82*d, 4*d = -4*y + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.31 + 83.69. Let m = q + -84. Sort -0.06, m, -4, 1\/7 in descending order.\nAnswer: m, 1\/7, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46 and -107\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 519 + -391. Let i(g) = g + 9. Let n be i(7). What is the highest common factor of n and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 k when three letters picked without replacement from qkcqkqeq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-27682 - 1) - (-45 - -19 - -26)?\nAnswer: 3, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2072d - 5d?\nAnswer: 206c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-2\/7))\/d)**(3\/19)\/((d\/(d**4\/d))\/d**(2\/7)))\/(d*d**(-2\/31)\/d*d\/(d**(-1\/17)*d))**46 assuming d is positive.\nAnswer: d**(186467\/70091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3743 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 19*w**3 - 9 - w**3 + 8*w**2 + 1 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -66, -105, -160?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s - 1. Let j be z(1). Suppose 2*m - j = -31. Let d be 26\/m + 2\/(-5). Does 0 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 58?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386.743 days in nanoseconds?\nAnswer: 379014595200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**3 + 2*t**2 - 2*t + 1. Calculate k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 1\/6*l**6 + 5\/6*l**3 - 2 - 1\/4*l**5 - 2*l + 0*l**2 - 5\/12*l**4. Factor f(v).\nAnswer: 5*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1226, -3244, -5262, -7280?\n\"Answer: -2018*o + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4304 + -1331431?\nAnswer: -1340135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7424529449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 20*j + 4*j**3 + 20*j in the form u*j**2 + m*j**3 + d + y*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.63 minus 214.2764?\nAnswer: -211.6464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101110001111 (base 2) in base 13?\nAnswer: 2aa01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2018.99 * 0.01\nAnswer: -20.1899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 58, -588, -7 in decreasing order.\nAnswer: 58, 2\/9, -7, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**29)\/o**25 assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (0 - (1 + 10 - -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + y - y - 3 + 3 + (-2*y + 1 - 1)*(3 - 1 - 4) + 4*y - 3*y + 0*y - 3*y + y + y - 3 - 2*y + 3 + (53 - 3 + 7)*(2*y - 14*y + 9*y).\nAnswer: -169*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/9)*s*s)**(3\/26)\/((s\/s**(1\/24)*s)\/(s\/s**(-23))) assuming s is positive.\nAnswer: s**(2311\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 - 8932*l\/3 - 1831376\/9.\nAnswer: 2*(l - 13466)*(l + 68)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, b: 1, t: 2, a: 1}. Give prob of sequence tab.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400766*n = 400768*n - 2*t - 12, -5*t = n - 24 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(1\/2). Let g be (2 - a)\/(7 - 6). Let k(y) = -11*y**3 + 2*y - 1. What is k(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 126*w - 481. Give g(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-13) + 5 + 175\/(-28). Let o = -0.2 - -0.2. Which is the second smallest value? (a) 1 (b) o (c) u (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3661, 5, -4, 1 in descending order.\nAnswer: 5, 1, -4, -3661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -35 + 44 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from upppppuu?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1237*c**2 - 1229*c**2 + 2419*c**2 + 3*c in the form g + q*c + i*c**2 and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 o when four letters picked without replacement from oiqioiiio.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -79.3 from 13879.\nAnswer: 13958.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-4 - (-22 + 26). Calculate the remainder when 1413\/45 + b\/(-20) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 + (-46)\/(-80).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/7*s + 3\/7*s**3 + 0*s**2 + 6\/7 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/21)\/2*(7826\/(-52))\/(-43)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 9*p**2 + 11*p + 11. Let d be a(10). Suppose -b = x, 2*x - 2 + 12 = 3*b. Solve -4*s - d = 5*m, -b*m = 3*m - 3*s - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/2670 and -97\/356.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7300 and 121718375?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 12. Differentiate -2 - 3*f**4 - 4 + q wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*22\/3. Suppose -82 + 940 = n*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120102 (base 3) to base 5.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 27207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*z + 2*z - 8157, 5*v + z = 10160. Let i = -1074 + v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 243 + 81*k**3 + 244 - 486 + (1 - 1 - 2*k)*(-2 + 2 - 2*k**2).\nAnswer: 85*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-105)\/10) - (-4989)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2\/6 - 573563*q\/2 - 860344\/3 = 0.\nAnswer: -1720688, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146711783?\nAnswer: 29, 89, 56843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 7, t: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -24*h**3 + 25*h**2 + 173*h - 24. What is the hundreds digit of i(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65041, 64598, 64157, 63718, 63281, 62846?\nAnswer: 62413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 7. Let s = -98 + 87. Let o be d(s). Let z(v) = 6*v**3 + 3*v**2 + 5. Let b(k) = 2*k**3 + k**2 + 2. Calculate o*z(c) - 11*b(c).\nAnswer: 2*c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjv when three letters picked without replacement from vzjvvzzzjv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6868 - 1?\nAnswer: 6867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 911 and 80?\nAnswer: 72880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8058 + -7710. What is the lowest common multiple of d and 464?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13736*g**3 - 292*g + 60*g**5 - 264*g - 174*g - 170*g - 1680*g**2 - 1808*g**4 = 0. What is g?\nAnswer: -1\/5, 0, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 336 - 217. What is the greatest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-580)\/(-50) + -12 - 28\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*g = -616, p - 5*g = -10*g - 107. Let k be (3\/1 - 0)*-57. Let m = p - k. Round m to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 71, 0.08, -5\/6, 1, -2\/5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -53.23. Let m = 0.67 - w. Let y = 1.01 - m. Round y to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -1, -66 in ascending order.\nAnswer: -66, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**7\/231 - 2*k**6\/33 - 13*k**5\/110 + 10*k**4\/11 - 12*k**3\/11 - 557*k. What is z in w(z) = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/(h**(-1\/2)\/h)*h**(-3\/11)\/((h\/(h\/((h\/(h\/((h**3*h)\/h)))\/h)))\/h))**45)**(-1\/15) assuming h is positive.\nAnswer: h**(249\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 123 - 12 = 5*l, 4*z + 27 = -l. Let s = -6 + 37. Let u = s + l. What is the biggest value in u, 2\/15, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.13, 47.1, -1\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 12:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8891 at most as big as -400064\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) -5 (b) -1 (c) -30\/53 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1076973764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 5*v - 66. Let p be x(-28). Let n = 2331 - p. List the prime factors of n.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 7*p**2 + 2*p - 12. Let t = 92 - 85. What is v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -95. Let i = 0.05 - 0.35. Which is the closest to -2\/3? (a) i (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108965 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*f + 35*f - 68*f**3 + 42*f**3 + 40*f - 2*f**2 - 52*f**3 to o*f**2 + r + a*f + h*f**3 and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, y: 6, s: 2}. Give prob of sequence gs.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-12)*(-31480)\/30693.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 1341790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - (2 + 3 - 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f + 3. Suppose -f*c - 1 = -10. Let d = c + -2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 0, -5*h - o + 10 = 4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:52 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -44*n + 1. Determine t(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 4.5. Suppose z = -h - 3, -4*h + 5*z = 31 - 10. Which is the nearest to -1? (a) h (b) 4\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6*q - 1 = q, q = -5*i + 9. Let p be -1 + -1 + 1 - -3. Suppose 0 + 62 = p*c + i*a, 3*a - 25 = -c. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/93685925?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030911 - 0.09712?\nAnswer: -1030911.09712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*m - 10, u = -2*u - 3*m. Let c = u - -14. Suppose 0 = -4*x + 3*f + c + 196, 0 = 2*f + 2. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877.543 rounded to the nearest ten?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20615 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 162 = 19*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1437067236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -183 and -1.096.\nAnswer: -184.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223128 or 223127?\nAnswer: 223128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -198a (base 15) to base 6\nAnswer: -41334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 0*m = -105. Let a = m - -21. What is the remainder when 46 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -77. Let s = 67 + -36. Calculate the remainder when s is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1699 - 1751 = -8*l. Let f(y) = 10*y**3 - 4*y + 2. Let h(d) = -d. Determine l*h(b) - f(b).\nAnswer: -10*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 8*o**2 - 7*o - 6. Suppose -25 = -5*r + 4*b, 17*r = 19*r + 2*b - 28. Calculate the remainder when t(6) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3\/(-6)*4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-3 + 41)*(-2)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 4\/(12\/9). Let b = a + -2. Suppose h - 3*w = w - 2, -2*h + b*w = -21. Solve y - 3 = r, r - 3*y - y = -h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56410000 to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b + 6. Let c be n(0). Let j be (-2 + 2\/4)*c. What is the units digit of 4\/(-18) - 38\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 212670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 1:15 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/420 and 11\/30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 - 22*t + 39. What is the remainder when 861 is divided by m(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a**3*g - 10*a**3*p**2 + 3*a**2*g**3*p - a**2*g**3 + a*g*p - 6*g**3 wrt p?\nAnswer: -20*a**3*p + 3*a**2*g**3 + a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1270 - 76 = -2*i. Let h = i - 359. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 456*d**4 + d**2 + 36?\nAnswer: 10944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 12*n**2 + 30*n - 18. Let u be h(14). Suppose -4 = 8*w - u*w. Sort -2, 5, w, -4 in descending order.\nAnswer: 5, w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 2, 4383, -2, 48, 4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a factor of 1211688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:56 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1098bc91 - 14?\nAnswer: 1098bc7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**3 - y - 9\/5*y**5 - 5 + 8\/3*y**4 + 0*y**2. What is the third derivative of p(h) wrt h?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -235*y - 3967. What is the tens digit of x(-78)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1706568 and 6119?\nAnswer: 49490472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 42 = 5*u, -3*u + 59 = -d + 44 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6 + 3*t - 2*t + 0 + 4. Let w(n) = -n - 10. Let u(l) = 5*s(l) + 6*w(l). Determine u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - i + 4 = 0, -2*f + 0*f + i - 4 = 0. What is the nearest to f in -1\/2, 4, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 19*p**3 - 2*p**2 + 2*p - 1. Let t be i(1). Suppose -4*a + 3*c = 29, 15 = 5*a - 4*c + 52. Put a, t, 1 in ascending order.\nAnswer: a, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h - 346. Let y be t(-25). Solve -a + 10 = 2*l, -2*l - y + 34 = 6*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 + 0 = 0. Let l be -1 + 1*(r + 2). Find the second derivative of 3*u + 2*u**2 + u**l - 5*u**2 wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, l: 4, w: 2, z: 4, f: 2}. Give prob of picking 1 f and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(1216) + -1 + 4 + -5 + 3.\nAnswer: -16*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/9)\/y*y**(-5)*(((y**(-2\/71)\/y)\/y)\/y*y)\/(y**(-10)*y) assuming y is positive.\nAnswer: y**(550\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3002 - 3002. Let x = 0 - -4. What is the biggest value in x, 0.2, -4, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202 + -1070?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/4 + 22. Factor 0*y + 0 - 1\/4*y**4 + d*y**3 + 0*y**2.\nAnswer: -y**3*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.018 + -4.418. Let b = g - -2.5. Let m = b - -1.8914. Round m to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1845 and 153?\nAnswer: 31365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/((-30)\/(-4) - 2). Which is the third biggest value? (a) -3 (b) j (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000001692 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdrsa. Give prob of sequence ad.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 divided by -477?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1532824300 to the nearest one million.\nAnswer: 1533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b - 0*b + 59*b + 1050 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - 3. Let w = j + -9. Let m be (-3)\/(w\/4) + -3. What is the nearest to m in 1, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*c - 4 = 0, -200004*c - 16 = -8*n - 200005*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9393)\/(-3069) + 8\/(-132). Let r(x) = 3*x**2 + 8*x - 2. Calculate r(h).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 4, 3, -2 in ascending order.\nAnswer: -2, -1\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-40))\/(4\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p = -8. Solve -a = p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -966*j + 8581. Calculate n(9).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 9*c + 14 = 6*c, -3*h + 5*c = -14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 11*i. Let n(f) = -f**2 + 10*f. Let a(o) = 4*h(o) + 5*n(o). Give a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6*2 - (-2)\/6. Let m(u) = -u**2 + 10*u + 7. Give m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from jljjljjjjjjljl?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2\/(-4)*(-1 + -17)*(-315)\/378?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 - z**5 + 9*z**5 + 0*z**5 + 2*z**5 + (-3*z**3 - z**4 + 3*z**3)*(-1 + 1 + z) + 0*z**5 + 3*z**5 - 5*z**5 + 4*z - 4*z - z**5.\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687177 = 2*t + 332823. Round t to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7104 + 0.5.\nAnswer: -7103.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d. Let u(a) = -a**2 - a. Let h(k) = 2*k**2 + 4*k. Suppose -p = 4*p - 5. Let j(f) = p*h(f) + 4*u(f). Calculate w(j(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*(g**(-5)*g)\/g))\/g**(-3\/10))**(-21\/2))**(-43) assuming g is positive.\nAnswer: g**(47859\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 1. Let l(a) = -41*a - 9. Let y(s) = 6*h(s) + l(s). What is the remainder when y(-1) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.7929 micrograms in tonnes?\nAnswer: 0.0000000004087929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2300826 is divided by 766894.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*k**5 - 2*k**4 - 57*k**3 - 18*k**2 + 115.\nAnswer: -1560*k**2 - 48*k - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 14. Let p = 7.1 - -52.2. Let d = p + -59. What is the second biggest value in v, -1\/5, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-224))\/((-6)\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 924043?\nAnswer: 4620215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/5 + 20437431*a**2\/5 + 20437432*a\/5 = 0.\nAnswer: -1, 0, 20437432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 14, 39, 76?\n\"Answer: 6*f**2 - 5*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-245))\/((69\/9)\/((-7)\/(-3)))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500998 to the power of 1\/2, to the nearest integer?\nAnswer: 3391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -0.7, -33\/2, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-2\/9)\/g)\/g*g)\/g)**(-46))**(-3\/7)*(g\/(g*(g\/(g*g**2))\/g))**(-39)\/(g**(-2\/29)*g**(-3\/7)) assuming g is positive.\nAnswer: g**(-12232\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37262070 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-28))\/((u*u**(2\/39)*u)\/u) assuming u is positive.\nAnswer: u**(1090\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/7*v**4 + 0 - 2\/7*v**3 + 0*v - 3\/7*v**2 = 0. What is v?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + g + 1. Let r(d) = -139*d**2 + 5*d + 8. What is -5*a(h) + r(h)?\nAnswer: -119*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/6, 26, 1\/250, 0.2, -0.5, 1\/12, 19?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/28 or -3?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -57.7124?\nAnswer: -28.8562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -494 - -3?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/442*52666\/3098.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {r: 2, a: 10, f: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1148, 3466, 7352, 12806, 19828, 28418?\nAnswer: 38576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -3. Let q(j) = -18*j - 98. Let g be q(-6). Suppose 168 = -m*s + g*s. What is the remainder when s is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171425376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*4\/(-3). Suppose 5*a - 3*m - 1051 = 0, 5*m + 37 - 445 = -v*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121102510 divided by -12110251.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7714328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*s + 0 + 2 = 0, 0 = 4*s. Let v be (-7)\/(-2) + q\/(-4). Suppose v*y - 3 = 9. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3189679654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, m: 1, h: 2, s: 3}. Give prob of sequence hl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/9 + 9438*h**3 + 1614460*h**2\/9 + 755400*h - 8498000\/9 = 0. Calculate h.\nAnswer: -10, 1, 42490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 + 21\/(-18)). Let v be 1 + (n - 8\/4). Let x(u) be the first derivative of u**3\/3 - 2*u**2 - 2*u + 1. What is x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/(-10))\/(2\/4). Let c(i) = i + 7. Let z be c(v). What is the second derivative of z*k**2 + k**2 - 6*k + 0*k**2 + 4*k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 1199, 2417, 4047, 6089, 8543, 11409?\nAnswer: 14687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3257 - -5034. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57986933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 6*r + 7. Let f be t(7). Let n be (5 + 1)*(-7)\/f. What is the biggest value in n, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 12:35 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177*a**5 + 3*a - 1 wrt a?\nAnswer: 3540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49103*k**3*r**3 - 2874*k**2*r**3 + 2*k**2*r**2 - 1 wrt k?\nAnswer: 294618*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -260809\/26 at most -10031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-6)*l)*l)\/l**(-9)*l**(-10)*l**(2\/43) assuming l is positive.\nAnswer: l**(-342\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 203122103?\nAnswer: -203122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24672, 24679, 24698, 24735, 24796, 24887?\nAnswer: 25014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*j**3 + 259*j**2 + 134790.\nAnswer: -390*j**2 + 518*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -45. Suppose 3*p - 3 = -3*l, -p + 4*l + f + 9 = 0. Solve p = k + k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -56, -92, -132, -170, -200?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(567))*3 - 3*sqrt(567)*1) + 1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3379716?\nAnswer: 2, 3, 269, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d2537 (base 14) in base 8?\nAnswer: 20225145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 437465 (base 8) to base 6\nAnswer: 3053421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 + 60102*d**2 - 7123365*d + 210447336 = 0. What is d?\nAnswer: -20152, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/76 and -13\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 1. Let d(m) = -3*m**3 + 12*m + 1. Give d(c) + 2*w(c).\nAnswer: -3*c**3 - 2*c**2 + 12*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109136857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 6*u + k - 20, 41 = -5*u + 3*k + 18*k - 79 + 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7422.95581 - -7423. Let w = -0.044 + i. What is w rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - k = -1335, -2*b = 52*k - 51*k + 663. Let y = b - -335. Calculate the least common multiple of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61\/54 - -1\/27. Which is the closest to -6? (a) x (b) -0.4 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 + 244. Suppose 44 = 2*v + w. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Suppose v = -v + 5*n - 20, 20 = x*n. Suppose g = -v*g. Solve 3*f + 6 + 3 = g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c. Suppose -2*i + 3 + 9 = c. Let y(x) be the second derivative of x**5\/20 - x**4\/2 - x**3\/2 + 5*x**2\/2 + 9*x. What is y(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529179.\nAnswer: 3, 7, 113, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkk when three letters picked without replacement from rkttrtrktt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = 135*b + 4073 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-172)\/16) + 6\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - (-14 + 3 + 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 1 - (111 + 201 + -211)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -379.3483\nAnswer: -11001.1007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**5\/2 - 4687*h**4\/2 + 13320*h**3 - 12554*h**2 - 15672*h + 12544 = 0.\nAnswer: -1568, -1, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 5*u**2 - 2*u**2 + (2*u - 4 + 4)*(0*u + u - 2*u))*(2*u - 5*u - 9*u)*(2*u**2 - 3*u**2 + 0*u**2).\nAnswer: -48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15304 times -2177\nAnswer: -33316808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171410 is divided by 534?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, n: 3, s: 1, g: 2, b: 5}. What is prob of sequence nn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56025.88 litres to millilitres.\nAnswer: 56025880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*g - 36 = 8, 2*i = 3*g + 7. Suppose -32*f + i*f + 120 = 0. Solve -f*z - 15 + 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.6 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:56 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 3*s**2 - 58*s + 3. Let h(v) = -15*v**3 - 7*v**2 - 116*v + 7. What is -3*h(g) + 7*i(g)?\nAnswer: 3*g**3 - 58*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32667 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8808 is divided by 75.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*y**3 - 334*y**3 + 165*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 153.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2740665, -5481315, -8221965, -10962615, -13703265?\nAnswer: -16443915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**3 + 4*d**2 - 8*d. Let l be (-37)\/(-6) + (-18)\/108. Let m(q) = -q**3 - q**2. What is l*m(x) + i(x)?\nAnswer: x**3 - 2*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/3 + 10240*b**2\/3 + 40912*b\/3 + 13632.\nAnswer: 4*(b + 2)**2*(b + 2556)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 2*t**2 + t + 4. Let s(n) = -4*n**3 - 4*n**2 + 2*n + 7. Determine 7*g(v) - 4*s(v).\nAnswer: 2*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*q - 6369 = 5083 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58149 + -379.\nAnswer: 57770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/(-6) - 20\/30. Let t be (-1155)\/6*(-16)\/5. What is the units digit of (m\/(-12))\/(t\/204 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + 28*t + 130 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 150*t + 147*t = -26, -3*w + 24 = -t for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 5670?\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(4 - (-14)\/(-3)). Let l(z) = 5*z**2 + 2*z**2 + 7*z**w - 17*z**2. Let o(f) = 0*f + f - 4*f. What is o(l(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.094752 + -3997.205248. What is q rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 6, -3 = h - 5*d. Let t be (147\/6)\/h + (-1)\/2. What is the third derivative of 4035*n + n**t - 4035*n - 4*n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 78423216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/2)\/(34\/3*8544\/24208)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/14 and 0.1513 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 394 = 296. Suppose 29 - a = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 18*f - 3*u = 111, -22 = 3*f - 2*u + 15 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + -10 + 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 944 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o. Let c(a) = 11*a. Let z(j) = -60*j. Let h(u) = -28*c(u) - 5*z(u). Let q(p) = 9*h(p) - 2*y(p). Let v(b) = 5*b. Calculate v(q(i)).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)*(-1 - -3). Let m(g) = -2*g + 4. Let f be m(0). Suppose -8 = -z*w + f. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 11*t**2 + 32*t - 16. Let r be c(11). Let v(m) = 166 - 3*m**2 + 4*m**2 - r + 172 - 2*m**2 - 9*m. Give v(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*j - 18, j + 0*j - 5*h + 9 = 0. Let f(w) = -w**2 - 14*w + 6. Does 17 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**4 - 3*b**4 + 5*b**4 + (266*b - 2423*b**3 - 266*b)*(2 - 2 + 3*b) as x*b**3 + g + z*b**2 + q*b + c*b**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 657 + -663. Let l be (14\/(-21))\/(t\/((-54)\/57)). Which is the fourth smallest value? (a) -4 (b) -1\/3 (c) l (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = v. Suppose 3*y = 8*y - v. Suppose -j - 1 = -y*r + 15, 2*r - 4*j - 10 = 0. What is the highest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + x**2 - 3*x**2 + (2 - 2 + 3*x)*(0*x - 5*x + 3*x))*(15*x**3 + 2*x**3 - 4*x**3).\nAnswer: -65*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.4 (b) -17\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212253 and 273333?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*d*l**2 + 2*d*l - 180*d - 2*l with respect to l.\nAnswer: 26*d*l + 2*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 168, -4 in descending order.\nAnswer: 168, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 566 + -338 + -178 - (8\/1)\/1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-3)\/18 + (-125)\/(-150). Put g, 3, -5, 62 in ascending order.\nAnswer: -5, g, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.5 + -7. Let n = -145\/132 + -5\/33. What is the second biggest value in n, 0.5, f, -2.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from eeseeseeoeeoseoo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 7. Let w = 11 + -7. Suppose -w*c - 5*h - 5 = -26, -4*c - 3*h + 19 = 0. What is the lowest common multiple of b and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*m + 21, -5*f + 0*m + 93 = 20*m - 33*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*q)*(3 - 5 + 6)*(1 + 0 - 3)*(2 - 3 + 2).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -617*b**2 + 19 - b + 622*b**2 - 10*b. Let f(p) = -14*p**2 + 35*p - 56. Let g(u) = -2*f(u) - 7*r(u). Differentiate g(a) wrt a.\nAnswer: -14*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 7*i**2 + 5*i + 3. Give f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*q**3 + 1 - 78*q**2 + 182*q**2 - 97*q**2 as i*q**3 + w*q + l + y*q**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 108 + 1 + x)*(-12*x + x + 7*x + 1) + 4*x - 4*x - 2*x**2.\nAnswer: -6*x**2 + 361*x - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-74517676617\nAnswer: -74517676616.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1761074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 3*x + 4. Let l be o(-3). Let q(j) = j**2 - 2*j - 5. Let t be q(l). Suppose 5*w = -t*c + 53, 5 = 3*w - 7. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-28)\/14)*(-2)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -1220?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 651 by -217.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -1\/5*w**5 - 3\/5*w**3 + 4\/5*w**2 - 4\/5*w**4 + 4\/5*w + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 12) in base 2?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 3*j - 60 = -9*h, 0 = 4*h - j - 80. What is the highest common divisor of 390 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 512, 1018, 1522, 2024, 2524, 3022?\n\"Answer: -z**2 + 509*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vawl when four letters picked without replacement from {w: 3, a: 2, v: 2, l: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 597345431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let i(u) = 2 + 0 - u + 0*u. Let y be i(2). Which is greater: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11810 (base 9) in base 16?\nAnswer: -1f0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 574048359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1475109*z**5 - 1465944*z - 1.\nAnswer: 29502180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203414004 + -2?\nAnswer: 203414002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2362, 4729, 7094, 9457?\nAnswer: 11818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-6)\/8)\/((-1)\/2)*1)\/2. Let b = -0.8 - -0.3. What is the closest to 2\/7 in b, 0.5, 15, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 330 = 353 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1)))\/(p\/(p**(-10)\/p*p)))**(-22) assuming p is positive.\nAnswer: p**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.82 (b) 0.01 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i. Let v be m(-3). Suppose f = -20 - v. Let c be ((-3)\/4)\/(2\/f). Calculate the highest common factor of c and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/15)\/(2\/18). Let g(z) = -10*z**2 - z + 1. Let l(t) = 11*t**2. Let p(i) = v*g(i) - 5*l(i). Let m(n) = n**2 + n - 1. Calculate 4*m(x) - p(x).\nAnswer: -x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -402234 + 733699. Let m = 231465 - l. Round m to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*d + 5*d - 14, 0 = -5*b - 5*d - 100 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, m: 1, b: 1, y: 1, i: 2}. What is prob of sequence tmy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/u**(-1\/10))\/(u\/((u*u**(-2)*u)\/u*u*u*u*u*u))**(28\/3) assuming u is positive.\nAnswer: u**(201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*d + 316, 3*g + 40 + 23 = d. Is 74 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + -79. Suppose u = 53*q - 48*q. Solve s + 9 = q*l, 0*l = l + 4*s - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-1)\/sqrt(4))\/((sqrt(36) - (sqrt(36) + sqrt(216)\/sqrt(6)))\/sqrt(6))*-6*1.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 2 i when four letters picked without replacement from iimxmb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5427.8, 5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15 + (-84 - (12 + -87))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = 2. Let t(h) = -3 + 3*h + 0*h + h**2 + 0*h**2. Let x be t(-3). Is x at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -2507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/1557)\/(((-7)\/(-10080)*-40)\/(2\/(-24)))?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Solve -3*t = 5*a - m*a - 5, 5 = t + a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((1 + -3 - -2) + (97 - 109))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:49 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -513.98?\nAnswer: -30.8388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 0*g - g)*(-9 + 4 - 5)*(3 - 5 + 4) as q*g + b and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 924 and 8484.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 474, 3 in descending order.\nAnswer: 474, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 114. Let t = -31 - -49. What is the remainder when z is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/51*3\/(-16). What is the fourth smallest value in 1, -3\/2, u, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((27\/2304)\/((-3)\/(-12))). What is the hundreds digit of (485 - -4)\/((-48)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from poopropodzzookzzzkoo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*k + 5 - k**4)*(4 - 2 - 3).\nAnswer: k**4 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8*y. Suppose 3*d + 2*d + 380 = y. What is the common denominator of d\/(-384) - (-2)\/6 and -15\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 20 + -60 + (-7 - -21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684)*2 + 4 + 2*sqrt(684)*-1 + -3 + (sqrt(684) - (sqrt(684) + -1 + 1)))**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4 = 4*i, -4*i - h = -i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -2\/17, 3, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 21*v + 16. Let o be s(-11). Let f(a) = -25*a - 4. Let i(r) = -13*r - 2. Calculate o*i(g) - 3*f(g).\nAnswer: 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + p = -8, -5*i - 30 = -8*i + 5*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 387 divided by -24\nAnswer: -129\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, a: 3, y: 1, w: 1, s: 1}. Give prob of picking 2 x and 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o - f, 0 = -o - 4*o + 5*f. Which is smaller: 10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -11. What is the smallest value in 2\/13, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27412 + -27407. Calculate the greatest common factor of q and 8065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1742948 or -1742947?\nAnswer: -1742948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/(39\/(-130)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3541953 is divided by 694?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76866 divided by 2475.\nAnswer: 25622\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6. Let a be (-70)\/(-21) - 4*q. What is the nearest to -3 in a, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-5))\/((-4)\/10). Let i = -0.25 - -4.25. Let p = 3.9 - 4. Which is the closest to p? (a) u (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 23, 56, 109, 188?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q - 8*q + q. Let y(a) = -3*a. What is y(d(o))?\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118193 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -532 - -549. Suppose 77*r = w*r + 3900. What is the remainder when r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*l + 3*i, 2*i - 20 = 4*l + 6*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -627579774*r**5 - 394227727*r**2 wrt r.\nAnswer: -37654786440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 - 46*v - 4*v**2 + 171 - 35 as g*v + b*v**2 + z and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40929707*n**4 + n**2 + n + 2695262?\nAnswer: 982312968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -180*j - 9381. Is n(-157) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 0*c**2 - 1 - 5 - c**2 + 5*c. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-140)*(-5)\/4. Let t be 0\/(1*(4 + -2)). Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 8*s. Factor s + 5*l**2 - 6*l**2 - 1 + 2*l**2.\nAnswer: (l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = j + 7, j - b = 4 - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111220122 (base 3) in base 16?\nAnswer: c164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6755 - -6754.98. What is the second biggest value in 8\/7, -4, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (0 + 3\/9)*-9. Suppose -2*n - 3*t = -m*t - 26, 2*t - 37 = -5*n. Let v(w) = 231*w + 22. Is v(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 11*a + 4. Let l = -178 + 175. What is the tens digit of j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1791*y + 888*y - 4*y**2 + 877*y - 10*y**2 to the form r + d*y + n*y**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 21, -11.\nAnswer: -42, -11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitpiip. Give prob of sequence tp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.6 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**2 - 862*i - 4. Let p(d) = -16*d**2 + 1725*d + 9. What is -4*p(m) - 9*t(m)?\nAnswer: m**2 + 858*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 62 = -3*z, -3*n - 3*z + 199 + 5 = 0. Suppose 77*s - 18 = n*s. Let h = 0.3 + 0.2. Which is the closest to 2\/5? (a) -2\/11 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(3))\/sqrt(3) - (sqrt(13) - sqrt(1300)*1).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.747 + 3.502. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - g + 3*g)*(-9*g**2 + 6*g**2 + 2*g**2)*((0 + g + 0)*(-1 + 2 + 1) - 4 + g + 4 - g + 3*g + 0*g + g + 0*g - 3*g).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (1 - -1)) + (-63 - -59)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2 - j**2 + 4*j**2 - j**2 - 1 + 13*j. Suppose -4*h = -f + 13, 6*f - 4*f - 1 = 3*h. What is the units digit of d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6*d**2 - 188*d**3 + 98*d**3 + 92*d**3 to the form o*d**2 + a*d**3 + f*d + l and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 4. Let p(f) = -f + 3. Suppose 40 = -2*g - 2*g. Let t = g + 13. What is t*p(q) + 2*o(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (-745 + 780 + (2 - 59))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 684 = -0*g. Suppose g = -3*a + 6*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (158 - 158 - w**2 - 2*w)*(3*w**2 + w**2 - 2*w**2) in the form l*w**4 + i*w**2 + x*w + p + y*w**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.5 + 23.50005515. What is h rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 10*m**2 + 16*m + 21. List the prime factors of v(-10).\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/408*-2)\/3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 + 2.4. Which is the second smallest value? (a) -4 (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11596*f. Let l(q) = 9438*q. Give l(d(c)).\nAnswer: 109443048*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19 + -17 - (1 - 4). Let y(f) = 0*f**2 - 5 - j*f - 2 - f**2. Give y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(4 + -2) + (-348)\/52\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 19*i**2 - 36*i - 15. What is b(14)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - ((-166 - -177) + (-1 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 0*d**3 + d**3 + (4*d**2 + 0*d**2 - d**2)*(-d - 2*d + 2*d) + 3*d**3 + 26*d**3 - 5*d**3 - 11*d**3 + 11*d**3 - 34*d**3)*(5*d + 0*d - 3*d).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*a**2 - 2*a + 406*a**2 + 2*a - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 2 (c) -28 (d) 2\/9 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -354606*w - 1. Let k be z(-1). Let f be -94 + -152522 - (1 + -12). Let i = k + f. What is i rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(1008) - sqrt(63))**2 + sqrt(7) - (sqrt(7) - (sqrt(14)\/sqrt(2) + -5)).\nAnswer: 2*sqrt(7) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8, -v + 2*v + 2 = a. Suppose -a*i + 48 = 3*x, 4*x + 76 = 2*i + 2*i. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(2\/41))**34*t*t\/t**(-19)*t\/t**4)**(-37) assuming t is positive.\nAnswer: t**(-132978\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*f = 15, 0*v - 11 = -v - 5*f. Calculate the remainder when (-114)\/399 - (324\/(-7) + -1) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1758540 - -2401460. Round q to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -39, -97, -181, -291, -427, -589?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4*v - 89994*k**2 - v + 780 wrt k?\nAnswer: 4*k**3*v - 179988*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 + 1941 + -1 + 13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by 42075?\nAnswer: -109\/42075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s**3 - s)*(-2 - 6 + s**2 + 170*s - 171*s) + (-s**3 + 0*s**3 + 3*s**3)*(3*s**2 + 2*s**2 - 2*s**2) + 0*s**3 - 3*s**5 + 0*s**3.\nAnswer: 5*s**5 - 2*s**4 - 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2 - 2*x**2 + x**3 + x**2 - 1. Suppose -r = r. What is u(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x**2 - 11*x + 110. Calculate the least common multiple of r(7) and 2320.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -24?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - a - 1. Let u(i) = i**3 + 10*i**2 + 7*i + 14. Give 6*c(o) + u(o).\nAnswer: o**3 - 2*o**2 + o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -45*r + 24. What is m(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2506, -10159, -22930, -40819, -63826, -91951, -125194?\n\"Answer: -2559*t**2 + 24*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*d = -8, 3*p - 3 = -d + 4. Let z = 4 + -2. What is the greatest common divisor of z and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-429) - 4\/104*4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:47 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08760262624 + 0.5.\nAnswer: 0.58760262624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6130*p + i - 223 = -6127*p, 2*i = 2*p + 150 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 2*w + 1\/12*w**4 + 0 + 0*w**2 - 1\/6*w**3. Factor x(m).\nAnswer: m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b - 2527 + 1899 + 2038 + 1002 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/34061 at least 1507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71496941\/545 - -131187. Find the common denominator of 44\/15 and p.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z + 741*z + 436*z - 30375 = 0 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56706984?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12467753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 11 + (-9 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -20, -12, -4, 4, 12?\n\"Answer: 8*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-6)\/(15\/(-4)*-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119236 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4320 = 23*y - 37141. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -26. Suppose -q = 4, -3*m = -3*q - 11 - 4. Which is the nearest to w? (a) 5\/2 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 times 0.125?\nAnswer: 274.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:26 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15107266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 86, 1.4, 34, 1\/3, 4 in ascending order.\nAnswer: 0.1, 1\/3, 1.4, 4, 34, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7963, 31741, 71361, 126823, 198127?\n\"Answer: 7921*u**2 + 15*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 7*v - 3*v)*(-6*v + v - v) - 27*v**2 - 2*v**2 - 4*v**2 - 11*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.6277813 to two decimal places.\nAnswer: 23.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:58 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 15*t - 33*t + 72*t to s*t**2 + a*t + u and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 3) to base 4.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1871, -3792, -5775, -7844, -10023?\n\"Answer: -4*q**3 - 7*q**2 - 1872*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 9*p**2 + 11*p - 3. Let l(m) = -m**2 - 7*m + 55. Let f be l(-12). Let z be h(f). Calculate the greatest common divisor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 289*r**6\/60 + 7*r**5\/15 + 70*r**2. What is the third derivative of w(t) wrt t?\nAnswer: 3468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*r - 3 + 8, -r + 13 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152891 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -37*q**3 + 1102*q**2 + 247*q - 206. Determine k(30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*m**3 - 80*m**3 + 2*m - 5484215 - m**2 + 206*m**3 + 5484218 as k*m + f*m**2 + x*m**3 + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-5*m**2 - 5*m**3 + 7*m**3 + 0*m**2).\nAnswer: 4*m**3 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*i - 2439, -2012 = 5*q - i - 14185. What are the prime factors of q?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(80\/(-84)) - -4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let h be 1\/l + (-1289)\/(-5140). Let y = h - 39839\/5140. Find the common denominator of -1\/4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*10\/(-10)*(-6)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/25542 and 25\/76626.\nAnswer: 76626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*p = -5900 - 180 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.0474 milligrams to grams.\nAnswer: 0.2980474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159556\/4746)\/(-706)*14\/(-12).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:10 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*f**3*o + 221*f**2 - 2*f + 7669306*o + 1 wrt f.\nAnswer: 96*f**2*o + 442*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 82*n - 104*n + 2*n to g + c*n and give c.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 62*q - 651. Calculate m(-48).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-5))\/(20\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530140696.\nAnswer: 2, 97, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352519 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrmmrjmhmmmjmhmmmm. Give prob of picking 2 m and 1 j.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 200320949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -208304\/6927 not equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-13 - (-18 + 6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hunhhuh. What is prob of sequence uhh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76393498 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -113*g**8\/56 + 27*g**4\/4 + g**3\/6 + g**2 + 77. What is the second derivative of t(s) wrt s?\nAnswer: -13560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z - 2*z**2 - 2*z**2 + 4*z**2 + z**2 in the form r*z**2 + q + a*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:31 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328 divided by 41.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -15 + 13 + -31 + 50\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 5\/168*c**8 + 27*c**2 + 0*c + 0 + 0*c**7 + 19\/60*c**5 + 0*c**3 + 0*c**6 + 0*c**4. Find the third derivative of r(v) wrt v.\nAnswer: 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40349772 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -3, -40, -115, -240, -427, -688?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015 = -5*p + 5*q, p - 175 = -5*q + 10. Suppose 12*v - p = 4*v. Calculate the remainder when 248 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2885*v + 2889*v - 25520 = 0. Does 44 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1197*v - 3718 with respect to v.\nAnswer: 1197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2 + 2 + -2. Suppose a - 4*y + 6 = j*a, -3*a = -5*y + 13. Suppose -2*n = -0*n - 4. Is n at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 less than 4273102578?\nAnswer: 4273102496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184236 and 306?\nAnswer: 9396036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 - 594. Let i = -378 - t. What is the second biggest value in i, 3\/8, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10\/11))\/g**(-1\/4) assuming g is positive.\nAnswer: g**(15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14278\/3 or -4759?\nAnswer: -4759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2)**(-9))**(-2\/35) assuming b is positive.\nAnswer: b**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 174*s. Let t(z) = 2*z**2 - 10*z + 5. Let p(l) = -2*l**2 + 12*l - 6. Let h(d) = 5*p(d) + 6*t(d). Calculate h(m(o)).\nAnswer: 60552*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 1. Let s(l) = 11*l - 227. Calculate 5*d(t) - s(t).\nAnswer: -t + 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/7 - 2*m - 2\/7*m**2 = 0. What is m?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10835?\nAnswer: 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (-4 + 2 + sqrt(99))**2 + (sqrt(99)*2*2)**2).\nAnswer: -24*sqrt(11) + 3378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1853 - 7*l**4 + 15*l**2 + 924 + l**3 + 2*l**3 + 926 as n*l**4 + v + j*l**3 + w*l**2 + f*l and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0*-378119\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 + -0.53. Let h = 2 - 1.8. Let m = h - 0.7. What is the third biggest value in g, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 - 4*j + 2. Suppose -3*s = 35 - 47. What is the remainder when s is divided by u(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 30*o**2 + 4*o + 1. Calculate the remainder when z(15) is divided by (-57 + 15)*(-1)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)*(1 - 4\/2). Let q be 7919988\/(-16) - (j - (-3)\/(-12)). Round q to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 577341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (89\/(-60) - (-5)\/20) + 0 and -139\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*z**3 - 4*z**2 + 1155 wrt z?\nAnswer: 306*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -990*r**3 - 1212*r wrt r.\nAnswer: -5940*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**3 - 17*i. Let s(g) be the second derivative of -g**5\/5 - g**3 + g - 166. Give 17*s(u) - 6*v(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2155*r - 26873 = -2320 + 5594 + 15108 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 710119 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 134*m = 133*m + 23, 0 = -4*t - 5*m - 11. What is the biggest value in t, 4, 12, -0.4, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21744, 35, 0.552 in descending order.\nAnswer: 35, 0.552, -21744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 38*q**3 - 2*q**2 + q + 1. What is n(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/20 + c**4\/6 - c**3\/2 + c**2 - 15*c. What is g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 32*y**2 + 3 - 7*y**4 + 29*y**2 wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -43, -64, -85?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*-1*38019\/(-1102)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*d - 9. Let a = 3 - -2. Solve 2*t = -3*t - a*o + 15, d*o - 30 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1944702?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**4 + 50174626*c**3 - 205471*c**2 - c - 47?\nAnswer: -72*c + 301047756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 169*d**2 - d. Let b be (12\/(-7))\/((-3)\/21). Suppose -3*a + b = -0*a. Let u be l(a). What is u rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, -2, 2\/1325, -1, 3852?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (80\/(-32))\/((-20)\/8 - -2). Solve 8 = 2*v - g*s, -4*v + 16 = s + 2*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**1)\/c)**44*c**2\/(c**(-6)\/c*c) assuming c is positive.\nAnswer: c**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74627 (base 11) to base 9.\nAnswer: -174828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274914?\nAnswer: 2, 1137457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -80?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 1}. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 85.0408. Round t to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 109. Suppose -5*g + 3*a = -147, -z = -g + 5*a - 11. Let c = g - 13. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b - 12a?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3*z**2\/2 + 6*z - 1. Differentiate h(g) with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30484589+-1.37\nAnswer: 30484587.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, 110, 531, 3, 1\/6, 4 in descending order.\nAnswer: 531, 110, 5, 4, 3, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 998 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1303 + 2953. Calculate the common denominator of (2\/30)\/(60\/s) and 101\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2686296 and -58\/95.\nAnswer: 13431480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 809139?\nAnswer: 80913.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:25 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -9, -0.1612, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 1\/24*z**5 + 3*z**2 - 1\/420*z**7 + 0*z**3 + 0*z + 1\/24*z**4 + 1\/80*z**6 - 1\/672*z**8 + 0. Find q such that x(q) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65485922?\nAnswer: 2, 23, 1423607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -41*m + 4. Let i(p) = -45*p + 4*p + 42*p. Determine d(i(y)).\nAnswer: -41*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5360 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -468, -1\/5?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545 + 8421 = 344*d - 118*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357243 and 12159.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 + -1664604?\nAnswer: -1664452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-20402.\nAnswer: 81608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 48, -0.4, 0.3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -49\/2 (b) 0.3 (c) -75 (d) 0 (e) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50508 and 45.\nAnswer: 252540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7443555 to three decimal places.\nAnswer: 0.744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2012196405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081872 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttjstttstttss. What is prob of picking 2 t?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263*j**2 - 2254*j + 1125*j + 1129*j + 123*j**3 wrt j.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:03 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 126*m - 8193. Let f be h(65). Let k(q) = -9*q**3 + 6*q**2 + 5*q + 4. Let y(o) = 5*o**3 - 3*o**2 - 3*o - 2. Give f*k(d) - 5*y(d).\nAnswer: 2*d**3 - 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 12. Suppose -o - 9*p = -7*p - 504, 3*p - 1006 = -2*o. Let v = -500 + o. Put u, v, -1, 5 in increasing order.\nAnswer: -1, v, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 10*n**2 - 8*n - 7. Let m(u) = -u**3 - u**2. Let p(v) = -4*m(v) + s(v). Give p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4023585 at most -4023689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 0.02. Let k = a - -0.36. Let x = 105.05 - 105. Put k, -3, x in ascending order.\nAnswer: -3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1246538 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72303, 72305, 72309, 72315, 72323, 72333, 72345?\nAnswer: 72359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100001001011111 (base 2) to base 10.\nAnswer: 115295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/11242 and 30\/847.\nAnswer: 123662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*h = 24, -36*l = -41*l + h - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*n - 13005 = -119*n - 106*n + 51*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 453824394 divided by -3?\nAnswer: -151274798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*r - 3034528 - 839909 - 71941. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1201\/876?\nAnswer: 1201\/876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28955 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0132 and -0.5?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 2*w**2 - 2*w**2)*(-12868*w + 5496*w + 5978*w).\nAnswer: 1394*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2, 0, 14, -0.4 in increasing order.\nAnswer: -0.4, 0, 0.05, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccdcccccccdccccc. Give prob of picking 3 c and 1 d.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/2 - 61*o**4\/2 + 115*o**3\/2 + 177*o**2\/2 = 0.\nAnswer: -1, 0, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -47. Let m(v) = 7 - 8*v + c*v - 12. Let n(d) = -7*d - 9. Calculate 5*m(o) - 3*n(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (1 + 0))*-1. Suppose -26*o + 58 = 6. Let j(z) = -9*z**2 + o*z**2 + 13*z**2. Give j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 6*k - 1624. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2581928 is divided by 860640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1642 + 3766. Is q a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -11. Let o(l) = 4 - 122*l**3 - 2*l**2 - 3*l**2 + 121*l**3. List the prime factors of o(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-8 + (4 - (-20 + 3)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -373, -506, -723, -1036, -1457, -1998?\nAnswer: -2671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2371.1 + -2371. Which is the closest to i? (a) -2 (b) 0 (c) 1.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22169.17 millilitres?\nAnswer: 22.16917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1. Let g(d) = -3*d + 6. Let k(m) = -m - 1. Let u(i) = -g(i) + 4*k(i). Let x(a) = -10*a**2 - 444*a - 1006. Let l be x(-42). What is l*u(b) + 10*v(b)?\nAnswer: -2*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**7\/840 - b**6\/72 - 53*b**3\/6 - 110*b**2. Let j(u) be the first derivative of d(u). Let j(a) = 0. What is a?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/5 (b) -1\/2 (c) -10706 (d) 2\/205\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a - 3. Let h(u) be the second derivative of -5*u**3\/2 - 5*u**2\/2 + 3*u. Let l(f) = 3*h(f) - 5*o(f). Let n be l(-2). Round n to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228533081 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(sqrt(192) + 3 + sqrt(192) + 1))**2 - (-3 + sqrt(192)*1 + sqrt(192) + -2 + sqrt(192)*2)).\nAnswer: -28229 - 4576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*b = -758 - 2455 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3470*0.1\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -2\/13 (c) 3\/8 (d) -0.1 (e) 12\/335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 7, 1, -59, -28, 0.\nAnswer: -59, -28, -4, -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*p - 18 = 0, -2*y - 4*p + 55 = 3*y. Let s(t) = 32 - 9*t**2 + y*t**2 + 11*t + 3*t**2. Let x be s(-6). Solve x*r - 6 + 0 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m - 23*m - 27*m + 191*m - 38*m.\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16392145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1739076\nAnswer: -5217228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 9*h**2 - 14*h - 61. Is g(30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 7, q: 1}. Give prob of picking 4 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 17}. Give prob of picking 4 s.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9412 and 832?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-15 - -7)) + (18 - (-1 + -2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5249008.8 and -8.5?\nAnswer: 5249017.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2592) + sqrt(2592))*1)\/(sqrt(576) - (6*2*sqrt(576) + sqrt(576))).\nAnswer: -3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 998980293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = o - 12, -o + 4*o = p - 16. Suppose p*x - 405 = -x. Suppose 0 = 5*j - 4*n - 129 + 3, -3*j - 3*n = -x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*25\/30*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1963 - -2037. Calculate the highest common factor of y and 4736.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q**2. Let k(s) be the third derivative of 0*s**4 - 10*s**2 - 1\/60*s**5 + 0*s + 0*s**3 + 0. Give a(k(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 + 2366*q**3 + 1385196*q**2 - 16938494*q + 15550931 = 0. Calculate q.\nAnswer: -1189, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 25\/2*q**4 + 0*q**2 + 15\/2*q**5 + 0*q + 5*q**3 = 0 for q.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188365 (base 9) to base 8\nAnswer: -345647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y + 7. Let u(w) = 6*w + 4. Let v(s) = 4*i(s) - 7*u(s). Let p(j) be the third derivative of -j**4\/24 + j**2. What is v(p(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d + 211. Calculate l(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 + 6*k - 17. Let z be n(6). Solve -z*m - 40 = -9*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. What is the remainder when 5 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-15)*8\/((-128)\/(-3)). Let a(i) be the third derivative of 0*i + 0*i**3 + 0 + 6*i**2 + g*i**4 - 1\/100*i**5. Solve a(w) = 0 for w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 13*u = 50, -v - 4*u = -367611 + 367597 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*q - 9, 10*r = 5*r - 3*q + 129. Let w be (0 + 0)\/((-12)\/6). Suppose v - 5*v + r = w. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzt when three letters picked without replacement from yzeezytueetueyt?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*n = 57112, 3*f = -4*n + 19890 + 22937. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1014, -1019, -1028, -1041, -1058?\n\"Answer: -2*h**2 + h - 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 + 7 - 45) + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -0.6, 0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.05 + 0.05. Let x = 0.1 + -0.2. Let w = 0.25 - 0.15. What is the closest to w in 3, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 70210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/24 + g**3\/3 - 10*g**2. Let w be z(-5). Differentiate -11 + 23 - 9 - w*l**4 wrt l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(3328) - (sqrt(3328) - (sqrt(3328) - sqrt(3328)*2)) - sqrt(3328)) + (sqrt(260)*-2)\/sqrt(5))\/((sqrt(64) + -2*sqrt(64))*-2).\nAnswer: -9*sqrt(13)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 171853501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3960)\/(-117))\/(-11).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 2*o**3 + 2*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(192) - sqrt(192))*4 - (sqrt(192) - -4*sqrt(192)*-1) - ((-2 + sqrt(192))*2 + ((sqrt(192) - 5*sqrt(192)) + sqrt(192))*-1))**2.\nAnswer: 384*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1270 (base 10) to base 5.\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 3875492972726?\nAnswer: -3875492972726.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10659040 at most -10659057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2 + 13*f - 7*f**2 + 3*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14 = 3*h, -h + 3*i = -4*h + 9. What is the remainder when (1\/1)\/1 + 34 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798616 is divided by 186?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5243 = -11*m + 5122. Let h be m*(183\/(-33) + 5). Factor -h*s + 10\/3 + 2*s**2 + 2\/3*s**3.\nAnswer: 2*(s - 1)**2*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/10, -8, -0.1, 5\/3.\nAnswer: -8, -0.1, 1\/10, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**3 + 3*a**2 - 4*a - 4. Let t(h) = 11843 - 5920 + 3*h + 4*h**3 - 5920 - 3*h**2. What is 3*i(b) + 4*t(b)?\nAnswer: b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1527*j - 88050 = -3020*j + 1025*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 0 + sqrt(7) + 1 + -3) - ((sqrt(847) - -6*(sqrt(847) + sqrt(847) + -1))**2 + -6*(sqrt(448) + -1)).\nAnswer: -143193 + 1760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 1000000 = -8*p. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/7 + 1914*f**4\/7 + 372627*f**3\/7 + 2851752*f**2 - 42571380*f\/7 - 62162928\/7 = 0.\nAnswer: -274, -92, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by 241.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 17126 = -122630. Let q be 3 - 11\/(44\/s). Let g = -1009 + q. Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 - 3 = 5868*y - 5805*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (9644\/(-16))\/((-1)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 11 + -14 - (7 + -4 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 747130.\nAnswer: 30632330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 101, 1008, 1 in ascending order.\nAnswer: -4, 1, 5, 101, 1008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20944\/406887 + -2\/10433. Sort u, -2\/5, -20.8 in increasing order.\nAnswer: -20.8, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100\/7, -2098, 3, 0.319?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3001*j**3 - 8*j**2 - 4*j. Let n(t) = 12006*t**3 + 34*t**2 + 17*t. Determine -17*k(o) - 4*n(o).\nAnswer: 2993*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 4 (c) 1\/8 (d) -4 (e) 86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 3*w - 2. Let k be u(2). Let p be ((-45)\/(-6))\/(6\/k). Let h = p - -1. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + 862*k + 358. Suppose -2*v + v - 151 = -3*p, -2*p + 114 = 2*v. Calculate the remainder when p is divided by n(-172).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 25, 24, 15, -2?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 644493234 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 3*c + 52. Let g(r) = r - 17. Give 2*f(v) + 7*g(v).\nAnswer: 2*v**2 + v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4027 not equal to 4027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -234*m**2 + 10062*m + 13. Calculate w(43).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 2306 + 1819. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.38 + -0.49. Let v = -1088 + 1082.09. Let m = a - v. Round m to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.001 - -2.099. Let y = -2106 + 2101. Sort -2, y, f in increasing order.\nAnswer: y, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y\/((y**(2\/7)\/y)\/y)*y*y)\/y))\/y*y**2)\/(y**(-1\/3)*y*y**(1\/5)*y)*(y**1)**22*(y**0*y)**(-31\/4) assuming y is positive.\nAnswer: y**(4061\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/6)\/((-8)\/120). Which is greater: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(4\/4) - (-5)\/((-10)\/12). Let k(f) be the first derivative of x*f + 4 + 17\/10*f**2 + 1\/5*f**3. Determine d so that k(d) = 0.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*q + 5459 - 1754 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*x + 8 = 5*r, 2*r - 5*x = 18. Solve 2*z = r*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*t - 25699 + 9816, 4*l - 5*t - 12709 = 0. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 7718*q**3 - 8262511*q**2 - 8254792*q.\nAnswer: q*(q - 8671)*(q + 1)*(q + 952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -8. Let i(z) = -z + 10*z - 5 - 1 - l*z. Calculate i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0 + 13*f**2 + 0*f**3 + 0*f + 1\/4*f**4. Let m(x) be the second derivative of x**3\/6 + x. Give m(d(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 175*w**2 + 6*w - 1047. Let g be p(175). Factor -5\/4*t**4 + 0 + 0*t**g - 5\/2*t + 15\/4*t**2.\nAnswer: -5*t*(t - 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from srgtippritii?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - k**3 + 2*k**3)*((7*k - 2*k - 2*k)*(-k - 3 + 3) - k**2 + 0*k**2 + 0*k**2 + 3*k**2 - k**2 - k**2 + (-3*k**2 + 9*k**2 - 4*k**2)*(3 + 0 - 2)).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -48 (b) -18.4 (c) 0.5 (d) -7 (e) 3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43017413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -48*m**3 + 27*m**2 - 27*m - 27. Let k(g) = -7*g**3 + 4*g**2 - 4*g - 4. Calculate 27*k(f) - 4*l(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a micrometer in nanometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 0, 4*j = -0*o - 4*o + 20. Suppose 5*w + u - 4*u = -15, -5*u - 49 = o*w. Let y(q) = q**3 + 6*q**2 - 3*q. List the prime factors of y(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w + 22*w + 22*w + 4*w**3 - 59*w as j*w + x*w**2 + q*w**3 + l and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293928 - -412229. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57.47 + -1.47. Let j = 55.92 - n. Let k = 0.57 + -0.07. Which is the closest to -1\/4? (a) j (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2858444172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16172, 2, 377 in increasing order.\nAnswer: -16172, 2, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1395 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11939407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*95.\nAnswer: 3515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-1))\/(2*-1). Let y = 7 - h. Let f(u) be the first derivative of -u**2\/2 + 7*u - 4. Determine f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 125*j + 621. Calculate k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 6 + -7 - 554. Let c = a - -608. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:17 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (3 - (-5 + 3)) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*n - 36. Solve -4 = -3*s + n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9961.83 to the nearest 100.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152301456 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 1, x: 1, j: 2, b: 1, d: 2}. What is prob of sequence jbx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.1, -6.07, 5, 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/20 + 6*f**2. Let a(s) = 3*s. Let h = 3 - 1. Let d(i) = 12*i. Let n(z) = h*d(z) - 9*a(z). Give n(l(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2610 and -43\/4005?\nAnswer: 232290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 1 in ascending order.\nAnswer: -20, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729931 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, 2\/11, -92\/7, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from cocmmh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145084 is divided by 260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {w: 9, m: 7, r: 2}.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 11 = 7*h. Suppose 2 = -s + 3*s + f, h*s + 5*f = 10. Suppose 9*r - 15*r + 372 = s. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 0.12.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 762*r\/5 + 763\/5.\nAnswer: -(r - 1)*(r + 763)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-204)\/(-8))\/(-17))\/(27\/144)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 9. Let s(m) = -m**2 - h - 4*m + 4*m. Determine s(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13124*y**3 - 13*y**2 - 9*y - 1. Is k(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 5 + 38*h**2 - 12.\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114 + 7246?\nAnswer: 735a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4424 + -4421. Let t(c) = -c**2 + 4 - c**3 + 0*c**3 + 3*c**2. Determine t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 532520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnazannenefznnafenze. Give prob of picking 1 f and 3 e.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/117 and -119\/30?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d + 11*d + d + 51*d**2)*(5 - 2 - 5)*(-2 + 4 + 1)*(2*d + 0*d - d) to g*d + t*d**2 + h + f*d**3 and give f.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 147\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = 4*a + 70, 6*i + 5*a + 1 = -2*i - 7 - 8 - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426 + -423. Differentiate 44*m**3 + 25*m**g - 125 + 9 + 0*m**3 wrt m.\nAnswer: 207*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**2 - 3*z + 15. Let j be y(5). Let g be 40\/j - (-19)\/20. Which is the closest to 1? (a) 2\/9 (b) 7\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -6. Let y = x + 6. Suppose y = -l + 5*l - 52. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:47 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 2. Let z(b) = -b**3 + 7*b**2 - 7*b - 10. Let t be z(5). Put t, -3, i in descending order.\nAnswer: t, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -332. Suppose 0 = -3*h + 2*c + o, 0*c + 3 = c. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4456 + 11438. List the prime factors of y.\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -71 (b) -0.5 (c) -4\/5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/14*1526\/109\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4228, -29837, -99354, -234733, -457928?\nAnswer: -790893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46585.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/133)\/(4\/14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 - 12?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -2*v - 13*z - 22, 0 = -5*v + 5*z - 5. Let o(u) = -u**2 - 4*u + 8. Determine o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from aaabaaaaabaaaaaaaaa?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + -5 + 1 + sqrt(7) + sqrt(42)\/sqrt(6) + 5)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1857 + -1857.4. Put -6, -2\/7, -3\/11, c in decreasing order.\nAnswer: -3\/11, -2\/7, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/4 + 25143*q**3\/2 - 9337135*q**2\/4 = 0.\nAnswer: -50471, 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 242, 1, 4 in descending order.\nAnswer: 242, 4, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1783166.862 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003572 (base 8) to base 5.\nAnswer: 31422213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(45)\/sqrt(3))\/(sqrt(147) + sqrt(147) + sqrt(147)*-2 + sqrt(3))*2.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46310 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0*p**4 + 0*p**2 + 0 + p - 1\/6*p**3 - 1\/10*p**5. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 87\/(-4) + (-3)\/(-4). Suppose 8*x = 9*x - 1, -3*x = 5*w + 502. What are the prime factors of w\/(-2) + f\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 18. Let h be a(-9). What is the first derivative of -6*z**3 + h*z + 4 + z**3 - 9*z wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 2*s**2 - 4*s + 3. Let h be u(3). Suppose g - 3*g = h. Suppose 2*y - 58 = -g*y. What is the highest common factor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 7017*k + 7012*k = -24, k = -5*d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1 - (-1 + -10 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*v + 10097 + 59478. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4695847.\nAnswer: 13, 361219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, -0.16619, -7, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492769004?\nAnswer: 2, 3, 2477, 50221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -100\/11 (b) -4\/3 (c) -4 (d) -1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 328\/5. Let n be (-10)\/(-6)*1 + -2. What is the third biggest value in -0.4, n, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324465048?\nAnswer: 2, 397, 417023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -n + 2*m, -3*n - 2*n + 13 = -3*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*t + 196*t**2 - 396*t**2 + 200*t**2 - 256 + 26*t**3 wrt t?\nAnswer: 78*t**2 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(2) - sqrt(200)\/sqrt(4)) - (sqrt(90)\/(sqrt(5) + (2*sqrt(5) + sqrt(5) - sqrt(5))))\/sqrt(9)).\nAnswer: -65*sqrt(2)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 20 + 25. Suppose -6*d = -5*d - 10. What is the lowest common multiple of d and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/120 - s**4\/24 - 11*s**3\/6 - 2*s**2. Suppose 0*y + 10 = 2*y. Suppose 0 = -m - y*a - 10, 2*a + 2 = a. What is j(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870844 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhffhhfhhhhfhh. What is prob of picking 2 h?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35289, -35184, -35079, -34974?\n\"Answer: 105*i - 35394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2\/11 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0 (c) -29 (d) 1.9 (e) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b7 (base 16) to base 10.\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -174\/19?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -100. Suppose -p*x + m = -1 - 9, -x = -2*m + 5. Which is the smallest value? (a) x (b) 143 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 13784329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:46 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -17, -39, -79, -143?\n\"Answer: -v**3 - 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 4) to base 3.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 567\/33 - (8 + -8). Which is smaller: 18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2\/3 - 1008845*a + 3026540\/3 = 0. What is a?\nAnswer: -605308, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/((-63)\/(-6))*-93.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*j - 3088, -52*z = -54*z + 2*j + 1236. What is the least common multiple of 18 and z?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b04 - 289?\nAnswer: -7d8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - (-13)\/((-7371)\/43911)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -253*b**4 + 166*b**3 + 75*b + 117610240 wrt b?\nAnswer: -1012*b**3 + 498*b**2 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 92*y - 144. Determine c(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(125)*-2*3 + sqrt(125) + sqrt(125) - -6*sqrt(125)*-1*-6) + 4)*6)**2.\nAnswer: 11520*sqrt(5) + 4608036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - 55)) + (-4 - (15 - (15 + 6)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1109286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (6 + 8) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2418032)\/330 + 6\/(-9). Let h = o - -7326. Let s = 18\/11 + h. Which is the second biggest value? (a) s (b) -0.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16 - 4*m - 21 + 35. Let j(d) = -2*d**2. What is j(n(z))?\nAnswer: -32*z**2 - 32*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4580448 by 1145112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 + 2*v**3)*(-2 + 2 - 1)*((-v**2 - v**2 + 3*v**2)*(2 + 3 - 7) - v**2 + 2*v - 2*v).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {q: 2, v: 2, u: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4024 + 16.\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20208? (a) -4 (b) 9 (c) 0.02 (d) 3\/4 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 + -0.190371. What is g rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -16216745?\nAnswer: -28\/16216745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1547 and 9?\nAnswer: 13923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 31, 68, 119, 184, 263, 356?\n\"Answer: 7*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.324115 decades to years.\nAnswer: 3.24115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 102, 3\/5, 0, -0.5, -2\/75, -5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -4, 0.1, 396\/5, 15\/4, 2\/11?\nAnswer: 396\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11390 + -5686. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -810.73 + 811. Let z = 1.09 + -2.07. Let r = z - 0.02. Which is bigger: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 - 1)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -54. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1950440904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-3)\/(-9))\/(2\/(-6)). Solve -s = -3*h + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 60 - 20*c - c - 18*c - 11*c to the form q + s*c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -220011?\nAnswer: -220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 542*l - 545*l - 4*x - 4, 0 = l - x - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 8. Suppose 3*t - 7*t + 2*s = -14, -p*t - 4*s + 50 = 0. What are the prime factors of (3\/(-2))\/(t\/(-4))*107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1238115 to the nearest ten thousand.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -69, -5, 2 in decreasing order.\nAnswer: 5, 2, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 7\/(140\/60).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 13, 0, -3 in increasing order.\nAnswer: -5, -3, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-240))\/((-2)\/8)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in 2, 29, 0.3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*c**2 + c**2 - 3*c**3 + 5*c**2 - c**2 to p*c**3 + d*c + i*c**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13 - 173*a**2 - 163*a**2 + 9*a + 335*a**2. Calculate w(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31181\/20 + -7831\/5. Let l = n - -933\/220. Find the common denominator of 41\/3 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 - -10201401?\nAnswer: 10202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4*c + 4. Let a be u(-4). Suppose -5*k = 4*g + 23, -g - a = k + 1. Let v = k + 4. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 5*y - 1. Let j be r(-4). Let t = 10 - j. Suppose t = 5*a - 3. Solve -o - 13 = 4*g, -5*o - 6 = g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, q: 1}. Give prob of sequence qw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 11*q + 55. Let y be a(15). What is the units digit of -1 + 1504\/4 + y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let x be u(-1). Let c(v) = -v**2 - 3*v - 1. Let t(r) = -r - 1. Let i(d) = 2*c(d) - 6*t(d). Let k(m) = -1. Calculate x*k(l) - i(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 1)*((w**2 + 0*w**2 - 2*w**2)*((2 + 1 - 5)*(-2 - 1 + 4) - 5 + 3 + 3) - 4*w**2 - w**2 + 4*w**2 + (6 - 3 - 1)*(3*w**2 - 6*w**2 + w**2)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.2 + 22846712080?\nAnswer: 22846712018.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/418 + (-135)\/33. What is the biggest value in f, 3, -2, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 - 2*k. Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.948 + 24.948. Which is the closest to 0? (a) j (b) 2\/19 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**2. Let y(g) = -g. Calculate y(n(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54250277 and 7675.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -9345?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 12) to base 13\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 469?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -74. Calculate the remainder when 78 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010220 + 1?\nAnswer: -2010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 2*p**7\/315 - 97*p**6\/90 + 277*p**5\/5 - 6815*p**4\/18 + 8836*p**3\/9 + 4893*p**2. What is b in c(b) = 0?\nAnswer: 1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594 take away -5?\nAnswer: -2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4 - 12. Suppose -4*o - 72 = q - 6*q, 0 = 5*o + 15. What is the least common multiple of q and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.43 - -3.5. Let k = 0.07 + c. Which is smaller: 1\/3 or k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 2*c + 3*l + 1199098, -4 = -2*l. Let o be (7 - 6)\/1*4. Suppose -o*r = -220224 - c. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6*t - 2*y + 1494, -2*y + 10 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a21 (base 16) to base 14\nAnswer: d33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1767.797737673\nAnswer: -1772.797737673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (540\/(-144))\/((-3)\/8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.589068143 rounded to 5 decimal places?\nAnswer: 0.58907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23755748 divided by -50978.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1089, 167, -755, -1677, -2599?\n\"Answer: -922*w + 2011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292686*d*z**3 - 3*d*z**2 + d*z + 27122*z wrt z?\nAnswer: 1756116*d*z - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3849, 7697, 11545, 15393, 19241?\nAnswer: 23089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10\/7)*o\/(o*o*o**(1\/2))*(o\/(o\/(o\/o**(2\/61)))*o)\/o**(-5\/14) assuming o is positive.\nAnswer: o**(-258\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 80 = -5*x, o - 24 = -7*x + 4*x. Let a be (56*3)\/(-7) + 4. Calculate the remainder when (a\/6 + 3)*-129 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125925229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-1872)*11\/((-33)\/(-8))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.61 + -1.91. Let a = 0.3 + b. Let i = 4.84 + 0.16. What is the nearest to -2\/5 in 4\/5, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 - 6853*q**3 - 40915801*q**2\/2 + 20722814112*q - 4571997700608.\nAnswer: -(q - 416)**2*(q + 7269)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 372 + -375. Let q = -3 - -3.3. Which is the nearest to d? (a) 1 (b) q (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -375111564*l - 383188949 with respect to l.\nAnswer: -375111564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40186000 rounded to the nearest one hundred thousand?\nAnswer: -40200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 135 = 5*j. Solve 7 = 3*k + 4*i, -4*k + 3*i - 1 = -j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 1. Suppose v + v = -a + 9, -t*v - 3*a = -7. Solve -3*x - x = -v*c + 24, 0 = -3*c + 5*x + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2925\/(-1485) + 19 - 17.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z. Suppose 0*x - 3*x = 12. Let m(h) = -h - 5. Let s be m(-4). Let j(k) = 3*k - 4. Let u(r) = -r + 1. Let c(d) = s*j(d) + x*u(d). Give n(c(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 417 + -190. What are the prime factors of d?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 2*y + 0*y + 2*y - 1.\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*h + 422, h - 3*g - g - 112 = 0. Calculate the smallest common multiple of 143 and h.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 1, 0, 5, -26 in decreasing order.\nAnswer: 12, 5, 2, 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9157 - -1922983\/210. What is the common denominator of -173\/420 and s?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3121466355.\nAnswer: 3, 5, 7, 67411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 10*j**2 + 17)*(-36*j + 2799 - 2799).\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 0.5, 37.63, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6828 - 0.414.\nAnswer: 6827.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1524910 take away 1.94?\nAnswer: -1524911.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 29.05. Let v = 34.3 + r. Let o = 0.3 - v. What is the second smallest value in o, 1, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 60 = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2043*v - 1853*v + 14440 = 0 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v + 8. Let z(t) = 0*t + 3*t - 5*t - 4 - 130625*t**2 + t. Let b be z(v). What is b rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 208 = -4*l, 48*l - 52*l + 4 = 0. Suppose t*p = 209*p + 5793. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61007?\nAnswer: 61007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 322*z + 856 - 505 - 5825 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/56 - (-2)\/(-14). Put 5, h, 2, -3 in ascending order.\nAnswer: -3, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 73045658*n. Let a(g) = g**2. Calculate i(a(t)).\nAnswer: 73045658*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 386420973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o**3 + 11*o**2 - 8*o + 3. Let w(f) = -5*f**3 + 4*f**2 - 3*f + 1. Let t(d) = -4*p(d) + 11*w(d). Let h = 112 - 71. Let n = h - 42. Give t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*i - 27 - 34, 2*i = -4*t + 38. What are the prime factors of (-8)\/t - 106\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 + 5*c - 13. Let z be k(-7). Let x be z\/(-24) - (-9)\/12. Solve -3*g + x = -0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203*k**4 + 947 wrt k.\nAnswer: -812*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -2\/3, -0.3, -2\/7, 1\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(4\/9 + 4\/(-18)). Find the third derivative of 21*u**2 + 2*u**4 - u**4 + i*u**5 - u**4 wrt u.\nAnswer: 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*n**5 - 2*n**5 - 33*n**5 + (-3*n**2 + 3*n**2 - n**2)*(2*n**3 + 4*n**3 - 15*n**3) - 2*n**5 + 5*n**5 - 4*n**5.\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -391660?\nAnswer: -195830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-56) + 1\/((-14)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*(sqrt(209) - (sqrt(209) + (sqrt(209) - 2*-1*sqrt(209))))*-3)\/((sqrt(704) + sqrt(704)*-2 + sqrt(11) + 5*(sqrt(11) - sqrt(44)))*-2))**2.\nAnswer: -3*sqrt(19) + 1195\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (54 + (-13 - -10))) + 8 + 0 - -7?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280429, -560867, -841305, -1121743, -1402181?\nAnswer: -1682619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43259\/5 - -8652. Sort 0.5, -108\/7, u, -2\/11 in decreasing order.\nAnswer: 0.5, u, -2\/11, -108\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**3 + 236*q**2 - 534*q - 252.\nAnswer: -2*(q - 21)*(q - 3)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 45 - (0 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 0 + (-7410)\/(-390).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 28284042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 4*p - 25. Let t be ((-50)\/15)\/(4\/30). Let q = t + 34. Does 23 divide d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*u - 87 - 167 - 256 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -31*t + 129. Give n(14).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 2.992?\nAnswer: 5.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112446, -121792, -131138?\nAnswer: -140484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -90. Let i(l) = 6*l**2 + 4*l. Let q(o) be the second derivative of -13*o**4\/12 - 3*o**3\/2 + 2*o. What is b*i(m) + 4*q(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1300)\/(-2275)*(-70)\/(-8)*10\/125?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2072 times 28144?\nAnswer: -5831.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8829969 or 8829971?\nAnswer: 8829971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:27 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/4 - a**3\/3 + 1. What is the tens digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34743.\nAnswer: 3, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5906410095 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77722789 is divided by 25907595.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 92, -5, -17, -2\/3, 7 in decreasing order.\nAnswer: 92, 7, 5, -2\/3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2832 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 52 = -2*v. Let t = -2 - v. Suppose -t = -2*y - 1. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*-10*(-14)\/(-420)*(-12)\/10. Suppose 11*y - 1\/10*y**i - 605\/2 = 0. What is y?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2402)\/(-6) - 3\/9. Let j = -232 + l. Calculate the highest common divisor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5 = w, r = 28*w - 29*w - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28207623 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3007 (base 10) to base 11.\nAnswer: -2294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - -42. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 59. Let t be 135 + (1 - 2) + -2. Suppose 4*b + t = 5*h, -5*b = -12 + 2. Calculate the remainder when h is divided by w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let v = -12\/8107 - -16274\/40535. Sort -0.3, v, 1\/23, u in increasing order.\nAnswer: -0.3, 1\/23, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m + 172. Calculate the remainder when 721 is divided by z(31).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*y, -48*z = -50*z + 3*y + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0 + 6*z**2 + 2*z + 10*z**2 - 1. Let t be g(1). Let r = -1 + t. What is the lowest common multiple of 8 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2745, 12600, 29563, 53634, 84813, 123100?\nAnswer: 168495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 7896.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -262 in -0.4, -1, 0, -0.22, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -21. Let a be (-17)\/6 + i\/30. What is the closest to -1 in 2\/5, a, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 - 12 - 6 + 2)*(-82 + 120*y + 98*y - 220*y) to g*y + q and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*q**3 - 8 - 1 + 1036*q**3.\nAnswer: 2*q**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/14457780 and 41\/684.\nAnswer: 274697820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**5\/8 + 18*a**4 - 204837*a**3\/8 - 11096919*a**2\/4 + 43470420*a - 40670604 = 0.\nAnswer: -172, 1, 13, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {r: 5, m: 7, p: 2, o: 1, i: 4, b: 1}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 19*r - 9 + r**2 - 16 + 20*r - 13*r. Let p be h(-27). Suppose 0*g + 2*g + p*m + 2 = 0, -4*m + 16 = -g. Is 2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.024 + -0.624. Let p = 0.933 + -4.161. Let u = a + p. Round u to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 12. Let q = 9 - 14. Let g be i(q). Put -4, 4, g in decreasing order.\nAnswer: 4, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9925 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, 4 in increasing order.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 28, -1 in descending order.\nAnswer: 28, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*h + 107, -3*h + 4*u + 160 = 5*u. What is the remainder when 0 - 2361\/(-15) - (-288)\/480 is divided by h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-4)*(-10)\/3)\/((-300)\/(-10)))\/1?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6898 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**2 + 3*j - 104 + 104)*(-j**2 + 2*j - 2*j) in the form h*j**4 + t*j**2 + n*j + u*j**3 + c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.223 - 290.223. Let a = 292.78 + h. Let d = 0.22 + a. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/616 and 103\/20496?\nAnswer: 225456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -8\/102865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67710 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141612883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let b = -1563 + 1565. Let y(h) be the third derivative of 0*h + 0 - 4*h**b - 1\/4*h**4 + 0*h**3. Calculate u(y(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 2. Let m be k(2). Suppose f = -3*u - f + 5, m*f = u - 15. Put u, 0.5, -6 in decreasing order.\nAnswer: u, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/55)*h**(2\/33) assuming h is positive.\nAnswer: h**(4\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 208543876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 0.064 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.15 - -2.35. Let w = 18.9 - j. Sort w, 2, 5, 1\/4 in ascending order.\nAnswer: w, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1.5. Let z be 10\/4*(0 - 2). Suppose -5*i - 5 = 5*c, c + 6 - 5 = -4*i. What is the third smallest value in b, z, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5\/2 + 25215*z**4\/2 - 26510415*z**3 + 79455615*z**2 - 158860815*z\/2 + 52945203\/2.\nAnswer: -3*(z - 4201)**2*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:14 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/18304 and -103\/54912?\nAnswer: 54912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*z + 9 = 0, -4*o = -0*o - 3*z + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 525925627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223290019*g**4 - 287857997*g wrt g.\nAnswer: 2679480228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 35 = -15. Let a = h - 29. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467 - 462. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.79604 seconds to milliseconds.\nAnswer: 85796.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217064 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 29*k**2 - k + 1. Suppose 31*y = -47 + 16. What is the remainder when 117 is divided by l(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8 = 3*p. Suppose -r - 72 - 5 = -4*y, -p*r = -5*y + 88. What is the lowest common multiple of y and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480024.\nAnswer: 2, 3, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -684*w - 129272. What is u(-189)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 1988594.\nAnswer: 163\/1988594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 2*n - 444. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/7)*r)**(-15\/4)\/(r*r\/r**(-2\/9))**(-31) assuming r is positive.\nAnswer: r**(15875\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u + 524859 = -197*u + 1048808 - 525227 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (437 - 429)*(-1)\/(-2)*5. Solve 2*w + h = 8, -3*w + h = -x + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 - 2252*u**2 - 26592*u - 79344 = 0. Calculate u.\nAnswer: -551, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -1\/5, 4, 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.53269 millennia in years?\nAnswer: 93532.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 4. Let x(k) = -4 - 6 + k + 4*k - 3 + 12. Let s(q) = 14*q - 3. Give d*s(h) - 17*x(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 0*o + 0*o + (-3 + 7 - 2 + (-1 - 2 + 1)*(4 - 2 - 1) - 5 - 1 + 5)*(5*o + o - 5*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -16. Let h(g) = -g + 3. What is h(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2, 5, -5 in ascending order.\nAnswer: -5, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 = 2. Let h be (-48 - (-2)\/(-2))\/j. Let d = h - 22. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7400*z**2 - 1098*z**3 + 7400*z**2)*(1 + 1 - 1) + 1 - 3*z + 2*z**3 - 1.\nAnswer: -1096*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 118375 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -264.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 6*q - 169*q**3 + 20*q**4 + 170*q**3 + q + 0*q**2 - 3*q to g*q**2 + o*q + m + c*q**4 + s*q**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-261)\/180*45\/(-18))\/(4\/32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3 + 0*n**2 + 6 + 106\/5*n**5 + 0*n**4 + 5*n. Find the third derivative of s(h) wrt h.\nAnswer: 2544*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 377\/(-39))\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 7. Let y = 20 + -14. Suppose 0 = -2*w + 6 + y. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16 and 910\/(-21) - (-2)\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37.53048nm?\nAnswer: 0.03753048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 - 18*o**2 + 8*o - 24. Let l be g(7). What is the third smallest value in -0.4, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbbbuwstssts. Give prob of picking 2 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/(-6))\/((-6)\/24). Suppose -x + p + 28 = 0. Calculate the greatest common factor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:16 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21857443 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 511 and 1460.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2733, -2732, -2731, -2730, -2729, -2728?\nAnswer: -2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1, o: 1, v: 1, h: 1, q: 1}. Give prob of sequence vh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 123.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.087?\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 14 = 6*g + 32 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675 - 306*v**3 - 675.\nAnswer: -306*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 42. Suppose -3*q - 3*c + s = -0*c, -4*q + 20 = 2*c. Solve 0 = -3*b + 4*b - q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 - 4*z**2 - 7*z - 4. Let j be r(-4). Let t(k) = -k**3 + 6*k**2 + 15*k - 18. Let u be t(9). What is the units digit of 21\/(-2)*j\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - -166. Let k = 305 - r. Let h(n) = -2*n. Give h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k - 3. Let u be b(-2). Suppose 25*r - 8 = 26*r. Let q be (r\/20)\/(4\/(-80)). Solve o - u*o = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.093 (b) -826 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, -1\/7, -0.17 in decreasing order.\nAnswer: 4, -0.1, -1\/7, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*n + 7 + 77 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-684)\/380*(-2)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:05 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11491212 - 270.016\nAnswer: 11490941.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 8*k**2 - 9*k - 11. Suppose 0 = 5*x + 2*r + 29, 3*r + 0 - 2 = -x. Let f be o(x). Solve h = -f*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 80 = 0, -17*g - 63*g - 14 = 3*g + 2*z - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23894 is divided by 1086.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46680299 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 11943 = -13509. What are the prime factors of h?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-760)\/2562 - (-12)\/42. Let d = k + 197\/1281. Put -5, 3\/2, d in descending order.\nAnswer: 3\/2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 + 10 + 6 - 4. Solve -5*o - z + 18 = 3, -y = 5*o - 5*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2475*o = -2490*o + 2490. Which is smaller: 167 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 2*t + 5. Let j(d) = 2*d**2 - 2*d. Let q be j(2). Let m be n(q). Round m to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4 (c) -1\/2 (d) 2 (e) -3 (f) 399\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -14 - 6. Let x = -13 + u. What is the remainder when 20 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1601 = j, 2*a + 10*j - 1598 = 12*j. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253377 = -14*l + 3397. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + p - 8553 = 0, -9*p = 5*g - 10*p - 42741. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64\/1683 - 22\/153. Suppose 0 = -3*j - 2*j - 2*d - 7, 4*j + 3 = d. Which is the nearest to 0.1? (a) x (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 1, m: 1, q: 2}. What is prob of sequence ggtg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = 2*m, 3*i - 2*m = -2 + 16. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:20 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 2:44 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.6312092 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 0.05 (c) -0.2 (d) 0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -735*b**3*r**3 - 5*b**3 + 2*b**2*r + 16*r**4 + 369*r wrt r?\nAnswer: -4410*b**3*r + 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 84\/(-8))*-2. Let g = o + 29. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5*w - 2*r - 2446, -r + 7317 = 3*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6241 - 4.3759. What is the nearest to -1 in -0.28, 3\/8, m?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1908*i - 588. Is 24 a factor of v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42687*c**4 - 6*c**3 + 490*c**2 + 203*c + 2.\nAnswer: 1024488*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -308?\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 4. Let b(q) = -q + 12. Let t be b(4). Let x = -12 + t. Let s be (-2)\/x + (-36)\/8. Give c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 2*d)*((-4 + 4 - 1)*(-3 - 3 + 4) - 8 + 1 - 8).\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 66\/4. Suppose 2*n - 52 = -k. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 0.14. Let a = 16.56 + i. Round a to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434052 divided by -358513.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6359.752 nanometers in millimeters?\nAnswer: 0.006359752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/5304825 and 16\/4646295?\nAnswer: 673712775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*n - 4*p - 3, 3*n - p + 7 = 0. Let m = -2 - n. Suppose 0 = -m*v + 4*v + 2*k - 46, 4 = 4*k. What is the greatest common factor of v and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1*0)\/1. Suppose 5 = -k*d + 5*d. Let z(t) = 77*t. Is z(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 122 = 3*g, -5*t = -g + 3*g - 112. Let y = g + -42. Sort 1\/3, 3, y in descending order.\nAnswer: y, 3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 2, i: 1, k: 2, b: 2, v: 3, e: 10}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + 2)*8\/220. Suppose -n - 8 = -3. Sort o, n, 4 in ascending order.\nAnswer: n, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1\/160*s**5 + 13*s + 1\/96*s**4 + 1\/12*s**3 + 1 - 1\/4*s**2. Let l(x) = 0. Calculate x.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1722 (base 15) to base 3.\nAnswer: -20211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i + 2*i + 150. Solve -8*t + i*t = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2172\/30 + (-8)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 - 13 = -2*r, -2*q = 2*r - 22. Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11001?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 7*s = -10*s + 240. Solve 2*i + 88 = x + 82, 4*i + s = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 1, q: 3, b: 1, g: 3}. What is prob of picking 1 j and 2 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-4)*-6 - -96. What is the tens digit of (10\/(y\/243))\/(3\/74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.028, -5, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60330630.6000033 + -60330636. Let r = -5.4 - u. What is r rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2. Let t(c) = 2498*c**2. Determine f(t(y)).\nAnswer: -31200020*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.204533s to hours.\nAnswer: 0.0128345925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16609*m + 1. Let w be r(-6). Let g = -592653 - w. What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -128.24.\nAnswer: -127.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 12 - (0 - -8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(4 + 1)\/((-55)\/(-143)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40120)\/413)\/85 - (-382)\/420.\nAnswer: -7\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.896 - 0.836. What is the smallest value in s, 4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 15924*n + 541414. Calculate o(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (8\/20)\/((-1)\/(-10)). Solve -u + 2 = -2*h, v*h + 4*u + 13 = 8*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (-288)\/(-192).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*r**2 - 63*r**3 + 99*r**2 + (-3*r + 4*r + 0*r)*(3*r - 2*r**2 - 3*r) - r**2 + r**2 - r**3.\nAnswer: -66*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (74*d - 74*d + 7*d**3)*(-51 + 58 + 24 + 195) as h*d**2 + o + t*d**3 + p*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - 5.85. Let w = v + 2. Which is the biggest value? (a) w (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3430898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1157 - (0 - (-1)\/(3\/(-3))). Suppose -2*d - 2*d = -5*u - 919, 3*u - t = -5*d. What are the prime factors of d?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1096 and 16049?\nAnswer: -17589704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 100, 257, 484?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1\/4*b**4 + 10*b + 183 + 0*b**3 + 0*b**2. What is v(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353379663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 490, 497, 506, 517?\n\"Answer: v**2 + 4*v + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 80?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 3689.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142658, -570595, -1283822, -2282339?\nAnswer: -3566146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/2 + 7*f**3\/6 + 2*f**2 + 5*f + 209. Let s(j) = 7*j**2 + 8*j + 4. What is 6*l(y) - 5*s(y)?\nAnswer: y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:40 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8200, 32771, 73732, 131089, 204848, 295015, 401596, 524597?\n\"Answer: t**3 + 8189*t**2 - 3*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/25, 2, -2, 6, -2\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let x be (-290)\/(-90) - 2\/9. Solve -2*q = -o*q + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 11 = -j - 0*q, -2*j - 2*q - 6 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 3*x, -2*x - j - 7 = 4. Suppose 2*o = 4*y - 5*y + 28, o + 4*y = 21. Let t = o + x. What is the remainder when 34 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.855 + 28. Let y = h - 18.245. What is y rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alvq when four letters picked without replacement from qutltvlquaat.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -25*m + 131. What is k(6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*w + 45 + 31, 4*s + 3*w - 63 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r - r**3 + 39 + 30 + 4 - 108*r**2 + 0*r + 122 wrt r.\nAnswer: -6*r - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(80)*1 - sqrt(80) - sqrt(80))*-3 - (sqrt(500) - sqrt(500)*-1)*-6) + -1)**2.\nAnswer: -1320*sqrt(5) + 2178001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -1 (c) 3\/2 (d) -8\/25 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*sqrt(50))**2*6.\nAnswer: 10796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28074 + 84223\/3. Factor -1\/6*f - 1\/3 + u*f**2 + 1\/6*f**3.\nAnswer: (f - 1)*(f + 1)*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 3, o: 4}. What is prob of picking 1 m and 3 f?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 6\/5*z**5 - 4*z**4 - 8\/5*z + 8\/5*z**2 + 0 + 14\/5*z**3 = 0?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**3 + 37*t**2 + 4*t - 2. Let u(o) = -7*o**3 + 41*o**2 + 5*o - 3. Calculate 3*m(g) - 2*u(g).\nAnswer: -7*g**3 + 29*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 42?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1554342325 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 3 + 10 + (-72 - (-47 - -1))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/3 - 3*t**2\/2 + 98*t. Let o(y) = y. Determine o(s(w)).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -12 + 12 - (4 - -3 - 19)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.655 (b) -5 (c) -0.7 (d) -0.4 (e) -953\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r. Suppose r*a - 9 = -a. 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: Subtract 0.08 from -42445.\nAnswer: -42445.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -25, -4, 25, 62, 107?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Solve 3*n + 34 = 2*n - 3*y, -3*n = 4*y + 47 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16334\/99 - -1744\/11. Find the common denominator of d and -21\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 58, 103, 166?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*r**(1\/4))\/r*r*r*(r**(5\/4)\/r)\/r assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 w when three letters picked without replacement from {w: 6, z: 1, u: 1, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5793218 and -39\/17630?\nAnswer: 28966090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1863\/(((-2 - 8) + 8)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 69\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 3*k - 1. Let a(w) = -17*w**2 + 8*w - 3. Let s be (1\/(-2))\/((-3)\/(-66)). What is s*o(u) + 4*a(u)?\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 3*h**5\/40 - h**3\/4 - 6*h. Factor r(y).\nAnswer: 3*y*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/45 and -53\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -315*g**2 + 1025*g - 710.\nAnswer: -5*(g - 1)*(63*g - 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 617 - 26*x**2 + 12*x**2 + 365 + 13*x**3 + 1700 - 13*x**2 wrt x?\nAnswer: 39*x**2 - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3870 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g + 3. Let u be n(0). What is w in 3*w**3 - w**3 - w**u = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x. Suppose 0 = 2*b - y - x - 7, -5*y = b + 2. Suppose -2*h = -0*p + b*p - 26, 34 = 5*p + h. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8228 - -8218. Sort 1, q, 39.\nAnswer: q, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from twttwttwwwtwt.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcvvvvcvcccv. What is prob of picking 2 v and 1 c?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116539 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175609127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 2. Let m be 10\/4 - 4\/o. Let i(t) = 3*t + 14. Let y be i(0). Solve -v = -0*v - 4*l + y, m*l = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*x = -460, i - 2*i + 2*x + 80 = 0. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w + 50 = 0. Calculate the highest common factor of w and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111010 (base 2) to base 3.\nAnswer: 1010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcaa when four letters picked without replacement from axcbcffbaafxbd.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 6*x + 3. Let u be o(7). Let w = 12 + u. What is the smallest common multiple of 2 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -2\/11, -1\/5, -2\/53, -0.11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 17*t - 44*t**3 - 29*t**3 - 2*t**2 + 2*t**2.\nAnswer: -73*t**3 - 17*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4996.1 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 11. Suppose q - d = 2*t, 3*q = 5*q + 4*t + 18. Let j(i) = i**3 + 6*i**2 - 2. Let w be j(-6). Sort w, q, -3 in descending order.\nAnswer: q, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -773 + 5691?\nAnswer: 4b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y + 6. Let k be x(-1). Suppose 14*z = -k*z + 66. Solve 0 = z*h + 4, -24 - 6 = -5*m + 5*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9015 - 4808. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 520*z**3\/3 + 519*z**2\/2 + 509. What is the second derivative of g(c) wrt c?\nAnswer: 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 11:00 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l - 2 + 7 - 66*l - 5.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.9 - 13. Let r = -17868 - -17867.5. Which is the smallest value? (a) r (b) -2.3 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.94261 decades to months.\nAnswer: 9593.1132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6885 - 2274. Do 4611 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038207 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*c = -22 - 4, -2*c = 3*a - 106. Suppose -a*h - 36 = -38*h. Suppose -841 = -h*j - 220. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 236501 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20874930 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 307974775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166307840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742609?\nAnswer: 7, 106087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 5. Let n(l) = l + 1. Let u(j) = j. Let v(i) = 3*n(i) - 5*u(i). Suppose -12*d + 9*d = -1053. Let c = d + -361. Give c*v(p) - 6*t(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 - 5*i + 3. Let m be (-714)\/(-91) - (-6)\/39. Let p(x) = x**2 - 9*x + 11. Let a be p(m). Is 6 a factor of h(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -24, -40, -60?\n\"Answer: -2*l**2 - 6*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*q + 379 = 0, -2*j + 6*q = q - 197. What is the remainder when j is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m + m)*(3*m**2 + 0*m**2 - m**2) + 2*m**5 - 5*m**5 - 17*m**5 + 0*m**3 - m**5 + 0*m**3 + (4*m**4 + 0*m**4 - 2*m**4)*(-1 - m + 3*m + m).\nAnswer: -13*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 10212?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247.92 - -252.92. What is the nearest to 0.2 in x, 1.2, -6, 4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5\/5 + 3*s**4\/4 - s**3\/3 - s**2\/2 - 3. Let l(z) = -z**4 - z + 1. Let v(b) = -h(b) - 2*l(b). Factor v(c).\nAnswer: (c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uru. What is prob of sequence ru?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 18*p**3 + 16*p**3 + 0 - 5*p**2 - 2 + 5*p + 2*p**2 to the form x*p**2 + j*p + m + y*p**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {a: 2, p: 1, k: 1, z: 2, m: 1, w: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415907 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1230 (base 5) to base 14\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 305 + -853. Let j = 608 + u. What is the greatest common factor of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 = 243*f - 937 - 227 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32226631 - 0?\nAnswer: -32226631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -3) + (234 - 235)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15412838*n**3 - 5*n**2 - 15415266*n**3 + n + 5*n**2.\nAnswer: -2428*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d + 14. Let y(c) = 9*c - 28. Let s(n) = -11*b(n) - 6*y(n). Suppose -3*r + r = 0. Let l be s(r). What is the highest common factor of l and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 3 + 0*t**3 - 1\/2*t**4 + 0*t + 3\/2*t**2. Find the second derivative of q(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/16 - 1\/4. Suppose q = 3*x - 2*f + 4, -3*x - 2*x + 2*f = 4. Suppose x = g - 0*g - 3. Solve 2*n - g = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let q(s) = 2*s**3 + 3*s + 2. Let g be (-2)\/5 - (-17)\/5. Suppose -7*y + 2*y = -10. Suppose -g = -y*w - 9. What is w*k(o) + q(o)?\nAnswer: 2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 18, 84, 226, 474, 858, 1408?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4243 (base 8) to base 16.\nAnswer: -8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99470.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4*j + 8*a**2*j**3 + 634*a**2 - 3*a*j**3 + a*j + 2*j**3 - 27 wrt a?\nAnswer: -24*a**2*j + 16*j**3 + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 550.8 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 + 13 = 0. Suppose k + 2782 = h*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -32. Let a(w) = -4*w**2 - 1. Let u(d) = -5*d**2 - d - 2. What is c*u(n) - 3*a(n)?\nAnswer: 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 2*h**2 + 12*h + 2. Let u(f) be the second derivative of f**5\/2 - 7*f**4\/12 + 37*f**3\/6 + 7*f**2\/2 - 1588*f. Calculate 2*u(y) - 7*v(y).\nAnswer: -y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137153, -137152, -137151, -137150?\nAnswer: -137149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 7*o - 8. Let d(q) = -q**2 - 18*q - 11. Let u be d(-17). Let v(w) = 15*w**2 + 13*w - 15. Let m(f) = u*v(f) - 11*l(f). What is m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 15*b + 56. Let x be k(-8). Suppose -16*g + 22*g - 720 = x. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 times 0.5\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23310 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 15) to base 3\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-4)\/(-1)))\/(((-5130)\/(-12))\/15)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464889 and 68801?\nAnswer: 49743123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1875 (b) 132 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s - s + 5*s)*(-4*s + 4*s + 2*s**2) + 2*s**3 - s**3 + 0*s**3 - 4 + 2*s**3 + 1 + 4.\nAnswer: 43*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-5) - (-2)\/5. Let h(w) = -w - 5 + 3*w - w - 5 - 3*w**3 + u*w**2. Let a be h(10). Round a to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-1)\/(-3)))\/(1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*5)\/(-3 + 1 + 1). Let t(h) = -d - 17*h - 2 + 19*h. Does 4 divide t(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15685 + -15687. What is the third biggest value in 0, n, 8\/115, -1\/9, -0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 + (-352724)\/(-80). Let b = 4412 - z. What is the common denominator of b and -109\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 233*a*w**2 - 212*a wrt w?\nAnswer: 466*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -610*-33\nAnswer: 20130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - h**4 - h**4 + (2*h + h - 4*h)*(4 - 2*h**3 - 4) + 25*h**4 + 9*h**2 - 9*h**2 + 1757*h + 1754*h - 3511*h + 715*h**4.\nAnswer: 741*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.306 - -7.306. Which is the fourth smallest value? (a) -95 (b) 0.2 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24852686 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 132 + 2 + (0 - -2). Let c = -133 + q. Solve -c*t = -2*k - 0*t - 7, -2*k = 2*t - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g**2 - g. Let q(h) = -h + 15. Let u be q(12). Suppose u = -f + 4. Is 7 a factor of n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27439281 and 0.4.\nAnswer: 10975712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Let s = -95 + 100. Let x = 5 - 4.5. Which is the closest to -1? (a) x (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 19. Find the common denominator of 3 + (-4 - (-4)\/b) and -51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k - 55 = -93*k. Put -3.6, 2\/11, k in increasing order.\nAnswer: k, -3.6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 - 11 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 644171 = 644169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 - 8 - 2 + c**3 + 8*c**2 - c**2 - 2*c. Let q(n) = -8*n**2 - 142*n - 109. Let f be q(-17). What is p(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 9\/43, -12\/13, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*h + 31*h + 40660 = 0. Put 0, 1, h, -5 in decreasing order.\nAnswer: 1, 0, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - (1 - 1))\/1. Let m = n - 3. Suppose m*d + 27 = 4*i, 5*d = i - 3*i + 7. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*f**3*p**6 - 28*f**3*p**2 - 2*f**3 - 18*p**6 + 8*p**2 wrt p.\nAnswer: 3360*f**3*p**3 - 2160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 - 0.266. Let r = 7.25 - 7. Let d = m + r. Round d to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**6\/50 + 168*j**5\/25 - 339*j**4\/10 + 68*j**3 - 681*j**2\/10 + 13*j - 3. Suppose l(t) = 0. Calculate t.\nAnswer: -227, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 24*l**2. Let u(j) be the third derivative of j**7\/2520 - j**5\/15 - 7*j**2. Let f(v) be the third derivative of u(v). Calculate a(f(s)).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 2*s**7\/105 + s**5\/20 + s**3\/3 + 15*s. Let t(z) be the second derivative of y(z). Find the second derivative of t(k) wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*r + 28 = 0, 9*i + r - 5 = 12*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21\/4, -1, 51, -2 in decreasing order.\nAnswer: 51, 21\/4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1617438819 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 20*j**2 + 18*j - 17. Let w be z(-19). Find m, given that -1\/5 - 1\/5*m**w + 2\/5*m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmmmxwfmewwmmmwemx. Give prob of sequence wed.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -12612937\/162 + 77857. Find the common denominator of (-186)\/248*(2 - 26\/81) and n.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -43. Suppose 0*x = 4*x + 16. Let p = x + r. Sort 1, -2, p in descending order.\nAnswer: p, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a factor of 130768678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 2*w**2 + 2*w - 2. Let h(k) = -4*k**3 - 2*k**2 - 2*k + 3. Let x(y) = -4*h(y) - 5*n(y). Give x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1287236, -1287237, -1287238?\nAnswer: -1287239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*n, -4*g = n - 0*n - 9. Find the third derivative of -2*b**2 - 13 + b**4 - 6*b**4 + 27*b**g + 3*b**4 + 5*b**2 wrt b.\nAnswer: -48*b + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*c = -c - 14, 3*c + 10 = 4*i. Suppose 54 = -2*j - i*j. Let z be (0 + 16\/6)\/(1\/j). What is z rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933116031 <= 933116029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2593540*c + 271576*c - 1955856*c - 927310*c.\nAnswer: -5205130*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 1282, 1399, 1554, 1741, 1954, 2187?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/36*16\/4. What is the third biggest value in o, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i*q**5 - 75*i*q**3 + 865*i - q**2 wrt q?\nAnswer: 360*i*q**2 - 450*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 64 - -12 - (1 - 12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -950 + 950.2. Let i be 80\/36 + -2 - 0. Which is the nearest to -2? (a) d (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004408 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4 - 5*v**5 + 18*v**4 - 12*v**3 - v**3 + 5*v**2 - 2*v**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z = -12. Does 15 divide 134\/z - (-5)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-4)*-113*8\/(-300) and (6\/25)\/((-9)\/(-10)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a + 5. Let h = 3074 + -3071. Let s(n) = 9*n + 5. Determine h*s(o) - 4*y(o).\nAnswer: -5*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(-15\/2)))\/o*o**(-4)*o)\/((o*o\/(o**(-14)\/o))\/o**(-3\/5)))**24 assuming o is positive.\nAnswer: o**(-3492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 2*i + 2, -5*i = -o + 9. Sort 0, -6, 5, o.\nAnswer: -6, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 + -220. Let f = x - -98. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -887.628 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*f - 5*m = 514*f + 7, -3*f - 5*m = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Suppose -237 = -v*d + 5*f, f = -2*d - f + 142. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 19*g**2 + 9*g - 65. What are the prime factors of o(18)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, j: 10}. What is prob of sequence jj?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:49 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1114467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/78 and 31\/182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)\/(v\/(v**(2\/7)\/v))*(v\/(v\/(v**(-1)\/v))*v*v)**(-28) assuming v is positive.\nAnswer: v**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96377\/18 + 5352. Let u = t + 16\/9. What is the biggest value in -0.3, -5, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/3*27\/(-36). Solve 3 = 2*y + m*g, 5*y + 3*g = 5*g - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 18*l**2 + l + 5. Determine a(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + f**5 - 3*f**5 + (f**4 - 3*f**4 - 5*f**4)*(5*f + 3*f + 2*f).\nAnswer: -69*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2449736171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -123516 divided by -3?\nAnswer: 41172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 - 395. Let j be -1*1 - 15572\/76. Let o = j - g. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h - 6. Let p be k(5). Suppose 0 = p*o + 5 - 49. Calculate the common denominator of -9\/11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 18\/1916395?\nAnswer: 18\/1916395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k + 9. Let v(a) = 18 - 12 - 2*a**2 + 19*a + 0*a. Let c(z) = 6*b(z) - v(z). Find the second derivative of c(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-767)\/(-8) - (-1)\/8. Suppose -16 = -j - 4*n, 4*j - 2*n + 24 = 70. What is the greatest common divisor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18520 and 719000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:31 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 19 = 6. Let b be (-320)\/c + (-2)\/(-10). Solve -2*m = -4*l, -5*l = m + 3*m - b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) - -3 - 2\/2. Solve -v*n + 5*p + 31 = 0, 3 + 4 = 4*n + p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9532, -19065, -28602, -38143, -47688, -57237?\nAnswer: -66790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -388406\/15 + 25906. Let c = 943\/105 - i. Let j = -6\/607 + -25464\/3035. Find the common denominator of j and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 109252*q + 4807091. What is t(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 261 - (-10 - 98).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 37. Let b = -9 - v. What is the units digit of (b\/(-6))\/((-16)\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140911309 and 16?\nAnswer: 2254580944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjjrhjmjhhhhhh. What is prob of sequence mjj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/100 and 43\/16069140.\nAnswer: 80345700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95699*u + 18458 = -94021*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3046, 5, -6 in increasing order.\nAnswer: -3046, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 24*h**2 - h - 46. Let k be u(-24). Let x be (3 - k\/(-8))*(-11 + 11). Solve 0*j + 5*j - 5 = x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -165*d + 1436. Let f be s(6). Sort -5, f, 2, 0.1 in decreasing order.\nAnswer: f, 2, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - 14*t + 7. Let n(f) = 3*f**2 - 10*f + 5. Let h(q) = 5*a(q) - 7*n(q). Let w(x) = -39*x. Determine h(w(y)).\nAnswer: -1521*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - i**2. Suppose -2*f - 3*r - 23 = -0*r, f + r + 11 = 0. Let m(n) = -4*n**3 + 5*n**2. Calculate f*x(a) - 2*m(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w. Let g be w + -4*1\/(-2). Let o = 2 - g. Solve -2*c = 2*z, -2*z = -c - o*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 20 + 20. Calculate the remainder when 57 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -28.64. Let s = q - -0.04. What is the third smallest value in 5, s, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12 - (-21)\/9. Let l = 631 + -631. Solve i*f - 6 + 0 = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 34 = -2*q - 0*h, -5*q + 55 = -5*h. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/20 + c**4\/2 + 7*c**3\/6 + 3*c**2\/2 - 3*c - 40. Let a(d) be the first derivative of k(d). Calculate a(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.214 - -0.814. What is the closest to 1 in 4, -3, 8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 1)*(0 - 4 + 6)*(-116*u**2 - 214*u**2 - 69*u**2 - 73*u**2).\nAnswer: -7552*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1122 = 2*p - 6*i, -2*p + 3*i + 1137 = 0. Suppose -2*l + p = -5*m, 3*l - 2*m = -6*m + 892. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 423.03.\nAnswer: -423.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617 + -298. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 57*o**2 - 22*o + 5. Let q(n) = 56*n**2 - 25*n + 6. What is -4*m(y) + 3*q(y)?\nAnswer: -60*y**2 + 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -884\/7 - -126. Let x = -7 - -12. What is the third smallest value in 1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o + 17*o - 25*o + (-3 - o + 3)*(-2 + 4 - 4) - 4*o + 5*o - 2*o)*(-22 + 5 - 3)*(-6 + 1 - 3 + (-3 + 2 + 3)*(-1 - 2 + 4)).\nAnswer: 2040*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4497 < -4500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 127 and 0.159 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 48788*a - 8055024.\nAnswer: 2*(a - 24558)*(a + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 27. Suppose -2*f - 6 = 2*p, f + y = -0*f. What is the third derivative of 3*i**4 - 5*i**4 + 11*i**p - i**4 + 0*i**4 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = -4*q + 57. Let m = q + -28. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -48*k - 9. Which is the biggest value? (a) -9 (b) 0 (c) -6 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 3*h**2 - 1. Let o(y) = 1996*y**3 - 3*y**2 - 1. Give -j(s) + o(s).\nAnswer: 1997*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-3 - -4)) + 3 - 23\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -22, 0.4, -0.2, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.4, 0.01, -0.2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 13 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/120 and 57*(44571\/(-2970) - -15).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 6 (c) -3 (d) -5\/2 (e) 0.009 (f) 156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 23. Suppose 8 + 20 = p*g. Suppose 38 = 2*v - g. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**2 + 12*g + 24. Let q(i) = -4*i**2 + 5*i + 10. Let t(j) = 12*q(j) - 5*u(j). Let m(w) = 37*w. Calculate m(t(n)).\nAnswer: 74*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23450284901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1391594 at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24140 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -442040?\nAnswer: 442031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8614991 years in months?\nAnswer: 10.3379892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/4 - 53*c**2. Let m(v) = 0*v + 0*v - 2*v. Give m(s(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-235)\/1269)\/((-15)\/(-18))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 1, k: 1}. Give prob of sequence sk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)\/(12\/(36\/(-6))). Suppose 10*s - 379 - 281 = a. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2. Suppose -8*j + 13*j - 55 = 0. Let d(t) = 3*t**2 - 2 - 9 + j. Calculate d(f(m)).\nAnswer: 108*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1463 (b) -4 (c) -0.1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 982549391065?\nAnswer: 982549391065.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 - 27*n + 119*n - 35*n - 28*n - 30*n.\nAnswer: -n + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56466 = -1832*m + 9486 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyarjattttlyy. Give prob of sequence rjy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.065 + -8.735. Let d = -9 - z. Let i be 2\/(-15) + -62*(-8)\/120. Which is the closest to 0.2? (a) i (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 + 7038\/(-138) - 133?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 99279 divided by 3\nAnswer: 33093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1080\/144)\/(10\/6)*130\/15?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0403 - -2.0403. Let l = -1 + g. Which is the second smallest value? (a) 69 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/26)\/((-3383)\/(-43979)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 0*d**2 - d**2 + (4*d - 5*d - d)*(-1 - 2*d + 1) + 3*d**2 + 1 - 1 + (-3*d - 2*d + 4*d)*(-2 + 6 - 2 + 15*d).\nAnswer: -9*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x*x**(5\/4))**(-2\/83)*(x*x\/(x*x**(-1\/4)*x)*x*x**(-5))**(1\/29) assuming x is positive.\nAnswer: x**(-2463\/9628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4630?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 - 2*l**3 + 0*l**2 + (-17*l**2 + 3*l**2 - 28*l**2)*(1 - 1 - l) + (-2*l**3 + 5*l**3 - l**3)*(-3 + 0 + 1).\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 not equal to -12083482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 1, h: 1, d: 2}. Give prob of picking 2 h and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101866418?\nAnswer: 2, 1201, 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 8 - 6)*(17*h - h + 0*h) to the form j*h + s and give j.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 8*r - 6. Calculate v(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01441 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 - 6*m + 7. Let a = -95 + 125. Suppose 5*k - a = -3*d, -2*d + 6*d - 26 = -2*k. Give h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453500 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*-1*8\/(-32)*4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8738, -8736, -8720, -8684, -8622, -8528?\nAnswer: -8396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115 + -6015765?\nAnswer: -6016102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -2.66.\nAnswer: 95.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8562\/1723 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 27*n**3 + 9*n**3 + 2*n**3 + 6*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 + 29 = 0. Let p = 108 + -105. Calculate the remainder when h is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166170737 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + i - 54 = 0, 8*j - 7*j - 283*i + 282*i + 20 = 2 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072578561 to six decimal places.\nAnswer: 0.007258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23309 + 23313. Solve 0*c + 2*c = 2*t - 2, z*c = -2*t - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5345, -21397, -48181, -85721, -134041?\nAnswer: -193165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1905, -1902, -1899, -1896, -1893, -1890?\n\"Answer: 3*g - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (36\/((-16)\/(-4)))\/(12\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.638 and 454.\nAnswer: 443.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -34*u**2 + 16*u - 8. Let a(g) = 29*g**2 - 14*g + 7. Let c(k) = 7*a(k) + 6*q(k). Suppose 5*l + 4 = -6. What is c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 32*m**2 - 198*m + 575. Let f be l(25). Suppose -2*v + v = 3. Put v, f, -35 in decreasing order.\nAnswer: f, v, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-596)\/148 + 4)\/(6\/(-282)) and (-16)\/50*585\/(-18).\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + 7. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*j = -11 + 3, 4*j + 8 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1158045 and -191\/1856100.\nAnswer: 532700700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*p + 1. Let t(v) = v**2 - 4*v. Let g be t(p). Suppose -x + 3*o + 11 = -o, 2*x - 4*o - 14 = g. Solve -j - 3*j = 4*u - 12, -x*u - j = -7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 17*y + 5. Let o be b(-17). Suppose o*g + 26 = -3*u - 0*g, -5*u - 2 = -2*g. What is the remainder when 57 is divided by u*8\/((-16)\/15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/30)\/(41\/(-369))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4082 + 105 + 152)*(-2*q**4 - 2*q**4 + 0*q**4).\nAnswer: -17356*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26448 and 14877?\nAnswer: 238032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -11*j + 146 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(378)*2*-1)\/sqrt(7))\/((sqrt(288) - sqrt(288)*3) + sqrt(288) + (sqrt(8) + sqrt(2))*3 + sqrt(2)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.074 - 0.07367. Round d to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 26 = n - 4*m, 4*n = 4*m + 56. Suppose n*v = 13*v. Solve -z + 5*f + 6 = 0, v = 4*z - 7*z - 4*f - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 4*s**3 + 5*s**2 + 0 + s + 5 + 3*s. Let n be l(-4). Suppose -n*r = 3*v - 40, 5 = 4*v - 4*r + r. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -792315, -1584660, -2377005?\n\"Answer: -792345*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 8 + 2*a - 14.\nAnswer: 2*a + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i + 2*v - 27, 0 = 3*v - 9. Calculate the lowest common multiple of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 - (2 + -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 a factor of 15710460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 27*j - 32*j - 4*k, -22 = -5*j + 4*k. Suppose 3*u - 40 = -2*u. Solve j*q + 2 = u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 + (-15616680)\/140)*(-7)\/4*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.54 - 0.09.\nAnswer: -42.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeeabeqqabeeee. What is prob of sequence beqa?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 168*x + 1684. Let j be b(-10). Solve 5*v = 3*v + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a - 3*u - 75, 0 = -13623*a + 13625*a - u + 14 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*u - 2 = 0, 2*m + 6*u + 2 = 3*u. Calculate the remainder when ((-297)\/12)\/3*(m + -14) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9564 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3807900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2444, 4906, 7368?\nAnswer: 9830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1414 + 54?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 5*y**4\/24 - 775*y**2. Let k(c) = -c + 2. What is b(k(d))?\nAnswer: -5*d + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*h + 110*h + 199 - 643 - 2*h**2 + 40*h + 95*h.\nAnswer: -2*(h - 111)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/253912 and -45\/748.\nAnswer: 2793032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37661317?\nAnswer: 97, 157, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/6956, -5, -8 in decreasing order.\nAnswer: -1\/6956, -3\/5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 493942380.2 and 29.\nAnswer: 493942409.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -27046 greater than or equal to -27046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + d - d)*(-2 + 6 + 1)*(-2*d + d + 0*d) as s + r*d + a*d**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 35493*h - 35508*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*1*6\/(-30). Solve g = -5*x + 20 + 20 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 u when three letters picked without replacement from mokun?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**6\/15 + q**5\/6 + q**4\/18 - 5*q**3\/9 + 2*q**2\/3 + 6*q + 3. Let r(y) be the first derivative of h(y). Solve r(i) = 0 for i.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 420528870 to the nearest ten thousand.\nAnswer: 420530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 21 = -3*v - m, -344*m = -350*m + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 2*p**2 - 176 + 105 + 5*p**2.\nAnswer: 3*p**2 - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, -0.023, 2.1, -5, 2\/21 in increasing order.\nAnswer: -5, -1, -0.023, 2\/21, 2.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 k, and 2 p when four letters picked without replacement from vpvkkpppvppvmp?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1685*k**2 - 26. Let m(l) = 1465*l. Calculate m(h(d)).\nAnswer: -2468525*d**2 - 38090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -23958, -1, -3, 0 in descending order.\nAnswer: 0, -1, -3, -23958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 624710819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 7. Let g be p(-4). Let x(r) be the first derivative of 0*r + 1 + 2\/9*r**g + 0*r**2. Determine w so that x(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let l be a\/7 - (-195)\/21. Solve -4*x + x + l = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 6)*(0 + 0 + c) + (1 + 0 - 4)*(4*c - 4*c + c))*(-12 - 6 - 35)*(1 - 5 + 3) to the form b + w*c and give w.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7 = -2*f. Calculate the lowest common multiple of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 663962.88\nAnswer: -663962.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -946565*d**2 - 2*d. Let c(a) = -20*a. Give c(p(s)).\nAnswer: 18931300*s**2 + 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -47. Let z = n + -51. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20313242 - 4?\nAnswer: -20313301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2. Let j(t) = -1010*t**2. What is j(r(i))?\nAnswer: -4040*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 + u**4\/2 + 3*u**3\/2 + 2*u**2 + 27*u. Factor d(i).\nAnswer: (i + 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 70. Suppose -m*w + 4*g - 12 = 3*g, 4*g - 12 = 3*w. Let o be (w - 117\/(-30))*6. Which is the biggest value? (a) 2\/5 (b) 2 (c) o (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 c, and 1 i when three letters picked without replacement from {j: 2, z: 2, l: 2, i: 1, r: 1, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 10*t + 28. Let r be k(12). Solve b = -3*g + 11 + 1, -r*g + 16 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 - 13520*j**4 - 27052*j**3 - 13528*j**2.\nAnswer: 4*j**2*(j - 3382)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00365044144 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33878899 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*y - 34003 = 116*y. Sort y, 1, -5 in descending order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -110101100001010011?\nAnswer: 110101100001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.34 + -2.26. Let p = -1.6 + 1.2. Let h = p + a. What is the third smallest value in -0.2, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/(((u**(-7)*u)\/u)\/u))\/(u**10\/u*u**(-9)*u))**47 assuming u is positive.\nAnswer: u**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 + 3799*g**3 - 8841*g**2 - 8851*g + 3792 = 0. What is g?\nAnswer: -1, 1\/3, 3, 1264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(16 - (-5129)\/(-322))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058299352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 2. Suppose -3 = q, 4*t - 11 = -4*q + q. Let l be g(t). Calculate the greatest common factor of l and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1068*y - 15. Let a be r(-2). Let p = 19411\/9 + a. Calculate the common denominator of 7\/3 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 175 - 49 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 806471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -70.7. Let t = p + 8.3. Let w = 1\/4 + 0. What is the nearest to t in -2\/13, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43779.3 millilitres in litres?\nAnswer: 43.7793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 96760*j + 294310800.\nAnswer: 5*(j - 15572)*(j - 3780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -11a9?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 7. Let l(j) = j**2 + 6. Let o be l(0). Let g = 1 - o. Which is the third biggest value? (a) -0.3 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))\/(j*j**(2\/17)))**9\/(((j\/((j*j\/j**(-2\/3)*j)\/j))\/j)\/(((j\/j**(-9\/4))\/j)\/j))**(-18\/11) assuming j is positive.\nAnswer: j**(-20697\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -557*w - 402. Does 123 divide k(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156*-28.\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -517, -1031, -1545, -2059?\n\"Answer: -514*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/14 - 2\/7. Let m(j) = 4*j**3 - 10*j**2 + 10*j + 10. Let c(q) = -q**3 + 2*q**2 - 2*q - 2. Let o(w) = r*m(w) + 14*c(w). Factor o(f).\nAnswer: -2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 2432.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003 + 2079 + (-1 - 41)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3420 and 38380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 718760 and 82144?\nAnswer: 2875040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 6:37 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13580784 divided by 1\nAnswer: -13580784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 51968 = 36*s. Suppose -129984 = 7*m - 2*m - 4*n, 0 = m - 4*n + s. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.03. Let g = 0.37 + i. Which is the third smallest value? (a) g (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:53 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/60 - 3*b**4\/16 + 63*b**2\/2 + b - 229. Let a(x) be the second derivative of q(x). Suppose a(m) = 0. What is m?\nAnswer: -9\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1, -2\/17, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**3 + m. Let q(a) = -53*a**3 - a**2 - 5*a. Let k(x) = -9*c(x) - 2*q(x). Let p = 220 + -221. Is k(p) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/96, 2, -3\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/17 and 28\/15937.\nAnswer: 270929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 247.9 (b) -1.132 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 411877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 449377.5 years in centuries?\nAnswer: 4493.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3573, -363 in decreasing order.\nAnswer: 3573, 1, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1216850731 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 12:29 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -1730.3, -0.4 in increasing order.\nAnswer: -1730.3, -4, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -370055761 rounded to the nearest 1000000?\nAnswer: -370000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {e: 3, w: 2, s: 2, n: 6, q: 4}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 1, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2448*b - 4415. What is the hundreds digit of i(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8, -4\/5, 2\/13, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42678035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -0.07, -5 in descending order.\nAnswer: 0, -0.07, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/110)\/((-1)\/(-149456789)). Let s = 6792010 - c. Let l = 1478 + s. Calculate the common denominator of -139\/18 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65870341 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 53 + 8 = 2*a, 3*g + 168 = 5*a. Let u be 10393\/9 + (-10)\/(-45). Suppose 7*n - 2*n - u = 0. What is the greatest common divisor of a and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 10*k**2 - 15*k - 2. Calculate the remainder when 161 is divided by t(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 110 + 31*c - 63 - 2774*c.\nAnswer: -2743*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6054 is divided by 124?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and -13.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 n, and 1 u when four letters picked without replacement from {c: 1, t: 1, n: 1, m: 1, u: 1, h: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 79. What is the closest to u in -4, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1174 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 19. Let q(r) = -5*r + 76. Let k(a) = 4*q(a) - 18*x(a). Let t be k(-20). Determine f, given that 0*f + 2\/7*f**t + 0 + 2\/7*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l. Let v be w(-1). Let m(n) be the third derivative of n**4\/8 - n**3\/3 + 2*n**2. What are the prime factors of m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - d**2 + 20 + 50 + 2110*d**3 - 37 to the form q*d + c*d**2 + w + k*d**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 35 - 47 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 times -0.1143?\nAnswer: -10.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13883 is divided by 176.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u + 2. Let n(z) = z**3 - 3*z**2 - 7*z + 15. Let q be n(3). Let d(m) = -4*m + 3. Let o be d(2). Sort 0, q, o, u in decreasing order.\nAnswer: 0, u, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2\/15, 0.5, 1\/5, 0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43520.51km in millimeters?\nAnswer: 43520510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 9 + -2 + -18 - -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 divided by 2?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/7))\/g**16)\/(g**(-2\/5))**27 assuming g is positive.\nAnswer: g**(-132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11560 - -1194. What are the prime factors of t?\nAnswer: 2, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(6\/15). Let x be (-5)\/2*(-20)\/25. Do x and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11276 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -0.5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -0*y - 2*a, -4*y = 5*a - 37. Suppose 3*p + 6*t - 5*t = -64, -y*p = 4*t + 67. Let h = p + 55. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 - 338*c - 185. What is u(-69)?\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004411537 rounded to 7 decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15, 0.6 in decreasing order.\nAnswer: 15, 0.6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.02, -7, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*l - n + 34, 0 = 4*n - 4. Suppose h - 2*s - l = 0, 4*s + 0 = -2*h - 2. Suppose h = -2*m + m. Sort -1, m, -4 in decreasing order.\nAnswer: -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from ktvuvkvytvvhvvvkh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 + 127?\nAnswer: 126.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 529 = 6*x - 3*x, -4*m = -16. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 136999*x - 10. Let t(n) = 6*n - 1. Let g be t(1). Suppose 25 = -3*b - g. Let o be q(b). What is o rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**7\/1260 + h**6\/180 - h**5\/60 + 41*h**4\/12 - 5*h. Let p(s) be the third derivative of m(s). Determine p(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-6))\/(770\/(-2156))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*r = 7, -r - 6 = 2*r. Which is smaller: -52\/19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (2 - 6)) + 1 + (95 - 104) + 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 15\/2 - ((-2)\/(-18) - (-2107)\/882)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 4*b - 2. Let n(a) = -2*a. Let r(t) = i(t) + 2*n(t). Let k(m) = -6*m**2. Give r(k(v)).\nAnswer: -36*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5761 + -2616. Calculate the lowest common multiple of k and 10.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**3 - 6*k**2 - 7. Let l(s) = 8*s**3 - 7*s**2 - 8. Let i = 0 - 6. Suppose 20*f = 15*f + d + 32, 4*f = 5*d + 13. Calculate f*j(q) + i*l(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j**6)**(-10))**(-3) assuming j is positive.\nAnswer: j**(-1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-2\/3)*b)*b*(b*b*b*b*b**(2\/7)*b)\/b)**(-13) assuming b is positive.\nAnswer: b**(-1898\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1231300103 (base 4) to base 14\nAnswer: -b9b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -273, -442, -643, -882, -1165, -1498, -1887?\nAnswer: -2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 6*v + 4. Let p be h(3). Suppose 2*r + 1 = p. Solve -7*o + 10*o = -r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25518 is divided by 125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -74. Let p = o + 121. Calculate the remainder when p is divided by 0\/(-1) - (-35 + 12\/2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -122*q + 125*q. Solve 3*w + q = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((164052\/4158)\/(-434))\/((-1)\/(-1))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 80 = -13*o. Solve 6 = o*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 - 5*u**2 + 5*u + 2. Let f(r) = -11*r**3 - 8*r**2 + 8*r + 3. Calculate 5*f(x) - 8*y(x).\nAnswer: x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2560 and 26560.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsmm. What is prob of picking 1 v and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36247604 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -3*w - 2*n + n, 4*n = -3*w + 883. Suppose -4*a - 657 = -5*d, a + w = -a - 3*d. Let t = 226 + a. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00796914081 rounded to five decimal places?\nAnswer: 0.00797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762644.\nAnswer: 2, 690661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*c + 186*c + 7686 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2127.3 in -2, 0.2, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + d + 7. Let v(j) = 3*j**2 - j - 7. Let x(n) = n - 3. Let s be x(6). Let u(o) = s*v(o) + 2*h(o). Give u(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 99 = -9*y. Let i = y + 143. Calculate the highest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.8819 minus -289253978?\nAnswer: 289253791.1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/5)\/k**(-3\/8)*(k\/k**(2\/9)*k)\/(k*k**(1\/2)) assuming k is positive.\nAnswer: k**(91\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 685*n**2 + 685*n**2 + 4*n**3.\nAnswer: 4*n**3 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**3*u**2 + 13*k**3 + 4*k**2*u + 804*k*u**2 + 50*u wrt u?\nAnswer: -10*k**3 + 1608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/1 - -5)*6. Suppose 4 = -t*f + 28. Let w(v) = -3*v - 2. Determine w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*t**3 + t - t + 162*t**3.\nAnswer: 489*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k - 17. Let m be n(3). Let y be (-14)\/(-6) + 3\/(-9). Solve 0 = -g - 4*v + 23, -v + m = y*g - 2*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4739, -19012, -42801, -76112, -118951, -171324, -233237, -304696?\n\"Answer: -s**3 - 4752*s**2 - 10*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 - 55*m**4 + 8*m**2 + 57*m**4 + (-3*m**3 + 3*m**3 - 2*m**3)*(-m - 2 + 2).\nAnswer: 4*m**4 + 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -749 + 1049. Suppose -5*h = 5, 2*v - 2*h + 0*h = b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -213 in -0.3, 0.1, 1\/6, 4\/3, 42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31407451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + (2 - -1)) - (6 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*q + 2853 = -4383. Calculate the remainder when 1401 is divided by q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/3 + 45*g**2\/2 + 7*g. Let n be p(-20). Solve 0 = -n*f + 10 - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, 214, 1075, 2748, 5503, 9610, 15339, 22960?\nAnswer: 32743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:30 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 1, z: 4, i: 2, u: 3, x: 2}. Give prob of picking 1 v and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2 - 0. Let x be (y\/(-3))\/(4\/(-72)). Find the second derivative of x*p - 2*p + p**2 - p - 2*p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2 - 6*f - 5. Let c be v(-5). Let b be 1*3\/6*c. What is the closest to b in 0, -2\/11, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*t - 1. Let q(k) = 2*k**2 - 15*k + 7. Let l be q(8). Solve -t*v + v = -l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 - 9*x - 15. Let u be r(-8). Let k = -113.6 + 104. Let n = 10 + k. Which is the smallest value? (a) u (b) 1\/11 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3003000 (base 4) to base 14\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9125*i**2\/4 - 9135*i\/4 + 5\/2 = 0. Calculate i.\nAnswer: 2\/1825, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Let y be l(3). Let q = -39.9081 + 0.0081. Let s = -40 - q. What is the closest to s in -3\/2, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 1 + (2 - 3). Let k be -2 + 0\/(c + -1). Is -2 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8 - z**2 - 6*z**3 + 7*z**3 + 3*z + 7*z - 34*z - 17*z. What is the remainder when 28 is divided by p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y - 142. Let h be 1\/(-4) + (-5 - 260\/y). Let a be 0\/(2\/(-2) + 0). Does a = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*j - 283*j - 209*j - 279*j + 1338*j - 264*j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(288)\/(sqrt(216)*2 + sqrt(216) - sqrt(216))*6 + -3)**2*-4.\nAnswer: -1764 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/g)\/((g*g**5*g*g*g)\/g*g*g*g*g*g)*g**(7\/5)\/(g*g**(-4\/17)) assuming g is positive.\nAnswer: g**(-456\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -54817265 and 2220.12.\nAnswer: -54815044.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(39)\/(sqrt(162)\/sqrt(6) + sqrt(3) - sqrt(3))*3*6 + -3.\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 95297.958 minutes?\nAnswer: 9.4541625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -590 + 589. Which is smaller: y or -1\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21365102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5145*c = 4968*c + 22479. Let u be (1 + 1)\/(1*-1). What is the remainder when c is divided by u + (-34)\/(0 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48960 by 2046.\nAnswer: -8160\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m = -74*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-58)) + 1261\/3783\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 8*j - 72 = 0. Let d(m) = -7*m**2 + 7*m. Let s(a) = -20*a**2 + 21*a - 1. Let g(h) = -17*d(h) + 6*s(h). Give g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-11)\/y*y)\/y*y**(-6\/11) assuming y is positive.\nAnswer: y**(-127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/13 + 11238*n**2\/13 + 3776680*n\/13.\nAnswer: 2*n*(n + 359)*(n + 5260)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 44. Find the common denominator of 73\/8 and 15\/(w\/(-4)*-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 577 - 257. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 28. Let d be w(-10). Suppose 20 = d*c - 3*b, 9 = 5*c - b - 15. Solve c*a - 3 = -19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -52. Let g = 23.8 + a. What is the nearest to -1 in 5, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y = -78*y + 520. Which is smaller: y or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 642596 by -4.\nAnswer: -160649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -8 in increasing order.\nAnswer: -8, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -4. Solve 2*o - m = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5, 5*g = 4*g - 2*k + 38. Suppose -b - t - 3*t + g = 0, 2*t = -2*b + 26. Solve 4*p + 3*w + 4 = -b, 5*p + w = -4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -142, -144, -148, -154, -162?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*k + 41*k - 35*k)*(3 - 3 - 3).\nAnswer: -399*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*-60*1\/(-4)*-1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24355169*c**2*s + 47871056*c**2 wrt s.\nAnswer: -24355169*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - a**2 - a. Let h(g) = -14*g**3 - 3*g**2 - 3*g. Let v be 1*3*(-348)\/(-261). Suppose -3*k = 2*k + 55. Determine k*z(u) + v*h(u).\nAnswer: -u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -40. Suppose 5*g - 4*g + 2 = l. Is g at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225314 + -334786. Round p to the nearest 10000.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5*i + 3*i)*(-41 - 54 - 37)*(3 - 3 + 2*i) - 3*i**2 + i**2 + 0*i**2.\nAnswer: -1322*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51714 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Multiply -24 and -3393.91.\nAnswer: 81453.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-4 + 9\/2). Solve a = -2*u - 3*b - 0, 3*b + 3 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7858.\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + 2*y - 32*y**3 - 2 + 22*y**3 + y**2. Suppose 0 = -3*h - 0 - 3. Let s be i(h). Calculate the highest common factor of s and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3636 and 4404.\nAnswer: 1334412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -189, -1711, -5889, -14055, -27541, -47679, -75801, -113239?\n\"Answer: -222*i**3 + 4*i**2 + 20*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3\/4 - 11709*v**2\/4 + 32100*v + 35028 = 0.\nAnswer: -1, 12, 3892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r**3 + 2669*r**2 + 984*r + 6013. Calculate b(334).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8350383 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 226*a - 5611. Calculate s(-28).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a factor of 685016517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:34 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)\/(((-5)\/(-60))\/(9\/(-27))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3556523?\nAnswer: 3556523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 2*y**2 - 3*y)*(2*y + 0*y + 0*y)*(181 - 239 - 242) to the form f*y**2 + n*y + q*y**3 + o and give q.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**17*l\/(l\/(l\/((l**(1\/5)\/l*l)\/l)))*l**(1\/14)*l*l\/(l*l\/(l*l**(-25))*l*l)*l assuming l is positive.\nAnswer: l**(-429\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 45*f**2 - 1355*f. Let n(o) = 5*o. Give n(r(d)).\nAnswer: 225*d**2 - 6775*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14541*k**3 - 139314*k.\nAnswer: 87246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(8)*2 + sqrt(2673)\/sqrt(11) - (sqrt(3600)*-2)\/(2*sqrt(108)).\nAnswer: 43*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 4 - 18. Suppose 0 = 5*g - 6*z + 10*z + 78, 38 = -t*g - 5*z. Which is greater: -59\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 - 4*r + 3. Let w be q(-5). Let i(a) = a**3 + 2*a**2 + 2*a. Let s be i(w). Let m(o) = o**3 + 4*o**2 - 2*o + 1. Determine m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024331128 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-28) + 11 + 66865\/35 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from njnnnjjjnhkjndnnn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1040895 and -169\/180.\nAnswer: 4163580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2915094718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y - 9*y + 3*y)*(-5*y + 3*y - 5*y)*(47 - 85 + 5*y + 49) in the form p + j*y**3 + x*y**2 + l*y and give j.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-45)\/740)*3. Which is smaller: -147 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/1964582*63\/(-42). Let m = -366385703239\/21610402 - z. Let q = -16957 - m. Calculate the common denominator of q and 39\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 7, -0.0288 in descending order.\nAnswer: 7, 3\/5, -0.0288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/46381?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*d + 2047, 3 + 2 = d. Let b = v + 527. Solve 0 = -b*s + 4*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740\/(-222)*(-18)\/(-120).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*a - 21 - 8 = 37 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 46 = 4*x. Let o(l) = l**3 + 8*l**2 - 8*l + 6. Let q be o(-9). Let m be -2 + 4 + q - -208. Calculate the highest common factor of m and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**6\/3 + 4*x**5\/5 - 62. Factor u(k).\nAnswer: 4*k**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(5 + 3 + 0)*(-h**3 + h - h) + (3 - 2 + 0)*(-h**3 + 6*h**3 - 3*h**3) + 2*h**3 - h**3 + h**3 + h**3 + 3*h - 3*h + 3*h**3 - 2 + 2.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4\/13 (b) -1\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726 divided by -1726?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1061255 + -618711504\/583. Let l = u - 5\/53. Factor -4\/11*d + l*d**2 + 4\/11*d**3 - 2\/11.\nAnswer: 2*(d - 1)*(d + 1)*(2*d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, f: 2}. What is prob of picking 4 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -84787 - -38\nAnswer: -84749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3721220.\nAnswer: 2, 5, 43, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 224, 286, 346, 404, 460?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0533169 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/14, -14423 in ascending order.\nAnswer: -14423, 3\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0 + 25. Suppose -4*n - n - 46 = -s, 10 = -w*n. Suppose 5*l + 0*x = 3*x + s, -16 = -3*l - x. Round l to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let f(c) = -c**2 - 16*c. Calculate f(x(r)).\nAnswer: -9*r**4 + 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -4037970?\nAnswer: 4037975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/4951 + -8812690\/44559. Let q = -198 - t. Which is the third biggest value? (a) 2\/7 (b) -5 (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07733 and 15477.\nAnswer: 15476.92267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(45)*2)\/(sqrt(99)\/(sqrt(11)*-2))*6.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q = 327 - 510 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30778, -61549, -92310, -123061?\nAnswer: -153802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j, 0 = -4*z - 2*j - j - 1. Suppose z*f - 739894 = 1060106. Round f to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -10, 8, 48, 116?\n\"Answer: u**3 + 2*u**2 - 11*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.3. Let i = -1.7 + q. Let u = 8 - 4. What is the smallest value in u, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/9 (b) 0.1 (c) -1 (d) -0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -86, -205, -404, -689?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 6*u - 16126 - 3275, 2*k + 12938 = 4*u. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*j**3 + 111*j**3 - 63*j + 44*j - 46*j**3.\nAnswer: 7*j**3 - 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/5 or -5\/1937?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1634, 3290, 4982, 6716, 8498, 10334?\nAnswer: 12230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6 - 14 - 3*o + o**3 - 2*o + 9*o**2 - 7*o. List the prime factors of j(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, j: 7, d: 5}. Give prob of sequence js.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-108)\/(-96))\/(1\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17539864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13385 - -13386. Put 3, -14\/13, -2\/7, j, 0.3 in descending order.\nAnswer: 3, j, 0.3, -2\/7, -14\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*r, -24*t - 5*r + 15 = -26*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8127128 rounded to 2 dps?\nAnswer: 3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -3, 4\/9, 2, 0.042, 14?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 237500*n + 25000. Let r(y) = y + 1. Let c(k) = -3*b(k) + 75000*r(k). Let v be c(8). What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 + 4*r + 38. Let s be v(-4). Solve 4*w - 6*w = 3*z + s, 3*z = -w - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/6 + -4 - -4)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-3*sqrt(245))**2 + sqrt(245) + 4 - -5*((sqrt(245)*1)**2 - sqrt(245)))*-5 + -1).\nAnswer: -85855 + 700*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1468*q - 54 = c - 1473*q, 3*c + 182 = 17*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r + 2. Let f be y(0). Suppose -2*i = 2 + f. Does 4 divide 18\/4 + 1\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 35*y**2 - 892*y + 32. Determine p(25).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - 7. Let w = -21 - u. Let c be (-9)\/12 + w\/(-8). Is -2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4621 + -3?\nAnswer: 461e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47547619 to the nearest integer?\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 28.52545us?\nAnswer: 0.02852545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 9*d**4\/4 - 5*d**2\/2 + 114*d + 248. What is the derivative of h(k) wrt k?\nAnswer: 27*k**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2635065, 2635066, 2635067, 2635068?\nAnswer: 2635069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 573031633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 4*k**3 + 32*k**2 - 3*k**2 + 6*k**2 + 10*k + 11 - 33*k**2. Give p(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 - 1755*o**2 + 52854*o + 990288 = 0?\nAnswer: -13, 46, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-230)*-10*1\/6*-59.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3852314?\nAnswer: 2, 1926157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -6*i + 297. Is i a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(0 - (-9527)\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 11111.\nAnswer: -3\/11111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/2 + 116756\/(-4848) - (-11)\/132?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b + 1\/60*b**5 - 41\/120*b**6 + 0*b**3 - 4\/3*b**4 + 0 + 18*b**2. Find the third derivative of o(u) wrt u.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = u - 7, -2*u + 2 = -8. Let i be ((c - 2) + 0)*-1. Let r be 4\/8*(0 - i). Solve r = -2*t + t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 214213740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g = 158*g + 6690 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -20*g**5 - 385*g**4 - 1895*g**3 - 450*g**2 = 0.\nAnswer: -10, -9, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 22232 - 22232 - 4*m**2 + m**2. Let g(v) be the first derivative of 0*v - 5\/3*v**3 - 2 + 0*v**2. Give g(z(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1 - 3 - v + 1. Let n be c(-4). Let f = -75\/17 + 491\/119. Do n and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2431 = 3*n + 8*n. Let r(o) = -o**2 - 19*o - 35. Let u be r(-16). What is the highest common factor of n and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2)*14812\/1127. Let z(b) = 8*b**2 - 368*b + 2. Let g be z(f). Solve -28\/17*d - 4\/17*d**3 + 24\/17*d**g + 10\/17 - 2\/17*d**4 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((0 - -2)\/(-2)). Let d = 2 - m. Suppose 2*i - 5*i = -3*g - 66, 3*g - 84 = -d*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 4*o. Let h(v) = -v**2 - 10*v - 19. Let l be h(-7). Suppose -l*a + 37 = 5*c + 9, -4*c + 4*a = 0. Let m be y(c). Solve m*k + 4 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -8\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) -1 (c) 2\/9 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1529, 69 in ascending order.\nAnswer: 3, 69, 1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3323013132 (base 4) to base 7\nAnswer: 11512521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 401 - 364. Suppose y = -o + 3*y, 0 = -3*o - 2*y + 8. What is the remainder when z is divided by ((-1)\/o)\/((-2)\/76)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let d(t) = 2*t**2 - 4*t - 384967. What is b(d(u))?\nAnswer: -4*u**2 + 8*u + 769934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 20*g - j = 8, 0 = 5*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090 + 1098 - 2188 + 70*p**2.\nAnswer: 70*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3*0\/(72\/8))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4134 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*v + 48*v - 54 = 0. Which is the closest to 29? (a) 3\/4 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/20)\/(18\/210))\/((-48)\/86832*-67).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 8. Let s be v(-7). Let o = 4 + s. Let b = 2509\/7 - 359. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t + 14*t - 5*t in the form v*t + p and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6 - 1 - 7 - 30*j. Let v(l) = -6*l - 3. Let z(o) = 3*g(o) - 14*v(o). Let s(u) = 5*u. Calculate -7*s(p) - 6*z(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 182.09583ns?\nAnswer: 0.000000000000301084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p. Let v be a(-1). Suppose 0 = 3*b - 6, 0 = -z - 4*b + 16 - v. Let y = z + -4. Let n(r) = r**3 - 3*r**2 - 5*r - 3. Determine n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 10*n - 7. Let b be k(-6). Let h(c) = -c**2 + 10*c + 10. Let r be h(8). Suppose -5*y - t + r = 9, 10 = y - 2*t. Solve y*u + b = -3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2499755*h**3 + 79134?\nAnswer: 7499265*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 24. Let i be (2 - (-10)\/(-4))*0. Suppose i = -2*a + 2 + 4. Calculate the remainder when a is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1684 - 1514. What is the remainder when u is divided by 62?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -101121202?\nAnswer: 101121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-18)\/(-16))*(-27)\/(-39). Let x = 42\/65 - r. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 46. Let n(l) = 3116*l**2 - 532*l + 532. Let v(x) = -35*x**2 + 6*x - 6. Let y(q) = -3*n(q) - 266*v(q). Determine s(y(r)).\nAnswer: 76*r**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7464918 micrograms to milligrams.\nAnswer: 0.0007464918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*6\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154298.\nAnswer: 2, 179, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/7 + (-43 - -41)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -772?\nAnswer: -7\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25989036677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 3, q: 1, t: 2}. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 4, r: 1, j: 1, w: 9}. Give prob of picking 2 z.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(-86)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q = 14*q + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 17 = -10*f. Let p be (-1)\/(2*f\/10). Suppose -2*g = 4*a + 4 - 24, 3*a - 2*g = p. Solve a = 5*l + 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 1104*b.\nAnswer: 4*b*(b + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -20*v**2 - 51 - 5\/3*v**3 - 80*v. Factor b(j).\nAnswer: -5*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.112 - -60.888. Let z = l - 58. What is the second smallest value in -0.1, z, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.054054 - 0.054. Round z to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-6) + 3)*4. Let h(a) be the first derivative of -1\/3*a**3 + a**2 + 3 + 3*a. What is h(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2557*i**3 - 11210*i**2 + 11210*i**2.\nAnswer: -2557*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4 - 2*z**3 + 24*z**2 - 8*z - 32 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.4942235 months?\nAnswer: 0.124518625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from kkkbkkkkkb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061342651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66745963 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/840*-6)\/((-2)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(16\/(-6) + 1066042\/399408). Which is greater: 2511 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951 divided by -169?\nAnswer: 1951\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096869.\nAnswer: 3, 59, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2020*k**2*n*u**3 + k**2*n*u - k**2*u**3 + k*n + 52*k*u**3 - 3*n + 2*u**3 + 2*u**2 wrt k.\nAnswer: -4040*n*u**3 + 2*n*u - 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14103 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(77\/4))\/(6\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 15) to base 16\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:49 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -67*y**2 - 7 + y**3 + 30 + 56*y**2 + 8*y. What is the remainder when 26 is divided by j(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*w + 15, -2*t + 5*w - 1 + 11 = 0. Let k be -9*(t + (-4)\/(-1)). Solve -3*z = -6*z - k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-l - 2*l + 4*l) - l + l - 2*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1202051*g + 511363?\nAnswer: 1202051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/61668 and -11\/10278?\nAnswer: 61668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 54, 110, 186?\n\"Answer: 10*w**2 + 6*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:00 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaoaoaaaaooo. What is prob of sequence oaa?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542929869 to the power of 1\/2, to the nearest integer?\nAnswer: 50427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/417? (a) 2\/11 (b) 0.1 (c) 7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:36 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 1588.9 in descending order.\nAnswer: 1588.9, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 594051*l**2 + 1782126*l.\nAnswer: 3*l*(l - 198014)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 9*f**2 - f + 80. Let q be j(-7). Which is the closest to 0? (a) 4 (b) q (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6352183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orr when three letters picked without replacement from {k: 2, o: 1, w: 3, r: 7, c: 5, m: 2}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*s**4 + 29*s**3 - 2*s**2 + 70*s - 51158867?\nAnswer: 212*s**3 + 87*s**2 - 4*s + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyhzzb. Give prob of sequence hb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/40 in 1, 0.1, 0, 3, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*b = 5*i + 41, 3*i = 5*b - 6. Let o = i - -7. What is the second derivative of -5*a + 5*a - 4*a + o*a**3 + 3*a**3 wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76488393*z**5 - 220123864*z**2?\nAnswer: -4589303580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 32 = -2*z + 72, 4*q = 4*z - 208. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 175248*h + 208269790.\nAnswer: 2*(h - 86419)*(h - 1205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7.5. Let c = -0.5 + j. Let v be (-26)\/(-13)*(-1)\/(-6). Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 + 3*z**3 - 7*z**3)*(-37*z**2 + 67*z**2 - 37*z**2 + 1 - 2*z**2 - 1 + (1 + 2*z - 1)*(6*z - z - 3*z)).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825813650?\nAnswer: 2, 5, 31, 532783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -47. Solve -a + 20 = -m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 46\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 40.9. Which is the second smallest value? (a) l (b) -7 (c) -4\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*g**2 - 128*g**2 + 260*g**2 + g + 3 in the form c + j*g**2 + k*g and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -182207700936129 and 0.\nAnswer: -182207700936129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31106025?\nAnswer: 3, 5, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 54220 + 253849 = 551*m. What is the remainder when m is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 + 358. Solve v + d*t = -11, -3*v = -5*v + 4*t + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/15 - k**4\/8 + k**3\/6 - 13*k**2 + 23*k. Determine v(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 28930 - 8210. Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 122100?\nAnswer: 200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.2, -2\/5, 2\/7, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2 + 1516432260*l - 114978339958435380 = 0.\nAnswer: 151643226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 99*f**2 - 5223*f + 2333. What is q(137)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450024 and 388144.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/5 + 16*o**4\/5 - 32*o**3\/5 - 244*o**2\/5 + 102*o - 252\/5 = 0.\nAnswer: -7, -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-112) - (-6)\/(-16)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**3 + 2*m**2 - 3*m + 154. Let o(w) = -36*w**3 - 11*w**2 + 15*w - 768. Let k(n) = 11*a(n) + 2*o(n). Differentiate k(b) wrt b.\nAnswer: 15*b**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*q + a*z**4 - 26*a*z**2 + 286*q*z**3 wrt z?\nAnswer: 24*a*z + 1716*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/109369 and -19\/846?\nAnswer: 1968642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 540?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 20*i**2 + 786*i + 886*i - 1672*i.\nAnswer: -20*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 20. Suppose i + d = 3*i. Find the third derivative of 8*v**3 + 7*v**2 - v - i*v**3 + v wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 54*d**2 + 3969*d - 214415. What is i(54)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = t - 2182, -5*t + 2*d - 2173 + 13035 = 0. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -962265 by -5.\nAnswer: 192453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4828 or 4843?\nAnswer: 4843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.86496 + -0.2?\nAnswer: -3.06496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979, 974, 981, 1006, 1055, 1134?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366, -364, -354, -330, -286, -216, -114, 26?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2299003751?\nAnswer: 11, 19000031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) -4\/7 (b) -0.2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 87?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5391 is divided by 397?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93363674 to the nearest integer?\nAnswer: 9662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (0 + sqrt(405))*2 + 2)**2.\nAnswer: 108*sqrt(5) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95940)\/(-1107) + ((-6)\/9 - -1). Calculate the greatest common factor of 32451 and k.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 at most -5426\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 3 - -1 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 18. What is w(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308.4 + -292.97. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10\/z**(-2\/5)*((z\/z**8)\/z)\/(z**(-8\/3)*z) assuming z is positive.\nAnswer: z**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 462131 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488216 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139.001 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 - 123656*v**2 - 5733681390*v + 34406540100.\nAnswer: -2*(v - 6)*(v + 92745)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-3 + 20\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4))**40\/((o**1*o)\/o**(-7))*((o**0)**0)**(-2\/15) assuming o is positive.\nAnswer: o**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/270 - 535*y**4\/54 - 119*y**3\/3 + 204*y**2 + 3*y + 3. Factor v(l).\nAnswer: 2*(l - 1071)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.25 + 4.1. Let o = -4.45 + x. Let m = o - -4. What is the nearest to -0.1 in 1\/3, 6, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1052628?\nAnswer: 1052631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:25 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/8)\/(-3)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*h + 526 = 0, 4*n + 4*h - 693 = 9*h. Suppose -q - 67 + n = 0. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5) + 0 + -2 + 4 + sqrt(5) + sqrt(20)\/sqrt(4) - (4 + -3 + -2*sqrt(5))*6))**2.\nAnswer: -4320*sqrt(5) + 41076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 3 + (-60)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 2:17 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.4 - -14. Which is the smallest value? (a) -3 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 10) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/54 + 1)\/(35 - (-3498)\/(-99)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 1. Calculate h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -1.9?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 - 113. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 0 = 13*f. Let u(z) = -z**3 - 3*z**2 + 3*z + 1. Suppose 0*a + 4*a + 16 = 0. Let s be u(a). Sort f, s, 3 in decreasing order.\nAnswer: s, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241495372.\nAnswer: 2, 13, 659, 36229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.28. Let q = z + 0.92. Which is the third smallest value? (a) q (b) 2\/19 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:48 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2093703383 + 0.01?\nAnswer: 5.2193703383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(7\/(-14)). Let z be 7 + (-7)\/1 + l. Let p(x) = 3*x + 1. What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 + m. Let g = 7 - 3. Suppose -g*i - 5 + 1 = 0. Give h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**7\/840 - r**6\/36 - r**5\/15 + 13*r**4\/24 - r**3 - 16*r + 111. Let x(c) be the third derivative of s(c). Determine x(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-496)\/372)\/(((-3)\/(-708))\/(-9*4\/96))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87118852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4163859 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-9 - -8) - -21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*a + 4 = 18, 0 = r + 2*a + 6. Solve -3 = -2*f - 11, -4*l - 4 = r*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10411036.\nAnswer: 2, 311, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 25, 3, -2.64, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47045*r**4 - 1940*r**3 + 20*r**2.\nAnswer: 5*r**2*(97*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.72 + -0.42. Suppose 56 = -49*s + 252. Let q = 50 + -57. What is the smallest value in s, j, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.4 - -9.399834. What is l rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**3 + h**2 - 20*h + 75. Let x be v(6). Let r(y) = -535 + x - 536 - 2*y. Let p(m) = -13*m. Determine p(r(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-28))\/((-132)\/(-24) - 6). Is 1 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.13134 years in centuries?\nAnswer: 0.2413134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 10. Let b(m) = -7*m - 3. Is b(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*y = -14, -3*y - y + 12 = -4*h. Let d(n) = 3 + 5*n + h - 4. Let z(a) be the second derivative of a**3\/6 + 2*a. Give z(d(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d, -4*i + 2*d + 57 = 5*d. Calculate the smallest common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:57 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, 4, 23, 0, 75, -1 in decreasing order.\nAnswer: 75, 23, 4, 0, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h. Let a(d) = 74823*d. Determine w(a(c)).\nAnswer: 374115*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/2)\/(-1)*4\/80*10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*y**3 + 3*y**2 - 131391*y wrt y?\nAnswer: -108*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.54 - -0.98. Let x = y - -3.56. Is x at most as big as -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -78, 17, -1093 in decreasing order.\nAnswer: 17, -3, -78, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1609*f = -11*v + 1613*f + 130, 75 = -3*v - 3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78504 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/3 + 1295150*s**2 - 629029423362*s - 1887092155538\/3 = 0. What is s?\nAnswer: -1, 971363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f + f + 0*f)*(-704*f + 331*f + 298*f) - 4 + f**2 + 4)*(f + 3*f - f - 4 + 4 + 2*f + (-4*f + f + f)*(0 + 1 + 1)).\nAnswer: -74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*g - 676 + 130, 5*c - 687 = 4*g. Calculate the highest common divisor of 225 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 17. Let b = 92 - 83.8. Let a = k + b. What is the third biggest value in a, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(77\/(-44)) + (-18)\/(-252). What is the second biggest value in 2, -16, -2.2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8 and -32\/4907.\nAnswer: 39256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 12:15 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.029919 years?\nAnswer: 12.359028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 - -421. Let s = 161533 - 1289125\/8. Let h = s + b. What is the common denominator of -3\/11 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556 - 539*h**3 - 1556.\nAnswer: -539*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2\/11*j**5 + 0*j**3 - 2\/11*j**4 + 0*j + 0 + 0*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4885 divided by -325\nAnswer: -977\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/16 + 14\/112. Let m be (-3 + -1)\/2*-2. Suppose 8 = m*c - 0*c. Sort u, 5, -5, c in decreasing order.\nAnswer: 5, c, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.2 and 0.065?\nAnswer: 0.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 3. Suppose -4*v + 7*m - 29 = 2*m, -2*v + 13 = d*m. Let w = -1975\/13 - -152. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 3 - (-41 - -38 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124973 * -0.016.\nAnswer: -1999.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - d**3 - 360*d - 65*d - 150*d.\nAnswer: -d**3 - 575*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/2*(-20)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 2*u**3\/3 + u**2 - 15*u. Let w(r) = -12*r + 10*r + 5*r + 1. Give -2*s(l) + 3*w(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 896498 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1)\/(4\/14). Let l be 2 + 7\/(m\/(-6)). Let q be 6\/2 + 10\/l. What is the nearest to -1 in 4, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2480 = -5*x + 2*m, 5*x - 4*m = 3325 - 845. Calculate the highest common divisor of 93 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/13, 2\/17, -7, -8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25553\/102244 - 2\/25561. What is the third biggest value in -3, d, -26\/7?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 30 - 27*i to the form l + m*i and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/36*838\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 55?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 454*o - 431. Let d be c(1). Solve -4*r + d = -2*h + 5*h, 4*r + 2*h = 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5070 + 417 = -9*t. Suppose -2*q - 630 = 5*p - 10*p, q = -4*p + t. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/12)\/((-2)\/6). Is (-295*c)\/((-2)\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(-183)\/(-2745)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 1416.4.\nAnswer: -1412.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {q: 1, v: 2, s: 1, o: 2, j: 1, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7830 and -89\/5481?\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + 33. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282744, 282736, 282728?\n\"Answer: -8*w + 282752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731898750?\nAnswer: 2, 3, 5, 11, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 2*f - b, -3*b = 5*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - v - 16. Let g be 41884\/(-14) + v\/(-7). Let w = 4787 + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -2.9. Which is the closest to z? (a) -2\/3 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80566 is divided by 445?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1\/5, 20 in decreasing order.\nAnswer: 20, 1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + 2*y**2)*(-5 - 2 + 5) + 5317*y**2 + 28736*y**2 + 120*y**2.\nAnswer: 34169*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/1504*-47*12\/3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = -m + 4, 0 = -5*m - 15. Suppose u*l + l - 30 = 2*g, 5*l + 4*g = 28. Find the second derivative of -l*d + 3*d**3 - 3*d**3 + 2*d**3 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -376.539 - -377. Let k = t + -0.5. Round k to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11514 + 3?\nAnswer: 11517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x = 125*x + 392 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*m**2*o**3 - 45*m**2*o**2 - 3*m**2 - 2*m*o**3 + 4 wrt o.\nAnswer: -2292*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284770?\nAnswer: 2, 5, 7, 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -371, -386, -391, -380, -347, -286, -191?\n\"Answer: g**3 - g**2 - 19*g - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = k - 4, 31*z - 36*z = 3*k - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17183 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1909 or -1916?\nAnswer: -1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19476 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = -5*x, 3*k - 3*x + 1 = -2. Suppose -2*h + 93 = -2*b + 427, 15 = -k*b. What are the prime factors of h\/6*-3 - 4?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459010 rounded to the nearest 10000?\nAnswer: 3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**3\/6 - 515*s**2\/6 - 209*s\/6 - 7\/2.\nAnswer: (s - 21)*(5*s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 17026922.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 238*u**2 - 482*u - 467. Give v(-240).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15453 + 0.147. Round i to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**3 + 252955*c**2 - 1517865*c + 2276865 = 0.\nAnswer: -50597, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -26. Let q = -36 + y. What is q rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 3*s)*(3*s + 0*s - 5*s)*(-36*s**2 + 19*s**2 + 6*s - 5*s).\nAnswer: -34*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-9 + 2 - -17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:09 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd + -2?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26229, -26214, -26189, -26154?\nAnswer: -26109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 11:46 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-166)\/747 + (-155)\/(-9). Solve i = d + 1, -n*d = -18*d - 5*i + 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -85, 11, 9, -2, -284 in descending order.\nAnswer: 11, 9, 0, -2, -85, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/78)\/(10\/(-15)). Let p = 3 + -4. Let l be 10\/(-105) - (p + 1). What is the nearest to 1 in -0.4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 10375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3041 or 3028?\nAnswer: 3028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -176, -0.5, -3, 1, 1\/2, 2\/17, -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 1171*a + 124263. What is c(118)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**3 - 17*r**3 + 32*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)*f**(-2\/45) assuming f is positive.\nAnswer: f**(-137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)*n**(1\/2)*n*n**5\/n*n**3)\/((n**(-2\/7)\/n)**(7\/5)\/((n*n\/(n*n**(-6\/11)))\/(n**1\/n))) assuming n is positive.\nAnswer: n**(569\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 53*j - 33. Give d(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 1)*(27\/(-6) + 5). Suppose 3*g + 2*n + n - 36 = 0, h*g = -3*n + 52. Is (-19 + 13)\/((-6)\/g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 11 = -1 + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7188, -37, 1\/4 in ascending order.\nAnswer: -7188, -37, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 2*c - 4. Suppose -2 = -2*t + 2. Let v(n) = -n**2 + 3*n + 4. Let b(a) = t*v(a) + 3*k(a). Factor b(s).\nAnswer: 4*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 25*a**2 + 44*a - 48. Let b be h(-23). Put -49, 0, b in decreasing order.\nAnswer: 0, b, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/4)*n**(-5)*n**0\/n**(-1\/5))**(-2\/19) assuming n is positive.\nAnswer: n**(61\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28006661901.615357351 + -28006661868. Let i = t - 246.615356081. Let y = -213 - i. What is y rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x + 1\/210*x**7 + x**2 + 0 + 1\/120*x**6 - 1\/80*x**5 - 1\/48*x**4 + 1\/24*x**3. Factor n(j).\nAnswer: (j + 1)**2*(2*j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191590 to the nearest 1000.\nAnswer: 192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1544 and 2.33.\nAnswer: -3597.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 7152 - 14295 + 7143.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t + 5 - 5)*(-1 + 0 + 0) + 0 + 0 + 2*t + (1 - 9 + 3)*(0*t - 10*t + 4*t))*(3 - t - 1 + 0).\nAnswer: -34*t**2 + 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*u - 6, 0*g - 3*g - 4*u + 18 = 0. Solve 0 = 4*j - 2*j - g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + 2744c1?\nAnswer: 274512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -16*c**2 - 17*c**2 - 20*c**2. Let q(u) = -2*u. Give k(q(t)).\nAnswer: -212*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 1\/538 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 59505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -508*h**2 + 23*h - 14*h + 210*h**2 - 10*h to j*h + c*h**2 + s and give c.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41824, 40998, 40172, 39346, 38520?\nAnswer: 37694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4 - 2*a**3 + 3*a**3 - 3*a**2 + 10. Let k(b) = b**2. Let i be 12 + -21 - (-3 - 1). Let v(c) = i*k(c) + l(c). Calculate v(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138*8\/(-288)*2?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {r: 9, v: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 - 5*o - 11 - 2. What are the prime factors of j(-19)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -55*n - 5. Let y be g(-2). Suppose 2*i + 3*i - y = 0. Let h = i - 17. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-6)*(-34)\/(-2)*60\/(-510).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 7463710*w\/3 - 13926741741025\/3.\nAnswer: -(w - 3731855)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -636*x + 610*x = 75 + 185 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5\/9, -0.0175, -1627 in decreasing order.\nAnswer: 5\/9, 0.1, -0.0175, -1627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 0*q**2 - q**2 + 2*q + 3*q.\nAnswer: -q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2542 + 3?\nAnswer: 2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2408 and 903?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -5 (c) -2\/7 (d) 3\/4 (e) -763 (f) 2 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001463 to five dps.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004942 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 - q**5\/10 - 7*q**4\/24 + 7*q**3\/6 - q**2. Let s be v(5). Let n = s - -75. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1176, 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 204334243?\nAnswer: -204334233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3213\/(-945))\/(1*3\/(-15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -139 - 29. Calculate the common denominator of (-444)\/(-8)*1\/m*-2 and 25\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.996 + 1. Let t = 6.934 + -6.63. Let x = t - c. What is the nearest to -0.5 in 1, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -112, 0 = -8*t + 16*d - 15*d - 28 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 45 = 8*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 - -1138\/7. Factor -6\/7 - l*f + 2\/7*f**2.\nAnswer: 2*(f - 3)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99375)\/1250*-3*84\/216*(-4)\/(-7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63841.97 millimeters to centimeters.\nAnswer: 6384.197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**3 - 2*h**2 + 13*h - 21. Let r(i) = 5*i**3 + i**2 - 6*i + 10. Calculate -13*r(m) - 6*u(m).\nAnswer: m**3 - m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23314 (base 7) to base 8\nAnswer: -13545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*u + 43, -t + 80 = 3*t + 4*u. Let n(y) = 2*y + 65. Let k be n(t). What is the greatest common divisor of k and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let m(x) = 2*x**2 - 3*x - 9. Let d(l) = -m(l) - 5*z(l). Let q(t) be the first derivative of d(t). Calculate q(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62455 = 637*z - 638*z. Is z\/10 + (105\/10)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**3\/3 - 4*j**2 + 10*j + 21. Determine m(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 868 in -0.4, -89, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 10. Let a = q + 17. Let i(z) = -z**3 + 5*z**2 - 5*z + 5. Let o be i(4). Put o, -2, a in increasing order.\nAnswer: -2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*(-28)\/(-1). Suppose 5*n - 3*n - 8 = 0. Solve 2*g + 12 = n*j, -4*g - l = -g - 2*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9150448 and 65\/544.\nAnswer: 311115232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -1457, 2\/23, -3, -4\/7, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, j: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.16 (b) 0 (c) 1 (d) -1 (e) 0.032 (f) 11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j**4 - 2*j**3)*(0*j + 6*j - 3*j) + 3*j**5 + 4*j**5 + 2*j**5.\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 2, -3, -5, 5 in descending order.\nAnswer: 5, 2, -3, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 35 + 97 = 0. Let o be 4\/(-22) - 8\/s. Let c(y) = -y**2 + 1. Let j(t) = t**3 - 7*t**2 - t + 12. Let i(a) = 6*c(a) - j(a). Calculate i(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or 0.6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-20) - 4\/40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/9 - 83*d**5\/30 + 17*d**4\/9 + 3*d + 18. Factor z(v).\nAnswer: -2*v**2*(v + 17)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 10*b**3 - 23*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(10\/4) + 920000 + 2. What is f rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 2*a + (2 - 3 - 1)*(3*a + 0*a - 2*a) + 5*a - 3*a - 4*a + 1 + a - 1 + 0*a + 3*a - 5*a)*(-a**4 + a - a).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20361375 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d**2 + 4. Let w(u) = -u - 16914. Determine w(y(t)).\nAnswer: 24*t**2 - 16918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -152. Suppose 105 - 68 = 4*r + n, 0 = 4*r - n - 35. What is the remainder when l is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:53 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*g - 167 - 515, 0 = 2*s + 2*g - 1382. Let l(d) = -321*d**2 - d - 2. Let w be l(2). Let j = s + w. What is j rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27193725*i**2*o - 90*i**2 + 521078*i wrt o?\nAnswer: -27193725*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*s + 82*s - 820 + 151 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -3\/374 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 + -148. Suppose 0*c - g = -4*c. Let p be c\/4 + (-3)\/(-12). Calculate the greatest common divisor of p and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2146 + 2174. Which is the smallest value? (a) 0 (b) 2\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11781852 or 11781854?\nAnswer: 11781852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 0, 3*l + 0*d + 3*d = 0. Suppose 140 = l*k - 0. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 43616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/52*596\/1043?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 231 = 5*o. Suppose -4*x = o - 29. What is the closest to 0 in 0, -0.4, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4346 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 6*s - 6. Calculate b(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5264 - 5254. Calculate the highest common factor of 4910 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589779 divided by -196593.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -407*p - 5689. What is x(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1884324 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6528, -6610, -6842, -7302, -8068, -9218, -10830, -12982?\n\"Answer: -13*b**3 + 3*b**2 - 6518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137968092 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 34. Suppose b*a - 8*a = 52. Let g(t) = 4*t - a + 26. Let l(y) = 2*y. Calculate l(g(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 55.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 97. Suppose 3*d + 7*a - 737 = 3*a, 0 = k*d - 2*a - 968. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 3*o**5\/2 - 5*o**4\/24 - 13*o**3\/6 + o**2 - 6*o. What is the second derivative of k(z) wrt z?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/210 + 2*y**5\/35 - 3*y**4\/14 - 36*y**3\/7 - 134*y**2 - y. Factor d(m).\nAnswer: 4*(m - 3)*(m + 3)*(m + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714730 is divided by 39655.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 412611 times -1\nAnswer: -412611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*n - 126*n - 18431 = -594*n + 6337 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 168\/602*(-20)\/(-75)*(-46)\/(-368)\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5007184cm in meters?\nAnswer: 0.005007184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 - 4 + 3)*(0*u - 3*u + u).\nAnswer: 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(11) + sqrt(5))*-4.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158372792125 - -4.\nAnswer: -158372792121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007138 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.07. Let a = t - -0.0099935. Round a to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47808 times 17?\nAnswer: -812736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1) + (8 - (28 + -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1445 + 101400101?\nAnswer: 101401550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*h - 8*h - 57021 = 0. What are the prime factors of h?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 17741.\nAnswer: 14\/17741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 2*i + 10*i to o*i + l and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 1514*w**2 + 1489*w + 52. Let z(a) = 504*a**2 + 496*a + 16. Let p(f) = 4*u(f) - 13*z(f). Let p(l) = 0. Calculate l.\nAnswer: -123, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14514*t + 14420*t - 29009*t + 5)*(4 - 2 - 1)*(1 - 2 - 1).\nAnswer: 150*t - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 121 = -260. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (290 - (-917286)\/(-3162)) + (-50)\/124\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let u(m) = m**2 - 7*m - 1. Let v(i) = -6*h(i) + u(i). Let y(k) = 2 + k - 3 - 2*k. Give -v(q) + y(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 6*k**2 - 3*k**2 - 3*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -243 (b) 5\/4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -337 - -336.9662. Let b = -114.6662 + t. What is b rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-370)\/259 - -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/1*2. Let a be 4 + (-1 - 0)*d. Solve a*w = -w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 82 = 4*j + 19, -4*k - 4*j = -48. What is the second derivative of s - k + 2*s**3 + 15 wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -4\/5 (c) -0.5 (d) 1\/34 (e) -1\/27 (f) -2\/7 (g) 294\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 = 24. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -17*t**2 - 15*t + 202. Calculate c(8).\nAnswer: -1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -10189.5841?\nAnswer: 10185.5841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -39*v + 1422. What is f(37)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/3)\/3*0. Which is the nearest to -1? (a) 1\/12 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c. Let o(d) be the second derivative of d**4\/2 + 5*d**3\/6 + d**2 - 10*d. Calculate -o(j) - 5*s(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -16\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103.3 + -103. Let m = 3 - 0.9. Let q = m + -1.9. Which is the third smallest value? (a) 2\/11 (b) s (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.674089 litres?\nAnswer: 6674.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 2*o - 64 + 47.\nAnswer: 2*o + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87158117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)*m*m\/(m*m**39*m) assuming m is positive.\nAnswer: m**(-275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.7. Let f = 1.3 + y. Let j = -94\/585 + -4\/65. Which is the nearest to 0.1? (a) j (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/12 + 101*u**2. Let c(h) = -2*h**2 + 580. Give j(c(x)).\nAnswer: -4*x**2 + 1160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3170 and 15861412.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20123.6 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 - (-2 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = -d, -d = -3*i - 0*i - 12. Let h(m) = d*m - m + 5*m. Let a(p) = -p. Determine a(h(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-18500.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -266240 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31605\/(-90))\/(-49))\/(((-10)\/(-100))\/(3\/5)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + z + 3 = 0, w - 5*z - 21 = 5*w. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -559\/9. Let g = 4.9 - 6.9. Let m be 6\/3*(-6)\/4. Which is the biggest value? (a) d (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -1\/7 (c) 0.93 (d) 0 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*m + 98*m + 83*m - 103 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5170 and 5447530?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29974798.\nAnswer: 2, 7, 2141057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 43*r**2 - 185*r - 15. Let g be o(5). Solve -m + 30 = 5*j, m + 5*j = 4*m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/1 + 0 + 0. Suppose -468 - 232 = -2*a. Suppose 0*f + a = 5*f. Calculate the greatest common factor of w and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 98550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 4*o - 4. Let h be d(-4). Let y = -43 + 42.7. Is y != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 738*d*u**3 - 140*d*u + 2367*d - 195*u**3 wrt u.\nAnswer: 4428*d*u - 1170*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 10:03 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -78.3*2\nAnswer: -156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1*sqrt(567) + sqrt(567))*4 + -2 + (sqrt(567) + (sqrt(567) - sqrt(567)*2))*6 + (sqrt(567) - 4*(sqrt(567)*1 - sqrt(567))) + 5 + -5)**2.\nAnswer: -324*sqrt(7) + 45931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21716343 and 7238781.\nAnswer: 21716343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 10) in base 13?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afaf when four letters picked without replacement from {f: 10, a: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42171672.\nAnswer: 2, 3, 1757153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (486\/2187)\/(260\/828) + 2\/(-5).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - n = -41100002, -b + 6*b + 3*n = 68500006. What is b rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {c: 2, u: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 - 3*c + 1. Let h(n) = -n**2 + n - 1. Give 3*h(i) + m(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 74083657?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-2\/7)*v*v))**46)**(-41))**(5\/12) assuming v is positive.\nAnswer: v**(23575\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f - 2*f**5 - 7*f - 2*f**5 + 2*f**5 - f**5 - 4*f**2 + 4*f**2 + f**5 + (2*f**4 - 4*f**3 + 4*f**3)*(f - f + 2*f) - 3*f**4 + 3*f**4 - f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b*z**6 + 216*b*z**5 - 7*b*z**2 + 473*b - z wrt z?\nAnswer: -840*b*z**3 + 12960*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let m = 681 - 210. Let w = m - 495. Are w and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425611 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010 (base 2) in base 13?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {p: 4, u: 1, m: 1, f: 2, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14*b*b\/(b**(1\/4)*b)*b*b)\/(b*b\/(b*b**(1\/6))*b**(-3)*b) assuming b is positive.\nAnswer: b**(215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.92 + -0.08. Let z = 7.6 + d. Let p = 1.59993 - z. What is p rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**(1\/4)\/l))\/l))**(5\/13)*l**(-1\/14)\/(l*l\/(l*l**9*l)*l) assuming l is positive.\nAnswer: l**(2921\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 63 = 8*z, -z - 5*z - h + 5 = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1190 + -1067. What are the prime factors of j?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*8\/(-3). Let d be ((-2)\/(-6))\/(2\/(-18)). Suppose 3*r - 11 = 4*z, 0 = -3*r - 3*z - 2*z + 20. Sort q, r, d.\nAnswer: d, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 - 2348*l**4 + 4*l**3 + 4696*l**2 - 2*l - 2348 = 0. What is l?\nAnswer: -1174, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + sqrt(153) + -3 - (1 + (sqrt(68)*3)\/sqrt(4))*-1)**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 88 + 173. Let h = 174 + d. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506208.\nAnswer: 2, 3, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 980861993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3, r + 20 = -0*r + 5*j. Let u = r + 15. Calculate the smallest common multiple of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*v + 4*t - 47, 0 = -v + 2*t + 60. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1403587 and -9?\nAnswer: 1403578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -6*l, -4*l - 14 = 2*w + l + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 104. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 6*u + 10. Let n be t(11). Let m = n + -67. Let p = m - -20. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 2)*(9 - 3 - 39)*(m + 0*m + m) in the form n*m + g and give n.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 2754*j**2 - 7464107*j + 19809374060\/3.\nAnswer: -(j - 3101)**2*(j - 2060)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 17. Let a(k) = 3*k + 49. Let y(f) = -3*a(f) + 8*d(f). Let q = 28 - 33. Let m(u) = -u - 11. Let l be m(q). Calculate y(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h. Let g(b) = -b**2 - 8*b. Let o(q) = -4*d(q) + 5*g(q). Find the second derivative of o(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 14*v**2 + 103*v - 17. What are the prime factors of o(10)?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/(-140)*5\/4*-1. Let y(u) be the first derivative of 2\/3*u**6 + 0*u + 1\/3*u**3 + 9\/4*u**4 - n*u**2 - 3 + 11\/5*u**5. Let y(z) = 0. Calculate z.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*416\/(-208).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25712017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1203792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.729 * -3.0246\nAnswer: 2.2049334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70974 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1920\/(-9))\/8*-3. Let s = 10 + x. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10559 - 10530. Solve 52 = -4*r + 5*x + m, 0 = 5*x - 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.187 - -78.813. Let z = n + -76. Which is the nearest to 1? (a) -2 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28144.98 months in decades?\nAnswer: 234.5415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*k + 27 = k, -4*k = 12. Let b be (q\/4)\/(-8 - -219). Let m = b - 29971\/1266. Find the common denominator of -50 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 16. Calculate the greatest common divisor of 128 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1051 (base 6) to base 3.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1019*z**2 - 2001*z**2 - z - 6 + 983*z**2. What is n(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -27.49. Let w = 1.49 + u. What is the closest to 1 in -0.1, 6, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0 + 4 + 0 + 3*c - c**2. Let n(v) = 7*v + 3*v**2 - 4*v**2 + 23 + 11*v. Let k be n(19). Calculate s(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109361 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -1585, -3687, -6651, -10471, -15141?\nAnswer: -20655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43446.9999 - 43449. Let m = i - -2. Round m to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*s + 2 - 2 + 65*s to r*s + i and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 1)*4\/(-448)*24. Let b be (-4)\/(-12) + 15\/9. Let 3\/7*v**b - u*v + 0 = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.318 times -0.3?\nAnswer: 5.7954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 332593?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (1 - (2 - 3))\/(-2). Let u be (c - -64) + -11 + 10. Let n be (18\/u)\/((-8)\/(-70)). Sort 5, -0.1, n in increasing order.\nAnswer: -0.1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**3 - 7*w**3 - 13*w**3 + (-20*w - 185*w - 75*w)*(2*w**2 - w**2 + 0*w**2) to the form x + o*w + z*w**2 + j*w**3 and give j.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.43255 grams to kilograms.\nAnswer: 0.02643255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 e when four letters picked without replacement from eeeteeeeeeteeete?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 4\/33, -1\/5.\nAnswer: -1\/5, -2\/25, 4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/24*(-90)\/(-120)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -538221\/29 or -18558?\nAnswer: -538221\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)\/(y\/y**(3\/11)))**(-4)*(y*y\/y**(3\/5))\/y**(-3)*(y\/(y\/(y*y**(2\/7)))*y*y*y)**(-25) assuming y is positive.\nAnswer: y**(-19956\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36696 times 0.8?\nAnswer: 29356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -5*y**4\/24 + y**3\/3 - 2*y**2. Let i be m(-6). Let w = i + -16. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7058*r + 3524*r + 3547*r + 45 to the form q + z*r and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11339033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxddddxdxxdxd. What is prob of sequence xx?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(80*w - 11*w + 7*w - 432*w - 315*w) to n*w + l and give n.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 68. Let f(b) = b**2. Calculate f(z(q)).\nAnswer: 9*q**2 - 408*q + 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrn when three letters picked without replacement from nwnrenwrnnnrron.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*m - 5*p, -m - p - 4*p = 31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18505 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2805*u - 2432*u + 5240*u + 10*u**3.\nAnswer: 10*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 28. Let d be 79*((-60)\/(-16) + -4). Let m = d - -41\/4. Is u != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 45, 58, 69, 78, 85?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 + 111.2. Is -167 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3690564 by -2686.\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 16 (b) 1 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44715 + 5?\nAnswer: -44710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 divided by 4.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maamaamaam. What is prob of picking 3 a and 1 m?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532512 and 79810236?\nAnswer: 638481888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/107 or -2\/1009?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:38 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31 + 2\/(1 + -3). Let c be (w\/(-4))\/((-12)\/16). Calculate the greatest common factor of c and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8156931, 8156936, 8156943, 8156952, 8156963, 8156976, 8156991?\nAnswer: 8157008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbbbfbb. What is prob of sequence ffb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 + 41*p**2 - 888*p + 25. Is w(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.372 - 0.14. Let z = 6 + u. Let w = z - -0.102. What is w rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -277, -276, -275, -274?\n\"Answer: g - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/39*3 - (6 + -9).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -72. Suppose -33 = -5*f + 4*d + b, 18 = f - 3*d. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279\/4 + 69. Suppose -v + 21 - 6 = 0. Suppose 5*k - v = -25. What is the closest to -2 in k, m, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 6*q**2 - 33412*q - 11138 = 0.\nAnswer: -1\/3, 5569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16496 + -22797.\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (49 + -9) - -2) + -7 + 1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*o = 155*o - 39 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from dld.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/4 - 51\/(-12) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 7*u**2 - 3*u - 1. Let g be l(4). Suppose 84 = 4*b - g*n, n = -0*b + 3*b - 58. Suppose 21*x - b*x - 2493 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 - 63420545*c**2 = 0. Calculate c.\nAnswer: 0, 12684109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -3, -6, 11, 0.3 in increasing order.\nAnswer: -6, -3, 0.3, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-4)\/1 - (-11407)\/2856). Solve -59*g + m*g + 5*k = 19, -2 = -k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -20. Suppose -8*m + q*m - 603 = 0. Suppose -i + 5 + 5 = 0. Calculate the remainder when m is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1783*i**3 - 4724*i**3 + 2*i + 2948*i**3. Let a be (-1)\/((-1)\/(-2 + 0)). Let k(r) = r. What is a*k(c) + n(c)?\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3041, -12812, -30271, -56378, -92093, -138376, -196187?\nAnswer: -266486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4.99942. Round t to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 - -0.1. What is the closest to -0.1 in -5, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrrr when four letters picked without replacement from rrwwrrwwrrwrwrrw?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - n**2 + 0 - n + n - n**2 + (0 - 2 + 3)*(-n**2 - 4*n**2 - 4*n**2) - 5*n**2 - 4*n**2 + 3*n**2.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-45))\/((-4)\/762) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {a: 2, t: 1, j: 1, v: 2, c: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*k + 49*k - 24*k)*(k + 2 - 11*k - 1 + 1 - k - 1 + (-2*k + 3*k + 0*k)*(-3 + 2 + 0)) as l*k**2 + a + u*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.49, -0.2, -512, -5, 2\/15, -7\/3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.7131635 and 137.05.\nAnswer: 123.3368365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109925 is divided by 3016?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 66*p + 68*p - 170*p**2 + 5 + 53*p**3 + 155*p**2 to the form l*p + q + n*p**3 + t*p**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2040, -2209, -2564, -3195, -4192, -5645?\nAnswer: -7644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -129*h + 569. Let o(w) = -w**2 - 3*w + 26. Let v(k) = -k**2 - 4*k + 26. Calculate h*o(r) - 2*v(r).\nAnswer: -r**2 - r + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let o(a) = -434*a - 971. Give v(o(m)).\nAnswer: -434*m - 971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -1. Suppose 5*t + 7 = j*t. Find the second derivative of p + p + 8*p**4 - t*p wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 + 11*b**2 - 3*b - 4925. What is s(25)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*m - 53, -5*m - v + 13 = 71. List the prime factors of (m\/22)\/(2\/(-64)) + -2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 25, -23.56?\nAnswer: -23.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069346.\nAnswer: 2, 3, 193, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-153*p - 1551*p - 223*p)*(-5 + 3 + 1)*(2*p + p**2 - 2*p) to i*p**3 + g*p + c + k*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5\/30) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**41\/i)**(-8\/3) assuming i is positive.\nAnswer: i**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -962b95?\nAnswer: 962b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4193*t - 96527 = 15891 + 38530 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84850 + 1459?\nAnswer: 86309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-3 - -6) + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 + 0 + 0)*(-32 - 29*x**2 + 32) to k + c*x**2 + n*x and give c.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*d**5 - d**4 - 205*d**3 + 14569*d - 1 wrt d.\nAnswer: 1920*d**3 - 12*d**2 - 1230*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47425, -47429, -47435, -47443, -47453?\nAnswer: -47465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 73. Let j = p + 117. Suppose 2*c + 4*u - 183 = -3*c, j = 2*c + u. Calculate the remainder when c is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1433674621847\/8728 - -164261530. Let o = 1\/1091 + j. Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13035052?\nAnswer: 2, 3258763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38\/(-3))\/(1\/(-6)). Let h = f + -43. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 658950 from -0.5.\nAnswer: -658950.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70654936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7 = -5. Suppose -8*p + 88 = -5*v, -5*p + 55 = -127*v + 125*v. What is the fourth smallest value in v, -0.02, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*h + 6 = 3*c + 124*h, -52*c - 56*c - 4*h = -165*c + 55*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -37.5. Let c = o - 8.5. Sort 3.8, 3, c.\nAnswer: c, 3, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -94*x + 70*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72563 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d - 17*d - 9*d**3 - 17*d + 8*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceclfeffccffefie. What is prob of sequence ceci?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763997176.\nAnswer: 2, 2791, 34217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 20. Let z be (-1)\/((3\/i)\/1). Solve 0 = b, -z*b + 25 = -5*j + b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504 is divided by 168.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -542 - -1151\/2. Does 34 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 1. What is the tens digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:55 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6118 and 506.\nAnswer: 67298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2820, -2818, -2816?\nAnswer: -2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.5, -1\/5, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (-49 - -35 - (-11 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -13*r**7\/7 + 7*r**3\/3 + r**2 - r + 11. What is the second derivative of c(v) wrt v?\nAnswer: -1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4.8091, -0.4, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80 + 49 - 84)*(3 + 1 - 5)*(-2 + 2 + t - 2*t - t + t + (1 - 2 + 0)*(-2 + 2*t + 2))*(-t + t - 3*t) in the form u*t + o + a*t**2 and give a.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 - t + 3. Let u be c(-4). Let z = -7 - u. Suppose -2*p - 3*v - v = -32, 0 = z*p - 5*v + 13. Solve d = p*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8064 + -5664. Suppose 5*r + u = -1700. What is r rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (256 + 501 + 545 - 166)*((0 - 3 + 6)*(3*r**4 + 2*r**3 - 2*r**3) + r**4 + 3*r + 2*r**4 - r) to the form h + i*r**2 + b*r + q*r**3 + o*r**4 and give o.\nAnswer: 13632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let -b**3\/4 + 48765*b**2\/2 - 975225*b\/4 + 609500 = 0. Calculate b.\nAnswer: 5, 97520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 4:37 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 16050000 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102446 is divided by 25472.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 115*v**2 + 395*v - 45405. Give d(115).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 66. Suppose 0 = 3*m - 0*m. Solve -5*n - 14 + k = m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112010110 (base 3) in base 6?\nAnswer: -115403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535 + -453. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - q + q**4 + 0*q + 76 - 76 - 23*q**3 to the form b*q**4 + m*q**3 + v*q**2 + k + y*q and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176301 is divided by 979?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120987 and 2424221?\nAnswer: 65453967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 568708\/399 + 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8686 (b) 17562 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3122*s**3 + 6231*s**3 - 3104*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by ((-84)\/(-63))\/((-4)\/(-258))?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -9. Let l be t\/7 + 2256\/56. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/10))**(1\/5) assuming z is positive.\nAnswer: z**(7\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8 = b, 0*n - 10 = -b + 3*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10 - 2)\/(51\/(-340)). What is the highest common factor of 48 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -658, -0.1, 151.\nAnswer: -658, -0.7, -0.1, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001040461 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 15*l + 27. Calculate the lowest common multiple of j(13) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.652 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7520 is divided by 251?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v - 7. Let w(s) = 3*s - 24. Let y be w(6). Let u be (-16)\/y - (-14)\/(-21). Suppose l - u*p + p + 1 = 0, -3 = 5*l - 3*p. Calculate i(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64720321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.1 (c) -3 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 3*n + 19, 0 = s + 5*n - 5. Let m(j) = 2*j. Let q(b) = b + 3. Let f(w) = -2*w - 2. Let p(h) = 3*f(h) + 2*q(h). Calculate s*m(x) - 2*p(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 24, 32, 44?\n\"Answer: 2*i**2 - 2*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 125*y - 1289. Let p be q(11). Calculate the greatest common factor of p and 7869.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983381139?\nAnswer: 19, 104388481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5914 to two dps.\nAnswer: -5.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1189 + -484. Let a = -703.716 + u. Let i = 1.5 - a. What is i rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116815 is divided by 356.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(176) + 1) + 2)*3 + -2)**2.\nAnswer: 360*sqrt(11) + 14281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 17*h. Suppose h = 5*o + 2 - 17. Suppose 0 = -k + o*k - 16. Calculate the remainder when 21 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27598?\nAnswer: 2, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 3 - 2 - 1. Let w(v) = -v**2. Give f(w(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 22 = 14. Let a(c) = -c**3 + 5*c**2 - 6*c + 2. Let b be a(4). Is 14*1\/(b\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 321*g - 1646. Give j(114).\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44494440 divided by 2224722.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**7\/840 - n**5\/60 + n**2. Let b(m) be the third derivative of w(m). Let r(f) = 2*f. What is r(b(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) -12 (c) 4955 (d) 2\/17 (e) -1 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) 0.28 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2145 (base 7) to base 10.\nAnswer: -768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 84*b = -86*b + 8, -20 = n - 5*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 682\/(-88))\/((-305)\/240 + (-4)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + s - 1. Let p(o) = 6*o**2 + 2*o - 2. What is -p(l) + 2*u(l)?\nAnswer: -2*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 63210 = 68844 + 45753. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3877*h**2 - 2070*h**2 + 7448*h**2)*(3 - 1 - 1)*(-2 - 3 + 3) as w + j*h + n*h**2 and give n.\nAnswer: -3002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose 3*o = -2*o - y + 963, -4*o + w*y = -762. Let s be (o\/10)\/((-1)\/(-5)). What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d**4\/16 + 6*d**3 + 945*d**2\/8 + 1275*d\/2 - 1843. What is p in i(p) = 0?\nAnswer: -5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1093443, -2186882, -3280321?\nAnswer: -4373760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/39*3*-4*(-35)\/(-336).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 307, 430, 529, 598, 631?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4295*v**2 + 3112*v**2 - 4658*v**2 - 9520*v**2.\nAnswer: -15361*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 - 8*m**3 - 7*m**2 + 3*m + 47*m**3.\nAnswer: 39*m**3 - 16*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33010750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 4*j - 36, 4*m + 27 = -7470*j + 7467*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 q, and 1 f when four letters picked without replacement from wbwfwwwwffgqwwfq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209709?\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 119860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**3 - 103*v**2 + 8*v - 58. What is m(13)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*i + 6. Suppose -6*k + k = 25. Put i, -4, k in increasing order.\nAnswer: k, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 30. Let t = -0.2 - l. Which is the closest to t? (a) 0.1 (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128641293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1783 - 751. Suppose -c = -18*q + 1200. Is 62 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150*-40.309.\nAnswer: -6046.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1615168?\nAnswer: 1615168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, h: 7, y: 1}. Give prob of picking 1 y and 2 k.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 9*g + 8. Let w be s(-5). Calculate the highest common factor of 117 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 38\/(-8) - 1. Let t be 148\/(-50)*2\/10. Let m = -1\/125 + t. Which is the biggest value? (a) -1 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-36)\/9)\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3 + 5. Suppose -5*s - 10 = 3*m - s, 3*s + 2 = -5*m. Let w(b) = 0*b**2 + 0*b**2 + b**m + 3*b**2. Give l(w(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64342546.\nAnswer: 2, 23, 31, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926 - -16.069?\nAnswer: 3942.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((7 + -4)*(2 - 3))\/3. Let i(p) = -1. Let y(x) = x - 6. What is g*y(h) + 2*i(h)?\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 7.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 17 - 16\/(-4) - -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267438.9706 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + (sqrt(275) + 3)*2))**2 + (-5*sqrt(275)*3 + sqrt(275))**2.\nAnswer: 120*sqrt(11) + 55036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 29. What is the remainder when (-9)\/(-24)*-4*-26 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/((-20)\/(-364))*1\/(-1))\/(-1). What is the greatest common factor of 221 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.3, -24, -2.1, 2 in descending order.\nAnswer: 2, -0.3, -0.6, -2.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287\/5, -0.3, 0.3, 27\/5, -2\/5 in increasing order.\nAnswer: -2\/5, -0.3, 0.3, 27\/5, 287\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**6\/24 + 7*y**4\/24 - y**2\/2 + 4*y. Let u(k) be the first derivative of a(k). What is the second derivative of u(g) wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**23*w)\/w)\/(w\/((w**(-12)*w*w)\/w)))\/(((w\/(w*w**5))\/w*w)\/w**(-13)) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*n + 16, 9*n - 6*n = -5*y - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 p when four letters picked without replacement from rpjppmppppprppp.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.51 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800) + -5.\nAnswer: -5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (4 - 6)*7\/28 - (-162765)\/10 and 22.\nAnswer: 179036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 4*t + 0*t + (3*t + 0*t - 5*t)*(0 + 0 + 2) + 0 + 0 + t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/417 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2645 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + y + y**2 - 5*y + 0*y. Let p be v(3). Calculate the remainder when 9 is divided by 28\/p - (-2)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 71\nAnswer: -61\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339855287.\nAnswer: 3, 3719, 120091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -163*l - 19. Let i(v) = 164*v + 16. What is -5*d(o) - 6*i(o)?\nAnswer: -169*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387\/42*(-4)\/(744\/(-217)).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 988535567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4\/4 + 3491*b**3\/2 + 2424809*b**2\/4 - 2201850*b + 1102500 = 0. Calculate b.\nAnswer: -700, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41898.57 millilitres to litres.\nAnswer: 41.89857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*i - 66. Let l = -55 + i. Which is the biggest value? (a) l (b) 10 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 103*l + 165. Let n(f) = 58*f + 83. Let b(o) = -5*n(o) + 3*t(o). Give b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722161169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 6. Let h = 62 - 57. What is the remainder when w(-6) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*s + 12. Suppose 10 - s = 2*m, -3584 = -4*p - 3*m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525600 rounded to the nearest 10000?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9389 and 42.563?\nAnswer: 399624.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5667\/2 + 2833. Which is the smallest value? (a) 0.4 (b) r (c) -21 (d) -0.4 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 5*a + 0*a)*(-67*a + 437 + 18*a + 48*a) as i + q*a**2 + x*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32056458439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + y = 3*y - 5, 2*y - 7 = 3*i. Let j be i + (1 - 2\/1). What is the units digit of (-130)\/(-14) - j\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 2*m**2 - 15*m + 7. What is g(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.035 (b) -2 (c) 1\/4 (d) 5 (e) -3\/7 (f) -0.4 (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -1214 (c) 5 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 1)*(-19 - 12 + 12)*(73 - 73 + 134*k) to the form t*k + l and give t.\nAnswer: -2546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:13 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*z + 33 = -6*j - 45*z - 44*z - 46*z - 18, -3*z = -39 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 16*b**6\/3 - 20*b**3\/3 + 23. What is the third derivative of r(y) wrt y?\nAnswer: 1920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Let t be (-6)\/(-33) - k\/11. Suppose t = -i + 1 + 10. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:46 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 11123*g - 465419. Give v(42).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/135 and -163\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 316 = 91. What is the remainder when 71 is divided by h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*3*sqrt(224))\/sqrt(4))\/(sqrt(648)*2 - sqrt(8) - -3*sqrt(72)).\nAnswer: 12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p - 5 + 5 in the form j*p + m and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7295669171 + -7295669685.99999792. Let h = -515 - f. Round h to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjmmzrx. Give prob of sequence xj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**4 - 122*w**2 + 826.\nAnswer: 4*w**3 - 244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*w - 0*w - 39, 2*w = 2*s - 18. Suppose 2*y - s = -0*y. Suppose 0 = -2*r + 12 + y. Calculate the lowest common multiple of 11 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/((-18)\/(-189)). Let r(l) = 28*l + 244. What is the tens digit of r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + -1 - -2 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 5, t: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131300?\nAnswer: 2, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i + r + 5, -2*i = -4*r - 20. Suppose 2*p = -i*p + 6. What is v in 1\/3*v - 8*v**4 + 0 - 8\/3*v**2 + 22\/3*v**p + 3*v**5 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3004813 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101101101101001001100111 - 1?\nAnswer: -11011101101101101001001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 5665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -307?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 26 + 0 - 15*p - 133 - 81. Determine f(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197 times 4\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -12, -21?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let x(w) = -22*w - 30*w + 35*w. Determine x(b(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -7) + -37 + (11 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4716, -4717, -4718, -4719, -4720, -4721?\n\"Answer: -l - 4715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.32*-0.05.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -304*y + 102*y + 101*y + 99*y. Let v(c) = 2*c + 134. What is v(r(g))?\nAnswer: -4*g + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334 and 57949?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/24600 and -29\/100?\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 3*a**3 + 304*a**2 + a - 16*a**3 + 8*a**3.\nAnswer: a**3 + 304*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1009*p - 4. Let j(k) = -507*k - 2. Determine -3*c(q) + 5*j(q).\nAnswer: 492*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -1.1, 5, 1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13173\/(-4391)*(-2)\/(-23)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-24) + -1 + (-133)\/(-56). Let d(a) = -a - 6. Let t be d(-7). Let n = -1 - t. Put -4, h, n in descending order.\nAnswer: h, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 790375194 by 6541.\nAnswer: 120834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32883560 divided by 31.\nAnswer: 1060760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -61?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-3)*1*6\/(-12). Let g be o\/(-18)*21 + -29. Let n(d) = 4*d + 3. Let f(y) = -y - 1. Determine g*f(h) - 6*n(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 589556831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 9*d**3 + 2*d - 4*d)*(0*d - 7*d + 17*d)*(4 + 46 - 1).\nAnswer: -1960*d**4 - 980*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0 - (-5 + 18 + -18)) + 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*x + 1811, -5*x = 9*p - 13*p - 3005. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 21*l**2 - 19*l - 15. Give j(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((0 + sqrt(19))**2 - sqrt(19))*-6 + sqrt(190)\/(5*(2*sqrt(10) - sqrt(10))))*-5.\nAnswer: -31*sqrt(19) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 1 - 1)*(758009 - 2750*a**3 - 758009).\nAnswer: 5500*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - d**3 - 12*d - 1 + 7*d**4 + 0*d**4 + 13*d + 4 + 0 in the form l*d**3 + b*d**2 + x + c*d**4 + p*d and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 + 2202*m**2 - 2204*m = 0.\nAnswer: -1102, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 3*b**2 - b - 3. Let l be x(-3). Let m be (-1)\/(31 - (-252)\/(-8)). Solve l = m*s + 8 + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1853 and 436.\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6804 = 31*z. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -63908432226?\nAnswer: 63908432224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -18. Let u = -7.5 + v. Suppose 4*o + 24 = 2*b + 8, 12 = -3*o. Sort b, u, -4 in ascending order.\nAnswer: -4, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547716599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -469 divided by -150\nAnswer: 469\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 4584?\nAnswer: 41256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 35. Let p = o - -13.7. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18*j**(14\/9) assuming j is positive.\nAnswer: j**(176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 less than -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r. Let s be ((-2)\/(-5))\/((-8)\/2160). Let y = 114 + s. Let f(g) = 15*g**2 - y + 21 - 15. Determine q(f(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from effje?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12392 - 12339. Calculate the remainder when 1374 is divided by d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 equal to 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 151026884 minus 1299?\nAnswer: 151025585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282467.6 months in decades?\nAnswer: 10687.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 3*o + 3 = -11*w, w - 2*o + 3 = 0. Put -5, w, 3\/13, 1\/2, 2 in descending order.\nAnswer: 2, 1\/2, 3\/13, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741920020 a multiple of 3339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.0666 litres to millilitres.\nAnswer: 31066.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -103, -6, 2 in ascending order.\nAnswer: -103, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16075238?\nAnswer: 2, 509, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 4*x, -6*i + 8*i + 25 = -86946*x + 86949*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 24536 = 111288. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 3*u**4 + 2*u + (-2 + 2*u**2 + 2)*(3*u**2 - 2*u**2 - 3*u**2) + u**4 - 5*u + 5*u + (-5*u + 2*u + 2*u)*(4*u**3 - 2*u**3 - 3*u**3).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 - 1. Let a be m(-3). Let y be (2 - (-32)\/(-28))*2975\/50. Calculate the highest common divisor of a and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68736890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (52 - (-38 - -114)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2) - (10850\/(-31))\/10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/217 - 10406\/1085. Which is smaller: i or -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-39)*3\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10632448457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.4. Let v = 3.5 - 0.5. What is the smallest value in m, 2, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 - 7*r**4\/12 - 5*r**3\/6 - 11*r**2\/2 - 2*r + 29. Calculate the remainder when a(-8) is divided by (-9)\/(-4)*64\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 133\/(-6*4\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/4, -3, -102\/5, -4, 2, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 68193, -2, 5, -1\/4, -4, 0.4 in descending order.\nAnswer: 68193, 5, 0.4, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, m: 2, q: 1, f: 2, c: 1}. What is prob of picking 1 x and 1 f?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/36 + -1 + (-21)\/(-27). Suppose -3*b - p = -17, 4*b - 5*p + 1 - 11 = z. Calculate the common denominator of (16\/(-15))\/((-2)\/b*-1) and -50\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (4 - -2) + 3 + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300)*2 + -3)*6 + -4 - (sqrt(1300) + (sqrt(1300)*4 + 4 - sqrt(1300)) + 4 + (1*sqrt(1300) - sqrt(1300)) + sqrt(1300))) + -1)**2.\nAnswer: -4340*sqrt(13) + 64661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-60)*60\/(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4639, -9236, -13833?\n\"Answer: -4597*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 14 - 7. Suppose b*s = 2*s. Suppose 5*y - 2*y - 102 = s. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -42, -33, -24, -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Let v(q) = -8*q - l + 9*q**2 - 18*q**2 + 6*q**2. Let d(n) be the second derivative of -n**4\/12 - n**3\/2 - n**2 + 2*n. Give 8*d(f) - 3*v(f).\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1329280, 2658190, 3987100?\nAnswer: 5316010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 9884*l**2 - 731408*l - 592 = 0.\nAnswer: -2\/2471, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 6*v**2 - v - 2. Let q be k(-2). Solve 4*l + 0*l = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3434 + -3408. Solve 8 = m*z - 24*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 26*g**2 + 0 - 48*g**2 + 3 - 4 - g**3 + 17*g**2. Let o(x) = 2*x**3 + 11*x**2 + 2. Calculate -7*k(h) - 4*o(h).\nAnswer: -h**3 - 9*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4105 is divided by 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Solve -s = -3*c - w*s + 11, -c - 3*s + 17 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 14) to base 8.\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 2. Let l(f) be the first derivative of -f - 6. Let d(i) = 4*l(i) - y(i). Let c(w) = 9*w + 4. What is 4*c(a) + 7*d(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j - 133. Give h(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 782?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvokvw. What is prob of sequence vww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28359*c**4 - 2*c**3 + 29645*c**2?\nAnswer: 680616*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46157.19553 - 46157. Round m to 3 dps.\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from yascydst?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836 by -209.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34049?\nAnswer: 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*1)\/(((-40)\/(-14))\/(-10)). Suppose 16*z = g*z + 72. Solve 0 = 5*v + q + 4, z = -3*q + q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 280*t**2 - 551*t - 146. What is w(138)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, 288, 804 in descending order.\nAnswer: 804, 288, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 17878 - 17750 = 11*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 n, and 1 v when four letters picked without replacement from wlwdwwvnrnrlwwrlw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 900099 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by 83.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/3 + 96*b**3 + 290*b**2 + 872*b\/3 + 97 = 0?\nAnswer: -1, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-5)*5\/2. Suppose z*x - 36 = -12. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose -4*s - 29 = 3. Let k be (s\/(-10))\/((-3)\/a). What is the third biggest value in k, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*n + 299 = 250*j - 93*j, 5*n = 5 - 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:24 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5171343 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19 - (4 - 4)) + 1. Solve -5*r - g = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1044 - 318\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -2.21702211\nAnswer: 1.108511055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 10. Sort c, -5, 3 in ascending order.\nAnswer: -5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 7, i: 1, t: 2}. Give prob of picking 2 c and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d - 8. Let y be (-600)\/304 - (d + 0). Let z = 63\/494 + y. Which is the third smallest value? (a) z (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1254)\/88 + -31 + (-1 - -4) - (-4)\/16.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 1241*v**4\/12 - 7*v**3\/6 - 72*v**2 - 1286*v - 2. What is the second derivative of a(i) wrt i?\nAnswer: 2482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*x - 29 = x, -24 = -3*y - 4*x. Solve -1 - 3 = -y*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(3*sqrt(1700))**2 + -2*(sqrt(1700) - 2*sqrt(1700))**2.\nAnswer: -49297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnuadunuvuddnf. Give prob of picking 1 f and 1 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:00 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-169491)\/(-7161) + -24 + 8\/22?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = 105. Suppose -11*m = -m - 60. Calculate the remainder when z is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 39\/787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*o + 5*g, -o + 0*g = -g - 7. Suppose 0*u - o = -u - 2*c, 4*c = 4*u + 36. Let f be 2\/10*2 + 3\/(-9). Sort 0.2, u, f in ascending order.\nAnswer: u, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 8*v - 2*v)*(-741 + 741 + 54*v)*(-4*v + 3*v + 0*v).\nAnswer: 540*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4692*j + 113. Let v(o) = -1173*o + 25. What is 9*v(w) - 2*z(w)?\nAnswer: -1173*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:47 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -41. Suppose -73 = -5*v - r*i + 2*i, v - 5 = 3*i. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 2*i - 38 = 0, 2*i = -2. Let y(o) = -6*o - 2*o**2 + 3*o**2 + 11 + 0*o. Is 27 a factor of y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4 = 0, 4*h = h - 5*w - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-22) - 14398\/506) + -6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 201. Does 20 divide -10*(3 - d\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3\/(-3) + 9). Calculate the least common multiple of 2\/(-6)*(0 - 36\/3) and c\/(-24)*(-1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 685 and 1?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 82. Let h = 11 - -2. Calculate the remainder when b is divided by h + 0 + 0 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.9 - -22. Let y = g + -3.1. Let s = -66 - -74. Sort s, 3, y in decreasing order.\nAnswer: s, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*y + 96*y + 96. Which is bigger: 54 or y?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 72017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) -1.377 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q**3 + 144*q**2 - 172*q + 1384. Give d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278085945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-21036)\/(-780) - 1755\/65\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**3*z - 15*h**2 - 2*h*z**2 + 578*z**2 wrt h?\nAnswer: -3*h**2*z - 30*h - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12412902 is divided by 144336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 540\/29 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6653.869 hours to microseconds.\nAnswer: 23953928400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-2)\/(-3)*-3)\/(160\/56).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12548835 by 107255.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3040659 and -321.\nAnswer: 3040338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txtxttx. What is prob of picking 3 t and 1 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 3*f**2 - f + 3. Let i be x(3). What is i rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 185. Let w be v(0). List the prime factors of -1 - w\/5 - 3.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 29 + 12*f**2 + 16 - 11*f - 31. Calculate the remainder when b(3) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.5032 + -0.0968. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oez when three letters picked without replacement from {e: 1, c: 5, z: 1, o: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29307 - 30019. Which is the fourth biggest value? (a) 0 (b) 4 (c) k (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3 - 9. Let t(d) = 4*d**3 + 9*d + 9. Let j be t(-1). Which is the nearest to -1? (a) j (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 35016491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/31317629 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 4. Let h be o(-5). Let u be (-2562)\/(-36) + (-1)\/6. Suppose u - 19 = -13*g. Put g, -5, h, -2 in descending order.\nAnswer: h, -2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20799647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyxyyryryyxxyyy. Give prob of sequence yx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5275724 is divided by 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 536aa (base 12) to base 10\nAnswer: 109858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*f - 92, -3*f - f - 3*c - 156 = 0. Let x be (2 - 0)\/(2*4\/f). Calculate the remainder when 12 is divided by x\/(27\/(-4))*9\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1\/3, -21044.84, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 850, 635, 422, 211?\n\"Answer: a**2 - 218*a + 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -299, -697, -1359, -2339, -3691, -5469?\nAnswer: -7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 12*d**2 + 13. Let n be u(12). Solve 3 + n = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20567 and 393.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d - 7. Let a be m(5). Suppose 0 = 5*f - 7 - a. Suppose 3*r + 35 = 134. Calculate the greatest common factor of f and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2555 = 5*b + 3*o + 2517, -4*o - 3 = -b. Let n(j) = -13*j + 70. Calculate n(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -2.488\nAnswer: 0.52248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 428, 411, 390, 365, 336, 303, 266?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27193581181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 22*w = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 432. What is the highest common divisor of 82 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/58460 and -71\/729960.\nAnswer: 27008520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 0*x**4 - 1 + 61*x**3 - 61*x**3 - 2*x**4 to the form f*x**3 + m*x**2 + n + y*x + l*x**4 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-770)*-7*3.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 32. Suppose -h*m = 5*m. Solve -3*r + 0*r + 6 = m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcltlggccc. What is prob of picking 1 c, 1 l, and 2 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 73*a - 26. Let g be i(15). Factor 0*j - 383*j**4 - 3*j**3 - 3*j**2 + 382*j**g - j.\nAnswer: -j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*(n\/(n\/n**(-5\/4)))\/n)\/(n*n**1)**(-1\/6) assuming n is positive.\nAnswer: n**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*y = 40 + 436 + 646 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4813684, 4813687, 4813688, 4813687?\n\"Answer: -b**2 + 6*b + 4813679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*v**4 - 59*v**4 + 122*v**4 - 69 wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - q**2 + 5*q**2 + 7*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**3 - r**2. Let j be -1 + 0\/(6 - 3). Let t be w(j). Let b = t - 5. Put 0, b, -3 in decreasing order.\nAnswer: b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s. Suppose -53*i = -55*i + 4. Let f be 4\/(-3)*6\/(-4). Let x(p) = p + i + p - f. Determine v(x(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02098348 to five decimal places.\nAnswer: -0.02098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 5. Let o = -16 - -8. Let t(h) = h + 4. Let m be t(o). What is i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033845891 to five decimal places.\nAnswer: 0.00338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6316*p + 1080023. Determine i(171).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-18) - (16\/(-18))\/(-4). Let k(b) = b**2 + 1 - 5*b**2 - 10*b + 10*b. What is k(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 5*z = -3*b - 29, -b + 4*z = -17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -3*r + 1, -4*a = -r - 13. Let s be a\/(-12) - (-32)\/6. Solve s*l - 4*c + 3*c = -20, -l - 8 = -c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbb when four letters picked without replacement from ssbbuuubuususub?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 + -0.58. What is the nearest to -2 in g, 0.5, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**6\/90 - 92*v**5\/15 + 4232*v**4\/3 - 1557376*v**3\/9 - 200*v**2. Factor h(o).\nAnswer: 4*(o - 92)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 22. Let g(l) = -3*l - 21. Determine -5*g(o) + 6*x(o).\nAnswer: 3*o - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*((sqrt(96) - (sqrt(96) + (sqrt(96) - (sqrt(96) - (sqrt(96) - sqrt(96)*-1))) + sqrt(96)))*1)\/(sqrt(98)*3) + 4)**2.\nAnswer: 2267\/49 + 192*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1592*i + 13. Let z(b) = 3186*b - 25. Let h(m) = 10*l(m) + 6*z(m). Let v be h(-5). Round v to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.6957 micrometers to centimeters.\nAnswer: 0.04286957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 3. Let t(g) = 7*g + 149. Let f be t(-22). Let c(m) = -2 - 2 + 3. Determine f*c(u) + 2*s(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19295 and 29056?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -10.331?\nAnswer: -227.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 174. Let g(t) = t**3 + 9*t**2 + 17*t + 14. What is the remainder when c is divided by g(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)\/(a\/(a\/(a*a*a\/a**(-12)))))\/((a**5*a*a)\/a*a*a*a*a*a\/(a\/a**(-13))) assuming a is positive.\nAnswer: a**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 769781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aacacaa. What is prob of picking 3 a and 1 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(128) + -2 + sqrt(128)*-1)**2*-5 + (1*(sqrt(128) - (sqrt(128) + (0 + sqrt(128) - sqrt(128)))) + 2)**2*4 + 3.\nAnswer: -16001 - 800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 574995 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 + 1758 = 5*w. Let o = w - 662\/3. Let c = -6\/91 - -976\/1001. Find the common denominator of o and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 17. Which is the second biggest value? (a) -1\/5 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 x when four letters picked without replacement from xymmxxyxyxymxmy?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/120 + c**5\/12 + 5*c**4\/24 - 7*c**3\/2 + 18*c**2. Let l be x(5). Solve -l = 5*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (792\/(-495))\/(1\/10)*(702\/(-24))\/9?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/52)\/((-8)\/(-18)*-3)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-3)\/3 - 3. Let a(x) = -x**3 + x**2 + x + 56. Let k be a(g). Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639004401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -1 - 0 - -2. Solve 5 + 11 = -d*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = o. Suppose 5*l - 9*l + 1004 = o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015 a factor of 18174420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 55*z - 49. Let t be q(26). Solve 3*c = -2*s + 3, 2*c = 2*s - t + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 98*n**2 + 1174*n - 22. Let p be l(-12). Solve -a - 4*j = -4, a - 4 = -j + p*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 18, v: 1}. What is prob of picking 3 p?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/5, 4\/7, 0.59?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 64 (c) -6 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/18 - 7) + 530\/6. Suppose -19 = -2*i + s, -6*s - 9 = -3*s. What is the highest common divisor of m and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3\/2, 0.58, -230, 9\/2?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/380803?\nAnswer: 4\/380803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9611 = 4*d - y - 9629, -2*d + 16 = -y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/24*14\/3. Suppose 2*r - 80 = n*r. Let p = 16 + r. Is p not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*i**2 - 1660*i + 1664*i + 12 - 264*i**2 in the form k*i**2 + o*i + z and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + 216?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -41. Suppose 18 + 104 = c + 5*k, 2*c - 3*k - 205 = s. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2963615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13*y = 16*y - 10368, 12960 = 5*b - 4*y. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 - 13*f**2 - 20*f + 5. Let p(c) = -c**3 - 3*c**2 - 5*c + 1. Calculate -2*o(m) + 9*p(m).\nAnswer: -m**3 - m**2 - 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13336 - 13376.986. Let h = r - 0.014. Let q = h - -45. Which is the third smallest value? (a) q (b) 1\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10072 and 12.\nAnswer: 30216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -712, -1256, -2106, -3220, -4556?\n\"Answer: 7*m**3 - 195*m**2 - 8*m - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a factor of 680555898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9053902 and 0.6?\nAnswer: 9053902.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4061 and -37574.8.\nAnswer: -41635.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 69 = -111. Let i(u) = 17 + 16 + x*u**2 - u - u**3 - 13. Let c be i(20). Do c and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 30694 = n, 3*n + 38*g - 92042 = 36*g. Is 102 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 446, 1544, 3684, 7214, 12482, 19836?\nAnswer: 29624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2169 (b) 0 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*o**5 + 2010*o**4 + 7015*o**3 + 8780*o**2 + 4780*o + 960 = 0. What is o?\nAnswer: -1, -2\/3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3595, -3077, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 361028206 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 147, 330, 585?\n\"Answer: 36*l**2 + 3*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2438365*z**2 - 2699*z + 495.\nAnswer: 4876730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725 divided by 75?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 2?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 5, l: 2, a: 6, c: 2}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0*l**3 + 0 + l**2 + 4*l - 1\/3*l**4. What is the derivative of g(v) wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25731927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24960*p - 3104 - 16239*p + 3104 in the form s*p + x and give s.\nAnswer: -41199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/108*3*(-1821)\/(-66770).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -4\/3, -173?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2790.89781 to the nearest ten.\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = x - 8, -3*x + 5*y = 2 + 2. Suppose 0*t = -x*t + 28. What is the highest common divisor of t and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509622?\nAnswer: 2, 754811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14*h*h**15 assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.8. Which is the smallest value? (a) 0.06 (b) t (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5493 + 0.7697. Let a = 5.2 - s. What is a rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 2*d - 17. Let j(q) = -q**2 + 49*q + 721. Let i be j(-12). Let f(c) = 2*c**2 - c + 9. Give i*f(l) - 6*p(l).\nAnswer: -4*l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1*(-25)\/(-10). Suppose -9*u + 4*u = -d. Is 13 a factor of 5*((-21)\/(-5) + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13201 - -5?\nAnswer: -13152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:32 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 17 - (-5 + -1) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20366163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135328401 to the nearest integer?\nAnswer: 11633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and 33\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 19 = 4*d - 3*d, 5*d - 2*c = 26. Let h(k) = 2*k - 2. Let b(p) = 2*p + 4*p - 3*p - p - 3. Calculate d*h(n) - 3*b(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(392) + -1*sqrt(392)))\/(sqrt(4) + -2*sqrt(484) - ((sqrt(484)*2 - sqrt(4)) + sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 4*p - 22. Let b be l(10). Suppose 0 = -4*z - 118 + b. Suppose -k + z = k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4592380 and -17\/54028.\nAnswer: 4592380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 6*j**2 + 5. Let q be a(6). Suppose -z - 2*i + 0*i = -4, 3*i - 6 = -z. Let v(c) = z - 5 + 0 + 2*c. Calculate v(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 - -327. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6217 = 2*l - 6227, d + 5*l = 32 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15 + 25*z + 20*z - 25*z + z**3 - 14*z**2 + 6*z. Is i(13) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 5, 0.1, 4 in ascending order.\nAnswer: -137, 0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*b**2 - 50 + 50 to the form s*b + j + c*b**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 - 12*w**2 + 6*w + 9. Let b(s) = -13*s**3 - 25*s**2 + 12*s + 15. Let m(q) = -6*b(q) + 11*n(q). What is the hundreds digit of m(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**4 + d**2 + 0*d**2 + 0*d**4 + 8*d**4 + 3839*d**3 - 3524*d**3 + 2 to s + n*d**3 + c*d + l*d**4 + j*d**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*f + 0 + 5 = 0, 0 = w + 5*f + 20. Let l = 554.66 - 553. Let i = 1.26 - l. Which is the nearest to -1\/5? (a) i (b) w (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-12)\/(-10). Suppose -4*z + 2*u = 140, -8*u + o*u = z + 35. Let a be 20\/(-8)*4\/z. What is the third biggest value in -1\/3, a, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60206*b**6 - 2*b**3 + 65401*b**2?\nAnswer: -7224720*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201408 is divided by 66214.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*24\/18. Let x be (1 - 1)*2\/k. Suppose x*v = -v. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 10*n**2 - 26*n + 7. Let v be j(5). What is l in 0 + 1\/2*l + 1\/2*l**4 - 1\/2*l**v - 1\/2*l**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*x = 2*x - 5, -20 = -l + 4*x. Let h be -4*(l + 52\/(-8)). Suppose -b = -2*b + h. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0*t**3 - 1\/255*t**6 - 1\/51*t**4 - 3\/170*t**5 - 24*t + 0*t**2 + 0. Solve d(u) = 0 for u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + 0.4. Let b be 1\/(-6)*(-4)\/3. Let a = -4\/63 - b. What is the second smallest value in a, n, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Suppose -2*h - h = 2*h. Let q(x) = -26 + x + 27 + h*x. Give -6*q(k) + 7*u(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 3*g**5 + 3*g**5 + (-2*g**3 + 16*g**3 + 3*g**3)*(-g**2 + g - g).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45277\/(-3230) - -14)\/(3\/5)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((((g\/(g\/g**(-1)))\/g)\/g)\/g))\/g*(g*g**1)\/g*(g\/(g**(-2)\/g))\/g**0 assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -43918017819.\nAnswer: -43918017817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 + 1. Does 2 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 15. What is the closest to 0 in 4, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3182 divided by 15?\nAnswer: -3182\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 762164476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 39*y - 605. What is p(14)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 20*z**2 - 1 - 3*z**3 + 3 - 18*z**2 + 25*z**3 in the form y*z**2 + h*z**3 + p + g*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1836, 7285, 16368, 29085?\n\"Answer: 1817*i**2 - 2*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 341, 2055, 6699, 15737, 30633, 52851, 83855, 125109?\n\"Answer: 244*f**3 + f**2 + 3*f + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7961*y - 6537*y - 1 + 15661*y)*((3 - 3 + 2)*(0 - 1 + 0) + 0 - 1 - 1 + (2 + 4 - 4)*(1 - 3 + 0)).\nAnswer: -9304*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1528*i**4 + 754*i**4 + 778*i**4 - 2*i**6 + 7*i**5 + 7059*i**2 wrt i?\nAnswer: -240*i**3 + 420*i**2 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-12)*(8\/(-20) - 3824\/(-10560))?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 75. Suppose 220 = -4*u - z. What are the prime factors of u\/(-10)*(-20)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(3*k**2 + 0*k**2 + 0*k**2) + (2*k + 2 - 2)*(3*k - 4*k + 2*k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 242. Let t = -171 + x. Calculate the remainder when t is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 (base 5) in base 3?\nAnswer: -21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -8.9999993. Round x to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -23 and -35.77 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -276369 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300587032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 + 8*r**2 - 21*r - 30. What is c(-5)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.55 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1314088 divided by 4.\nAnswer: 328522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 194*b - 83. Let u be s(26). Suppose 0 = 16*m - 111567 - u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*f = -28, -4*f + 70 - 10 = 5*p. Suppose -j - 4 = 3*d, -d + 2*d + j + 2 = 0. What is the remainder when p is divided by (-7 - -14) + (-2 - d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7111584nm?\nAnswer: 0.0007111584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Let h = m - 1. Suppose -24 = -7*a + 3*a + y, -4*a - h*y + 4 = 0. Solve 0 = -4*z - 2*g - 8, a*g = -2*z - 0*g + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129365785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 240190813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*j = -3*a + 96, 0 = -3*a - 4*j + 42. Let c be 1\/(-3) + -1 + 114\/a. Solve l = -5*g + 3*l + 12, -13 = -4*g + c*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 11. Let l(b) = -b**2 - b + 1. Let g(r) = -11*r**2 - 10*r + 9. Let m(j) = i*l(j) - 2*g(j). What is the second derivative of m(s) wrt s?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -10*g - 9884. Let y be g\/(-28) - 1\/2. Suppose -2*d - 3*d + 110 = 0. Calculate the greatest common factor of y and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = -5. Let k = 6 + n. What is the units digit of (12\/(-14))\/(k\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*x - 14, 0 = 5*w - x - 3*x - 6. Let z be w - (-2)\/(12\/14). Let n = 4 - 4.4. Sort -4, z, n in ascending order.\nAnswer: -4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 12 = 8*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128150, -127479, -126812, -126149?\n\"Answer: -2*u**2 + 677*u - 128825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 20.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*(-2 + 5*(sqrt(147)\/sqrt(3))\/sqrt(7) + 3) + 5))**2.\nAnswer: 8000*sqrt(7) + 71600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**3\/3 - 9*o**2\/2 + 3*o + 1. Suppose -r - i + 6 = 0, 4*i - 84 + 96 = 2*r. Determine h(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4 - 2*x**3 + 5*x**2 + 6*x = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025795 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-2)**2 - sqrt(171) - ((sqrt(133) + (sqrt(133)*-4 - sqrt(133)))*-1)\/sqrt(7).\nAnswer: -7*sqrt(19) + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59367 - 181090. Let s = k - -121649.047. Let y = -74 - s. Round y to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/912 and 103\/24.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r - 261 = -28*r. Suppose 4*t + 0*t - 112 = 0. Suppose 2*m - 6*m - t = 0. Is r bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4716?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 173*g**2 - 7*g - 26. Let a be d(-7). What is a rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40882411550 take away 3804?\nAnswer: -40882415354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000657353016 to six dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44503 - -2?\nAnswer: 44505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 = 4*p, -3*p = -7*p - 3*v + 11. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -872.15 + 892. Let f = r - 20.2. What is the fourth smallest value in f, 2, 1, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1056 + 2 + -7)*-7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 6*g**2 - 115*g + 53. Let o be r(10). Solve -2*m = 4*a - 10, -5*m = 4*a + a - o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o*o**(-9)*(o**(2\/11))**(2\/53))**(-1\/5) assuming o is positive.\nAnswer: o**(22134\/14575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02108 + 71388497.\nAnswer: 71388497.02108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3559723, -3559716, -3559705, -3559690, -3559671?\n\"Answer: 2*z**2 + z - 3559726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100312303 (base 4) to base 11.\nAnswer: 47967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/329 - 362\/987. Let r be 1\/(-2) - ((-3)\/(-42) + 0). Which is the closest to -2? (a) r (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -6 - (-6 - 6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102.05 + 103.05. Let x = -0.31 - -0.01. What is the nearest to k in x, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/11)*(z\/(z\/(z\/(z\/(z**11*z)*z*z))))\/z*z*z**(2\/13)\/z*z**(-3) assuming z is positive.\nAnswer: z**(893\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -153*x + 6. Let d be i(2). What is d rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368 + 520. Let z = 2 - l. Let v = -81 - z. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 - 7 = -5*r, 2*k - r = -2. Let l = k + 2. Let o be 2\/24 - 1598\/(-408). Solve 0 = 3*u - l - o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 r when four letters picked without replacement from {v: 7, r: 5}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - 1*sqrt(240)*2) - 2*sqrt(240)*2)\/(-1*sqrt(432) + ((sqrt(84) + (1*sqrt(84) - sqrt(84)) - sqrt(84)) + sqrt(84))\/sqrt(7)))**2.\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462132?\nAnswer: 2, 41, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-5 - -4)) + -2 - -7. Suppose j + f*v - 1132 = 0, 17*j - 13*j + 3*v = 4613. What are the prime factors of j?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -652, -2739, -6216, -11083, -17340?\n\"Answer: -695*x**2 - 2*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:17 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 1. Let l(g) be the second derivative of -g**3\/2 - 5*g**2\/2 + g. Let j(p) = 2*c(p) - l(p). Does 6 divide j(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let l(m) be the first derivative of -1 + 3*m**2 - 1 - m**2 + 4. What is l(y(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19917, -19913, -19899, -19869, -19817, -19737, -19623?\nAnswer: -19469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m**3\/27 + 16*m**2\/9 + 128*m\/9 + 27. Find x, given that u(x) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000067959691 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ca06 + -3?\nAnswer: -2ca09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*t**2 - 112*t**3 + 115*t**3 - 1199*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 2*r - 4*r)*(0 - 2 + 3 + (2 + 0 - 1)*(-4 + 5 + 1) - 5 + 3 + 0)*(0*r + r + 0*r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1715*p**6 - 8063*p**2 wrt p.\nAnswer: 205800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4858, -5\/177, -2\/7?\nAnswer: 4858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-382)\/(-8) - (-2)\/8. Suppose 0 = 5*u + c - 533. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*w)**(2\/131))**(-25) assuming w is positive.\nAnswer: w**(-75\/262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-40) + (-1)\/(-4). Is (d - -494)\/(6\/(7 - 4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y. Let f(o) = 2*o. Let t(n) = n**3 + 7*n**2 + 7*n + 8. Let v be t(-6). Let k be f(v). Let x(m) = -k*m - 4*m - m + 11*m. Give h(x(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 544367543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296799 or 296797?\nAnswer: 296797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(10)\/sqrt(2)))**2 + sqrt(52)\/(sqrt(4)*2) + (2 + sqrt(1573) - (sqrt(104)\/sqrt(4))\/sqrt(2)).\nAnswer: 15 + 21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982099, 1964200, 2946301?\nAnswer: 3928402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1133209, -2266413, -3399617, -4532821?\nAnswer: -5666025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 2*y + 4*y**2 + y**3 + 2 - 6*y. Suppose -4*t = -8*t - 16. Let v be m(t). Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 + 5*u - 1. Suppose -18*s + 176 = -13*s + 26. What is the remainder when s is divided by q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5610*x + 586*x - 3551*x + 1427*x)*(2 - 2*x**2 - 2) as t*x**3 + q + o*x**2 + r*x and give t.\nAnswer: 14296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(44\/(-22))\/(-1*4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.2, -15500?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -394*f + 2 + 0 + 403*f + 45. Give w(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 117*w - 27. Let o(j) = -9*j + 2. Suppose -672*x + 1188 = -628*x. Give x*o(t) + 2*m(t).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(49))\/sqrt(7) + sqrt(28)\/(sqrt(4)*2))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 1176848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2542639 and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 9 + (-3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -673972560 divided by -2736?\nAnswer: 246335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 78*s - 34*s - 877*s**2 - 6*s - 37*s.\nAnswer: -877*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 + 40?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6280\/15700)\/((-4)\/(-150))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/3, 2, -6 in increasing order.\nAnswer: -6, -2\/3, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12*(-30)\/(-20)*(-6)\/(-1). Factor 12\/5 + 3\/5*j**2 - p*j.\nAnswer: 3*(j - 4)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 - r. Let c be g(-4). Suppose k + c = 5*k. Suppose -k = 5*o - 213. Solve -5*h - o + 10 = -y, 0 = 4*h + 3*y + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/630)\/((-3)\/9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 13 - (-56 + 69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 4:43 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 2835\/70*4\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -5 (c) -1\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19991, 20043, 20089, 20129, 20163, 20191, 20213?\n\"Answer: -3*s**2 + 61*s + 19933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 46, 4, -290, -4, 1 in descending order.\nAnswer: 46, 4, 2, 1, -4, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1 - (100 + -101)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z - 588. Let r be h(35). Let k(g) = -7*g**2 + 14*g + 2. Let u(f) = -6*f**2 + 13*f + 1. Let c(p) = -5*k(p) + 6*u(p). What is c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*i - 7 = 0, -5*d - 5*i + 17 + 8 = 0. Suppose 5*a - 3*u - 12749988 = 0, -d*a + 10*u - 6*u = -5099984. What is a rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {j: 6, u: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - -8 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-15))\/((-1)\/24). What is the units digit of (m\/10)\/(4\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 33*q**2 + 4*q + 4. Let z(x) = -98*x**2 - 11*x - 11. Let l(h) = 11*g(h) + 4*z(h). Let f(d) = -99*d + 28*d + 42*d + 31*d. Calculate f(l(a)).\nAnswer: -58*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/5, 3605?\nAnswer: 3605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -2.1, -5, -2, 1\/11, 6.\nAnswer: -5, -2.1, -2, -6\/11, 1\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0512853 days to nanoseconds.\nAnswer: 4431049920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 46*d - 292. Give h(8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let c be 136\/56 + p\/(-7). Solve 2*g = -h - c*g + 9, -5*h = 5*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h. Let d(s) = -s**2 - 3*s + 3. Let f(i) = 2*i**2 + 7*i - 7. Let l(r) = 7*d(r) + 3*f(r). What is l(b(a))?\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -27. Let u = -23 - y. Suppose 6*m + 3*q = u*m + 739985, -4*q - 20 = 0. Round m to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39484*f = -39381*f + 2472 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -59.99695. Round n to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(133)\/sqrt(175) + 3 + (-3 + sqrt(19))*3 + sqrt(19))**2.\nAnswer: -462*sqrt(19)\/5 + 11404\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 3. Let a be y(-6). Let z(s) = -s - s**2 - 7 + 0*s**2 - 3*s - a*s. Let w be z(-5). Solve -9 = -0*x - w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 1238, 2852, 5122, 8054, 11654, 15928, 20882?\nAnswer: 26522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65060 by -5.\nAnswer: 13012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -0.0518\nAnswer: 0.03626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -267*f**2 + 4094*f - 5001. Give p(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.84228247 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 9*h**2 - h - 4*h**3 + 2*h**3 - 2*h. Let n be z(-3). Solve 4*i - 8 = -n*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.2, -35815, 1\/6, 3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 274824 (b) -48 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -1) + -23*5\/(-40). Sort 2\/13, 5, c, 0 in descending order.\nAnswer: 5, 2\/13, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/12 - 3)*8\/(-42). Let s(y) = y - 2. Let h be s(3). Let g(d) = d + 1. Let q be g(h). Sort q, k, -0.4 in increasing order.\nAnswer: -0.4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((-2*(sqrt(40)\/sqrt(4))\/sqrt(5) - (4 + (sqrt(32)\/sqrt(4) - sqrt(8)))) + -1).\nAnswer: 2*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + c**3 - 1 + (-15*c**2 - 15*c**2 + 7*c**2)*(-8*c - c - 5*c) + (2*c + 2*c**2 - 2*c)*(-2 + 3*c + 2).\nAnswer: 329*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 388414699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3430 + -3362. Calculate the greatest common divisor of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-405))\/((-12)\/27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 30*b + 63. Let y be o(2). Let j(c) = -2*c - 6. Let p(w) = -4*w - 13. Give y*j(t) + 2*p(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(sqrt(48)\/(sqrt(32)\/sqrt(4)))\/(-2*2*sqrt(800))*-6.\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 - 4 = 0. Let z be 39\/(-26)*(-52)\/3. What is the remainder when 3*r\/9 + z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019936.\nAnswer: 2, 31873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -330*n**2 + 18*n**4 + 2 - n**4 + 169*n**2 + 2*n**3 + 163*n**2 as y + d*n + s*n**4 + q*n**3 + o*n**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -68*w - 2216. Let v be s(-36). Solve 231*u + 4*o = v*u, -o - 1 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 + 0) - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 4 + 3*c**3 - 5*c + 2*c**2 + 5 to the form h*c**3 + p*c**2 + u + q*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (32 - 33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let c(o) = -4*o. Let j(g) = 5*g. Let n(r) = 16*r - 3. Let f be n(-3). Let i be f\/9 - 2\/(-3). Let v(s) = i*j(s) - 6*c(s). Determine v(y(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/9)\/(639\/(-9798)) and -37\/17013.\nAnswer: 153117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*x + 3*a + 17 = 820*x, -a + 1 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19525*w*x**2 - 2*w*x - 393*w + 53*x**2 - 10145 wrt x.\nAnswer: 39050*w*x - 2*w + 106*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -667, -1002, -1337, -1672, -2007?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*l - 10, -2*f + 2 = -l - 9. Let a(z) be the second derivative of -1\/4*z**f + 0 + z**3 - 3\/2*z**2 - 2*z. Factor a(j).\nAnswer: -3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 12, h: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - f - 1 - 8 + f. Let r be g(6). Suppose -5*l = r, -2*l - 16 = -c - 0*l. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -926 + 3519*a + 1858 - 932 as i + x*a and give x.\nAnswer: 3519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5))**(-2\/17))**26)**(-4\/5) assuming r is positive.\nAnswer: r**(-416\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48039 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 110*t - 157. Determine o(54).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*-1*(-3)\/(-6). Suppose -2*l + 12 = 2*n, -q*n = -l - 2*l + 30. Let r(w) = w - 5. Does 2 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 9 = -39. Let k(i) be the second derivative of -1\/20*i**5 + 0*i**y - 1\/6*i**4 + 2*i + 0 + 1\/2*i**2. What is k(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from ssxssxsxsxsx.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 54*m**2. Let q(u) = 2223*u + 2223*u + 21*u**2 - 4446*u. What is q(o(h))?\nAnswer: 61236*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1151*z**4\/6 - 1115*z**2 + 678*z. What is the first derivative of j(i) wrt i?\nAnswer: -4604*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3276471 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11293\/12 - 939. Let b = 569240\/37 - 15386. Let j = b - 1309\/444. Calculate the common denominator of c and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80b1c2b - 1?\nAnswer: 80b1c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54915659*q**5 + 43625147*q wrt q.\nAnswer: 1098313180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 324. Is 51 a factor of u(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 times 1.4\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -222*p - 100. Is 61 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from rwrjjjjjrjwjjjjwjr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 56*o + 573. What is b(45)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r**2 - 18*r - 39. Give f(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:00 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 477 - 517. Let n be 10*-5*4\/a. Solve 0 = 5*o + 2*h + 22, -5*o + n*h - 3 - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113 - -122) + (0 - 14) + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 2. Let v(c) be the first derivative of c**2\/2 - 151. Calculate -n(l) - 8*v(l).\nAnswer: -10*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87385.25 micrometers in nanometers?\nAnswer: 87385250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29097?\nAnswer: 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.7\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 8*w - 50*w - 107 + 54 + 19*w - 62*w.\nAnswer: -101*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.04 - -0.76. Let y = 2.18 + r. Do y and 65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538319?\nAnswer: 431, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f + 6. What is k(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21121*c - 1368*c**3 - 431 + 21120*c - 1873*c**3 wrt c?\nAnswer: -19446*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7296 + 11472. What is the highest common divisor of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1286 - 703.1286. Let x = 702.008 + g. What is x rounded to 2 decimal places?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**6*z - 2*l**5*z - 2*l**2 - 2*l*z - 3*l wrt l?\nAnswer: -960*l**3*z - 120*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d**5 - 193*d - 118*d + 19*d**5 + 11*d**2 - 6 + 438*d + 4*d**2 wrt d?\nAnswer: 100*d**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45749432.\nAnswer: 2, 5718679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100 - -100?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 19*p - 24. Let o be 99\/(-6) - (-2)\/(-4). Let g be x(o). Suppose v + 5*u = 1 + g, v - 17 = -3*u. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101635 + -4635?\nAnswer: 64000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -184 less than -182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-24 + 73)) + -18 + (-1 - -6)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l - 324. Let q(a) = 3*a - 108. Calculate 11*q(y) - 4*t(y).\nAnswer: y + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4133 is divided by 513?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -204031.2.\nAnswer: -204029.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 6*p**2 - 5*p**2 + 0*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 = s. Let o = 9 - s. Solve 0 = 5*c + o - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25297619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123906 or -123908?\nAnswer: -123906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3953 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pchcchccpccc. Give prob of picking 1 h and 2 p.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2*(-1)\/(-2) - 52195\/(-33215). Which is the third biggest value? (a) -5.07 (b) g (c) 4 (d) -0.5 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/15)\/(2\/(-3)). Suppose -h = -4*v - c + 4, -v = -c - 6. Suppose v*k - 26 = 64. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - z - 9. Let r(a) = 2*a**2 + a + 8. What is 6*c(h) + 7*r(h)?\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 8*(0 + 30)\/(-3). Suppose s - 2*s = a. Let u = 116 + s. What is the remainder when u is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 628 and 3923.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)*w\/(w*w**(-30)*w*w*w))\/((w\/(w*w**9\/w*w))\/w**(-27)) assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 5*c**2 + 2*c + 7. Let b be r(-5). Let k = -0.3 + 0.1. Let w be (-40)\/44 - (-5)\/(-2 - -7). What is the closest to k in -4, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -19. Suppose 2*u + u = -t. Let l(g) = -2*g**2 - g + 1. Let i(s) = 4*s**2 + 2*s - 2. Determine u*i(r) - 11*l(r).\nAnswer: -2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10312202000 + -30?\nAnswer: 10312201310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -63674*q**2. Let u(t) = t. Calculate u(x(b)).\nAnswer: -63674*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**3 + 104*v**2 - 720*v + 37. Calculate i(-20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4\/5, -124\/11 in increasing order.\nAnswer: -124\/11, -1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11033212 (base 4) to base 12\nAnswer: 1051a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-44)*83\/(-3). Let q = r - -423\/20. Let y be 3 + (-30)\/7 - -1. Which is the second biggest value? (a) y (b) -2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 - 6)*(-j - j + 0*j) + (-4*j - 8*j + 2*j)*(-1 + 1 - 2) + j - 2 + 2 + 4*j - 2*j - j to the form f + o*j and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 172870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 143*f = 0. What is f?\nAnswer: 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 4 + 6)*(1 + 3 - 2) + (-1 + 1 + 2)*(1 + 2 + 0))*(-50 + 3*p + 39 - 2*p) to d*p + m and give m.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13960 = -223*w - 223*w + 9678 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.73 + 0.23. Let f be ((-15)\/30)\/(4\/(-32)). Is b less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/120 - j**3\/6 - 3*j**2. Let d(k) be the first derivative of z(k). Let i(l) = l. Determine i(d(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**10\/o))\/(o\/(o\/o**(-8))))\/(o\/((o*(o\/(o**0*o))\/o)\/o))**(-23) assuming o is positive.\nAnswer: o**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 66 = -2*f - 4*n, 3*f + n - 92 = 0. Let v = -28 + f. Solve v*l + 20 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174536 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -132946 and 58.\nAnswer: -132888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60521?\nAnswer: 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432883, -865764, -1298645, -1731526?\nAnswer: -2164407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -551*u + 1. Let d be l(-1). Suppose 0*q + 4*q = d. What is the second derivative of -11*n - q*n**5 - 7*n + 131*n**5 wrt n?\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/c*c**(1\/2))\/((c\/(((c*c\/(c*c**(1\/3)))\/c*c)\/c)*c)\/c)**(-5\/2)*(c**(-1\/5)\/((c\/c**4)\/c))**(-3) assuming c is positive.\nAnswer: c**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/12 - c**3\/6 - 2*c**2. Let a = 21220 - 21227. Calculate b(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18352)\/1736 - 11*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 288 = 3*v. Round v to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4615 divide 33696885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2543027, -5086049, -7629071?\n\"Answer: -2543022*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36038\/259 - 8\/7. Let a = 132 - f. Suppose 8 = -0*u - 2*u. Sort -0.4, u, a in ascending order.\nAnswer: a, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120648550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660 - 645 - (8 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 671?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.046 - -0.046. What is the nearest to 0 in w, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972458759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3454*c + 6*c**3 + 2*c**4 - 8*c**4 + 3452*c - 14 to the form q*c + z*c**3 + r*c**2 + x*c**4 + v and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + 1\/1. Let z = -890 - -892. Factor a**z + 2*a**2 - d*a**2 + a.\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose 8*z - d*z - 105 = -5*p, 0 = 4*p + 12. Let t(q) = -q + 9. What is the remainder when z is divided by t(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Suppose 0 = 7*g + 424 - 508. Let j = g + -8. Let m(y) = -5*y + 2. What is j*w(c) + m(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 3570.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/(c*c**(-1)\/c))**14 assuming c is positive.\nAnswer: c**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14014 divided by -26?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.101443 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13 = 10. What is the remainder when 24 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 - m**5 - m**5)*(8 + 30 + 14)*(0 + 6 - 4).\nAnswer: -416*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*p + 34*p - 66*p)*(0*p - 4*p + 2*p + 0 + p + 0 + (0*p - 2*p + 3*p)*(2 - 2 + 5)) + 31*p**2 + 2*p**2 + 34*p**2.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5484107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823569767 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + -7 - (-1)\/(80\/(-158)). Let r(a) be the third derivative of 0 - d*a**4 - a**2 - 1\/5*a**3 + 0*a + 1\/100*a**5. Suppose r(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - (-17 - -6) - -20) + 25.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 2*g**2 + 3*g + 2. Let o be (5\/(-3))\/((-3)\/(-9)). Let z be -2 + (-6)\/(-2) + o. Is t(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/45)\/(28\/(-63))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 32231?\nAnswer: 32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 1 + 34 - 34 - 2 - 2.\nAnswer: -3*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2015, 2, -51?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 32 = -2*s, 0*z + 3*z = -5*s + 50. Let r(c) = -c**2 + 8*c + 19. Let b be r(z). Is 17 a factor of b\/(-3) + (-150)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(627)*2)\/(6*sqrt(44)\/sqrt(4)))\/((sqrt(12) - sqrt(144)\/sqrt(3))\/(sqrt(4) - (-2*sqrt(48))\/sqrt(12))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/5 - 64*s\/5 = 0?\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -5, -24 in increasing order.\nAnswer: -44, -24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111883850 by -55941925.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34959139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 23*t - 17. Let o(u) = 8*u - 6. Let h(c) = 17*o(c) - 6*x(c). Let i = 11 + -9. Let s(z) = -3*z + 6*z - i + 2. What is s(h(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. Let n(t) = -t**2 - 4*t - 5. Let k(s) = -s**2 - 2*s - 2. Determine z*k(a) - 2*n(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/41, 6, 2, -1\/223 in decreasing order.\nAnswer: 6, 2, -1\/223, -2\/41, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r. Suppose -3*k = -5*k + 4*w + 8, r = -k + w + 1. Which is greater: -11\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 155635.6mm?\nAnswer: 155635600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*i**4 - 17 + 22 - 41 wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 3*b**2 + 12*b + 20. Let a be k(-5). What is the derivative of -21*y + a*y + 18 - 14*y + 15 wrt y?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -26460?\nAnswer: -26457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 7, -7, -29, -59?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875111.\nAnswer: 379, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 269, 259, 239, 203, 145, 59, -61, -221?\n\"Answer: -a**3 + a**2 - 6*a + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 164, 776, 2434, 5660, 10976, 18904, 29966, 44684?\n\"Answer: 87*z**3 + z**2 + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 6 + 5*u - 3*u. Let p be o(5). Let m = -0.1 - -0.2. What is the closest to m in -5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293007?\nAnswer: 3, 11, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 6*h**2 - 7*h - 15. Let k(r) = -2*r**3 + 5*r**2 - 6*r - 14. Let d = 7505 - 7499. Calculate d*k(q) - 5*j(q).\nAnswer: -2*q**3 - q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65133002*j**2 + 48952928*j wrt j.\nAnswer: 130266004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1937 + 3.4923. Round v to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcshshsssshhjshssss. What is prob of picking 2 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78626?\nAnswer: 2, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.52 rounded to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**3)**(-2\/51))**(2\/19))**(-23\/2) assuming d is positive.\nAnswer: d**(-92\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - p = -1704. Let a = p + 375. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/20 + d**4 - 13*d**3\/6 - 15*d**2\/2 - 1124*d + 2. Determine f(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 7*k**2\/2 - 4*k + 30. Calculate t(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3576573.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -64. Suppose 0 = -32*t + 29*t - 36. Let c(x) = -x**3 - 11*x**2 + 11*x - 1. Calculate the remainder when g is divided by c(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01529 + -0.04289. What is x rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 6. Suppose 3*z = 15 - h. What is the common denominator of 99\/4 and ((-6)\/6)\/(z\/26)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1452223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 1. Let t(w) = 2*w**2 + w. Let u be t(-2). Let v(x) = -2 - 3 - x - u*x**2 + 2*x**2 + 2*x**2. Give -3*f(i) - v(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21675 and 45828175.\nAnswer: 7225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:02 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5 + ((-164)\/20 - -11). Let z be (4 - 4)\/(-1 + 2). Let d be 0\/(0 - (-1 - z)). Solve s*p + 0*p = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4519\/15 - -34405\/114. What is the common denominator of c and -39\/304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 11771?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0*t**2 + 0*t**3 + 0*t**5 - 1\/112*t**7 + 0*t**6 - t + 0*t**4 + 6. Factor f(u).\nAnswer: -3*u**5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1411084454 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 381*b - 10283. Calculate a(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(27) - ((sqrt(432) - sqrt(432)*1) + sqrt(27)) - sqrt(27))\/(-2*sqrt(36)) - (sqrt(432) + 1 - sqrt(12))**2*-2).\nAnswer: 161*sqrt(3)\/4 + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76.4*0.088.\nAnswer: -6.7232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/(2\/540). Let l = 120 - 109. Find the first derivative of 56*m**4 - l + 57*m**4 - w*m**4 wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2747*y**5 + 1117*y wrt y.\nAnswer: 54940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 3, 8.\nAnswer: -6, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 82, 108, 154, 226, 330?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 + 10577*t**2 - 2*t + 2547 wrt t?\nAnswer: -6*t + 21154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 7. Let r(w) be the second derivative of w**5\/20 + 3*w**4\/4 + 3*w**2\/2 - 15*w. Let n be r(u). Solve -n*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 112 = 2*w. Which is the nearest to 45? (a) -0.3 (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -15*y + 14*y. Calculate the smallest common multiple of 6 and (-12)\/y*(28\/(-8) + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 0)*(1 - 2). Is 191*(h - -1)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a - 45*a - 42*a + (1 - a - 1)*(-2 + 1 + 2) to the form n*a + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4 - 1) + 7)\/(-1). Calculate the remainder when 0\/(-2) + 3 + (-74)\/n is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*u - 95. Suppose 5*h - 3*v + u = 0, 3*h + v = 7*h + 24. Let l = 3 - h. Solve d - l = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 175 - 109 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (541\/(-5))\/(22\/(-110)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*b - 15910 = 0, 5071 = 3*r - 2*b - 4459. What is r rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211012 - 11?\nAnswer: 211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1890 and 1251534.\nAnswer: 394233210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 3*g**4 - 6515*g + 3260*g + 3260*g - g**3 + g**4 to h*g**4 + l*g + a*g**2 + c*g**3 + i and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 5, z: 2}. What is prob of picking 3 n and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j - 7*j + j + (-4*j - 4*j + 3*j)*(-3 + 2 - 1) as d + c*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-60) - (-25)\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3411 - -4?\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + 1*(sqrt(20) - (-4*(sqrt(20) - (sqrt(20) + sqrt(20) + 0 + sqrt(20)) - sqrt(20)) + sqrt(20))))*5*4)**2.\nAnswer: -6914400 + 115200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*u - 2*d + d, -d + 2 = 0. Let f = 32 - u. Which is smaller: f or -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d532c + -4?\nAnswer: 9d5328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77305.48cm in nanometers?\nAnswer: 773054800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*n - 20 = 0, -2*n + 5 = 5*y - 15. Let i(x) = -x**3 + 5*x**2 - 10*x - 1. Let l be i(y). What is the closest to 0 in l, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197 or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252*q + 4510*q = 2261*q + 48 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -32. Let l be 20\/(-30) - p\/(-3). Differentiate 9*t**2 - l*t**2 - 6 + 2*t**2 + 4*t**2 with respect to t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3, 0.04, 2\/5, -2.0577 in increasing order.\nAnswer: -3, -2.0577, -2\/11, 0.04, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1751 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n = 45*n + 153252. Is 198 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**2 + 7*a + 7. Let u(k) = -6*k**2 - 4*k - 4. Let h(g) = 4*m(g) + 7*u(g). Let n(i) = 3*i**2 - i + i. What is h(n(r))?\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 13 + 2*k**2 + 13 to the form w*k**2 + t + u*k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 - 517*v**2 + 987*v + 7 wrt v?\nAnswer: 20*v**3 - 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267853417*f**3 + 266104566*f**2.\nAnswer: 1607120502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-18)*26\/4. Let q = -10 + y. Let j = -0.45 + 0.05. Put j, -1\/3, q in ascending order.\nAnswer: j, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 55. Suppose -3 = -2*l + 1. Let w be (27 - 2)*(-1 + l). Calculate the greatest common divisor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}