diff --git "a/data/dm_maths/full_data_1/10115_11255.jsonl" "b/data/dm_maths/full_data_1/10115_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10115_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 8*c = 6*c + 5*q + 56, -2*c + 84 = 2*q. Calculate the remainder when 66 is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -21*u - 70. What is the common denominator of -9\/17 and 805\/(-28) - -1 - u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-9))\/(-75)*-3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, 6, 10 in increasing order.\nAnswer: 6, 10, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-192))\/((-3)\/(-99)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 7*c - 2. Let a(h) = -h**2 + h. Let p(k) = -a(k) - d(k). Let b be ((-20)\/15)\/(-4)*63. Let z = b + -16. What is p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27107*2.01.\nAnswer: 54485.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2757, 1\/2, -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -43*g + 1151. What is v(27)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 64.979.\nAnswer: -25.9916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -2.6. Which is the nearest to 2? (a) 4 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -12. Sort -2, -5, x in increasing order.\nAnswer: -5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*f = -28, -f = -0*i + i + 149 + 144 - 287 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -335 and -84380\/251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 91*r - 607. Let y be o(7). Solve 25 = -3*w + 5*s, -w - y*s + 20 = -26*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**4 - 190*j**3 - 1553 wrt j.\nAnswer: -20*j**3 - 570*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 70*q - 910. Let p be c(13). Let l(s) be the second derivative of -13*s + 0*s**3 + 0 + 1\/70*s**5 + 1\/105*s**6 + p*s**2 + 0*s**4. Factor l(w).\nAnswer: 2*w**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157429 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(1*sqrt(9)\/sqrt(3) - sqrt(3)))**2*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 5*r**2 - 9*r + 7. Let l be q(7). Let s be 7 - 5 - 88\/l. Which is the closest to 0.1? (a) -2\/7 (b) -3\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**3\/3 + 15*k**2 - 21*k + 21. Let f be g(-16). Suppose -7*l = 2*l - 99. What is the highest common divisor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*u = 129, -7*u + 3*u = -k + 24. Suppose -d = -3*y - 4*d + 39, 3*d = 2*y - k. Let s = -153 + 155. Solve -y = -s*w + 5*i, 6 = 2*i + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*g - 15, g + g = -5*a + 15. Put 5, -4, g in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:30 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7857 - -13510. What are the prime factors of d?\nAnswer: 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-18) - 1*2\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 17 = l, -4*l + 22 + 21 = -3*i. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*j**2 + 0*j**3 - 4*j**5 + 4*j**5 + 13*j**3 - j**5 wrt j.\nAnswer: -60*j**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - u - 2. What is the tens digit of f(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**18\/t*t)\/t**(2\/11))\/((t*t*t*t\/(t\/((t\/(t*t**(2\/7)\/t))\/t*t)))\/t**(-5)) assuming t is positive.\nAnswer: t**(701\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and (2 + -3)\/(9\/(-126))?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/288)\/((-360)\/96).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -132 + 136 - (1 + -2)*-1. Sort q, -0.3, -4, -6\/5 in decreasing order.\nAnswer: q, -0.3, -6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + -1. Let x = f - -26. Suppose 0 = 5*z + 10, 3*w + 4*z + 17 = 3*z. What is the third smallest value in 1\/3, x, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from uuuuhuuh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.35, -3, 211?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30403672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/30 + 5*a**4\/24 - 5*a**3\/6 + 136*a**2. Let f(g) = -g + 11. Let n be f(7). Give d(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 273320.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4579 + -34579\nAnswer: -30000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 21. Let f(x) = x**2 + 7*x + 3. Let n be f(i). Let o be 394\/11 - (-6)\/n. Calculate the highest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n + 13126 = 113 - 19323. Calculate the lowest common multiple of n and 80.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (651 + 72 + 45)*(3*h - 3*h + h**3).\nAnswer: 768*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -23402?\nAnswer: -23405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 321*v**2\/2 + 11764647*v - 219900 = 0.\nAnswer: -73300, 2\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -15. Let y(f) = -f - 8. Let i be y(z). Find the common denominator of 328\/(-44) - (i + 2) and 83\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 180*c.\nAnswer: 5*c*(c - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1130)\/1582 + (-1)\/(7\/(-9406))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2. Let b(q) = 35*q**2. Determine b(y(d)).\nAnswer: 560*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = -169. Let i = -21 - a. Let l(t) = -7 + i + 22*t - 6. Calculate l(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12591150 = 47*k - 29090471. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124148 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11110 and 1842240?\nAnswer: 20264640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.6 less than 147.3?\nAnswer: -512.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 36. Suppose p = -2*t - t + 5*v + 42, 2*t = 4*v + 28. What is the second derivative of -24*b + 27*b - 22*b + t*b**3 wrt b?\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46903a7 (base 11) to base 7.\nAnswer: -126366250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304742256 and 728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - -19548?\nAnswer: 19514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-4))\/(16 + (-8655)\/540). Solve 0 = -k - 2*x + 3 - w, 10 = -2*k - 3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -b3?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -3*v, 3*v = 7*v - 4*t. Let m(u) = u**3 + 6*u**2 + 3*u + 2. Let s be m(v). Let d = s + 35. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 915, 1550, 2185, 2820?\nAnswer: 3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 10 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxjx when four letters picked without replacement from {j: 3, x: 3, p: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -33\/2, -132\/35, 0 in decreasing order.\nAnswer: 2, 0, -2, -132\/35, -33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108 in -5, 37, -0.4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q*q**(-3))\/q)\/q*q)**(1\/21))**20\/((q\/(q*q**3))\/(q\/((q**(-6)\/q)\/q*q)))**26 assuming q is positive.\nAnswer: q**(5966\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.101 + -0.299. Is p at most as big as 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 2. Let c be d(-2). Let n be c\/14*(-35)\/(-10). Let y(o) = 8*o - 38. Let j be y(6). What is the greatest common divisor of j and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188 * -28561.46\nAnswer: -5369554.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*w**2 - 133*o*w - 541372*o + w**2 - 14*w wrt w?\nAnswer: 4*o*w - 133*o + 2*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101 - 23013?\nAnswer: -21312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((3 - -2) + -3 - (0 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.02706 micrograms in grams?\nAnswer: 0.00009702706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/75*-5)\/((-4)\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/30480 and 157\/50790?\nAnswer: 51602640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*f + 17 = 0, 8 = 4*u + 7*f - 8*f. Solve -20 + 3 = 5*k + 3*d, k + u*d + 1 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + k + 6 + k - 4.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11951 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m - 21. Let j(s) = 8*s + 9. Let d(p) = 5*j(p) + 3*n(p). Let b(i) = i - 4. Let x be b(-4). What is the remainder when d(x) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4 + 0*r**3 + 2*r + r**3 - 1 - 4*r**2. Let k be o(3). Suppose k = 2*h + h. Solve -6*t + 5*x = -t, -2*t - 2*x - 12 = h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.099441 centuries?\nAnswer: 3719.3292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -14. Let l = -3 - -6. What is the second derivative of l*x**4 - 2*x**4 + x + 2*x**u wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161117765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let r = 952 + -947. Let h(o) be the third derivative of 8*o**2 + 0*o**3 - 1\/30*o**r + 0*o + 0*o**4 + 0. Determine f(k) + h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/10 - y**4\/24 - y**3\/2 - 35*y**2. Let p(z) = 5*z**2 + z + 2. Calculate 3*p(w) + 2*v(w).\nAnswer: 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -94. Let c = -955 - -965. What is the greatest common divisor of p and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwywwww. What is prob of picking 4 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122167\/21630 + 8\/1545. Suppose -191 + 16 = -5*s - 5*k, 3*k + 45 = 2*s. Calculate the common denominator of j and 710\/(-12)*-1*(-2)\/s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*-7*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.3, 16, -155, 2\/17 in ascending order.\nAnswer: -155, -0.3, 2\/17, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 49 = -4*j + w + 3*w, 16*j + w + 259 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1828859, 1828860, 1828861, 1828862, 1828863, 1828864?\n\"Answer: h + 1828858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 1. Let j(t) = -2*t - 8. Let z be j(-6). Let m(y) = -2*y - 3. Let r(v) = z*m(v) + 9*i(v). Let a = 12 + -12. Give r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/48 - (-26)\/8. Solve -4*v + 8 = -j*l, 0 = 5*v - 2*v + 3*l + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -85*s**2 - s. Let d(p) = 7*p - 19*p + 3*p + 4*p + 6*p. Determine q(d(h)).\nAnswer: -85*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 239205 and 10775?\nAnswer: 1196025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 9 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -24. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1890*h**5*n*t**2 + 6*h**3*n**3 + 2*h**2*n**3*t**2 + 3*h**2*n**3 - 379*h**2*t + 2*n*t**2 wrt h.\nAnswer: 113400*h**2*n*t**2 + 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3754468*a**2*v + a**2 + 1121131*a + v + 1 wrt v?\nAnswer: 3754468*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxjibbvxxjj. Give prob of sequence bvbj.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.72 + 0.18. Let o = n - -0.1. Let x be (-93)\/(-1302)*(1 - 5). Sort x, 0.4, o in increasing order.\nAnswer: x, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135.1 and 4.\nAnswer: -131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30413404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 12*d + 60. What is the common denominator of 59\/4 and (-542)\/d + 8\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540567 is divided by 2170.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 8*g**2 - 88*g + 613. Determine p(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giyyggyyyk. What is prob of picking 3 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.2909188 to three decimal places.\nAnswer: 105.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233523747, 1233523745, 1233523743, 1233523741?\nAnswer: 1233523739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*k**4 + 3*k + 313*k**4 + 2*k**3 + k**2 + 3 - 90*k**4 in the form d + p*k**2 + s*k + j*k**4 + q*k**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**2 + 35*i + 76. Calculate b(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.17, 2, 5\/4, 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000317230612 rounded to 7 dps?\nAnswer: -0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06949 + -6.93051. Put 1, 3, t, 2, -1 in descending order.\nAnswer: 3, 2, 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 5, a: 5, w: 8}. What is prob of sequence adz?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 + -230. Which is the third smallest value? (a) -0.02 (b) -6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28241 = -29*p + 31692. What is the lowest common multiple of p and 204?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*(6\/(-105))\/(20\/21).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from awawawiiaaaaawii?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 149803859, 149803858, 149803857, 149803856, 149803855?\n\"Answer: -z + 149803860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*v - 3*v - 13*v + (0 - 2 + 1)*(6*v + 0*v - 3*v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1715)*-3*1)\/(-5*sqrt(35)\/sqrt(7) + sqrt(960)\/sqrt(12)).\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27141 + -25776. What is the highest common divisor of 130 and g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooilouugogoug. What is prob of sequence lgiu?\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229.821 - 0.179. Let v = -230.2 - o. What is the nearest to 2\/5 in v, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*n + 400*n**4 - 202*n**4 - 196*n**4 - 47 - 48*n wrt n.\nAnswer: 8*n**3 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*1*3)\/(sqrt(88)\/(-3*sqrt(8))))\/(2*(sqrt(28)\/sqrt(4)*6 + 3*sqrt(28))).\nAnswer: -3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/362616355 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47\/3 + 16. Let a(f) be the second derivative of f + 0*f**2 + q*f**3 + 0. Let i(n) = -2*n**2. What is a(i(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 720021378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*s**5*x**2 - 2*s**5*x - s**2*x**2 - 305*s**2*x wrt s?\nAnswer: -18660*s**2*x**2 - 120*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/5)\/((-456)\/53960*71)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-49) + 0 + 760\/(-7). Let m = a - -112. Solve 2*u - m = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13168 divided by 2\nAnswer: -6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6 - 10\/(-16)*2028\/(-195).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.34 - -1.575. Let f = k - 0.275. Which is the nearest to 0? (a) -2\/5 (b) f (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*t = -48079992, -60100020 = -3*s + 8*s - 5*t. What is s rounded to the nearest one hundred thousand?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80486 and 59822?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y + 52 = b, -2*y + 38 = -b. Calculate the remainder when 35 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**3 - 39*m**2 - 9*m - 8. Let n(w) = -w**3 - 10*w**2 - 2*w - 2. Give -2*d(z) + 9*n(z).\nAnswer: z**3 - 12*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 + 4. Let y = 155 + -144. Let c(q) = 24*q**2 - 4*q**2 - 2 - 6 - 3. Let t = 3 + 1. Give t*c(h) + y*f(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.65 - -0.67. Let o(l) = l**3 - 6*l**2 + 2*l - 9. Let q be o(6). Which is the second biggest value? (a) w (b) q (c) 2\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351106 - 351106 + 33453*h**2.\nAnswer: 33453*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46997908, 46997898, 46997872, 46997824, 46997748?\nAnswer: 46997638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 5\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1 - 3*u + 3*u**2 + 3*u**3 + 0*u + 5*u - 2*u**3. Let m be t(-3). Suppose -2*p = -6*p, 0 = z - 4*p + 8. Do z and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506 divided by 48069\nAnswer: 506\/48069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {h: 1, e: 11, w: 1, v: 2, p: 4}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-nine halves of a second?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:28 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664967406 to the power of 1\/3, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/845 - 851\/2535. What is the third biggest value in 0.3, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.62 from -1074485266.\nAnswer: -1074485265.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 21088958 to the power of 1\/2, to the nearest integer?\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 - 248*x**3 - 22578*x**2 - 887216*x - 12526885 = 0.\nAnswer: -71, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*n + 4 = -2, -14 = -3*f + 2*n. Suppose -6*z = -5*z + i - f, 12 = z - i. Suppose 1 = v - p - 1, -5*v - 2*p + z = 0. Is 3\/5 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 18 = 6*i. Let y(q) = 6*q**2 + 4*q + 2. What is the remainder when y(-3) is divided by 0 - (i - 15) - (-1 - -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28322 by 2023.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 104, 209, 350?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -988.31295 rounded to 1 decimal place?\nAnswer: -988.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o - 6. Give c(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*b - 144 = 0. What is the greatest common factor of b and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1389*y - 1. Let m be r(-5). Let b = m - -152905\/22. Calculate the common denominator of 17\/12 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.06 - -0.06. Let i = 0 - f. Let q be 165\/(-225) + 1\/3. Is q less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1664\/7168 - (-2)\/14\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose -2*v = b - 4*v - 7, y = -4*b + 2*v + 16. Suppose 7*l - 43 = 6. Calculate the remainder when l is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -473 + 488. Let u(r) = 10*r + 1. Let z(x) = -x. Let i(k) = u(k) + 6*z(k). Give i(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 15716041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1403113636 divided by -4.\nAnswer: 350778409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 261?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211 - 206. What is the lowest common multiple of 141 and x?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(4 + -3) + -1. Let m(i) = i + 7. Suppose 0 = -3*z + 3, -8 = 2*h - 0*h + 2*z. Let a be m(h). Solve -x - a*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456 by -152.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1397 and 0.5.\nAnswer: -698.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -29469 and -29469 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 569914 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 7 - 27 + 2896*h + 3199*h in the form x + t*h and give t.\nAnswer: 6095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 12*n**2 - 32*n + 1. Let f be y(8). What is the fourth smallest value in 3, -1, f, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*f + 33372 = 0, 4*f - 55556 = 8*t - 13*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 72326843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4 - 8528*z**3 - 266290*z**2 = 0.\nAnswer: -31, 0, 4295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.48 + -1.38. What is the closest to y in 8\/5, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 108 = 3*g, -20 = 20*g - 25*g for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l - l + 7*l to the form y + d*l and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30050 - 30067. Let b(w) = -w**2 - 19*w - 36. Give b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 744282.\nAnswer: 744282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 0, -3, -5, 5 in ascending order.\nAnswer: -5, -3, 0, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 1 - 3*q + 6*q)*(-2 + 2 + 2 + (0 + 0 + 2)*(-4 + 3 - 2)).\nAnswer: -8*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/36*3*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -7. Let o = m + 30. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {j: 4, q: 10, b: 1, e: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Let v be 35*u\/10*4. Let y(z) = -10*z + 10. Let n(k) = 3*k - 3. Give v*n(h) + 4*y(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let p = -24\/19 - -67\/38. Which is the nearest to x? (a) -2\/7 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.7 - 12.7. Which is the biggest value? (a) -0.4 (b) q (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let v(z) = 4112*z**2 + 2. What is s(v(a))?\nAnswer: 8224*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*i + 8 = 0, -34*w + 3*i = -32*w - 7. Factor -28\/11*f + 10\/11 - 2\/11*f**4 + 24\/11*f**w - 4\/11*f**3.\nAnswer: -2*(f - 1)**3*(f + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/88 and 23\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:15 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -33135 (base 9) to base 4\nAnswer: -11113133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7 + -7 + 8 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 23089079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024868915 rounded to 7 decimal places?\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/3 <= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:06 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -r - 4*i, 12 = -r - 4*i. Suppose -108 = -r*z - z. Suppose -40*h = -42*h - z. Put -4, 3, h in decreasing order.\nAnswer: 3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 11*u + 24. Let g be q(-19). Let f = g + -810. What are the prime factors of f?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = b + 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -240 + -4?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - 3*w - 2. Let d(z) = -3*z**2 + 2*z + 1. Let b(k) = 5*d(k) + 4*t(k). Let b(c) = 0. Calculate c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-15)\/18)\/(1400\/(-420))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3460093744 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(16\/124) - 0. Let q = g - -43. Suppose 2 = 5*l - 13. What is the greatest common factor of q and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 4*i)*(-87*i + 198*i - 84*i).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 0 + -1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z - 3*z + 5*z + 0*z + (0 + 0 - 2*z)*(-3 + 1 + 1) + 2*z - 3*z + 0*z)*(3*z + 3*z - 5*z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/7))**(2\/97))**(-8\/3)\/((t*((t**(-1\/7)\/t)\/t)\/t)\/(t**11\/t))**(-4\/35) assuming t is positive.\nAnswer: t**(-19900\/14259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2, -385984 in ascending order.\nAnswer: -385984, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 take away 369629323860?\nAnswer: -369629323857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*5\/10 - -46500001. Round y to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5540 + 0?\nAnswer: -5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3286 - 32422?\nAnswer: -28125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9800*n**2 - 750. Let k(r) = 265*r**2 + 20. Let q(w) = -2*c(w) - 75*k(w). Let u(j) = -38*j. Give q(u(i)).\nAnswer: -397100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -35. Let p be 384\/(-9) - 0 - 1\/3. Let d = p - -39. Sort d, 2, -5, g in descending order.\nAnswer: g, 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/p*p*(p\/p**(-2)*p)\/p*p*p)**(-2\/101)\/((p\/p**10)\/p*p*p*p*p**(-2\/15))**(3\/46) assuming p is positive.\nAnswer: p**(4367\/23230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 51. Suppose g - 2*g = -x*g. Suppose -2*q + 375 = 5*a - q, g = -4*a - 3*q + 289. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 839609*h - 839610 = 0. Calculate h.\nAnswer: -839610, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20*w = 84. What is the highest common factor of w and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147897215 divided by 29579443\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, 1, -192, -8.\nAnswer: -192, -8, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 36 - 162 = -3*n, -3*w + 152 = 4*n. Calculate the remainder when 337 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/7)\/d**(-2\/13)*(d*d**(2\/3))\/(d**(1\/6)\/d) assuming d is positive.\nAnswer: d**(405\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2352*c + 235. Is p(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + 40*h**2 + h - 22*h**2 - 21*h**2)*(-h**3 + h**3 - h**3).\nAnswer: 9*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2485964 + 91*g + 2485960 - 36*g + 12*g**3 + (4*g - 4*g + 2*g**3)*(1 - 3 + 0) - 6*g**3 + 4*g**3 + g**3 - 4*g**2 + 2*g**3 + 4*g**2 + g**3 + 0*g + 0*g.\nAnswer: 10*g**3 + 55*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. Let v = -31 - -13. Let o = v - -17. What is the second smallest value in o, z, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 + n. Let g(d) = 4*d**3 + d**2 + 3*d. Let w(i) = -g(i) + 3*u(i). Solve w(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/((w**(-2\/3)*w*w)\/w)*w*w)\/w)*w))**(9\/2)\/(w**(-1\/2)*w*((((w*w*w**(-5\/4)*w)\/w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Suppose -5*x = -0*k - 5*k + 40, 0 = 3*x - 4*k + 29. Let z(f) = -5*f - 2. Calculate x*i(c) + z(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 744 = 912 - 1040 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8948, 17900, 26852, 35804, 44756?\nAnswer: 53708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26627 - -8.0983511?\nAnswer: 26635.0983511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - -110. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96) + sqrt(72)\/(sqrt(12)\/sqrt(4)))\/(6*(2*sqrt(300) + sqrt(300) - sqrt(12))).\nAnswer: sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/150 + u**4\/12 - 4*u**3\/15 + 2*u**2 + 8*u. Find m, given that h(m) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 2508?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499857 is divided by 317?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**3 - 10*z**2 + 193*z + 1 wrt z.\nAnswer: 6*z - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 1, z: 4, d: 1, w: 1, g: 6}. What is prob of picking 2 z, 1 h, and 1 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*l = 6, 4*h + 7 = -5*l + 28. Suppose 2*g - h = 0, 0 = 4*k + 3*g - g - 20. Let f(w) = -k*w - 2*w + w. Let x(o) = 2*o. What is f(x(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1\/4)*r)\/r**(1\/2))**36*(r**(1\/4)\/r)\/(r\/r**(-4\/7))*r**1*r*r**(1\/3)\/r assuming r is positive.\nAnswer: r**(6721\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 11, -663, -0.3 in descending order.\nAnswer: 11, 0.2, -0.3, -663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + p + (-1 + 0 - 1)*(0*p + p - 2*p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*j - 32484, 134*t - 139*t + 32520 = 5*j. List the prime factors of t.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by (732\/(-24) + 13)*12\/(-10) - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 798\/13 (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34160100 by -875900.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 536809363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/519 and (-13)\/(-15) + 0\/(-16).\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199725 by 2663.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658338 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 198, 379, 486, 423, 94, -597, -1746?\n\"Answer: -16*k**3 + 107*k**2 - 50*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5952218*b**3 - 1678192*b**2 + 6*b wrt b.\nAnswer: -35713308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -24*m**2 - 408*m - 4. Let a be r(-17). Let j(y) = 3*y + 3. Let f(n) = -1. Let k(o) = -4*f(o) - j(o). Let c(p) = -3*p + 2. Give a*k(t) + 3*c(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-1 - 2 - -4). Let k(v) = -8*v - 13. Let m be k(-4). Suppose 4*p - m = 49. Solve -3*n + p = -5*h, -2*n + 3*h + r*h = -13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3543 + -1014. List the prime factors of q.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3897307*r**5 + 441918*r**2 + r wrt r.\nAnswer: 233838420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -5*w - 0*w + s, 0 = 2*w + 2*s - 208. What is the lowest common multiple of 180 and w?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23158, -92570, -208240, -370162, -578330?\nAnswer: -832738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1856 and 232768?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 40 = -o. Suppose -120 = -2*n - 2*n. Calculate the remainder when n is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100111 (base 2) to base 11.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2. Suppose -4*z - 1 + 9 = 0. Let s(o) = -o + 6. Determine z*s(q) - 7*n(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68222935 a multiple of 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {w: 1, s: 2, r: 4, e: 5, g: 2, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*b + 19*b**3 + 5*b**3 - 21*b**3 + (b**2 + 2*b**2 - 2*b**2)*(3*b - 2*b - 7*b).\nAnswer: -3*b**3 + 163*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(228)*-1*3)\/(sqrt(768)*-2 - sqrt(768) - sqrt(768)))**2 + 2*(-1 + sqrt(2299) + sqrt(2299) + -5 - sqrt(2299))**2*-6.\nAnswer: -14346069\/512 + 1584*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.260793kg in grams?\nAnswer: 2260.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 272, 519, 740, 935, 1104?\n\"Answer: -13*a**2 + 286*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.4 + -34. Let d = -2 - -3. Let x = d + -1. Which is the closest to 0? (a) 5 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 32*n + 193. Let u be j(-6). Let o be -13 + 10 - (-7 + u). Solve -4*g = 1 + o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15386 - -2689. Suppose -5*z + p = 5*n - 7*z, 4*n - 14472 = 4*z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let f(n) = 10802*n**2 - 2*n + 1. Determine s(f(u)).\nAnswer: 21604*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9218499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3915091*z + 7101247 wrt z.\nAnswer: 3915091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112\/319 - -20653\/16588. What is the common denominator of i and 25\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62698\/67 < -935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)*u**(1\/13)*u*(u*u\/u**(-7))**(1\/15))**(8\/5) assuming u is positive.\nAnswer: u**(3656\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - x)*(x**4 + x**4 - 5*x**4) + (3*x**2 - x**2 - x**2)*(-339*x**2 + 339*x**2 - 292*x**3).\nAnswer: -298*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 140, 143, 146, 149?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103 and 927.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)\/(x\/(x\/(x\/x**(-24)))))\/(x**(13\/2)\/(x**26\/x)) assuming x is positive.\nAnswer: x**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 558*a**3 + 800*a**3 - 85*a**3 + (4 + 2*a**2 - 4)*(-4*a + 5*a - 2*a) - 1 - a**3 + 1.\nAnswer: 1270*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-2)*(-4)\/(-8)*17. Let j = -55 - d. Calculate the highest common divisor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 4982.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(-3*sqrt(539) - sqrt(539)) - sqrt(539) - -1*(2 + sqrt(539))))**2.\nAnswer: -1008*sqrt(11) + 310473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2809 - 0.109. Let n = f + 0.354. What is n rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 264441185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81457, 81317, 81077, 80731, 80273, 79697, 78997?\n\"Answer: -w**3 - 44*w**2 - w + 81503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -113, -237, -357, -473?\n\"Answer: 2*v**2 - 130*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/15)\/((-2)\/(-10)) + -4. Let j(f) = -96*f + 3. Is j(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -21. Let r = -6.31 - -6.37. Which is the biggest value? (a) 0.3 (b) -0.2 (c) r (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -21*t + 1888. Calculate the remainder when t is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -22)*3\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -28.1. Let w = -6 + 4. Let f = w + j. Which is the closest to f? (a) -1 (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o - 52. Let j = -210 + 195. List the prime factors of w(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1009 + 1501. What is the least common multiple of t and 10?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 928, 3484, 7670, 13486?\n\"Answer: 815*h**2 + 111*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 224.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d - 3. Let c(u) = 16*u - 4. Let i be (-2)\/(420\/(-105)*((-10)\/12 + 1)). Give i*c(b) - 4*l(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 12*d + 10*d + 0*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1258500 and 151020?\nAnswer: 3775500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 17. Let g be c(5). Suppose 39 = g*a - 102. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-4)\/(-52)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -139, -174, -217, -268, -327, -394, -469?\n\"Answer: -4*y**2 - 23*y - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17024 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.229705208 to 3 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -341 (c) -0.5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:07 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -126*l + 713. Let b(f) = -119*f + 706. Let u(t) = 6*b(t) - 5*y(t). What is u(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1666402+-1.235\nAnswer: -1.0683598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.34 - 39. Let m = 363.73007 - 363.39. Let q = z - m. Round q to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 1. Let y be d(-1). Suppose 7 + 81 = y*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*p + 327 - 1565, 3*b = 2*p - 512. What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 378, 380, 382?\n\"Answer: 2*o + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/12 - 11\/84. Factor q - 2\/7*m**2 + 2\/7*m - 2\/7*m**3.\nAnswer: -2*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04457786 - 0.38.\nAnswer: -0.42457786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.248 + 0.752. Put g, 431, -1 in descending order.\nAnswer: 431, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56540507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 0?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 125 - 40. Suppose 25 = -m*b + 12*b. Let g be -2 + 1\/(-2)*0. Put b, -1, g in descending order.\nAnswer: -1, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 6. Suppose -n = h - 4. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8272\/9, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/66*1 + 0 - (1203\/143 + -8).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 1610 - 2276 for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*y + 6046 + 9579 = 5975 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1298788, -2597577, -3896368, -5195161, -6493956, -7792753, -9091552?\n\"Answer: -n**2 - 1298786*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**3 - 11 - 2*w**3 + 5 wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119070 = -206*u + 233*u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3466 and 39687433.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:28 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-2) + -2 + 2. Let x = -6 + w. Let y be -3*(x - (17 + -2)). What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*s**2*w**2 + 54*o*s*w - 2*o*w**3 - 2*s**2*w**3 - s**2*w**2 - w**3 wrt w?\nAnswer: -12*o - 12*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 - 7*s - 2. Let v be t(-6). Let l be (-5)\/20 + (-15)\/v. Let k be (-21)\/45*l\/14. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from qmmrmpmpq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6909?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzszzzzzsyzyzzzyzyzs.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24892 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*v = -1316 + 312, -32 = -4*v. What is the remainder when r is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1381616 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-890 - -837) + (3 - -11)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -121210110?\nAnswer: -121210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 45372744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 57 + (1769 - 1774)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 29 + z + 132 - 27 - 33.\nAnswer: z + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161*o**4 - 10*o**3 + 3*o**2 - 8*o - 3?\nAnswer: 3864*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68380516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13351601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.38062825 from 0.0636.\nAnswer: 0.44422825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000057985 rounded to 7 dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 4\/69, 2\/5, -2, -4, 94\/3 in descending order.\nAnswer: 94\/3, 29, 2\/5, 4\/69, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(-4)\/2*-2. Let h be (18\/(-12))\/((-2)\/d). Let j = h + -7. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 386*l - 777. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1006, 3, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.32 (b) 0.3 (c) -0.2 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = -3*g, -11 - 2 = -4*g - 3*y. Let h be ((-42)\/(-30) + g\/(-10))*5. Solve 3 = h*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -46. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from sdooouosdsososuouso.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241943*n - 241938*n - 153 = -21*m, 5*m = -n + 37 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.87671425 to 3 dps.\nAnswer: -1.877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from hhhhhddhhdhhghhhgh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -53?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 20*s**2 - 5*s. Let t(b) = -b**3 - 10*b**2 - 2*b. Give 2*m(i) - 5*t(i).\nAnswer: -i**3 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - j**2 - 7*j**2)*((-j + 3*j + 0*j)*(0 + 2 + 0) - 1 + 1 - 2*j + 3*j - j + 2*j).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3522\/(-10) + 1\/5. What is the lowest common multiple of 18 and f\/28*42\/(-12)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 118, 105, 76, 25, -54?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 11 - m**3 - 17*m**4 + 3 + 4*m - 18 in the form s*m + y + x*m**4 + v*m**2 + g*m**3 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 + 1485 = 4*g - 3*d, -2*d = g - 526. Calculate the highest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 4*d**2 - 6*d + 8. Let c be 2*-5*2\/4. Let q(p) = -p**3 - 3*p**2 + 4*p - 5. Let g(x) = c*z(x) - 8*q(x). Factor g(y).\nAnswer: -2*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(784)*1 - sqrt(49) - (sqrt(2401) + 2*sqrt(2401)))\/(1*sqrt(63) - (sqrt(7) - 1*sqrt(7))*6))**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*b + 4. Suppose 0 = -w + 5. Suppose 2*r + 20 = w*x, -3*r + 27 = x + x. What is the lowest common multiple of b and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -4 + 2\/2. Suppose -5*k = 5*o - 760, 1 = -w*o + o. Suppose -42 = -5*u + k. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626715?\nAnswer: 3, 5, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*l - 8, -2*l + 0*k - 4 = 2*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 4. Let k be w(-8). Does 13 divide 1 + -2 - (k - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1701236, 1701265, 1701312, 1701377?\nAnswer: 1701460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5946?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcw when three letters picked without replacement from {j: 1, w: 1, i: 2, c: 2, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 902189 + -902187. Factor -24 - 162\/7*a + 6\/7*a**h.\nAnswer: 6*(a - 28)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 25*q + 2400. Calculate z(-95).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 228436.686 nanoseconds?\nAnswer: 0.000000002643943125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-14)\/(-21)*49\/(-14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 2*b**2 - 1. Let r be j(-1). Is -2\/9 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/9, 2\/29, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -14 + 0*v**2 - 44\/3*v**3 - 27*v. Find the first derivative of l(u) wrt u.\nAnswer: -88*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.019 + -0.041. Let o = -0.3 - -0.7. Is d equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84580 by -8458.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 400225, 400229, 400233?\n\"Answer: 4*y + 400221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/3, -1.2, 12, -20, -17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 11. Let d(c) = -c**2 - 5*c - 3. Let x be d(-5). Calculate the remainder when l is divided by 395\/20 + x\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-21 - -5) - (-2 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104923, 419692, 944307, 1678768, 2623075, 3777228, 5141227?\nAnswer: 6715072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5120 (base 11) to base 16.\nAnswer: -1a8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*u - 4, 2 = 3*u - 3*y - 1. Let k = u + 5. Solve -4 + 0 = -k*v + 2*p, -3*p + 19 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srj when three letters picked without replacement from {z: 6, s: 1, j: 7, r: 1}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 16) to base 12.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.4*-0.5\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2430 + -2429.9. What is the closest to u in 1\/6, 1\/2, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 4 - 8 + 3635*w + 11915*w + (-1 + 1 + w)*(-4 - 2 + 5) + w - w - 2*w.\nAnswer: 15547*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611042514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 3*i + 34 = 0, 7*v - 19*v - 44 = 69*i - 71*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853123.86ns to hours.\nAnswer: 0.00000023697885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/16*6. Let t = -99.9 - -100. Which is the closest to 4? (a) t (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -8. Let p = -20.6 + 21. What is the nearest to -1 in p, -4, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -236136, 80 in ascending order.\nAnswer: -236136, -3, 1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 540923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t + 2. Let n be (-2)\/(3 - (-1 + 3)). Let j be n\/4*t\/2. Which is the smallest value? (a) -0.4 (b) 9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 1.2. Let u = w - 1.2. Let j(o) = -o**2 - 3*o - 1. Let y be j(0). Which is the closest to y? (a) 1\/5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10494 - -10654. What is the greatest common factor of 540 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.1206633 to zero dps.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9*r = 5440. Let w = r - -1213. List the prime factors of w.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0419 - 8.0419. Is -18\/7 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2195110, -2194924, -2194738, -2194552?\n\"Answer: 186*s - 2195296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 647 - 445. Suppose 0 = 5*s + 4*x - t, 0 = -4*s - 0*x + 4*x + 140. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 320 or 24403\/76?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(1 + 8 + -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-67)\/(1541\/(-138)))\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12385*g + 10027 = 12114*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 22*n**3 + 3402*n**2 - 6819*n + 3404. Let r(x) = 148*x**3 + 23812*x**2 - 47728*x + 23828. Let m(g) = 3*r(g) - 20*z(g). Factor m(d).\nAnswer: 4*(d - 1)**2*(d + 851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - 3*sqrt(228)*3)\/((sqrt(24)*3)\/sqrt(2)) + -1.\nAnswer: -8*sqrt(19)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1)**2*-5*-3 + 4 + ((sqrt(6)\/sqrt(3) + 2)*-5)**2.\nAnswer: -230*sqrt(2) + 3799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 366*x - 6. Let y(n) = 1460*n - 23. Let z(h) = -11*u(h) + 3*y(h). Let q(o) = o**2. Give z(q(c)).\nAnswer: 354*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:13 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 16. Suppose 4*l + 5*g = n, -5*l + 20 - 1 = -4*g. Let a = 1 + 1. Solve -l*m + a = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1500 and 83\/1471350?\nAnswer: 14713500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5776 = -337. Is 37 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2004039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (121134*i - 121113*i - 7 + 20)*((-3 + 5 - 1)*(4 + 0 - 1) + (3 - 1 - 3)*(1 - 1 + 1)) as r + l*i and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123013, 245514, 368015, 490516?\n\"Answer: 122501*o + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.067 in -4, 1.1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**4 + 18*j**3 + 650*j**2 - 4*j - 25887680 wrt j?\nAnswer: 12*j**3 + 54*j**2 + 1300*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1632 - -8817. Suppose -930 - w = -3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, p: 1}. Give prob of sequence ro.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let i(u) = -7*u**2 + 7*u + 7. Let z(j) = 4*j**2 - 3*j - 3. Let w(o) = -3*i(o) - 7*z(o). Calculate w(t(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*h - 3920, 6*n - 5*h + 19660 = n. Let b = 4132 + -10090. Let j = b - n. Round j to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043203 - 133014?\nAnswer: 1410134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10869 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 604*t - 5*t**2 - 6*t**2 + 604*t.\nAnswer: -11*t**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0*w*w)\/(w\/((w\/w**(5\/7))\/w)))**5 assuming w is positive.\nAnswer: w**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17014125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 + 10135*p**3 - 338330*p**2 - 996960*p + 80357760 = 0.\nAnswer: -14, 24, 1993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807794 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -9. Suppose -p + k + 19 = 0, 0*p + 21 = p + k. Calculate the smallest common multiple of o and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1 + 2, 4*n - z - 3923 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 14. Let c(o) = -9*o + 5. Let s(y) = 58*y - 32. Let f(j) = 13*c(j) + 2*s(j). Calculate -5*f(b) - z(b).\nAnswer: 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i + 15. Let h be 8\/(-28) + i\/21. Let w(a) = 2*a. Determine w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1118 + -1124. Let d(t) = 9*t**2 - 5*t - 5. Let k(m) = 10*m + 11 - 12*m**2 + m - 7*m**2. Determine v*k(f) - 13*d(f).\nAnswer: -3*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -214*y - 2888.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.72 - -0.64. Let d = 313.1 + -301. Let k = d - 12. What is the closest to c in -3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 15. Suppose p = -8*b + 27. What is the greatest common factor of 12 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93131 or 93160?\nAnswer: 93160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u. Let v(f) = 42*f. Calculate o(v(y)).\nAnswer: 210*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 114 = -346. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235242907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - -77. Let i = b - 100. Solve 3*a - 5*z + 27 = 7*a, -i = -5*a + z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from {m: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 - 2*c**2 - 3*c**2 - 2*c**2. Let q(d) = 10*d**2. Calculate q(v(o)).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -239? (a) -2 (b) 2\/9 (c) 3\/7 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(27\/(-126) + 8\/28)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 23 (b) -0.3 (c) 242 (d) 43 (e) 3 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215807*l**2 + 0 - 1 + 1 + 215779*l**2.\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25344 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57133169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y - 3348 + 10960 = -3*y + 3012 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) - -2*sqrt(80))*-6) + sqrt(80).\nAnswer: 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 3*i**2 - 8*i + 2. Let s be k(4). Suppose s*o + 110 = 510. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12 - 1) + -3 - 3) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let q be 12\/((-4)\/(-2)) + 2. Let c(t) = -q*t + t + 8*t. Determine c(z(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -12. Let n(h) be the third derivative of -h**6\/30 + h**4\/24 + h**3\/6 - 3*h**2. Let k be n(b). Solve -1 = v - k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 2*b - 51 + 1 = 0, -5*b = 3*h - 15. Let d be 24*4\/8 + -3. Solve 0 = -2*t - p + d, h*t = p + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -402.55?\nAnswer: -80.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) - sqrt(8)\/(sqrt(32) + sqrt(2))) + sqrt(70)\/(sqrt(810)*-2 + sqrt(810)))**2.\nAnswer: 11767\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115158447002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*c**2 + 119*c**2 + 38*c**2)*(-2*c**2 - 3*c**2 + 4*c**2).\nAnswer: -126*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - a - 112600, 2 = 192*a - 193*a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 21\/4*t**2 + 30*t + 1\/4*t**3 = 0 for t.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 0) + (-3 - -3). What is the third derivative of -5*l**6 + 28*l**2 + 5*l**6 - 10*l**6 + 3*l**d wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 7*l - 9 = 0. Let r = -4 + l. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52479 and 128026269.\nAnswer: 7497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445 = -5*l + 65*l + 25*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3900) + 1*sqrt(3900))\/(2*sqrt(12)\/sqrt(4)))**2.\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, 4, -14, -3\/620 in increasing order.\nAnswer: -14, -1, -0.2, -3\/620, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5452 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w + 6. Let u be v(7). Let t be ((-8)\/(-10))\/((-4)\/u). Sort t, 5, -1.\nAnswer: t, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 94 = -22. Let h = 24 - 15. What is the greatest common factor of y and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 10544*d**3 + 13172588*d**2 - 1909528944*d + 65595144402.\nAnswer: 2*(d - 67)**2*(d + 2703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16921*h - 16893*h = 392. Let r be -4 - -2*(-1)\/2. Let k(i) = i**2 + 3*i + 4. Let o be k(r). Calculate the highest common divisor of o and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*s**4 + 19*s**3 - 9*s**2 + 3 wrt s?\nAnswer: -96*s + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)\/l*l*l*l**(-2\/7) assuming l is positive.\nAnswer: l**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/50 - (-9 - (-7569)\/810)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 6 = 5*v - 2*m, 0 = 4*v + 4*m + 8. Put 21, 1, v in increasing order.\nAnswer: v, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 divided by -24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + z = -0*z + 16104, 4*o - 12889 = 5*z. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1268130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-13)*j*j**(-2)*j*j*((j\/(j\/(j\/(j*(j\/(j\/j**(5\/4)*j))\/j)*j)))\/j)**(2\/15) assuming j is positive.\nAnswer: j**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847886.\nAnswer: 2, 3, 131, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (4 - (-10 - -24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -829, -829, -853, -913, -1021, -1189, -1429?\n\"Answer: -2*r**3 + 14*r - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115\/2 - -62. Which is the fourth smallest value? (a) o (b) 3 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o + 10. Let b = o + 5. Sort -2, 2\/7, b in descending order.\nAnswer: 2\/7, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23884.65 kilometers?\nAnswer: 2388465000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvav. What is prob of sequence ta?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -40*f**2. Let a(y) = y**3 + 8*y**2 - 13*y - 14. Let x be a(-9). Let p(j) = -x + 51 + 2*j - 29. What is p(b(w))?\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1558788 - -5?\nAnswer: -1558783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 58*i + 1. Let k(n) = 3708*n**2 + 4176*n + 72. Calculate 72*b(f) - k(f).\nAnswer: -3708*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*r + 2115404 - 2118564 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/(-36))\/((-1)\/9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*u = -1346754 + 1369554 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -44, 2, -1 in descending order.\nAnswer: 2, -1, -4, -9, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w - 3\/32*w**4 + 0 - 132*w**2 + 1\/240*w**5 - 13\/6*w**3. Factor s(l).\nAnswer: (l - 13)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-8)*(-92)\/46*-1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.18 + 0.18. Let k = 7.99936 + y. What is k rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5876440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4313 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 2*d**2 + 0*d**2 + (7 + 1 - 1)*(-2*d + d**2 + 2*d) - 4*d**2 + 0*d**2 + d**2 + d - 2*d**2 - d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*i + 18, -4*j - 13 = -5*i - 3*j. Let c be 6*5\/(-20) + 0. Sort 1\/4, c, i, 0.6 in decreasing order.\nAnswer: i, 0.6, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**4)**(-16)*(i*i*(i*i**(3\/4)\/i)\/i)\/i**(-6))**(-1\/19))**45 assuming i is positive.\nAnswer: i**(13005\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3825)\/1020)\/((-720)\/(-5568))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-3 - -18)\/3. Suppose -z*h + 5*h = 15. Solve 0 = 4*f + 3*x + h, 3*f - 10 = 2*x - 0*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8390696216?\nAnswer: 2, 7, 149833861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140.9 - 141. Let g be ((-27)\/7)\/3 + (-4)\/(-14). What is the closest to l in -0.5, -4, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2 (c) -2\/11 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129 - -30) + 104 - (-1 + 4) - (0 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8715718*i**3 - 66383*i**2 - 29*i.\nAnswer: -52294308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a - 12?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/38 - 3 - (-34)\/38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y + 60*y - 33*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -29*k - 3 - 5 + 30*k. Let c be s(6). Let g(w) = w**3 + 2*w + 1. Give g(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.7 + 20. Let m = 1.2 - p. Let k = m - 0.4. Put k, -5, -3\/2 in descending order.\nAnswer: k, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1467 = 95*q - 813 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 41, 54, 69, 86?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p + 1\/3*p**3 - 2*p**2 - 3\/10*p**5 + 0 + 0*p**4. What is the derivative of o(n) wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -47 (b) -15 (c) 3\/4 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -11 + 15 + -1 + -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*v = 115*v. What is the smallest value in v, -5, 17, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/72 and -91\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*53)\/(20\/20). Let k(p) = 2*p**3 + 3*p**2 + 2*p + 1. Let i be k(-2). Let x = i + b. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 7*l**2 + 7*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 19 (b) 0.1 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - -1a71ac2?\nAnswer: 1a71aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 4 - 1 + 3. Let f be j(-7). Is (-792)\/f - (-2)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:52 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706523.\nAnswer: 706523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-12)\/(-16)) - 2*-1. Let j be 7\/(-6) - (-2)\/4. Which is the closest to j? (a) -0.5 (b) -4\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-7) + (3 - 6). Sort -3, -2, -1\/2, t in decreasing order.\nAnswer: -1\/2, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k + 1152 = 142*k - 65*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7223028183?\nAnswer: 3, 7, 114651241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 10 - 5 + 15. Let z(x) be the second derivative of 2*x**3\/3 - x. What is s(z(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4101 is divided by 1686.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -813, -6601, -22337, -53001, -103573, -179033, -284361, -424537?\n\"Answer: -830*w**3 + 6*w**2 + 4*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/4)*c)\/c**0)\/((c*c*c\/(c\/c**(2\/11)))\/c**(-1\/4)) assuming c is positive.\nAnswer: c**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000136670905 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1123924*k**4*q**3 - 12*k**4*q - 2*k**3 + 3*k**2*q**2 - 1769*k*q**3 + 887*q**3 wrt k.\nAnswer: 26974176*k*q**3 - 288*k*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Solve v*o - 2 = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21257 + 62141. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*a + 4*t + 25, 0 = -2*a - 4*t - 28. Is a\/14 - 3483\/(-63) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 + 2?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392605*f**3 - 392688*f**3 + 3 - 3.\nAnswer: -83*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734 = -131*l + 603 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 - 6*v + 4. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 49 + 47 + n - 124.\nAnswer: n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526, -1092, -1640, -2140, -2562, -2876?\nAnswer: -3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -53*s**2. Let d(u) = 2*u - 125. Give d(b(i)).\nAnswer: -106*i**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03672257156 to six dps.\nAnswer: 0.036723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/51? (a) 0.4 (b) -3 (c) -1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 363, 726, 1089, 1452?\n\"Answer: 363*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -124. Suppose r*a - 96 = -4*a. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 490 = -40*m - 72*m. What is the nearest to -25 in m, -4, -0.5, -1\/26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -143, -214, -313, -440?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2545 = 9*q - 2693. Suppose -598 = -4*m - q. Solve -m = 2*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -784, -783, -782, -781, -780, -779?\n\"Answer: a - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/9 + l\/3 - 40. Let w(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 33*g - 694. Let u be i(21). What is the nearest to -0.1 in u, 11.5, -3\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*s + 1\/4*s**3 + 3\/4*s**2 - 3\/4 = 0 for s.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q\/q**(-5\/14))\/q)\/q))\/q)\/q**(-14) assuming q is positive.\nAnswer: q**(205\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40)*4\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59403*t - 2*v = -59398*t - 4*v + 94, 0 = -v + 2 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 0)*((-3*j - 2*j**3 + 3*j)*(-j + 2*j - 3*j) + (0*j + 0*j + 2*j**3)*(2*j - j - 3*j) + 3*j**4 + 0*j**4 - j**4 + 2084*j**3 - 2084*j**3 - 183*j**4).\nAnswer: 1267*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.367 * -0.3.\nAnswer: -31.6101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 8*k**2 - 9*k + 8. Suppose -4*b = -3 + 7. Let t be 3\/(b + 1 - -3)*7. Calculate r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.3 (b) -59 (c) 2\/9 (d) -3.07 (e) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -i + 7*h, i - h - 10 + 29 = 14 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650 divided by 2.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -2.5. Suppose -43 - 1 = -2*k. Let i be (-48)\/k + 0 + 2. Which is the biggest value? (a) i (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.9 * 2.7.\nAnswer: -26.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 1. Let m be u(-3). Suppose 13*c = -10 - 29. Let t be 3*(20\/6 + c). What is the highest common divisor of m and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491, 988, 1497, 2024, 2575, 3156, 3773?\nAnswer: 4432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6566, -13134, -19702, -26270, -32838?\nAnswer: -39406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22322033300210 - 3?\nAnswer: 22322033300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.22324 greater than or equal to -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2225 + -524. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 92 = -26. Suppose 3*n = 6*n - 5*u + 4, -8 = -4*u. Suppose -5*y = n*q - 49, q + 13 = -2*y + 32. Calculate the greatest common divisor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 1. Let i be k(-1). Suppose i*q + q = 3. Let d(n) = 5*n**2 - q + 2*n**2 - 4*n**2 - 3*n + n**3. Determine d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 71980*d**2 - 504032*d + 432048.\nAnswer: 4*(d - 6)*(d - 1)*(d + 18002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2901065 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130339 and 22111628?\nAnswer: 7667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -3.3583\nAnswer: -67.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -189? (a) 1\/7 (b) 1.5 (c) 11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*g = 1 - 0, 3 = -3*z - 3*g. Let j be 72\/(-40)*10\/(-6). Solve f = -5*n, -z*f = -3*f - 2*n - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 6 (c) -277 (d) -0.3 (e) -1\/9 (f) 9\/2 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, -1\/12, 1, -2\/3, 0 in decreasing order.\nAnswer: 1, 0.31, 0, -1\/12, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/15 + 408*s**2\/5 + 12320*s - 758912\/15 = 0. Calculate s.\nAnswer: -308, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j**3 + j**2 + j. Let g be y(-1). Suppose f = -i + 6, 0 = -f + 3*f - i - g. Factor 0 + 14*a + f*a**2 + 1 + 3.\nAnswer: 2*(a + 2)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -591101.59 and -15055.\nAnswer: -606156.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26483 at least as big as 26481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - 3*z + 3. Let n(a) be the first derivative of a**4\/4 + a**2\/2 - a - 6. What is 2*l(d) + 6*n(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = -4. Suppose -k + 7 = y*x, 4*k + 5 = 5*x - 9. Suppose -1 = -5*h - 3*t - 3, -t = 2*h. Put -3, h, k in descending order.\nAnswer: h, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001202 to seven dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12984330 divided by 1329\nAnswer: -9770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 302 (b) 0.3 (c) 2\/13 (d) 0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9291 and 11742.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3)\/(-6)*-6. Suppose 0 = -2*p + 8, -q*p + 20 = y + 3. What is the remainder when 13 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**5\/15 - a**3\/3 - 2*a**2 + 2. Let k(w) be the second derivative of o(w). Differentiate k(x) with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 6*w + 56, 3*w = 6*w + 10 + 28 - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/84)\/((-2)\/(-14)). Solve -n*z - 3 = l - 2, 0 = 3*l + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443 is divided by 205.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 2*s**2)*(-20*s + 68 + 9*s + 9*s).\nAnswer: 4*s**3 - 136*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-118473.\nAnswer: -142167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 take away 36372?\nAnswer: -35002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.38 * 1.\nAnswer: 56.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -69*c**3 - c**2 - 35*c + 33. Determine v(1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f**2 - 4*f + 1. Determine s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -p + 9060 - 8966, p + 3*o - 71 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -0.46. Let r = -0.4 + -0.6. Which is the nearest to 0.1? (a) r (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11537*l + 3036507 = 11604*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 268*i**2 - 11*i + 30. Determine v(-2).\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2. Let a(z) = 228*z**2. Calculate o(a(v)).\nAnswer: -103968*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.58 + -4.58. What is the second biggest value in -5, 3\/14, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {a: 3, w: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -2*m + 13 + 49, 8*d - 216 = -4*m + 60 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32101 + 3?\nAnswer: -32043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 13. Let f = p + -7. Solve f = -5*n + 9 + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 15*y - 13 = 0. What is y?\nAnswer: 1, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16082 (base 9) to base 12.\nAnswer: 6455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 65) + 80 - (1 - 30).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:07 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:36 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 3, r: 6, u: 4, y: 1, i: 4}. Give prob of sequence rjwy.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-1720)*4\/6.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 94\/5*c**2 - 4418\/5*c - 182 - 2\/15*c**3. Find l such that q(l) = 0.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 18*p + 2. Let j be r(3). Suppose -2*i + a - 84 + 90 = 0, 7*a = 5*i + 3*a. What is the highest common factor of j and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.85? (a) -0.1 (b) -4 (c) 1\/6 (d) 1\/14 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 24.9.\nAnswer: -57.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*d - 10, d + 4*d - s = 0. Let z be (-136)\/(-32) + d\/(-4). Let m be ((-45)\/12 - -3)*z. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:51 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, -5\/2, 0, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 3*o**2 + 0 + 6*o**2 + 4 + 6*o. Let d be j(-3). Suppose -2*c - 5*a = -159, -5*c + d*a + 444 = a. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 + 3*d. Suppose -2*b + 4 = -0*b. Let v(q) be the first derivative of -q**3 + q**2 + 3. What is b*k(r) - 3*v(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5947 is divided by 330.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15141014 (base 7) in base 3?\nAnswer: 2201002022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099035 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653 divided by -1?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = -5*s, 5*s + 21 = -3*k + 4*k. Let l(q) = 22*q + 4*q**2 - k*q**2 - 23*q. Let g(m) = m**2. Calculate l(g(r)).\nAnswer: -2*r**4 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-12))\/(1\/(-8)). Suppose 0 = -3*s - 0*d + 5*d + 10, 0 = -l*s + d + 2. What is the second derivative of 2*h**3 + 0 + s + 2*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 108731*n. Let r(z) = z. What is r(b(p))?\nAnswer: 108731*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 5, -37899?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/4 - 11. Let i = 0.22 - -2.78. Let u = -1 - i. Sort u, 2, d in decreasing order.\nAnswer: 2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14415*m**3 - 72063*m**2 - 201870*m - 168 = 0. Calculate m.\nAnswer: -2, -4\/4805, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -157156 (base 11) in base 9?\nAnswer: -411328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -11*n - 9, -4*w + 52*n = 51*n + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - 2. Let f = -1 - r. Let x = 201 + -198. What is the third smallest value in f, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 580.6496 micrometers?\nAnswer: 580649.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*m**2 + 5*m**5 - 110*m**2 - 2*m**5 + m**5 + 8*m**4 - 2*m wrt m.\nAnswer: 240*m**2 + 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-69.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 6:04 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + 75. Suppose -5*j + 2 = h. Let o be (24\/j)\/(0 + -2 + -1). Which is the smallest value? (a) -2\/9 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.13 * 18.\nAnswer: -20.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321*c = -1604*c + 3962 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.656 + -168.\nAnswer: -167.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0756161 rounded to 3 dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/15 + (-1)\/(-3). Let u be 1\/p + 14\/(-4). What are the prime factors of (8\/u)\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2 - -5aa4?\nAnswer: 5a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -188247507 from 739.91.\nAnswer: 188248246.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000116797 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 474. Let j = 664 - l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*z + 493 + 1107 = 73*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Let l(s) be the second derivative of s**4\/4 + s. What is l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88\/100*5)\/((-11)\/(440\/(-16)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20524 is divided by 6840.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28458117 divided by 9486039\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stnccctsttnststnntct. Give prob of picking 1 s, 1 t, and 2 c.\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-21)\/6 + 5\/10. Is -1*3\/(b\/379) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2491 + 4979 + 41301*o - 2488 + (-4*o + 2*o + 3*o)*(-1 + 2 + 1) in the form f*o + x and give f.\nAnswer: 41303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 5*x**5 - 4*x**5 + (-92 + 7*x + 92)*(2*x**4 + 4 - 4).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(3*b**2 + 2*b**2 - 3*b**2) - 2*b + 2*b - b**2 - b**2 - 4*b**2 + 13*b**2)*(-9 + 9 + 6*b)*(0*b**2 + 3*b**2 - b**2).\nAnswer: 132*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(10\/(-5) + -27). Let j(n) = 17*n - g*n + 2 + 15*n. Let b(a) = 6*a + 5 + 0*a + 2*a. What is -4*b(d) + 11*j(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4037, 4031, 4025?\n\"Answer: -6*p + 4043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -q + 5931, 2*a - 6164 = 2*q - 18046. Suppose -14132 - q = -4*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3081 or 0?\nAnswer: 2\/3081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 52. Let a = 19 + b. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1834 - 979. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1320\/84)\/(1\/28). Let z = c - 217. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 + 17*a + 2. Suppose 9*t - 5*t - 28 = 0. Let f be u(t). Let x = f - 99. What is x rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -4. Let k = i - 4. Calculate the lowest common multiple of 14 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -2*z - 2*x, 5*z + x = 18. Suppose -z*p - 76 = -y, -2*y - 2*y + 346 = 2*p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36196426 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:38 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*x**3 - 389*x**3 - 355*x**3.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -147*g**4 + 5082*g**3 - 2868*g**2 + 408*g = 0.\nAnswer: 0, 2\/7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 2*b = 728, 3*j = -4*b - 568. Let l = j - -303. What is the remainder when l is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let g = -0.06 - -4.06. What is the nearest to 2 in g, -1, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148729223 is divided by 3709.\nAnswer: 3706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 414552?\nAnswer: -414548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:53 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3399479 = 7*j, -3*l = 5*j - 3*j - 2039706. Round l to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 2. Let p = -0.946 + -0.054. Let y = p + 0.4. Which is the biggest value? (a) y (b) f (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111772890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v**3 + v)*(0 + 0 + 2*v) + 0*v**4 + 2*v**4 - 3*v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0411352578 to three dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/491352 and -17\/110.\nAnswer: 27024360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 42 - 95 = -4*q - 7, -7*q + 202 = 5*f for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4816383, -4816381, -4816379, -4816377?\n\"Answer: 2*j - 4816385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.92 - 7525111.75.\nAnswer: -7525109.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = u. Suppose -u*y = -7*y. What is the remainder when (6\/(-3))\/(-1 - y) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129229281 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24103 + 1201?\nAnswer: -22602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 128 = 8*a. Suppose z + 2*n = 4*n + 13, 4*z - a = 4*n. Solve z - 6 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2443 or 9773\/4?\nAnswer: 2443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 236279904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 3*h + 20, 0 + 10 = p + 3*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*h = 31, -2*g + 0 - 2 = 3*h. Solve g*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -369\/13, -0.09, -0.4, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.081936953*3.\nAnswer: 0.245810859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 2:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2903?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -711.\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (23 - 14 - 13 - -18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.8, 0.2, 21, -3, 31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*h*s - 324*d*h + 929*d*s - 3*d - 24*h*s - 940136*s with respect to d.\nAnswer: 3*h*s - 324*h + 929*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4207 - -4287. Solve 71*k - s*k + 36 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-7)*2\/(-4). Let f = y + 41\/35. Suppose 3 = g - 1. Which is the biggest value? (a) g (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*p + 4*d = 56, -205*d + 28 = -4*p - 206*d for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7194954 by 1199159.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*b**2 + 282*a**2*c**2 + 197*a*b**2 + 6*a*b*c**2 - 2*a*c**2 wrt a.\nAnswer: -18*a*b**2 + 564*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*z - 2*x, 5*z + 0*x = -x + 22. Solve -g = s - 2 - 4, 2*g - 5 = z*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24*(-18)\/(-60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 5*n - 570507 = -31*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(2\/13))*s*s*s*s*s**(-2\/17))**30*(s**(-1)\/s)**(-3\/32)\/((s*s**(-1\/6))\/(s\/(s*s*s**(-5)))) assuming s is positive.\nAnswer: s**(903901\/10608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 38*s**2 + 100*s - 130. What are the prime factors of y(37)?\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -4.26439 to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 36. Suppose x + 2*x - i = n, i + 19 = 5*x. Calculate the remainder when 6 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553662076.\nAnswer: 2, 11, 73, 172373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-26 + 16) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22443948 divided by 2286?\nAnswer: 9818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Which is the third smallest value? (a) 0.1 (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 + -260. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 + 0*n**3 + 1\/12*n**4 - 7*n**2 + 0*n. Let u(w) = 21*w**2. Calculate u(j(c)).\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*a**2*h**2*s + 8*a**2*h*s - 31574*a**2 + 19679*h**3*s + 2*h wrt h.\nAnswer: -188*a**2*s + 118074*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (8 - 774\/48). Is o less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 217 = 533. Is k + -2 + -2 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628*-15262.\nAnswer: 9584536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - ((sqrt(77) - sqrt(77)*-3) + sqrt(77))*-4))\/(1*sqrt(7)*6).\nAnswer: 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 8*t + 2. Let b = -26 + 18. Calculate a(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440616 is divided by 288118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138081, -138083, -138085, -138087?\nAnswer: -138089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 1394.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8669985.99 to the nearest 10000.\nAnswer: -8670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/36)*c)\/c)**(-6\/5) assuming c is positive.\nAnswer: c**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 15. Suppose 24*h - 33 = 21*h. Let q(o) = -o - 3. Calculate h*q(u) + 2*d(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 + 36. Let l(k) = -23*k**2 + 102. Let c(g) = -17*f(g) + 6*l(g). Let n(r) = 10*r + 3. What is c(n(o))?\nAnswer: -200*o**2 - 120*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 8475992.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -57. Suppose 11*p = b*p + 162. Let q = -19 + p. Solve -10 = -5*t + 5*u + 5, q = 4*t - 2*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540 divided by -110.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 53 - 2185. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1262632 and -3?\nAnswer: 3787896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 183740 divided by -4?\nAnswer: -45935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33120 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22133128 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, -4 in decreasing order.\nAnswer: -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 13087156\/3 and 4362384 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18299 (base 13) to base 8.\nAnswer: -133011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72782 and 127142.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5702, -11410, -17118, -22826?\nAnswer: -28534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**3 + 5*n**3 - 20*n**3 + 417*n - 175*n.\nAnswer: 2*n**3 + 242*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. What is the third derivative of -o*l**2 + 4*l**2 + 3*l**3 + 3*l**2 - 4*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t**5\/9 - 4874*t**4\/9 - 613906*t**3\/9 + 3700076*t**2\/9 + 321104*t\/3 = 0. What is t?\nAnswer: -427, -188, -1\/4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46575674 - 3?\nAnswer: -46575677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1639231898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182\/5 - -38. Let x = 19\/15 - f. Put 4, x, -4 in decreasing order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Let m(v) = v**3 - 11*v**2 - 15*v + 39. Let n be m(12). Suppose 0 = 3*z - n*g, -10 = 3*z - g - 2. Sort q, 5, z.\nAnswer: z, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*i - 40 = 30, -2*m = 2*i - 32. Suppose 0 = -2*x + 91 + 9. Suppose -4*k + 598 + x = 0. What is the remainder when k is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66366695243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14*z**(-6\/13))\/((z*((z*z**16*z*z)\/z)\/z*z)\/z**(-2\/15)) assuming z is positive.\nAnswer: z**(-1091\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c + 13. Let n(a) = -3*a - 4. Let d(l) = -7*n(l) - 2*p(l). Let z(y) = 86*y - 4. Let t be z(0). Determine d(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 + -0.17. Let n = -4.5 - -5. What is the nearest to 1\/3 in r, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72183177 + -2?\nAnswer: -72183180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 1:20 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3173, 3187, 3203, 3221, 3241, 3263, 3287?\n\"Answer: t**2 + 11*t + 3161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1122122022 (base 3) to base 13\nAnswer: 11a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfifzffizzfzzz. What is prob of picking 2 f?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 4*x + x)*(11*x - 28*x - 18*x) + (0*x + 3*x - 2*x)*(-1 + 2*x + 1) - x**2 + 2*x**2 - 2*x**2 as j*x + m*x**2 + f and give m.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 11529*y + 196 = 11533*y, 14*y + 19 = -p for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {d: 1, f: 8, t: 7, y: 2}.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/60 - 4*f**5\/15 - 35*f**4\/4 + 2155*f**2. What is h in l(h) = 0?\nAnswer: -7, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0094762 rounded to four decimal places?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -17. Suppose -m = -5*q - o + 39, 5*q + m - 30 = 0. Let u(x) = 7*x**2 - 117*x + 118. Calculate the lowest common multiple of u(1) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhpmhvjkhvvmhkpj. Give prob of sequence khmm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 8:25 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -4*j**2 + 0*j**3 + 1\/168*j**4 + 0*j + 1\/56*j**6 + 0 - 1\/147*j**8 - 4\/735*j**7 + 2\/105*j**5. What is i in d(i) = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:44 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5820321343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 2*s**2 - 11*s - 20. Determine y(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -0.45.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**3\/3 - 1. Let t(g) = -g - 2. Let h(p) = 18*p + 20. Let z(u) = -h(u) - 10*t(u). Give z(f(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2168 and 18241823?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -63*y - 18. Let m = -158 - -156. Is v(m) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbuppbpppbpppppb. Give prob of picking 1 u and 1 b.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -116*i**2 + 226*i**2 - 111*i**2. Let j(f) = f**2 + 10*f**2 - 3*f**2. Give d(j(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3215074 - 2?\nAnswer: -3215076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18834 - 2424. Suppose 298*c = 288*c + j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2901 = 8*f - 10541 + 1610. Calculate the lowest common multiple of 783 and f.\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.433642846 rounded to one dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/4 + 242215*m**3\/4 + 3666484134*m**2 - 33002777776*m + 29336233088 = 0. Calculate m.\nAnswer: -121112, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + 84 - (-1 + 11) - -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -500, -513, -528, -545?\n\"Answer: -k**2 - 10*k - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*v + 1450897 = 1445014 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16662 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1\/4, -3 in decreasing order.\nAnswer: -1\/4, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.00039 and -0.4?\nAnswer: 0.40039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20627344 to the nearest integer?\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 42*h - 23*h + 103*h + 99*h.\nAnswer: 208*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 11*b + 6. What are the prime factors of y(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**2 + 94085*l + 94079*l - 281891*l + 93726*l.\nAnswer: 29*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5*i = 712. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumgiuumummmuiuiuu. Give prob of sequence ig.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-5))\/m*m*m**(-3))**(-5\/7)\/((m**(2\/3))**(-1\/27)*m**(-3)\/(m*m**0)) assuming m is positive.\nAnswer: m**(1067\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8245, 32964, 74157, 131824, 205965, 296580?\nAnswer: 403669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/111485423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46902, -93812, -140722, -187632, -234542?\nAnswer: -281452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1480, 12513, 42542, 101065, 197580, 341585, 542578?\nAnswer: 810057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-5) + 3*4)*1. Suppose -5*b + 5*z - a = 21, -12 = -3*z. Is -1 - 15\/b - -483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*q - 115. Let s = q + 17. Calculate the remainder when 94 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 80\/7 + 90\/7*q**2 + 2\/7*q**3 + 166\/7*q - 2\/7*q**4 = 0.\nAnswer: -5, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2 + 144 + 57 = 8*r, 3*s - 4*r + 89 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6956057, -13912115, -20868173, -27824231?\n\"Answer: -6956058*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -4\/5 (c) -3\/5 (d) -1 (e) -4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*x - 8*x - 3*l, l - 2 = -5*x. Suppose -14*w = -165 + 53. Let r be (w\/(-3) + 2)\/(134 - -31). Is x < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 375*u - 21061. Determine m(-42).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = -3*m + 44, 2*j = m - 8. Let a(h) = h**3 + 7*h**2 + 7*h + 6. Let b be a(-5). Differentiate -m*o + 4*o + b - 5 with respect to o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 14*l = 1. Let o(y) be the third derivative of 14*y**5\/15 - y**4\/8 + y**3\/3 - 7*y**2. Is o(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/sqrt(72))\/(sqrt(300) + (1*sqrt(300) - sqrt(300)) + sqrt(300)).\nAnswer: sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*s + 10, -33*i + 25*i - 2*s + 0*s - 22 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17455*l**2 - 42 - 38 + 0*l + 81 + 0*l + 17457*l**2.\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000153445892 rounded to seven dps?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.4897\nAnswer: -0.09794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1086*c + 7639. What is x(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-14 + 8). Let h be ((-2)\/6)\/((-2)\/78). Solve 2*b + h = s*b - 5*o, -5*b - 13 = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/5*-1130 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 12, 0.3, 2\/245, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - i**3 + 4*i**3)*(-5 + 0 - 11*i + 5).\nAnswer: -88*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 13. Let i(j) = 8*j - 7. Let t(h) = -9*h + 8. Calculate a*i(y) - 6*t(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 541165.\nAnswer: 3\/541165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1414 + 13?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.2, -0.1, -21 in increasing order.\nAnswer: -21, -0.1, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 892 * 1\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -282 divided by -26\nAnswer: 141\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1300) + -3)*-5)**2 - ((((sqrt(1053) + -1)*-1)**2 - sqrt(1053)) + 0 + 0 + sqrt(1053)).\nAnswer: -2982*sqrt(13) + 129171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 7 = -3*u + 4, s = u + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -173, -344, -529, -734, -965, -1228, -1529, -1874?\n\"Answer: -n**3 - n**2 - 161*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1310449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5080, 5085, 5092, 5101, 5112, 5125, 5140?\n\"Answer: q**2 + 2*q + 5077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0) + -162 + 155.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**4\/3 + 3950*o**3 - 11855*o**2\/3 = 0.\nAnswer: -2371, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 208619*t - 1251570.\nAnswer: -(t - 6)*(4*t - 208595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*n + n - 83, u - 5*n + 8 = 0. Suppose 0 = -2*v + 49 - u. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -43 + 47. Let g = j + 3. Let y be 499 + ((-8)\/g - -3). Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 2*c - 1. Let d(r) = 20*r**2 - 191*r - 4. Calculate -d(t) + 4*m(t).\nAnswer: -4*t**2 + 199*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31500 = -47617*p + 48492*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 119, -2064 in decreasing order.\nAnswer: 119, 2, -2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b + 7*b)*(0*b**3 - 2*b**3 + 10 + 0*b**2 + 2*b**2).\nAnswer: -24*b**4 + 24*b**3 + 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 2*b**2 + 16603 - 16629.\nAnswer: b**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-816)\/153 + 0 + 5)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 222, 230, 252, 294, 362, 462?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, a: 5}. Give prob of picking 1 c and 1 a.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-410)\/(-46494))\/((-2)\/((-36)\/15)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {b: 2, l: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 201 = -29 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -18, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 3*o + 2. Let j be p(1). Suppose -8*u + 1270 = j*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (24\/(-18))\/(-2) + -5 - (-45080)\/(-840)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 3\/(-2))*4. Suppose -t*b + 5 = 3*b. Let g = 7.4 + -7. What is the third biggest value in -0.3, b, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 53. Suppose -4*z + 368 = -4*g, 2*z = b*z - 5*g - 286. Suppose 5*c = f - z, 5*c + 524 - 206 = 4*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -10 (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j - 2\/3*j**3 + 3\/2*j**2 - 1\/24*j**4 + 3. Let y(o) be the second derivative of p(o). Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12000)\/(-14))\/(40\/8400). What is v rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/3)\/((-25)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1566*f**2 + 75 - 113 + 38.\nAnswer: 1566*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(2) - sqrt(7) - (-4 + sqrt(14)\/sqrt(2)).\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5295 and 4065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1830\/(-60) + 9\/2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842*k**3*u - k**3 - 526*k**2*u - 8*k**2 - 58*k*u - 2*k - 14824 wrt k.\nAnswer: -5052*k*u - 6*k - 1052*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-10)*-3 + (-1)\/5. Let h be (-8 - -7 - g)\/(-1). Which is smaller: h or 3\/89?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(18\/168*7)*(-165)\/22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 6*w**2 - 4*w + 6. Let l(d) = 2*d**2 + d + 1. Let i be l(-2). What is the remainder when x(i) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (35\/7 - 8) + 1 + 52. Let q = 57 - v. Solve -a - 3 = 3*a - 5*s, -5*a = -3*s + q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxxpxpry. Give prob of picking 1 x, 1 r, 1 p, and 1 y.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6450 and -0.08421?\nAnswer: 6450.08421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 23 = -4*t + a, 5*t = 4*a + 15. Let g = -5 + t. Solve g*s + 2*s = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/828, -4, -1, -2\/13, 5\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 17*t**2 - 1043*t + 77. Give c(61).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*m + 10, 0*m + 13 = 4*m - 5*y. Suppose m*p - 28 = 4*x, -1 = 2*p - 3*x - 28. Suppose -3*a = a - p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 - o**2 - 2*o - 2. Calculate u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 3*x - 1\/2*x**2 + 1\/6*x**4 + 9\/5*x**5 + 0 + 0*x**3. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:58 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -7, 3, -3, -16 in descending order.\nAnswer: 3, 0, -1, -3, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132977.4216 rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6480)*36*-10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145 - -3) + (64 - (79 - 40)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/(sqrt(1089) + sqrt(9)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23550227 to the nearest integer?\nAnswer: 4853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -108*c - 1286. Let y be v(-12). Solve 5*b = y*b - 2*l - 6, -3*b - 5*l = 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 4*m**2 + 6*m**2)*(157 + 53*m - 157) + 0*m + 0*m - m**3 + 2*m**3 + 2*m**3 + 2*m**3 + m**3 - 2*m + 2*m.\nAnswer: 59*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -66. Calculate the lowest common multiple of 4 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -44, -136, -318, -620, -1072, -1704, -2546?\n\"Answer: -5*f**3 + 3*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6486 by 3.\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c - 9. Suppose 9*m + 6 = 11*m. Let p(v) = -7*v + 8 + 23*v - 19*v - m. Give -5*p(h) - 3*x(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - r**3 - 6*r**3 + r**3 + 0*r**3 + r**3 + 4*r - 4*r + 0*r**3 - r**3 - r**3 + (0*r**2 - r**2 + 3*r**2)*(4*r - 2*r - 3*r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x*x*(x*(x*x**(-1\/8)*x*x*x*x)\/x)\/x)\/((x\/x**13)\/(x*x**(5\/2)\/x*x)) assuming x is positive.\nAnswer: x**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 29, -1, -253 in descending order.\nAnswer: 29, 8, 4, -1, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -1, 3, 0.5 in descending order.\nAnswer: 3, 0.5, 0.14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from paappa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24113 - 24116. Which is the nearest to -1? (a) r (b) -499\/5 (c) -3\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(1 + 18\/(-15)). Let f be (-1)\/5 + 99\/z. Suppose -4*h + 52 = -f*h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s**2 + s + 5. Let i be l(-6). Let j = -205 - i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from xxypxyhppyxyyyygyxg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2580)\/493425 + (-6)\/(-135)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -302033, -604075, -906121, -1208171, -1510225, -1812283?\n\"Answer: -2*o**2 - 302036*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 5*j - j**3 + 24 + 9*j**2 - 22. Suppose -5*s - 2*f = -5, -4*s - 1 - 2 = 3*f. What is m(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4\/5 + 13479*u**3\/5 - 4060503*u**2 + 10422685821*u\/5 - 257500867182\/5 = 0 for u.\nAnswer: 26, 1489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**35\/(((b**(1\/18)\/b)\/b)\/b))\/((b\/(b\/(b*b*b**(2\/7)))*b*b)\/b*b**(-17)) assuming b is positive.\nAnswer: b**(6509\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-8)\/(-4)*2*(-7)\/(-56))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from {n: 2, x: 1, k: 5, q: 4, a: 1, j: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -611 - -11021. What are the prime factors of d?\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*x + 826*x + 470 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - w = -785, -2*p - 3*w + 787 = 2*p. Calculate the remainder when 27 is divided by (-80)\/(-14) - (-56)\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3012715us?\nAnswer: 0.0003012715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4413, 4407, 4397, 4383, 4365?\nAnswer: 4343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 815.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2132 + -2?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945 a factor of 1230035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 5, 1.44, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/15 (c) 0.7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 5848*t**2 - 75765*t + 525150.\nAnswer: -(t - 5)*(t + 18)*(t + 5835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 507*r - 157*r**2 - 251*r - 256*r - 2*r**3 to the form v*r + n*r**2 + k + z*r**3 and give n.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 10:35 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 21?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 18 + 7*j**3 + 0*j + 0*j**2 + 7\/24*j**4 + 1\/120*j**5. Let f(s) be the third derivative of g(s). Give f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223566 (base 7) to base 4.\nAnswer: -21230322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*u - 183*u + 726*u - 12672 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135216 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - 3*o + 2*o)*(-3*o + 3*o - 2*o) + 5*o**2 - 2*o**2 + o**2 + 5*o**2 - 3*o**2 - 3*o**2 + (-1 + 1 + 3*o)*(0 + o + 0) - o**2 + 0 + 0)*(4 + 3 - 4).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/2 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12624 rounded to 3 dps?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**5\/2 + 200*v**4 - 62473*v**3\/2 + 739771*v**2 - 1293558*v + 584820 = 0.\nAnswer: -135, 6\/7, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5388\/7, 5.5.\nAnswer: -5388\/7, 0.1, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:43 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14450\/13*s + 0 - 340\/13*s**2 - 2\/13*s**3.\nAnswer: -2*s*(s + 85)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346236 divided by 44?\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**34)\/q)\/(q\/q**(-5)) assuming q is positive.\nAnswer: q**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 220539 * -98.\nAnswer: -21612822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 48 + 9 = -5*j, 3*j + 4*p = 37. Let f(o) = o**3 - 3*o**2 - 5. Let k be f(4). Let i = k - j. What is the remainder when 7 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2352 + -0.205. What is s rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -991101*a**4*v**3 - 14*a**4 - 17*a**2 + 8*a*v**3 - 21157*v**3 + v wrt a?\nAnswer: -23786424*a*v**3 - 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -33 - (1 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 1*(2*sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153)) + sqrt(153))\/((sqrt(9) + sqrt(27)\/sqrt(3))*-6).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1404 + 3856?\nAnswer: 505a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - (-434 - (12 + 1 + -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10010121?\nAnswer: 10010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7)*2)*-2 - (sqrt(2) + 2*sqrt(2)*3 + (sqrt(20) + sqrt(20) + sqrt(20)*-1)\/sqrt(10)))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/14 + 4 + 7\/(-14)*67\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 - 6*h - 11. Suppose -4*z = c + 3*c - 32, 4*c = -z + 17. Let i(w) = 119*w - 7*w**2 - 4 - 121*w + z*w**2. Calculate -8*i(k) + 3*v(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 2. Let y = 2123 + -2125. Give a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8772, 13176, 17580, 21984, 26388, 30792?\n\"Answer: 4404*v + 4368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-16))\/(1\/(-6)). Let g = k + 1. Let d be (-1)\/g + (-40)\/(-16). Solve -2*q + d = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 398983*b**3*o - 1458*b**3 + 356*b wrt o?\nAnswer: 398983*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 11*g**2 + 12*g. Determine o(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 1\/4, -2\/3, -3214\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -7. Suppose 0 = 10*y - x*y - 12. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.5 + 69. Let s = -3.5 - t. Which is the biggest value? (a) -0.13 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 197 = -4*b + d, -b - 3*d = -28. What is the third derivative of b*s**5 + 8*s**2 + 24*s**5 + 2 - 5 - 2*s**2 wrt s?\nAnswer: 4020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 4. Suppose 2*d + 3*d - 10 = 0. Suppose -2 + 4 = -d*q - 2*x, 0 = -3*q + 3*x + 27. Determine m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 216\/99)*4\/6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*d - 24 = -1021*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 13*p - 31. What is c(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 3, w: 5, x: 4, p: 3}. What is prob of sequence pop?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9285739.3179 + 9286152. Let u = h + 0.4179. Round u to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 12*v**2\/5 + 32*v\/5.\nAnswer: -2*v*(v - 2)*(v + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2885204 and 0.04.\nAnswer: 2885204.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288669?\nAnswer: 3, 96223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-8 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -1722, -6218, -15080, -29766?\nAnswer: -51734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = o - 938171 + 938153, 3*o + 4*k + 14 = 6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14735 or -14698?\nAnswer: -14735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 306 = 249. Let r = 211 - p. Let a = -97 + r. Solve 4*z - a*z = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, g: 1, i: 3, n: 7}. Give prob of picking 1 n and 1 g.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22951236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 4, n: 5}. What is prob of picking 2 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22340030 (base 5) to base 10.\nAnswer: 199390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/15 + 5*(-4)\/(-60). Put v, 0, 0.1, 0.4 in ascending order.\nAnswer: v, 0, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 2783?\nAnswer: 19481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/24 + 5*g**3\/3 + 36*g**2. Calculate the least common multiple of d(9) and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**3 - 18*s**3 - 15*s**3 + (0*s + 3*s - 5*s)*(-2*s**2 - 4*s**2 + 13*s**2).\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrberrrr. Give prob of sequence rer.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-27) - 35\/(-45)) + 6. Suppose j*w - 68 = -54. Solve -r = -4*s + 25, 0 = w*s - 0*s + 3*r + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)\/(w\/(w\/w**(2\/11)))*w\/w**(2\/15)*w*w*w\/w**11 assuming w is positive.\nAnswer: w**(-3352\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3034 + 1501. What are the prime factors of t?\nAnswer: 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (14 + -10)) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + 5 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4\/7, 216.26, 8, 8\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 + 4*b**2 + 1 - 48*b**3 + 39*b**3 - b + b**4 as x*b**4 + k*b**3 + l*b + f*b**2 + a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -11, -1, -4, -2, -1453 in increasing order.\nAnswer: -1453, -11, -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8284720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5594971 - 10721097\nAnswer: -16316068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z. Let m(t) = -3*t. Let v(h) = 3*f(h) + 4*m(h). Let l(r) = -36*r**2. Give v(l(s)).\nAnswer: -3888*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -14*p**2 + 75*p - 12. Let c be j(5). What is the tens digit of 2\/c - 6848\/(-104)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*v + 102, 0*v - 5*v = -f + 39. Let g be 7 + 6\/f - (-1)\/(-4). Solve g = -2*h + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 + 1143*b + 1146 = 0.\nAnswer: -1, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose -12 = -m*l + l. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w + 3. Let y = 1 - w. Solve 0 = 3*s + 2*f - 5*f - 12, 2*f - 4 = -y*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2927726 years?\nAnswer: 0.0002927726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -384*t**5 - 200*t**4*v**2 + t**3 - 10*t**2 + 4310*v**2 wrt t?\nAnswer: -23040*t**2 - 4800*t*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*n - n. Put n, 6, -2 in ascending order.\nAnswer: n, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9764.\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2546 + 2640. Put -2, 0, q in increasing order.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1317502.18 + -4\nAnswer: -1317506.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83)\/9 + -2 + 11.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13725973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 8. Let o be s(4). Let i be ((-4)\/(-10))\/(o\/284). Let y = i - -28. Is -6 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -79.4. Let o = 8.9 + v. Let i = -7 - -10. What is the second biggest value in o, 4, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 525 - 121247?\nAnswer: -120622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -947 and -0.1.\nAnswer: 94.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2. Suppose -3*q + 12 = -0*q. Let b(p) = q*p - 4*p - 4*p + p. What is g(b(w))?\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 54031 divided by -2\nAnswer: -54031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(0 - -1) - (30 - 29). Suppose 0*c = -c + 3*z + 6, -c + 2*z = -v. Let d be (2 - 2 - -1) + -1. Put 5, c, d in increasing order.\nAnswer: c, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 1440091103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*m - 796*m + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 896 = 4*k - 4*j, -4*k + 4*j + 1204 = 0. Let d = -23 - -214. Suppose k = 3*n + 3*y, -y + 2*y = 2*n - d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 2, r: 1}. What is prob of sequence sqs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from twwgeyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 305*t + 449. What is f(-3)?\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -309534315 < -309534315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/15 + 1192\/6. What is the greatest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19827 - -107473.\nAnswer: 87646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143470 = 377*g - 302009 - 474444. Calculate the highest common factor of g and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19124185727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21048 is divided by 4189?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5694? (a) -1 (b) -0.1 (c) -2\/29 (d) 2\/9 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 16. Let w(n) = 3686*n. Give w(z(f)).\nAnswer: 11058*f**2 + 58976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -15 + 14 + (2 + -6 - 7) - -56.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*h = -n - 38, -4*n + 2*h = -98. Suppose 2*o - n = -34. Let b(w) = w**2 - 2*w - 1. Let i be b(3). What is the nearest to i in o, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose 4*o - 3*b - 18 = y, -b = 3*b - 8. Let t be o + -3 + 0 + 2. Solve -3 - t = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -112002111?\nAnswer: 112002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 872\/(-14) - (-4)\/14. Let i = 11 + -8. Is y\/(-5) - i\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18*v - 148. Let y be w(-8). Which is the biggest value? (a) y (b) -2\/19 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1.1, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(88) - (sqrt(88) - -1*sqrt(88))*-6))\/(1*-2*sqrt(1152)))**2.\nAnswer: 1859\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9716301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiinn. What is prob of picking 2 n and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 10 - (5 + -7). What is the second derivative of 6*y - u*y + 4*y**4 - 3*y**4 + 7*y wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 16*j**2 - 104*j + 101. Calculate the remainder when 1762 is divided by w(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 4. Let p = 119 - 122. What is the smallest value in m, p, 1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 + 405\/756?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2385263330 to the nearest integer?\nAnswer: 48839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -2*y**3\/3 + 12191. Let p(k) = 0 + 0 - 40*k**2. Determine p(f(o)).\nAnswer: -160*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 227.\nAnswer: 52437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghkh when four letters picked without replacement from {t: 1, k: 2, h: 5, j: 1, u: 1, g: 5}.\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*m - 345*m + 1292*m + 280*m = 0. Let m + 9\/4*h + 1\/4*h**3 + 5\/2*h**2 = 0. Calculate h.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10 = -5. Let w be (0 - 3\/x)*-5. Let v = w + 1. Which is the closest to -1\/2? (a) 0.1 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 2*j + 1. Let o be c(1). Let f = o - -6. Solve 0 = 2*z + 4 + 2, 2*z = 3*l - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33e03a0 - -1?\nAnswer: 33e03a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 77, 0.3?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184838*b**3 - 5958263 + 5958263.\nAnswer: -184838*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54658, 54604, 54550, 54496, 54442, 54388?\n\"Answer: -54*g + 54712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 11, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.1 - -86.9. Let q = -104 + c. What is the nearest to -0.2 in -1, -3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*a + 124, 3*a + i - 13 - 55 = 0. Calculate the highest common divisor of 56 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 11*g - 48. Let n be x(9). Let p be (-112)\/6 - 44\/n. Which is bigger: -16 or p?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/4 + 4*a**3\/3 - a**2\/2 - 8. Determine q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.945985 litres in millilitres?\nAnswer: 7945.985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10, 5*z - 72 - 70 = -a. Solve 6*w - 2 = z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/4 + 2017*v\/4 - 167167\/2 = 0. Calculate v.\nAnswer: -2171, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = 4*v - 2, -q - 3*v = 0. Is ((-4406)\/(-6))\/((-4)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 14299, -108 in decreasing order.\nAnswer: 14299, -26, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 23 = 2*n, t - 3*n + 10 = 0. Suppose -5*u + 1159 = 4*h, -t*h + 4*u - 659 = -2159. Calculate the highest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 11. Let b(v) be the third derivative of v**4\/24 - 5*v**3\/6 - 67*v**2. Let x be b(-5). Give s(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 + 0 - (10 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbhlkbab. What is prob of sequence kl?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - 5. Suppose -2*y - 1 - 3 = 0. What is the third biggest value in t, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -52*z**2 - 48. Let j(o) = -23*o**2 - 24. Determine 2*f(y) - 5*j(y).\nAnswer: 11*y**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/2251 or 37?\nAnswer: 58\/2251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4880924 and 5\/28.\nAnswer: 34166468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) -1\/8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - -10421?\nAnswer: 10444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30ebd (base 15) to base 14.\nAnswer: -407bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.738047231 to 2 decimal places.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3977, 2\/7, -1\/13, 5, -0.2 in decreasing order.\nAnswer: 3977, 5, 2\/7, -1\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(5\/45*6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75333 is divided by 7746.\nAnswer: 5619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*g - 100 - 368 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 3. Let n = 10 + l. Which is the second smallest value? (a) 1\/3 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30077, -30082, -30099, -30134, -30193, -30282, -30407, -30574?\nAnswer: -30789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 1\/90*j**6 + 1\/9*j**3 - 1\/315*j**7 + 0*j**5 - 1\/18*j**4 + 0*j - 3*j**2 + 0. Factor u(n).\nAnswer: -2*(n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 716 = b, 11*b - 12*b + 717 = 2*n. Let a = b - 709. Calculate the lowest common multiple of a and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47143662 and -3.34?\nAnswer: 47143665.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*1 + (sqrt(72) - sqrt(8))\/sqrt(4) + (sqrt(2) + 0)*5 + -3.\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3)\/l)\/(l\/(((l*l**4)\/l*l*l)\/l)))**38)**(4\/7) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36.8597863 and -94463.4?\nAnswer: 94500.2597863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4202 - 4?\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:15 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1512 in -4, 0.189, -2?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/24 - 5515*j**2. Let z(t) = -2*t - 6. Let d(s) = 5*s + 13. Let k(l) = -6*d(l) - 13*z(l). Calculate 3*k(x) - 8*n(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*u - 1744 + 745 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or -0.08?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 + 21*z + 9. Let k be h(-10). Which is the nearest to k? (a) 15 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 - 904*n + 274. Give u(101).\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (4 - 5) - (-15)\/3. Suppose -2*f - 2*u + 11906 = 0, 5*f = f + n*u + 23812. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -15 (b) -22 (c) -2 (d) 1\/6 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 71. Let u be 0\/(-1 - (-5 - -1)). What is the biggest value in d, -4, -0.1, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1813 - 8)\/((-3)\/(-15)). What are the prime factors of (2 - b\/6)\/(3\/2)?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (3\/(-1) - -3). Let a = 13 - 8. Suppose -f = a*d - 14. Solve -k = -d*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 - 3*t**2 + 6*t**2 + (2*t + 64 - 64)*(-2*t + 3*t + 3*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 + 51327*u**3 + 9*u**2 - 153987*u + 102654 = 0. Calculate u.\nAnswer: -2, 1, 17109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2b1 (base 13) to base 5\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 16, 2250.\nAnswer: 16, 23, 2250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 38*f**3 - 8*f**3 + 6*f**3 - 7*f**3. Let d(q) = 1190*q**3. Determine 5*d(k) - 204*w(k).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/12797?\nAnswer: -4\/12797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*l + 5*g - 10*g, -5*g + 26 = 2*l. Suppose 4*s + v = -3*v + 116, -l*v = -4*s + 81. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j + 8*j + 635802*j**4 + 12*j**2 - 5 + 6*j**5 - 636295*j**4 wrt j.\nAnswer: 360*j**2 - 11832*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1) + (-45 - -45) + 41\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -22 - 143. Suppose 0 = -9*c - 5*c + 42. Solve -3*k - u = 4*p, c*k = 3*p - 8*p - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157 and -3.8.\nAnswer: 596.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 20?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.4589, 0.4, 0.038?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, -1, -0.5, 0.3, -0.10614?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d. Let t(n) be the second derivative of 17*n**4\/6 + 1031*n. Determine t(q(b)).\nAnswer: 2176*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.21, -1\/94, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191495 - 191477.5737. Let j = 0.3393 - o. Let h = j + 17. Round h to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -703?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1, -19, -22?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*v - 2 + (0*v + 3*v - 2*v)*(5 + 8 - 6).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -637*k**3*o**3 - 2332*k**3*o - 2130*k**2*o**4 + 968*k**2*o wrt o?\nAnswer: -3822*k**3*o - 25560*k**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 3*s. Suppose x + 0*f = -3*f - 8, -5*f + 10 = 5*x. Let r be n(x). Let j = r + 81. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.49 from 24548.2.\nAnswer: 24557.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -68, -150, -250, -374, -528, -718, -950, -1230?\n\"Answer: -g**3 - 3*g**2 - 66*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372319 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109174.1099329 - -120901.1092. Let a = -11727 + s. Round a to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44450708705 and 0.5.\nAnswer: 44450708705.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17633 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 27*f**3 - 6*f**2 + 2. Suppose n - 29 = -4*g, -g + 12 = 4*n + 1. Let o be b(g). Let y = o - 143599\/16. What is the common denominator of y and 109\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 5, 7\/8, 6, -0.1, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let k(t) = t**3 + 10*t**2 - 8*t + 35. Let g be k(-11). Let f(m) = m + 2. Let o(p) = -1. Let c(a) = -f(a) - 2*o(a). Give g*s(h) - c(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 10*l**2 + 7*l - 13. Let x be i(-9). Suppose -c - x = -2*c. Suppose 124 = -m + c*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -8472.1.\nAnswer: -3388.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.3 + -52. Let d = s + -15.3. Which is the closest to -1\/2? (a) d (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - 3*g - 8. Let c = 37 + -23. Suppose -2*m + c = 4. Is t(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 39 - (1 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -858393523\/33 - -26009957. Let t = z + 1967. Let s = -14\/11 - t. Do -1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43655 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 + 3.66. Which is bigger: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9687 at most -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11192690 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/102)\/(7245\/(-1134))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(1176))\/(sqrt(12) - (sqrt(1728) + (sqrt(1728) - sqrt(1728)*-2))))**2.\nAnswer: -6235\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 + 1311*m + 1752. Let h(r) = 3*r. What is a(h(l))?\nAnswer: 54*l**2 + 3933*l + 1752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-2) + -3)*-2. Suppose -3*a = 5*n - 2 - 29, -4*n - 16 = -a. Calculate the lowest common multiple of g*6\/4*12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by -4.\nAnswer: -217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h. Suppose 0*w - 3*w = h. Suppose -4*i + 587 - 15 = w. Calculate the greatest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + 0 + (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 10*x - 4. Determine y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(6\/7))\/(d**(-3\/2)*d*d*d))**(3\/5) assuming d is positive.\nAnswer: d**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**3 + 5*u**3 - 2*u**4 + (-5*u + 5*u + 2*u**2)*(1742*u**2 - 3791*u**2 + 1445*u**2).\nAnswer: -1210*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r = -3*a - 401, r - 4*a - 70 = 0. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22009 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217700807 + -305530807. Round m to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 39*s + 4777. Let v(t) = -47*t - 4782. What is 6*u(r) + 5*v(r)?\nAnswer: -r + 4752","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 369, 5, 96, 1.\nAnswer: -3, 1, 5, 16, 96, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + u**3 - 31*u**2 + 0 + 50*u**2 - 27*u - 7. What is g(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 9*k**2 - 11. What are the prime factors of i(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11104655 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 1:43 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*o + 2, 2*x - 5 = -3*x + 5*o. Let f = 9 - 10. Let l be x - (1 - f - 6). Solve l*c + 3 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 15 + 5. Suppose 0 = n*c - 9*c - 3*l - 3, 0 = -4*c - 4*l - 4. Solve 2 = 2*b - c*j + 4*j, 0 = -3*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = s - 41, -m - 3*s = s + 6. Let h = 7 - 5. Is (h\/3)\/(m\/(-1455)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -11*i**2 - 8\/3*i**3 + 1\/8*i**4 + 0*i + 0. What is the remainder when 19 is divided by q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323 (base 4) in base 2?\nAnswer: -10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 12:10 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**2 + 10*g - 9. What is the units digit of z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9950 and 2025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371 - 537059*t + 739 - 368.\nAnswer: -537059*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18 = u - 0*u, -x = -u + 8. Let a = u + -8. Let m be (42\/(-35))\/(2\/a). Sort 2\/7, m, -1.\nAnswer: m, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-399)\/9 + (2 - -1) + 28\/60*5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:38 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/609730 and 106\/26565.\nAnswer: 12804330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l**2*s**3*w**3 + 58*l**2*s**3 + l**2 + 2*l*s**3 + 2*l*s*w + 18*w**3 wrt l.\nAnswer: -18*s**3*w**3 + 116*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 858952.1 rounded to the nearest ten thousand?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 887, 1773, 2661, 3551?\n\"Answer: c**2 + 883*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -26*t. Let j(x) = 5*x**2 + 4*x**2 - 19*x**2 - 6*x**2. What is j(d(l))?\nAnswer: -10816*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*d**3 + 14*d - 2584.\nAnswer: -84*d**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20892 and 2128?\nAnswer: 11114544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 13*s - 8. What is a(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(3\/3) - 4. Let j be 1148\/16 - 1\/r. What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 4088?\nAnswer: 3\/2044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:10 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r**0*r)))**(-5\/4)\/((r\/(r**1\/r*r))\/r*r)**(-1\/9))**(-2\/3) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 230 = 3*c - 216, -4*c = -4*p + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*j**2*v + h*p*v**2 + 479*h*v**2 - 2*j**2*v**2 - 5*j**2*v - 2*j*p*v - 8 wrt v?\nAnswer: 2*h*p + 958*h - 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086373 times 5?\nAnswer: -0.431865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 1. Let w(d) = 7*d - 2. Determine -5*u(k) - 4*w(k).\nAnswer: 7*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, m: 1, d: 8}. What is prob of sequence dm?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*-4*30\/48*((-28)\/20)\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q + 3031 - 1350 - 1681.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2 - (6 - 0) - (-51 + -409)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 110. Calculate the lowest common multiple of s and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248474 - 147073. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 92 + 7*g + 153 - 58 + 3*g**2 + g**4 to the form r*g**2 + h + d*g**3 + j*g + c*g**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-16) + (-47)\/(-68). Let i = 30933 - 2629378\/85. Let h = p - i. Is h at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788*a = 767*a + 11823. Let i = -2055 - -3803. Suppose a - i = -3*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -767*u - 29. Let j be c(1). Let f = j + 892. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744152.\nAnswer: 2, 167, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c. Let o(u) = -5*u. Let z(s) be the third derivative of s**5\/60 - s**4\/6 + 5*s**2. Let a(x) = 4*o(x) - 5*z(x). Calculate r(a(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 15 = -35*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from yylyllyyyyy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/2)*s\/(s**(-16)\/s)*s)\/((s\/(s**(-16)\/s))\/s**7) assuming s is positive.\nAnswer: s**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(-2*sqrt(12)\/sqrt(4)))\/(4*sqrt(6)\/sqrt(2) + sqrt(18)\/sqrt(96)))**2.\nAnswer: 52\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bymbamyvmbmbamym. Give prob of picking 2 b and 2 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2. Let s(t) = 15*t**2 + 560. Determine s(m(v)).\nAnswer: 15*v**4 + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71522*g**4*x - 13*g*x - 350535*x - 19 wrt g.\nAnswer: 286088*g**3*x - 13*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/((-51)\/136)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 2306 = -2391 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5 + 0 = -y, -2*y = -v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6*j - 3*s + 1284988 = 0, s = 4*j + 1027996. What is j rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302500 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 10. Let q(h) = -2*h**2 + 42*h - 35. Let s be q(21). Let n = g - s. Calculate the highest common divisor of n and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 4, d: 3, z: 2}. What is prob of sequence jzdz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 536 + 287.\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.9608228 to 2 decimal places.\nAnswer: -75.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 30 = 14*o + 5*h, h + 26 = 3*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1238407809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uusuqssttt. What is prob of picking 2 t and 2 u?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + -14 + 11 - (1 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 357452*x + 111800440766.\nAnswer: 2*(x + 625541)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4657 - 4573. Solve -40 = -b*f + 79*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411788497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 459103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8994 - 2.64. Round u to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416)*-2 - sqrt(416)) + (sqrt(26) + (sqrt(104)*-5 - sqrt(26)) - sqrt(26)))\/(sqrt(16)\/((sqrt(128) + sqrt(8))*2)).\nAnswer: -230*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 5*q**2 + 5*q + 6. Let b be g(-5). Let d = -9 - b. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 22, 79, 190, 373, 646?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1854*r - 10. Let y(k) = -5563*k + 34. Determine 7*h(n) + 2*y(n).\nAnswer: 1852*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126226, 126243, 126254, 126253, 126234, 126191?\nAnswer: 126118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*i = -9*i - 1602. What is the remainder when 41 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -928\/297?\nAnswer: -928\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 59 = 74 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - a + 49, -5*a = -2*z - a + 2. Let l = 35 - -64. What is the highest common factor of l and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/5)\/((-6)\/3). Which is the closest to y? (a) -0.5 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 13*a**2 - 39*a - 16. Let c be p(8). Let o be -16*(-9)\/8*2. Let h = o + c. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11510259 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863121?\nAnswer: 3, 7, 23, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 197*a**2 + 84. Let s(p) = -199*p**2 - 85. Let m(j) = 4*d(j) + 5*s(j). Differentiate m(c) with respect to c.\nAnswer: -414*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1122843 minus 16?\nAnswer: -15.8877157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66042, -66043, -66044, -66045, -66046, -66047?\nAnswer: -66048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78)\/(-182) + 16\/(-21). Which is the third smallest value? (a) 1 (b) j (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68253117 divided by 6?\nAnswer: 22751039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 122*c**2. Let u(h) = 173147*h. Determine v(u(w)).\nAnswer: 3657545800298*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39195500 and 424500.\nAnswer: 117586500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 6*d - 3*d + 14*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2240 and 19\/4480.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quuu when four letters picked without replacement from nuquqqquqnqnuununx.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6657 and 182.\nAnswer: 173082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:38 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -77*n - 4. Let o(m) = 7*m - 2. Let y(h) = -26*h + 8. Let j(q) = -4*o(q) - y(q). Give j(v(c)).\nAnswer: 154*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 5*n - 12. Let m be 5\/n + 3*4\/36. Suppose 3*f - 432 = -4*o - f, 0 = -m*o + f + 201. List the prime factors of o.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2*sqrt(17) + 3)**2 + 4.\nAnswer: -6*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (975\/(-52) - -4)*26\/(-117)*18.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3115*y + 16. Let m(z) = 1558*z + 6. Determine 2*d(c) - 5*m(c).\nAnswer: -1560*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/84 + 2*n**7\/105 - n**6\/30 - n**5\/15 + n**2. Let f(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:18 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435374043.\nAnswer: 3, 13, 11163437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 19*n**2 + 3*n - 53. Let m be q(19). Solve m*a - 18 = -k, a = 5 - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haah when four letters picked without replacement from hhaahhhhahhhhhhhha.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 < 718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = 3*n, -5*q + 5*n = 6*n - 24. What is the second derivative of 156*f**5 - 183*f**q + 89*f**4 + 10*f + 94*f**4 wrt f?\nAnswer: 3120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t - 13. Let k(w) = -w - 33. Let v be k(-7). Let g(i) = 4*i + 3. Give v*g(o) - 6*s(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*-1*3.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9*j + 15. Let f be (-1)\/(j*3\/(-225)). Let a = f - -24. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2. Let h(s) = -7*s**2. Let f(m) = 3*m**2. Suppose 21 - 1 = 4*l. Let p(v) = l*f(v) + 2*h(v). Determine p(q(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -30. Which is the third biggest value? (a) t (b) 2\/11 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*l = f - 12, -f = -2*l - 12. Let i(c) = c**2 - 13*c + 12. What is i(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-13 - (8 + -21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1382166297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70.9 and 2.14648.\nAnswer: 152.185432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8215 divided by -31?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88575?\nAnswer: 3, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 + -266.471. Let w = -0.42 - n. Which is the third smallest value? (a) w (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(25)\/(sqrt(20)\/sqrt(4))) + sqrt(18)*3 + (sqrt(2) + sqrt(4)\/(sqrt(2)*2))**2 + sqrt(2))*-5.\nAnswer: -55*sqrt(2) - 45\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4350*h**3 - 18413*h**3 - 2 - 15861*h**3.\nAnswer: -29924*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -1, 5 in increasing order.\nAnswer: -1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.183 - -0.083. Which is the nearest to w? (a) 10 (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 19*b**2 - 3. Let j be w(4). Let v be ((-90171)\/(-2796))\/(2\/(-56) - 30\/(-105)). Calculate the greatest common factor of j and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 656008*a**2*j**2 - 328*a*j**3 - 2*j**3 + 22857*j**2 + 294*j + 6 wrt a.\nAnswer: 1312016*a*j**2 - 328*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -546222 take away -1?\nAnswer: -546221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90304 and 35632?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 160.0132. Round x to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247045 and 1515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 93. Suppose -4*w + 10 = 2*u, -15 = -17*w + 20*w - j*u. Factor 1\/4*f**4 + w + 1\/4*f - 1\/4*f**2 - 1\/4*f**3.\nAnswer: f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -464.\nAnswer: -9\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -244 (c) 0.2 (d) -1 (e) 11.9 (f) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + (-1)\/(-1). Let l = -0.9412 + 0.7412. Which is the nearest to 0.2? (a) l (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/58, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/8)\/((-3)\/(-36)). Let d be (-4 - q)*(0 + -1). Suppose 5*p = 307 + d. Calculate the greatest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 5*f + 2018780 = -8*m, -3*m - 4*f = -3028191. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21177212 by -108047.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30884007673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8906413?\nAnswer: 8906413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -2, 0.1, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 6:05 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*b, 3*b + 9824 = -5*v + 49816. Calculate the least common multiple of 8 and v.\nAnswer: 15992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 3*s - 2*s + 2 + 5*s**2. Let x be (-3)\/2*(-8)\/6. Calculate the remainder when p(x) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:25 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 44 = q + 55, -2*z = 3*q + 11. Which is the fourth smallest value? (a) 42\/13 (b) 4\/7 (c) -0.2 (d) 3\/5 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/9 - 2545480*h\/9 + 1619867107600\/9 = 0. Calculate h.\nAnswer: 1272740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 39*t - 165 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2 - 467*l + 288. Give w(-59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30923 divided by 17?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 166\/(-21) - -4 - -4. What is the smallest value in i, 13, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j + 5. Suppose -2*q + j*k = -2, q = -5*k + 8 + 23. What is the first derivative of -q*n**4 + 2*n**4 - 2 + 3*n**4 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 519\/14 + -277\/7. Put -5, -0.2, v in decreasing order.\nAnswer: -0.2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1283*w**2 - 21*w - 1261*w**2 + 2543*w**2 - 85. What is t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:04 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*a = 114 + 61, 0 = y + 4*a - 28. Suppose -3*g = -y - 32. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1394 + -1394.2. Let s = 1 + -2. Which is the fourth smallest value? (a) v (b) 4\/3 (c) s (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413414 (base 5) in base 2?\nAnswer: -11010100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 7*a**2 + 9 + 9*a**2 - 59*a**3.\nAnswer: -59*a**3 - 2*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 5. Let h = z - -3. Suppose k + 51 = h*j, -j - 2*k = -6 - 18. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y - 25. Let q be d(17). Suppose -b + 78 = 5*j, 5*b - 98 = j + q. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 + 2 = 4*c, 2*y + 3*c = 9. Let f be (-8)\/(-2) + 4 - y. Let -24*z - f - 204*z**2 + 189*z**2 - 4 - 3*z**3 = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85742884?\nAnswer: 2, 4027, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 576*f + 6894. Give t(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 157, 249, 361, 499?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 89?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 10*m**2 + 13*m + 21. Determine r(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 824 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -423 + 339. Let n = 199 + b. Calculate the greatest common divisor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3574599, 3574607, 3574615, 3574623, 3574631?\n\"Answer: 8*l + 3574591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 15856.\nAnswer: -6342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 27\/((-135)\/(-280)) + 3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15118.\nAnswer: 2, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/167692 and -35\/1243.\nAnswer: 1844612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33817, 31357, 28901, 26449?\n\"Answer: 2*y**2 - 2466*y + 36281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.02 (c) -3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l**3 - 13*l**2 - 4*l + 3. Let h be a(1). Let n = -169 + 239. Suppose h*x - n = 5. What is the highest common factor of x and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - 0\/5. Let z = 5 + -4.9. Put 0.3, p, z in increasing order.\nAnswer: z, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -13. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3156 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t - 224. Give z(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4574064 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.02607.\nAnswer: 0.010428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 12*j - 46 = 0. Calculate the remainder when j is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2034.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 + 35380*n - 141584 = 0. What is n?\nAnswer: -8849, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*m - 785 + 829 - 404)*(-3*m - m + 2*m).\nAnswer: 64*m**2 + 720*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -13 + 3 - -14\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 60 = 54, 2*l - 1 = 3*l - 8*k + 14*k + 5 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g - 598 = -246*g + 8041 + 1985 for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.3. Let g = -0.77 + 1.17. Let w = g + o. Which is the second smallest value? (a) w (b) 2\/7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttuu when four letters picked without replacement from utuututtttuutttuuu?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.131 and 8342?\nAnswer: 8341.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2361*r**3 + 10*r**2 - 5*r + 1262. Let m(d) = 2*d**2 - d + 1. Let h(v) = -5*m(v) + y(v). What is the derivative of h(n) wrt n?\nAnswer: 7083*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1034166 - -224?\nAnswer: -1033642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**7\/2520 - k**6\/144 - 7*k**5\/120 + k**4\/24 + 9*k**2. Let n(a) be the second derivative of r(a). Calculate n(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66417\/(-786) - 120\/(-16)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18076, -36123, -54170, -72217, -90264?\nAnswer: -108311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 27. Let f be a(-8). Suppose 71*n = 74*n - f. Calculate the remainder when 52 is divided by 2 + (-4 - -1)\/3 + n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:45 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:34 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 0*y**3 + 2*y**3)*(-40 + 40 - 4393*y - 533*y + 767*y).\nAnswer: -12477*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 - 10097*j**2 + 1401626*j + 21604520 = 0. Calculate j.\nAnswer: -14, 155, 9956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16\/(f\/f**(1\/9))*(f*(f**9*f)\/f)\/f*f\/f**(-1) assuming f is positive.\nAnswer: f**(235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x**2 - 12*x**2 + 7*x**2 + 24*x**2 + 4*x - 4*x + (-x + 0*x + 2*x)*(-x + 2*x + x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5, 3, 8, 6, 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3, 3*h + 11 + 18 = 5*l. Put h, -1, 24, -4 in descending order.\nAnswer: 24, -1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.24 + 0.84. What is the closest to -2 in j, 2\/5, 1\/17, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8495 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1054705*j*q**3 - 443*j*q**2 - 691*j wrt q.\nAnswer: -6328230*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -130274, -260661, -391158, -521819, -652698, -783849, -915326, -1047183?\n\"Answer: -9*g**3 - g**2 - 130321*g + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*k**4 + 792*k + 693*k**3 - 339*k**3 - 4 - 351*k**3 + 4 wrt k.\nAnswer: 1668*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -128, -191, -252, -311, -368?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -39, -147, -363, -723, -1263, -2019?\nAnswer: -3027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**13))\/(u*u**(-6)))\/(u**(1\/3)*(u**(1\/2)\/u)\/u) assuming u is positive.\nAnswer: u**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136810 is divided by 68368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r - 1. Let g(m) = 14*m - 1. Determine 3*g(s) - 7*l(s).\nAnswer: -7*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2055, 4003, 5929, 7821, 9667, 11455?\n\"Answer: -2*k**3 + k**2 + 1959*k + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2724 by 24220.\nAnswer: -681\/6055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3624\/(-1510))\/((-6)\/70). Let n(x) = 3*x - 88. Determine n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010110011110111 (base 2) to base 9\nAnswer: -626207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 186*y**2 + 1001*y - 17535. Determine k(181).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 34*l + 4427. Is w(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8452 - 8455. Let k = -2 + 4. Let z = 4 - k. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*y - 3*i, i + 3*i = -16. Let m(c) = -c**3 + 4*c**2 + 11*c. Let h be m(5). Calculate the greatest common factor of h and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 6*l**2 + 26 - 5*l**2 - 2*l**2 + 11*l. Let x(y) = y**2 - 4*y - 9. Let n(v) = -4*g(v) - 11*x(v). Let m(a) = -4*a**2 - 6. Give 5*m(k) - 6*n(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from quuuqdqqdduqq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2827 - -26158?\nAnswer: 23231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.1 (c) -0.5 (d) 189 (e) 4 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180, 845, 2344, 4995, 9116, 15025?\n\"Answer: 53*m**3 + 99*m**2 - 3*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 6*y - 31 + 34)*(309*y**3 + 525*y**3 + 113*y**3) - y**4 + 0*y**4 + 2*y**4.\nAnswer: 6630*y**4 + 2841*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:18 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 8*k**2 - k. Let w be u(-8). Let g(d) = -d**3 + 6*d**2 + d - 1. Let c be g(6). Solve 5*s + v = 4, 2 + w = 5*s - c*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 11\/2, -16, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*g*v**6 + 5*g*v**3 + 2*g*v**2 + 213*v**2 wrt v.\nAnswer: -6840*g*v**3 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -268 + 267.7. Which is the second biggest value? (a) 2\/15 (b) 1 (c) -0.04 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 26979711.\nAnswer: 26979711.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701800071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 4\/105*q**7 + 0*q**3 + 0*q**4 + 1\/15*q**6 - 2*q + 0*q**5 + 9*q**2 + 1\/168*q**8 + 0. Factor f(y).\nAnswer: 2*y**3*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 - 5 - -3 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15))**46\/((g**(-1\/32)*g*g)\/g*g)**(-32) assuming g is positive.\nAnswer: g**(-627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 604 and 10146898?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 equal to 109\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 779, 780, 781, 782?\n\"Answer: o + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 7, w: 2, v: 4, p: 1, s: 3}. What is prob of sequence dqpd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(33\/2 + 1). Suppose 8 = 42*a - 38*a. Let l = 450 + -455. Sort a, l, r in decreasing order.\nAnswer: a, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2298 + 2297.8. Which is smaller: 5.82 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -253 + 0?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -0.1 (c) -226.3 (d) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2\/339 (c) 114 (d) -1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-30))\/((-1)\/20). Suppose 3*g - 34 = -5*y, 5*y = -3*g + 3*y + 46. Solve 0 = -3*j + 5*q + 16, -o + g = -5*j + q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (41 + -6 - (-45 - -75)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {j: 1, t: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/10)\/((-9)\/120). Suppose -2*d - d + 6 = 0, 0 = 3*k + 3*d - 246. Calculate the highest common factor of k and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294676?\nAnswer: 2, 29, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riqinqnrrqriiiqqr. Give prob of sequence ir.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1817*t**4*w**2 - t**4*w + t**2*w**2 - t**2 - 1695*t*w**2 - 2 wrt t?\nAnswer: -43608*t*w**2 - 24*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - p - 404 = -84, -75 = -c - 2*p. Let n = c + -8. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -826486 divided by -2\nAnswer: 413243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 21*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*i = -74757 - 13479. Calculate the remainder when i is divided by 85.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**8\/6720 + z**7\/840 + z**5\/40 - z**4\/8 - 7*z**2. Let n(a) be the second derivative of y(a). Calculate n(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from ttatu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goy when three letters picked without replacement from ogyggoyyeqo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 64*w**2. Let b(o) = -5*o**2. Determine b(i(m)).\nAnswer: -20480*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 11*f + 187 + 239 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let z be (4 - 2)\/8*20. Sort q, 4, 1, z in increasing order.\nAnswer: 1, q, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 0.47. Let i = 13 - 63\/5. Which is the third biggest value? (a) i (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2093b (base 12) in base 2?\nAnswer: -1010011100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 11\/433438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/13588 and 75\/602.\nAnswer: 95116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-130)\/(-52))\/((-2)\/(-4)). Let h(w) be the second derivative of 0 - 1\/4*w**3 + 1\/4*w**4 - 3\/40*w**5 + 0*w**2 - r*w. Factor h(s).\nAnswer: -3*s*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38 (b) 1\/3 (c) 90\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3812247 + 5?\nAnswer: -3812242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:21 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10010)\/(-1155))\/(((-25)\/(-5))\/15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1086639 (base 11) to base 2.\nAnswer: 111001111001111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*b + 1225 + 1415 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1254 = 5*a + 6069, -4*a - 2892 = -3*p. Calculate the smallest common multiple of 1536 and p.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3708.0000637 + 3708. Round t to six dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-2 + -2) - -3. Suppose 3*s - 52 = m. Suppose s*o + 366 = 26*o. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 12*j**2 + 7*j - 10. Let d be s(8). Let h = -143 - d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515710067.534 minus -54?\nAnswer: 1515710121.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) 1 (c) 5 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85960 and 7368?\nAnswer: 257880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 186. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -1. Suppose 22 = 2*d - 4*j - 106, -4*j = 5*d - 292. Suppose -p = -y*p + d. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1095? (a) 118966 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355020400.\nAnswer: 2, 5, 7, 103, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) -1\/28 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1e33 (base 15) in base 16?\nAnswer: -95eb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n - 36*n + 495 = 30*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 24*w = -2. Solve -w*x = -3*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459\/4 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0734919624 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeffefe. Give prob of sequence ff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 32*p**2 + 73*p - 26. Is v(30) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/8)\/(-13))\/(-1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202071066 divided by 67357022.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x**3\/3 + 15*x**2 - 235*x\/3 - 10 = 0. What is x?\nAnswer: -3, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11811290955 + 23622581914 + 31*s**2 - 11811290959.\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/53 (b) 14680 (c) 3 (d) -6 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 213203208.\nAnswer: 1\/106601604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (744\/(-12))\/(2\/(-6)*2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2113796259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -151*s**6\/30 - 125*s**2\/2 + 88*s - 222. Let y(v) be the first derivative of k(v). Differentiate y(b) wrt b.\nAnswer: -604*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122201 - 102?\nAnswer: -200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 8:54 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39 - 1)\/4)\/(-2). Suppose -3 = -r*w + 617. Suppose 0 = -4*g + b + w, 2*b + 3*b = -g + 10. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2027353, 2027359, 2027369, 2027383, 2027401?\n\"Answer: 2*k**2 + 2027351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 + 0 - p + 0. Let c be f(-2). Differentiate 1 + 1 + 0*s**3 - s**c with respect to s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -17. Let j(p) = -3*p**2 + 87*p - 277. Let g be j(4). Suppose -1 - g = -y*c. Solve -2*r = -2*h - 6, r - 4*h - 24 = c*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -180546, -361066, -541586, -722106?\n\"Answer: -180520*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-1\/4)*t)\/t)\/t)**(1\/15)\/(t**(-1\/4)\/(t*t**(-1\/3)))*(t\/t**(-2\/7))\/t**6*((t\/(t**1\/t*t))\/t*t)\/t*t\/(t*t**0) assuming t is positive.\nAnswer: t**(-337\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 51, 71, 79, 69?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4992 + -0.5992. Which is bigger: a or 370\/23?\nAnswer: 370\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/4*(-13)\/26.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87156*y**3 + 34*y**2 - 404*y wrt y.\nAnswer: -522936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r. Suppose 5*p - p = r. Suppose 0 = -0*d - 3*d - 15, -2*k - 5*d - 7 = p. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 10*k**2 + 3*k - 15. Let t be o(-9). Let f = 65\/2 - t. What is the closest to 1 in f, 0.1, 0, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 32413.33196594.\nAnswer: 32421.33196594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 312?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:56 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495 less than -351?\nAnswer: -3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/6 + 68*p**3\/3 + 140*p**2 - 16*p - 19. Factor h(w).\nAnswer: -2*(w - 70)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 86.55?\nAnswer: 173.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -76, 4, 0, -13, -0.508?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - 4*m)*(-3*m + 2*m - m)*(-2*m - 6*m + 3*m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 5*s - 4. Let b be g(3). Suppose -2*t = b*t - 56. Solve 3*k + 3*r = 0, k - 5*r - t = 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3570 - 3569.6. Which is the nearest to -2\/21? (a) 72 (b) z (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/120330 and -103\/11460?\nAnswer: 240660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**3 - 23*r**2 - 46*r + 42. Let w(b) = -3*b**3 - 11*b**2 - 23*b + 17. Let p(m) = 2*o(m) - 5*w(m). Determine p(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*o + 224 = -613. Let h be ((-6)\/15)\/((-2)\/10). Let f = h + -3. Put o, 4, 0, f in increasing order.\nAnswer: f, 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + h - 2. Suppose -r = 1 - 15. Let p = 19 - r. Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55144 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 69 = -4*q, z - 219*q - 1 = -218*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.3, 1\/86?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 160, 243, 328?\n\"Answer: n**2 + 78*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/10*(-12)\/(-45)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1149102, -1149170, -1149232, -1149288, -1149338, -1149382, -1149420?\n\"Answer: 3*z**2 - 77*z - 1149028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 + d - 1. Let j(o) = 5*o**3 - 6*o**2 - 6*o + 5. Let s = 3754 - 3760. Give s*l(w) - j(w).\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/((-1239)\/(-144)))\/(2\/((-56)\/(-44)))?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2*sqrt(1053) - (sqrt(1053) + sqrt(1053) + 1*sqrt(1053) + 5)) + -1)**2 + ((sqrt(91)*-1*-2)\/sqrt(7) + -3)**2 + 4.\nAnswer: 114*sqrt(13) + 1167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8.9. Let h = 0.06 + k. Let z = h + 3.84. Sort -2, z, 0 in decreasing order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2387, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s**(2\/7)*(s**(2\/3))**(-8\/5)*(s**(-1))**(-16)*s**6*s**(-1)*s assuming s is positive.\nAnswer: s**(2273\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 11 = -55*p + 53*p, 11*p - 15*p - 38 = -14*v - 8*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 - 2*b - 1 - 4*b**4 - 1 + 4*b as s*b + h*b**4 + t*b**2 + k + g*b**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -35 - ((166 - 61) + -2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 2*h**3)*(0*h - 2*h**2 + 0*h) - 3 - 2*h**5 + 3 + 0*h**5 + 7*h**5 + 2*h**5.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/10)\/((-184)\/97520*-901)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -238. Let o = p + -102. Is 270\/o*10\/3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3\/4 + 16149*n**2\/4 - 385917*n\/4 + 369771\/4 = 0 for n.\nAnswer: 1, 23, 5359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 12*i - 180. What is the remainder when 118 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 319*l**2. Let j(o) = -105753*o. What is w(j(p))?\nAnswer: 3567599345871*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565*h**3 + 22*h**2 + 21?\nAnswer: -3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683*c + 825*c - 732*c.\nAnswer: 1776*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 175882671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3830 by -5.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 548 - -2275. Let q = v + -2824.261. Round q to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/13930 and -167\/155220.\nAnswer: 1086540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**(-1\/7))\/n)\/n*n*n*n**(1\/2)*((n\/n**(-1))\/n)**(-6\/25) assuming n is positive.\nAnswer: n**(841\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**3\/3 + 4*s**2 - 5*s - 7. Suppose -4 = -2*c + 6. What are the prime factors of a(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 12, 302, -4.\nAnswer: -5, -4, 5, 12, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 44*n + 45*n + 8, -29 = 3*b - 5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29660074.\nAnswer: 2, 3583, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 15\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 2059?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 199948390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -133, -2\/4463, -2?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q - s, -9*q - 5*s + 5 = -6*q. Suppose 2*p - 2492 = 2*w, 2*p - q*p = -5*w - 3748. Calculate the highest common divisor of 73 and p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by ((-6)\/(-5))\/((-1263)\/(-61045)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 24 = 0. Suppose 6*x + 36 = i. Let n be x\/(-34) - 1218\/238. Put 1, -1, 5, n in ascending order.\nAnswer: n, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12060 and 3359916?\nAnswer: 16799580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - j - 492, -4*h - h + 615 = 3*j. Suppose 31 = 11*l - h. Calculate the greatest common divisor of 56 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -1134\nAnswer: 11\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxoddxdodododdooooo. Give prob of picking 1 d and 2 x.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 856. Let v = d - 673.9. Put v, 0.037, -0.5 in ascending order.\nAnswer: -0.5, 0.037, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1414? (a) -0.4 (b) -2\/7 (c) -2\/725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -q + 134, 2*q + f - 121 - 133 = 0. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 63 (b) -0.2 (c) -4324 (d) 0 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1748096 and 80?\nAnswer: 8740480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-10))\/(180\/(-450)). Solve 4 = s*x, -6*f + x + 8 = -11*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + o - 2. Let b(w) = -3*w + 10*w**2 - 8 - 1 - 12 + 28. Suppose -5*h + 84 = 14. Calculate h*n(l) + 4*b(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394085247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103156764286 - 1104.6.\nAnswer: -103156765390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 9. Suppose 5*u = 25 - 5. Sort u, 1, l in ascending order.\nAnswer: 1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Suppose q + i*q = 1. Suppose -k + 0 = -q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**3 + z - 7. Let p(a) = -2*a**3 - a**2 - a - 1. Let l(q) = q**3 + q**2 + q + 2. Let w(f) = -l(f) - p(f). Determine t(c) - 4*w(c).\nAnswer: c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/84)\/((-33)\/(-154))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4211 and -0.8.\nAnswer: -4211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -657, -194, 3, -1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 26*k**3 - k**2 + 5*k - 4. Let h be r(2). Calculate the greatest common factor of 54 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(-4)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**7\/840 + g**6\/120 + g**4\/8 + 5*g**3\/3 + 6. Let s(v) be the third derivative of z(v). Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.565365g to nanograms.\nAnswer: 4565365000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 5. Solve 4*o - 2*p - p = l, 5*o - 18 = p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - 6*r**2 + 6*r. Let q(l) = -2*l**3 - 3*l**2 + 3*l. Suppose 5*f = 3*b - 37, 3*f + 26 - 3 = 2*b. Let u(k) = b*t(k) - 7*q(k). Is u(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 2*f + 1. Let w be n(1). What is the second derivative of 12*t**w + 0*t**4 - t - 12*t**3 - 3*t**4 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 36*l = -36. Suppose -8*u + l*u = -8. What is the tens digit of (-300)\/u + -3 - 2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000658565 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 11 + 3. Suppose -8 = -5*o + h. Solve -o*z = z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 104.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/8 - 3\/12. Suppose 8*c = w*c. Which is smaller: -1\/35 or c?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((3 + -2 - 0) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 27126894.\nAnswer: 11\/27126894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482362 is divided by 160776.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/25847680 and 59\/245552960?\nAnswer: 491105920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b*((b\/(b\/((b**5*b)\/b)))\/b)\/b*b*b\/b**0*b**(15\/7) assuming b is positive.\nAnswer: b**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/27 and 3\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, 0.15, 1, 5, -32?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*-1)\/(((-53)\/(-53))\/(2\/2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-5)\/((-3570)\/102)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 + d**2 + 2*d - 20. Let l(o) = o + 1. What is 5*a(p) - 10*l(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 37 = -71. Let j(v) = -74*v**3 + 6*v**2 + 3*v + 8. Let s(b) = -49*b**3 + 4*b**2 + 2*b + 5. Let y(g) = 5*j(g) - 8*s(g). Give y(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-12)\/672)\/(3\/18).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from ffwwfwwfwwffwf?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -3.01. Let u = -0.1 + 0. Let r = -308 + 313. Which is the smallest value? (a) i (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 2. Suppose -3*m + 4 = -d*m. Suppose -2*o + 25 - 5 = 2*s, 4*s - m*o = 72. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2 + 0)*18\/1. Suppose p*k - 148 = 149. Suppose -3*q - 21 + k = 0. Sort q, -2, -7 in decreasing order.\nAnswer: q, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 + 19)*-1*3\/9. Let f(r) be the second derivative of -1\/24*r**4 - 1\/8*r**2 - 1\/160*r**5 - 5\/48*r**3 + 9*r + a. Factor f(w).\nAnswer: -(w + 1)**2*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 137, 138, 139, 140, 141, 142?\n\"Answer: i + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/((g\/((g\/g**5)\/g*g))\/g)*g)\/g)\/(g*(g*g**0*g)\/g)*(g**(2\/3))**47*g*g**(-5)\/g*(g**(-5\/2)\/g)\/g*(g*g**(1\/3))\/(g*g**(-1\/4)) assuming g is positive.\nAnswer: g**(221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, e: 3, w: 6}. Give prob of sequence ewwe.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.194628 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 274?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 8:14 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 3*p + 11*p**2 - 10 + 0*p. Let l(n) = -4*n**2 + n + 3. Let v(t) = 7 - t - 11*t + 0*t + 2*t**2. Let h be v(6). Calculate h*l(k) + 2*d(k).\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 21*z + 6. Determine f(-18).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306005, 612012, 918019, 1224026?\nAnswer: 1530033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000057308 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/40)\/((-7)\/35)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -32. Suppose a = 4*r + r. Let x be -20*r\/(-12)*3. Solve -3*q - x = 5*d - 0*q, 0 = 2*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25988196 divided by 4?\nAnswer: -6497049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1. Let m = 0 - 3. Let x(v) = v**2 + 5. Let r = 52 - 37. Give m*x(w) + r*u(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*z + 5549 = 5*z, -o + 5*z + 1831 = 0. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dudu when four letters picked without replacement from uuuuusuudsd?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 16. Let b = 18 - k. Let s = -13 - -21. What is the lowest common multiple of b and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66.194 and 0.1.\nAnswer: 6.6194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*g = 752*g - 1181*g - 1996 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0.095 (c) -34\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 7*k - 6. Let x(n) = n**2 - 1. Let v(h) = -s(h) + x(h). Determine v(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5183*v = -5353*v + 2890 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 44*t - 130. Let f be k(3). Let r(h) = -17*h + 81. Let l be r(f). Solve 0 = 5*g - 2*x + l - 17, -g = x - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19232 is divided by 6410.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 124*k + 485 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19174 - 157?\nAnswer: -192cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136417 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/6)\/z*z*z*z*z**7\/z*(z**(-1\/5)*z)\/z**(5\/4))\/((z\/(z\/z**1)*z)**(-38)*(z\/(z**3*z))\/z**(-5)) assuming z is positive.\nAnswer: z**(4963\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 276 + -1 + 0 + 12\/(-3). Let l = 447 - d. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.378 (b) -2\/27 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 23 = h, 5*h - 2*n - 138 = -17. Let t = h - 17. Solve 3*u - 3 = -4*j - 2, -5*j = -3*u - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 22. Which is smaller: t or 8\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 6*q**3 + 2*q**3 + (q**2 - 3*q**2 + 0*q**2)*(0*q + 3*q - 4*q) - 176 - 5*q**3 + 170 - 5*q**3.\nAnswer: -13*q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88229 is divided by 107.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123222*o**3 + 8490*o?\nAnswer: -739332*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 8*t - 3. Let b be n(6). Suppose -3*a + 2*c = 3*c - 6, 2*c + b = 5*a. Suppose -42 = -3*g + a*s, -g = s - 17 + 3. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:14 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 - -454. Let t = 679.00286 - u. Round t to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**3*x**3 - 2*j**3 + 31*j**2 + 11*j*x**2 + 2*j - 2*x**3 + 42*x wrt j?\nAnswer: -48*j*x**3 - 12*j + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert b89939 (base 15) to base 13.\nAnswer: 1a8a235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 3*k**2 + 3*k + 5. Let h be m(-2). Suppose h*l + 4 = 17*l. Let t(u) = 6*u**2 - 2*u - 2. Is 16 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 293, 667, 1191?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97583 - 56583. Round s to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20*x. Let j be v(2). Is (0 + 2 - 5)\/((-15)\/j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y. Let r be (-275)\/44 + 2\/8. Let l be (-6)\/45*r*(-15)\/(-2). Let t(a) = 4*a. Let k(s) = l*c(s) + 14*t(s). Let p(w) = w**2. Give k(p(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -14.17. Sort 2, 4, c in increasing order.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -6. Let l = 3 + 1. Let i = l + f. Which is the nearest to i? (a) 4\/5 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 58, 8, -94, -266, -526?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102210002 - -22?\nAnswer: -2102202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2653 + -2649. What is the remainder when 40 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -7\/71 (b) 9 (c) 5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = -15. Suppose -5*x = m*i - 19 - 118, -3*x = -3*i - 78. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98688753, 98688752, 98688751, 98688750?\n\"Answer: -g + 98688754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.003, -2\/7, 0.172 in decreasing order.\nAnswer: 0.172, -0.003, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (2 - 4) - (-22)\/(-2). Find the common denominator of k\/(-270)*(-114)\/(-8) and (5\/54)\/((-2)\/(-102)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-8))\/(2502\/1112)*-9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 937498, 937499, 937500?\n\"Answer: i + 937497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89280 - 52847. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**3 - 427*w + 9413. Let i(y) = -9*y**3 - 427*y + 9410. Let a(f) = -3*i(f) + 2*u(f). What is the first derivative of a(l) wrt l?\nAnswer: 21*l**2 + 427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 17. Let d(h) = h + 1. Let q(a) = 3*d(a) + o(a). Let x be q(6). Does 13 divide 5\/(-20) + (-242)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 18*g + 744. Let z be a(-39). Suppose z = 2*m + 38. Let 0 + 2\/3*n - 4\/5*n**m + 2\/15*n**3 = 0. What is n?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 + 289*c**5 + 72*c - 101*c + 10*c wrt c?\nAnswer: 5780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16121327 is divided by 1369.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 5*u - 4. Let q be o(5). Let b be (-1)\/((-4)\/q)*31. Let s = 61 + b. Calculate the highest common divisor of 240 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6903, -13805, -20707?\n\"Answer: -6902*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2646231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 divided by -4?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 57943411.1 and -15.\nAnswer: 57943396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -61*m + 4. Let v(s) = -12*s + 5. Let w(y) = -7*y + 3. Let k(z) = 6*v(z) - 10*w(z). Give p(k(i)).\nAnswer: 122*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(5103) + sqrt(5103) + 2*sqrt(5103))\/sqrt(9)*5 + -1 + sqrt(847) + 2 + 4).\nAnswer: -955*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i + 1 + 213*i + 537*i - 1 as w + c*i and give c.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 2720.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253 (base 6) in base 8?\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/2 + 4225653*n\/2 + 88736067 = 0. Calculate n.\nAnswer: -1408509, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yerm when four letters picked without replacement from {e: 1, m: 4, y: 2, r: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027022*f - 1027022*f + 23 + 2*f**3.\nAnswer: 2*f**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -4 (c) 0.045 (d) 81 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(((t*t*t\/t**(-1\/11))\/t)\/t)*(t*t\/t**(-7\/5))\/t assuming t is positive.\nAnswer: t**(127\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 931*c*f**2 - 15*c*f + 66718*c + f wrt f.\nAnswer: 1862*c*f - 15*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4033 + 3971. Is j less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-9)\/3)\/(1*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 2. What is the units digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1437590 to the nearest 10000.\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4304 - 3. Let q = b + -508. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(4*t**2 - 2*t**2 - 3*t**2) + (1 + 2*t - 1)*(-35 - 12*t + 35) + (2*t + 0 + 0)*(-20 + 20 + 8*t) in the form v + c*t**2 + g*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7663\/3 - -2577. Let q = t - 23. Which is the second smallest value? (a) -3 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/16 - 2)\/((-7360)\/(-35328))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 120627.\nAnswer: -2\/120627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -c + 3 + 1, -r = -5*c + 20. Solve t = 2*f - 6*f - c, t - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gevv. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 + 233*m - 236*m - 31)*(1 - 1 - 3*m**4).\nAnswer: 9*m**5 - 372*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -165, -167, -169, -171, -173?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -278426331 less than -125?\nAnswer: 278426206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3492 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 + w - 1. Let d(p) = 5*p**3 + p**2 + p - 4. Let j(l) = -d(l) + 4*h(l). What is the remainder when (16\/(-5))\/((-2)\/10) is divided by j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286433491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 242.54633 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676736055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -139, -144, -163, -202, -267, -364?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = -4*w + 16, -4*l = 3*w - 11. Suppose 2*h - w = -h. Suppose -32 = -h*f - f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1267656448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18890677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a564c1 - 4?\nAnswer: -1a564c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58936\/(-42) + 9 - 4\/12. Suppose 4*d + 662 + 727 = z, 4*d = 2*z - 2790. Let o = z + k. What is the common denominator of o and -93\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a**(-3\/4))\/(a**2*a*a**(-5)*a*a)*(a*(a*a**0\/a)\/a)**(-4)*(a**(-2\/5)\/a)**3 assuming a is positive.\nAnswer: a**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 97 = 5*g - 7*c, 4*g - 4*c = 68. What is the lowest common multiple of g and 532?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10072, -10206, -10340?\nAnswer: -10474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3418 - 11668. Suppose -2*z - t = -5*z. What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 7*s**6\/30 + s**4\/6 + 4*s. Find the third derivative of p(n) wrt n.\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*m - 2*q, 3*m + q - 16 = 2*q. Suppose -p = -4*p - 2*z + 14, m*z + 65 = 5*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, -1380, -6316, -16384, -33294?\nAnswer: -58756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35225249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 118*c - 93*c. Solve t + c = o, 0 = -277*t + 275*t - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 - 2786355*b**2\/2 - 323491287672*b - 323489894496.\nAnswer: -3*(b + 1)*(b + 464392)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -61.27. Let p = x - -0.27. Which is the closest to -2? (a) p (b) 0.5 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c - 60*c = -45. What are the prime factors of -10*c\/18 + 43 + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -44. Suppose 64 = h*d + 2*d. Solve y + d*s - 8 = -3*y, -3*y + 9 = 2*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*n**3 + 193*n**3 + 188*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*v**6 + 189*v**2?\nAnswer: 10320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.080762723 and -5.\nAnswer: -5.080762723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -561 + -118a?\nAnswer: -1740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -451.6764 + -0.1236. What is s rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + 162\/36. Suppose 0 = -4*v + 4*b + 36, 3*b = 3*v + 8*b - 3. What is the hundreds digit of (v\/a)\/((-12)\/(-16)) - -123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 - -1.23. Let i = g - -0.05. Let b = -47\/7 + 7. Are i and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.501258 years to decades.\nAnswer: 0.0501258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9255 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: In base 5, what is -42111 - -103421?\nAnswer: 11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21714, 87260, 196484, 349380, 545942, 786164?\nAnswer: 1070040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100110101 (base 2) in base 6?\nAnswer: 12313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w + 2429 = 2737. Solve w*r + 92 = 34*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 1, b: 2, u: 1, e: 1, i: 2}. What is prob of picking 1 b, 1 e, and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 + (1 - 5 + 2)*(3 - 1 + 0) + 0 - 1 + 3)*(-6 + 3*v + 4 + 0*v).\nAnswer: -12*v + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {t: 3, x: 5, j: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) + (-8)\/3. Let x be (2\/p)\/((-1)\/(-65) - 0). Find the common denominator of (-4)\/(-14) - x\/630 and -131\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.04, 0.1 in increasing order.\nAnswer: -0.04, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063893213 to the power of 1\/2, to the nearest integer?\nAnswer: 32617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3630 and 95280.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -51)\/((-2)\/(-8)*(-104)\/338). What is the greatest common factor of b and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 6. Let a(n) = -173 + 85 + n + 87. Let i = 3 + 3. Let g(x) = i*a(x) + c(x). Let s(y) = -3*y. Calculate s(g(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*c**2 + 21*c**3 + 15 + 777*c**2 - 259*c**2 - 262*c**2.\nAnswer: 21*c**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 != -137814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271 and 2981?\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + -13 + 8 - (1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345 - 20357\/59. Which is smaller: h or 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - z - z - z + 3*z - 2 - 2*z + 2 + (3 - 5 + 0)*(4 - 4 + z) + z + z + 0*z)*(7 + 7 - 7).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 6*x - x. Let y = x + -78. Let f = y + 18. Are f and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -3*q**2\/2 + 2*q - 22. Let u be (2 + (2 - 5))*-4. Calculate l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*s - 38 = -4*o, -4*o + 124 = -2*s. Suppose -16 = -f - o. Let t = f + 34. Solve -t = -u + 6*u - 5*z, 4*u = -3*z + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-25))\/(14248\/685*(-1)\/(-8))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14 = y, -4*o + 10 = -5*o + 3*y. Let x(g) = 9*g - 3. List the prime factors of x(o).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1670 by 5.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -66079 + 13.78\nAnswer: -66065.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 20.3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174691613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8126050 to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 52 = 4*y. What is the remainder when 240 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -292, -274, -236, -172, -76, 58?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*g - 3, -2*j + 4*g - 2 = -0. Let i = j - -11. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8656, 5, -0.5, 2\/13, -1 in decreasing order.\nAnswer: 6, 5, 2\/13, -0.5, -1, -8656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/113, -4, -1\/14, -2\/9 in descending order.\nAnswer: 2\/113, -1\/14, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 3:21 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0) + 2*1. Suppose 0 = -f - a + 7. Solve f*u + 0*u - 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 3772.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109829819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjwvrvo. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3 + g)*(-3*g**2 - 2*g**2 - 3*g**2) in the form c*g**3 + l + b*g**2 + q*g and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30950097250*x - 19*x**3 - 30950097250*x.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvvwvvw. Give prob of picking 3 v.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 131*x - 432 - 155*x - 496*x + 433 + 6*x**2 to the form l + h*x**2 + c*x**3 + q*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(320) + sqrt(320)))\/(sqrt(490)*-1 - sqrt(490))*4*1.\nAnswer: 48*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 957963 = 957966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j - 3*w + 272, -4*w = j - 126. Suppose 83 = 5*r - j. What is the highest common factor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -516 + 11 + r**2 + 2*r - 3*r**2 - 395 to k + s*r + n*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 - -79. Let j be (-3)\/(-2)*6520\/u. What is j rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 13, 0.\nAnswer: 0, 5, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4 + w - 44 + 5. Let d be c(11). Let y be -33 + (4\/(-10))\/(12\/(-30)). Is y less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11092132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*b = 2*b + 17, 5*f - 3*b - 19 = 0. Suppose 4*j - f*j + d = -15, 0 = -4*j - 5*d + 24. Calculate the smallest common multiple of 4 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26335.\nAnswer: 5, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*g + 69125 - 34566 - 34559 - 101*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and -21\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330169 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:50 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wewssshshswhwwswhwws. Give prob of sequence hewh.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12657967499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 18, -1, -126 in ascending order.\nAnswer: -126, -1, 3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12096847.\nAnswer: 7, 1728121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1125417 and -0.097.\nAnswer: 109165.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 348307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -3, 7.\nAnswer: -8, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-17 - -37) + 0 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(1\/28))**18*((r\/r**1)\/r*r*r\/(r*r**(1\/4)))\/(r*r\/(r*r**(-1\/5))*r**(-2)) assuming r is positive.\nAnswer: r**(113\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/13)\/a*a*a\/a**(-6\/7)*(a**(-3)\/a)**(-24))**(-33) assuming a is positive.\nAnswer: a**(-294789\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 3*u. Which is the second smallest value? (a) 2 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4769800 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/39 and -23\/3601351?\nAnswer: 10804053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 123?\nAnswer: 7\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000353009876 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 449 (b) -1\/4 (c) -5\/3 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-202)\/8)\/((-31)\/(-7068))*(-2)\/3. Calculate the greatest common divisor of 38 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15304 by -5639.\nAnswer: 15304\/5639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a - 3*a**3 - 2*a**2 + 0*a**2 + 4*a + 2*a = 0. What is a?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 5:16 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/56*-2)\/((-240)\/(-2160))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3097*n**3 + 6191*n**3 - 3096*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.6, 0, -5\/2?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28633.\nAnswer: 11, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 1744\nAnswer: 2092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 8*w + 35. What is the remainder when 153 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7200)\/(-340))\/(-40)*(-2)\/6\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -22 + 4. What is the first derivative of -5501 + 5559 + 8*s + s**2 + i*s wrt s?\nAnswer: 2*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107\/4 + -27. Suppose -2*q = 5*a - 7, 3*q - 3*a = -4*a + 4. Suppose 0 = -n - 0*n - q. Is n less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 5*l - 41 = 10*t + 6*t, 2*t + 13*l = -5 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 + 4*j - 41. What is i(9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 4. Let y = 0 - u. Let h = 1\/123 - 257\/1353. Which is the biggest value? (a) y (b) -4\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -0.2, 5, -0.1, 4, -19, -37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 3*h + 48. Calculate b(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 4. Let q be s(-9). Suppose 5*w + 3*g + 22 = -0*g, -q*g = 20. Let c = w - -12. Solve f - 10 = -2*f - 5*y, -f = 5*y - c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*d - 2\/3*d**3 - 4\/3*d**2 + 0 + 1\/3*d**4.\nAnswer: d*(d - 2)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b, -b + 23 + 8 = 5*n. Let r = 6 - n. Let l(m) = -m + 0*m + r*m. Let q(k) = -2*k**2. Determine q(l(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(8) + 2 + -1.\nAnswer: sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34320 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1512.9 + 1482.5. Let v = -0.066 + -29.934. Let y = b - v. What is the smallest value in 0, y, 2\/49, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(2*(-6)\/108). Let u be (-1 + 5\/k)*68\/(-102). Which is the second smallest value? (a) -3 (b) u (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3*y**6\/10 - 17*y**2\/2 - 26*y + 19. Let g(u) be the first derivative of z(u). Differentiate g(d) wrt d.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.7037034 to the nearest integer.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + q**2 - 4 + (-4*q + 0*q + 2*q)*(-q - 2 + 2) - q**2 + 3*q**2 - 3*q**2 + (3 - 3 - 5*q)*(150*q - 79*q - 94*q).\nAnswer: 117*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 366\/(-21)*61\/((-2989)\/(-343)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1*(-10)\/4. Let p be ((-4)\/(-36))\/((-1)\/3). What is the nearest to p in 3, o, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x + 7. Let o be y(5). Suppose o*i - 4*f - 270 = 0, -2*f + 7 - 571 = -4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(1\/3)\/h*h*h)\/h)\/(h*h*(h\/h**(-3))\/h))\/(h**(2\/9))**(-26) assuming h is positive.\nAnswer: h**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 5371, 18328, 43605, 85306, 147535, 234396, 349993?\nAnswer: 498430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3 - -1)\/(4004\/2772). Sort t, -0.4, 35, 3\/7 in decreasing order.\nAnswer: 35, t, 3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p + 1069. List the prime factors of k(44).\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let w(o) = -o**j + 3*o**2 + 4*o**2. Let h(z) = -z**2. What is h(w(r))?\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1076399 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/5 - 0. Let r = 5 - 2. What is the third smallest value in 2, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1334084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 181, 254, 309, 340, 341, 306?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 6 - 3*j**2 - 7 + 5*j**2 - 2*j**2 - 5*j**2 + (0 - j + 0)*(-1 + 2*j + 1).\nAnswer: -5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 0, 0*o + 3*o = -2*k + 14. Let w(x) = x**3 + 2*x**2 - 15*x + 9. Let p be w(k). What is the hundreds digit of (-2 + -2)\/((-10)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/6)*h*h\/(h*h**(-1)\/h))**(-50) assuming h is positive.\nAnswer: h**(-325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -0.5, -27304 in decreasing order.\nAnswer: 58, -0.5, -27304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 67. What is n(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ffmffyfffyymfyfy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 45. Solve -3*a + r = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**22)\/(c\/(c*c\/(c*c**(4\/13)))))\/(c**(-2\/13))**(-15))**(5\/9) assuming c is positive.\nAnswer: c**(1390\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1002 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 - -154. Let y = 352.414 - z. Round y to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 1\/30*s**5 - 1\/2*s**3 + 0*s + 0 + 0*s**4 + s**2. What is the first derivative of m(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1739\/3 in 4, 2, -6\/5, -1\/959?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:05 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 1, h: 1, r: 3}. What is prob of picking 3 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008594 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38902 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 2. Let u be j(4). Let d = u - 14. What is the tens digit of 50\/2 - d\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 5 (c) -0.1 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 9. Let h be l(2). Which is the nearest to h? (a) -1 (b) 1 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2 - 2 + 1)*((-3 + 3 + j)*(-2*j**3 - 4*j**3 + 5*j**3) - 14*j**4 - 53 + 53).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269847, 269850, 269853, 269856, 269859, 269862?\nAnswer: 269865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**(1\/4)*i)\/i*i*i)\/i)*i*i)**(1\/33)*(i*i**3*i)\/((i**(-3)\/i)\/i*i) assuming i is positive.\nAnswer: i**(1195\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 535 = -7*t. Let g = t + 5. What is the greatest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*z = -5*s - 4240, 4*z - 1680 = 2*s. Let w = s + 1199. List the prime factors of w.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 + 2. Let h be u(4). Let z(x) = -2*x + 1. Let i be z(-4). Let k(w) = -w - i + 3 + h*w. What is k(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 16*v + 16. Suppose -315 + 105 = -15*l. What is j(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*(-62)\/(-16337)*(6\/(-4) - -2).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a factor of 45533475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*i = -43, 2*i + 15 = -i. Find y such that 3*y + 12*y**2 - 22*y**2 + k*y**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*x = -1179, -d = -4*x - x - 301. Let j be (-5)\/(25\/(-30)) - (4 + -6). Calculate the highest common divisor of j and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 4, -12, -44, -98, -180, -296, -452?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -12 + 8 - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-4)\/42). Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3789639 is divided by 421070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27*-1954.7\nAnswer: 52776.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9885717\/100 + -98858. Let w = -3864\/223 - -76311\/4906. What is the common denominator of w and t?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**7\/280 + 10*a**4 + 2*a - 1. Let k(x) be the third derivative of w(x). Let j(g) = 4*g**2. Calculate j(k(y)).\nAnswer: 324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121\/250 + -2\/125. What is the closest to 1 in 1.1, s, -3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -574? (a) 179 (b) -7 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1051\/2 less than or equal to -527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17843 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: b\"What is the th term of -957, -7502, -18405, -33660, -53261, -77202, -105477?\n\"Answer: b**3 - 2185*b**2 + 3*b + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m. Let b(c) = -1 - c**2 + 8*c + 1. Let s = 89 - 82. Let a be b(s). Let i(d) = -13*d + 1. Give a*z(p) + 2*i(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8638 - -120?\nAnswer: 8758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/6*6 + -2*1. Suppose q + m = 6. Which is greater: -2\/25 or q?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 16 = 4*o. Let s be -1 + -3 - -5 - -2. Solve -5*c + o = -h - c, 4*h = s*c - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -12, -1217 + 357 = -4*o - 2*d. Let r = o - 192. Which is smaller: 83\/4 or r?\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/273388 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a5a3 (base 12) to base 9.\nAnswer: 477566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b - 38. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 299*x**2. Let o(s) = -16*s. What is d(o(j))?\nAnswer: 76544*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2608 smaller than -2567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 71*a - 68*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -64 + 1\/6 + 9\/(-54). Let f be (3 - 15)\/3 - -5. Let r be (f\/4)\/((-4)\/c). Solve -i = r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 37*l**2 + 1. Let j be f(1). Let r = j - 18. Suppose -4*c - 6*a = -a - 92, r = 5*a. Calculate the highest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*c - 76. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19798, -40143, -60996, -82351, -104202, -126543, -149368?\n\"Answer: v**3 - 260*v**2 - 19572*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let v(y) = -3507*y. Give o(v(m)).\nAnswer: -12299049*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 - 41*w**3 + 12*w**3.\nAnswer: -46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 70. Suppose 479 = t*n - 546. What is the units digit of -4*((-8)\/(-40))\/((-2)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16 (b) 0.4 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - (-11396)\/132)\/(1\/(-75))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {v: 1, w: 2, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.2, -2\/7, 18, 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4049003 and 27559.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/4 + 183*g**3\/4 + 540*g**2 - 10125*g - 162000 = 0. What is g?\nAnswer: -30, -16, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1)\/x)\/x)\/x)**(-5\/4) assuming x is positive.\nAnswer: x**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 70?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from mdymmbbybyb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 + -4)*(-22)\/(-22))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Suppose 0 = -k - 2*z + 24, h = -2*z + 6. What is the highest common factor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20273*u + 1486416 + 642249 = 0 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k - 167. Let g(f) = 22*f + 168. Let v(m) = 2*g(m) + 3*u(m). Let t be v(-6). Solve -t*j + 5 = 3*i + 2, -i + 13 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 45 = -5*g. What is the highest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 7 + 16 = -20 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 266027 (base 8) in base 16?\nAnswer: 16c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2808 and 10571704.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -456, -2921, -9398, -21891, -42404, -72941?\n\"Answer: -334*a**3 - 2*a**2 - 121*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 7*m - 7. Let t be z(-5). Suppose t = 6*v - 15. What is the second derivative of v*q**3 - 2*q - 4*q + 0*q + 0*q wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - t - 8, 5*s - t - 12 = 0. Suppose -5*x + 17 - 7 = -2*r, x - 5*r - s = 0. Suppose -4*d + 2674 = -x*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 37 = 4*y + y, 0 = -5*v + 3*y + 74. Suppose 22 = -7*s - v. What are the prime factors of (-2 + (-124)\/(-10))\/((-1)\/s)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*a + 45, -4*y + 2*a = -46 - 12. Suppose -1 = -2*g + g. Let l be g\/(2\/y - 0). Calculate the highest common factor of 66 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 19\/3. Let q be ((-2)\/(3\/(18\/4)))\/1. Is r greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3 + 0*q**3 + 4*q**3 - 10*q**2 - 8*q**3 - 3*q. List the prime factors of w(-4).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1888619 and 17233?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -1028, -1017, -1006, -995, -984?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 78, 104, 136, 174?\n\"Answer: 3*j**2 + 11*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8702131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9287*p**3 - 3195*p**3 - 4705*p**3 - 2479*p + 4*p**5 wrt p?\nAnswer: 80*p**3 + 8322*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.6 - -28. Suppose -7*o + 6*o - 5*k + 18 = 0, 0 = 2*o + k - 9. Sort 2\/3, -3\/4, o, j in descending order.\nAnswer: o, 2\/3, j, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - g + 109 = 0, -9*g + 8*g - 59 = -3*r. Solve 7*p - r = -14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*u + 278 = 3*u, -4*u = 2*m - 538. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31733668*l**2 - 2*l + 112812308.\nAnswer: -63467336*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2601)\/(-63) + -17 + 2\/(-7). Solve d + 20 - y = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*9\/(7452\/24)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4 + 2022*v**3 + 4017*v**2 - 10098*v - 12096 = 0.\nAnswer: -672, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -298, -262, -212, -142, -46, 82, 248, 458?\n\"Answer: u**3 + u**2 + 26*u - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7639, -7642, -7645, -7648?\n\"Answer: -3*k - 7636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 - (-34)\/(-8). Let f = -2 - d. Suppose 2*o = -2*j + 10, -2*j + 10 = -0*o + 4*o. Solve 0 = j*u - f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 28 = -q + 3*b + 42, 4*q - 101 = 3*b for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = 8. Solve b*i - 4*q = -2*q, -5*q = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47606110.82 and 3.\nAnswer: 47606113.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 - 35985*k**3 + 1881635*k**2 - 22515435*k - 52845210 = 0. Calculate k.\nAnswer: -7249, -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*-1*sqrt(252))**2*-2.\nAnswer: -36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147\/125 + 3\/125. Let w(d) be the first derivative of 1 - 5\/8*d**4 - d**2 + 0*d + 3\/4*d**6 + 2*d**3 - p*d**5. Suppose w(k) = 0. What is k?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4806195, -9612380, -14418565, -19224750, -24030935, -28837120?\nAnswer: -33643305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1305\/180)\/((126\/(-48))\/(-21))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2755133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9.3. Let p = k + -6.7. Let f = -7.0000035 - p. Round f to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**4 + 6402*l**3 + 19179*l**2 - 12*l - 25572 = 0?\nAnswer: -2131, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20283348791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 11*k - 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 288\/(-11) - 6\/(-33). Suppose 2*o + 75 = 5*l, 3*o + 3*l + 2*l + 175 = 0. Let v = p - o. Calculate the greatest common divisor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/13 + (-15892)\/(-5616). Let p = 11\/4 - o. Let t be 8\/10 - 231\/420. Do t and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6122591832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Suppose -23 - 7 = -r*u. What is the greatest common divisor of u and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81916, -81920, -81926, -81934, -81944?\n\"Answer: -d**2 - d - 81914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63191 = -13*y + 40913 + 585. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 1) + 249\/1. Let q(n) = 95*n - 184. Let x be q(2). Suppose -x*r - 71 + h = 0. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*t + 27, -4*t = s - 3*t - 19. What is the remainder when 68 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-36)*(-90)\/4. Suppose 0 = 3*y - 8*y + q. What is the first derivative of 2 + 2*l - 2*l + 4*l**3 + 17*l**y wrt l?\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*w = 22, -5*r + 3*w + 7 = 48. Let j = r + 24. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384848 by -8.\nAnswer: -48106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36650 (base 7) to base 9.\nAnswer: -14135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 442*t - 224. Let z be u(3). What is the greatest common divisor of 266 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -207*v**2. Let n(d) = -228*d. Calculate n(a(x)).\nAnswer: 47196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3532 and 47953964?\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 - 71 - 724776\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 654066 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -17. Suppose b*h - 5*h = 0. Suppose h = 3*k + 6 - 93. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2237018 divided by 7\nAnswer: 319574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z - 46*z + 135 = 0. Let y be (30\/(-1))\/(z\/(-54)). Let n = 64 - y. Solve -13 = -n*w - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u**2 - u + 5. Let v be (0*3\/(-9))\/2. List the prime factors of t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.1. Let n = -10 - -6. Which is the nearest to t? (a) n (b) 2\/5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-70))\/(105\/(-200)*1)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719703.\nAnswer: 3, 79967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4 - 36*f**3 - 160*f**2 + 36*f + 162 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**2 - 99*i - 42 = 0. What is i?\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 9*f**2 - 2*f + 16. Let v be b(9). Let o(t) = t + 2. Give o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.176 - -6.924. Let o = v + -7. Let a be 2 - 9\/(396\/80). Sort -2, a, o in descending order.\nAnswer: a, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79009 - 79005. Suppose 5*g + 20 = -5*s, g - 3*s - 26 = 2*s. Put -5, k, g, 44 in decreasing order.\nAnswer: 44, k, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1565 and 854283420.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*b - 1504 = 367*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(-5)\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(117)\/sqrt(225) + ((2*sqrt(1872))**2 - (sqrt(78)\/(sqrt(6) - sqrt(24) - sqrt(6) - sqrt(6)) - sqrt(13))**2).\nAnswer: -4*sqrt(13)\/5 + 67184\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25522 + 639*h - 641*h + 25522.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205198.\nAnswer: 2, 7, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -7392 and -7418 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Let x = 85 + -87. Let n be (-6)\/(-14) - (48\/(-28) - x). Which is the closest to 0.1? (a) -3 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 27 = h - 4*h - 6, 0 = -4*x + 14*h - 62 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k**2 + k + 3. Let a be p(3). Let y = a - -63. Let v be y*(4 - 25\/5). Solve 2*u + 25 = -v*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 206, 412, 686, 1022?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28635 is divided by 6855.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78.69 - 80. Let u = 21 - 20.73. Let p = u + b. What is p rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -107*o - 966. Calculate g(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 7:15 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10619 is divided by 1155?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Let n(q) = 15*q**2 + q**2 + 23*q**2 + 15*q**2. Calculate y(n(j)).\nAnswer: -162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/2*(-18)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and -101\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.1 and 2045?\nAnswer: 55419.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) - (-6 - (-72)\/(-42)). Solve 2*j = 4*j - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - (-1 - 6 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.11 (b) -0.4 (c) 16\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**7\/840 - 7*l**6\/360 - 7*l**5\/120 + l**4\/8 + 5*l**3\/6 + 5*l**2. Let d(a) be the first derivative of y(a). Calculate d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23660 and 1260.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((65\/2)\/13)\/(3\/(60\/10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 12*l + 18*l - 38*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 479559.4 litres?\nAnswer: 479559400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q - 2*q)*(-7 - 4 + 4)*(1 + q - 1).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751563*p**3 - 1750983*p**3 - 19 + 19.\nAnswer: 580*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4784 = -8*c - 4*x, 5*c - 6007 = 4*x. Calculate the remainder when c is divided by 135.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b98461 - 3?\nAnswer: -b98464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 210, 213, 214, 213, 210?\n\"Answer: -z**2 + 6*z + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.3. What is the nearest to 1 in p, -4\/7, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36905125?\nAnswer: 5, 19, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25569027 or 25569016?\nAnswer: 25569016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 177*w**2 - 33\/2*w**3 + 12 - 189*w**4 + 90*w - 147\/2*w**5 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27331 by 2.\nAnswer: -27331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7515)\/13527*(-108)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -41*k**2 + 4*k - 10. Let j(n) = -81*n**2 + 9*n - 22. Let u(m) = -5*j(m) + 11*l(m). Let y(o) = -12*o. Give y(u(w)).\nAnswer: 552*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/611 and 11\/846.\nAnswer: 10998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*g - 80 = -193*g. Is 15 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 110 = b, 4*v - 7*v - 66 = -13*b. Let k(c) = -15*c - 326. Calculate k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16)**34 assuming u is positive.\nAnswer: u**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -14*x + 5*x. Factor 8*t + 3*t**3 + 4*t**2 - 10*t**3 - x*t**4 - t**3 + 0*t**3.\nAnswer: -4*t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551 (base 11) in base 5?\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -10*b - 5*b + 84. Solve -5*n - 15 = c + 3*c, -b = -c + 2*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 475 = -580. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 453*n - 7162. Is 100 a factor of a(54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 6. Suppose 2*t - 15 = -3*t. Suppose -2*r - 3*b + 29 = 0, -2*b + y = t*r - 4*b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 140227, 140067, 139907, 139747, 139587, 139427?\n\"Answer: -160*v + 140387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 4*p**2 - 7*p. Let g(a) = a**3 - 11*a**2 + 25*a - 56. Let l be g(9). Determine i(l).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3*d - 9. Let u = 174 - 117. Let z = u + -61. Calculate a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.8444 grams in nanograms?\nAnswer: 635844400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2266351610.\nAnswer: 2, 5, 6329, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -11*c**6\/15 - 19*c**5\/15 - 14*c**2 + 2*c. What is the third derivative of s(y) wrt y?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 18, -14, 0, 107, 4 in decreasing order.\nAnswer: 107, 18, 4, 0, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 f, and 1 o when four letters picked without replacement from cconoffono.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 726, 1097, 1470, 1839, 2198, 2541?\nAnswer: 2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 2. Let q = -2 + 4. Suppose -i + 5*h - 1 = 1, -16 = q*i + 2*h. What are the prime factors of a(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/120 + 7*t**5\/60 + t**4\/3 - t**3 - 8*t**2. Suppose -w = -2 - 5. Does 16 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-18)*(-291)\/(-970)*(-78)\/52?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/(y\/(y**(-7)*y))*y**(2\/11)*y*y**(-2\/9)*((y\/(y\/(y\/y**(-5))))\/(y\/(y**(-3\/2)*y)))**(4\/21) assuming y is positive.\nAnswer: y**(-6364\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*(-22)\/55.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = 8. Let y be (0\/12)\/(3\/(0 - r)). Let h(k) = k**3 + 5*k**2 - k. Let n be h(-5). Solve 0*b - n*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f + 3*f - 5*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z + 2 + 0 - 2. Let v(r) = 3*r - 7*r + 3*r. What is v(q(w))?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/6 - 9*x. Let a(z) = -3*z. What is a(n(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 - 2 = 2*k, 3*u - 5 = -4*k. Let m = u + -1. What is f in -f - f**2 + 0*f - f**m + f**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 + 4*w - 3. Let b = -39 - -42. Determine s(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*t + 530 = -120*t. Solve -12 = -l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53849*j**4 - 3*j**3 + 2*j**2 - 59702*j?\nAnswer: -646188*j**2 - 18*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 3\/7*o**7 + 0*o**2 - 2\/3*o**3 + 0*o**6 - 2 + 0*o**5 + 0*o**4 + 0*o. Find the third derivative of i(m) wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 16*k - 2 = 0. Suppose 0 = k*m - 32 + 22. Solve 3*p = t - 2, 5*p = -m*t - 14 - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 7:22 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 577. Let p = 1053 + r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 193*j + 29. Let l be r(-13). Round l to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/2 + 9 - 5. Sort -13, -5, w, 4 in increasing order.\nAnswer: -13, -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100110010 (base 2) in base 13?\nAnswer: 352c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 15. Let i(k) = 238*k + 223. Let f be i(-1). Determine l(f).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.34 (b) -2\/7 (c) -3 (d) 17\/10 (e) 3.2 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.3, -5, 334?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -215*t - 25820. Give c(-120).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 11 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1200, -10113, -34306, -81417, -159084?\n\"Answer: -1273*d**3 - 2*d**2 + 4*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 61999 = -3*h, 913*o - 2*h - 62001 = 908*o. List the prime factors of o.\nAnswer: 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 61*p**3 + 4020*p**2 - 444*p - 3114. Calculate l(-66).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20 = 0, -d + 2*d + 2*z + 6 = 0. Let h(n) = 2*n**2 - n**d + 1 - 3*n + 3. Let k be h(3). Solve 12 = k*l - 0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1012a24?\nAnswer: -1012a1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-158*y + y**3 + 2*y**3 + 162*y)*(-10*y - 11*y + 40*y) to c*y + s + a*y**4 + p*y**3 + u*y**2 and give u.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4210 + 15880 = -574*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4026501565 + -15?\nAnswer: -4026501613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 315859, 631949, 948039, 1264129, 1580219, 1896309?\n\"Answer: 316090*t - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5 = -d, 6 - 112 = 18*d + 3*n - 64 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -124, 4 in increasing order.\nAnswer: -124, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*1 + sqrt(19) + -2 + 2.\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268ede (base 15) to base 3.\nAnswer: 10111010122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3 - 303*d**2 - 4332*d - 4032 = 0.\nAnswer: -84, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5323445752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2226460*z**3 + 11132308*z**2 + 40*z.\nAnswer: 4*z*(z + 5)*(556615*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273*g - 93*g - 379*g**2 - 179*g - 2 to h + r*g**2 + x*g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c + 1. Let x(v) = 2*v. Determine -2*n(l) - 9*x(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 4) + 3)\/((-1563)\/(-44285)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -507739430*w**4 - 783*w**2 - 2*w - 70514 wrt w.\nAnswer: -12185746320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 895*x + 894*x + 28*x**3 - 1790*x + (0*x**2 - x**2 + 0*x**2)*(2 - 2*x - 2).\nAnswer: 30*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 182*t**2 + 97*t + 68. Calculate a(-46).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:37 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-13 - 4))\/(100\/100).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 23995 + 14829. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3712850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 2. Suppose 8*s = 7*s - 22. Let c(k) = 9 - 1 - 16*k + 3. Determine s*f(z) - 4*c(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -n - 2*n. Suppose -d - 5*l - n = 0, -3 = -5*l - 28. Suppose d = -o + 297 - 46. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7882965*p*y**2 + 17827857*p*y wrt y.\nAnswer: 15765930*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -78. Suppose -2*q + 38 = 2. Suppose 3*l + 3*p - q = 0, -2*l - 3*p + 2*p + 10 = 0. Solve -l*m + g = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570667.\nAnswer: 7, 173, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 10, -2*b - 3*t + 12 = 0. Is 3 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120380 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -316 - 81*u + 161 + 155 in the form t + s*u and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118638 by -39.\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 0, 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 6*p - 10*p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l**6 - 1\/42*l**7 + 3*l**2 - 5\/12*l**4 - 3*l + 0 + 0*l**3 + 1\/4*l**5. Factor t(i).\nAnswer: -5*i*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 265293404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5635?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*o = -0*o - 1, -2*u - 7 = -5*o. Suppose 4*s = 2*s + u*s. Which is the nearest to -2? (a) 0.2 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(0 - 3 + 1)*(-8*o**2 + 17*o**2 + 14*o**2).\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:40 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + 14.7. Let j = 1 - k. Let t = j - -18. Which is the closest to t? (a) -1\/10 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497769546?\nAnswer: 2, 7, 13, 37, 222419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084748431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 22. Let k = 77 - b. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -4850?\nAnswer: -4841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f. Suppose 3*u + 20 = -u, f = -4*p - 5*u + 123. What is the lowest common multiple of p and 11?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -41. Sort -5, x, -2, -1 in ascending order.\nAnswer: -5, x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579877505?\nAnswer: 3, 5, 47, 181, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -332227\/787800 + 162\/1313. Calculate the common denominator of y and 15\/16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 50 = 9*o - 20, 5*o + 32 = -4*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88713 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*s = -7, 5*c + 3*s - 15 = 2*c. Suppose 5*n - 4*n - c = 4*b, -2*b - 14 = -2*n. Let j = n + -4. Solve j = -p + 3, 2*q - 5*p - 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -42 + 41 - 3*p + 0*p. Let a be j(-2). Let b = -2\/193 + -376\/965. What is the second smallest value in a, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(2\/5)*b)\/b)\/(b\/b**(1\/4))*b**(2\/9)\/b*b**(-1) assuming b is positive.\nAnswer: b**(-203\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y. Suppose y - 4 = -j. Suppose 4*q - 5 = x - 18, -j*x - 4*q + 92 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/1680 - t**6\/720 + t**3\/6 - 2*t**2. Let v(o) be the first derivative of j(o). Factor v(y).\nAnswer: y**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(468)*-1 + 4 - ((sqrt(468) + (sqrt(468)*1 - sqrt(468)) + sqrt(468) - sqrt(468))*4 - sqrt(468))*4)*4)**2.\nAnswer: -22464*sqrt(13) + 1266768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/240)\/(2\/(-8)). What is the nearest to o in -50, -2\/15, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 3*z - 2*z**3 + 3*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (83 + 347 - 17)*((0 + 3 - 2)*(1 - 1 - 2*y**2) + 3*y + y**2 - 3*y + y**2 + 4*y**2 - 6*y**2 - y**2 - y + y) as g*y + i + o*y**2 and give o.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 72, 3, 0.1, -2\/7, -133, -5, -0.24?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*p - 146*p + 69 = -4*w, 0 = -w + 6*p + 68. Solve -46\/3*t**w + 14\/3 + 2*t**3 + 26\/3*t = 0.\nAnswer: -1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 2 + 1 + 2*t + 0. Let r be g(-4). Find a such that -3*a**r + a**2 + 3*a**4 - a**2 + a**2 - a**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278938 divided by 31\nAnswer: -8998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1*(-1)\/(-15)). Let t = 17 - b. Suppose -t*a + 46 = -28. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1710*h**4*i**3 - 124*h**2*i**3 + 2*i**3 + 359*i**2 - 7*i wrt h.\nAnswer: -6840*h**3*i**3 - 248*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*k**3*m*n**3 - 3700*k**3*m*n + 226*k**3*n**2 - 2*k**2*n**3 - 195*k**2*n**2 wrt m?\nAnswer: -17*k**3*n**3 - 3700*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 - 25*o**2 - 40*o + 60 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 182199263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 0.35. Let k = 4.74 - 6.91. Let q = k - -1.17. Which is the nearest to q? (a) -0.2 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 5*i + 503 = -d, 0 = i - 5*d + 157. Let m = 505\/3 + i. Determine h so that 0 + m*h - 2\/3*h**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/13412636 and 111\/16346?\nAnswer: 147538996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*y = 9*y - 240, -3*p = -4*y - 116. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 32. What is the second biggest value in -1, 0.1, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 0.05665 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) -4 (b) -7 (c) 7\/8 (d) 149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -188*o + 6442. Give d(34).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -80*m**2 - 27*m + 21. Let l(j) = 53*j**2 + 21*j - 20. Let k(v) = 3*l(v) + 2*x(v). Calculate k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let n(o) be the third derivative of o**5\/15 + 13*o**4\/24 - 9*o**2 - 3. Determine j(n(x)).\nAnswer: 16*x**4 + 104*x**3 + 169*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 7 + 29 + -13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t + 1244. Let h(c) = 23*c + 2489. Calculate -2*h(j) + 5*n(j).\nAnswer: -j + 1242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1681034)\/(-10) - 24\/60. Suppose 0 = -37*u + 289994 + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 - 3 - -1). Suppose n - 5*n + c = -60, -4*n + 44 = 3*c. Solve 1 = -z + 2*t - 9, 3*z + 5*t - n = y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/3 - 18*b**2\/5 + 44*b\/15 + 16\/5 = 0.\nAnswer: -3\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 515 and 2370030.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2722.\nAnswer: -3\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504370013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 - (-78)\/72). Solve -2*v - z = -6*v + 5*y, 2*y + 12 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.376 to zero decimal places.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Solve 0 = -y*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2 = 10. Let g be 4\/(-3)*c\/2. Suppose -135 = -5*j + 3*d, -110 = -j - 3*j + g*d. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*o**6 - 28*o**2 wrt o.\nAnswer: 2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*i + 3*a, -12 = -142*i + 145*i - 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.154 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 20, 2\/7, -6, 1\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*y = -3017057 - 1142966 + 821743. What are the prime factors of y?\nAnswer: 5, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -12 - 173 - 73. Solve 12 = -s*b + 261*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784410074 and 1239?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162402446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 1, -0.1, -1209\/16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*g - 27 = -422*g. Sort g, 1, -2, 5, -31.\nAnswer: -31, g, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.8, -5, 5 in descending order.\nAnswer: 5, 0.8, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 7*f**2 + 6*f + 3. Let h = 66 + -64. Let c(q) = 13*q**h + 3*q**3 + 0*q**2 - 2*q**3 + q**3 + 5 + 11*q. Determine 6*c(r) - 11*u(r).\nAnswer: r**3 + r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8440250*j**2*l**3 - 502822*j*l**3 - 13*j wrt j?\nAnswer: -16880500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (2 + sqrt(72))*-5 + -3*sqrt(72) + 1)**2.\nAnswer: 960*sqrt(2) + 4708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7977 is divided by 266.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 404764 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 754*i**5 + 3*i**2 + 12*i + 14 wrt i.\nAnswer: 15080*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 6:44 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*v**3 - 2*v**2 + 29*v**3 - 238 + 0*v**2 - 12*v**3 as l*v**2 + y*v + p + d*v**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 15) + 36 + -77.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 9*f - 10. Let w be i(7). Suppose -w*q - q = 0. Suppose q = -0*d - d + 3. Is d less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54945 by 10989.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 113 = -3*l, -3*d - 5*l - 49 = -5*d. Suppose -2*n - 182 - d = 0. What is n rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2 - 15*p - 5. Let j(o) = 5*o**2 + 7*o + 3. Let r(k) = -6*f(k) - 13*j(k). Give r(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1078, 2015, 2952, 3889?\n\"Answer: 937*b + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76360, 152722, 229084, 305446?\nAnswer: 381808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/460*(200\/12)\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -25*a. Let g(n) = -6371*n + 12783*n - 6388*n. Calculate j(g(q)).\nAnswer: -600*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2159214*h*n**3 + 10775151*h*n - 129*n**4 + 25*n wrt n?\nAnswer: 12955284*h*n - 1548*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*k - 5*k = 41, -2*k - 9 = -y. Let f = 3 - y. Let t = f + 13. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*q + 3*q + q + (2 + 0 - 3)*(-q - q + 0*q) - 23*q + 10*q - 11*q.\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.407 + -1.407. What is the nearest to 2 in -1\/2, q, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -427?\nAnswer: -427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294 + 671. Suppose -2*f - 2*f - 5*a + 540 = 0, -3*f + 2*a + 405 = 0. Suppose -v = -3*y + 4*s - f, 0 = y - 4*s - 86. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-273)*14)\/((55\/(-30))\/(114\/24))?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182769355?\nAnswer: 3, 5, 13, 861053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4771853, 9543704, 14315555?\nAnswer: 19087406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34500097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1002 - 5?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 + 0?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -115 - 235. Let h = -30208 - -30250. What is the highest common divisor of l and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1132 + -1133. Let f be 8\/44 - (-58)\/44. Let j be 1*(3 + (-3 - -1)). Which is the nearest to n? (a) j (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 37*y**6\/2 + 2*y**5 - 339*y**2 - 2044. What is the second derivative of o(i) wrt i?\nAnswer: 2220*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 22306, 5, 1 in descending order.\nAnswer: 22306, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -4*w**3\/15 + 256*w**2\/5 + 516*w\/5 - 1059. Factor d(h).\nAnswer: -4*(h - 129)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417285 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/378)\/(-7*(-3)\/9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/45 - (2 - 4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.114. Let i = -6.910764 + 6.897. Let c = i + d. Round c to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 87*m + 358. What is v(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*m + 415 - 383, 5*m = 33*b + 670 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 3:49 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(162\/300))\/(70\/(-168)).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1688, -17791, -44638, -82235, -130588, -189703, -259586?\nAnswer: -340243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, -463, 1678?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*d - 4. Suppose 9*n - 4*n = 10. Let m be 21\/182*n\/21. Is d != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1249480, -1249500, -1249532, -1249582, -1249656, -1249760, -1249900?\n\"Answer: -i**3 - 13*i - 1249466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 9 - 9 + (-2*p + 0*p + 3*p)*(92 + 174 - 12) to the form j + s*p and give s.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = -p. Suppose 0*b + p*b = 40. Is 8 a factor of (-20)\/6*(-96)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f - 6. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-22)\/((d**(17\/5)*d)\/d) assuming d is positive.\nAnswer: d**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**2 + 22*c + 0*c**4 + 0 + 17\/6*c**3 + 1\/5*c**5. What is the second derivative of h(d) wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q - 9 = -111*q + 3*a, -4*q = a + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3296 = 4*c, 2*x + 2*c - 4155 = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*s*x**3 - f*s - 73*f*x - 19*f + 313*s*x**3 - s*x**2 - 4*x**3 wrt x?\nAnswer: 6*f*s + 1878*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -30. Which is the closest to -1? (a) 1.2 (b) o (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*h - 775 = 0, -755 = -0*o + 3*o - h. Let q = 445 + o. Calculate the common denominator of -25\/8 and (-4)\/2 + (-372)\/q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 - 202695*q**3\/4.\nAnswer: 3*q**3*(q - 67565)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4222, 4623, 5048, 5509, 6018, 6587, 7228, 7953?\nAnswer: 8774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w*w**(-2\/39))**(1\/63)*w**6*w**6 assuming w is positive.\nAnswer: w**(4234\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -16*c + 3. Let u(o) = -81*o - 130 + 76*o + 130. What is p(u(w))?\nAnswer: 80*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + (-80)\/6. Let s be (1 - 3\/12)\/((-21)\/h). Find c, given that 0 - c**3 + 1\/2*c**4 + 0*c + s*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1044 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 220 - 269 = 351 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 83 = -f, -f - f + 3*t - 111 = 0. Let d = 71 + f. Suppose 2*y + d = 0, -5*j - 4*y = y - 65. Solve -h = -5*z + j, 5*h - z - 9 = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) -111 (b) 0.7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 11, 2 in descending order.\nAnswer: 11, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(2\/9)\/((r\/(r\/r**3))\/((((r\/r**(-2)*r)\/r)\/r)\/r)))**39 assuming r is positive.\nAnswer: r**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -0.2, -387\/4, -3?\nAnswer: -387\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(52)*6 + sqrt(117)*4)**2 - (sqrt(78)\/(sqrt(42)\/(-2*sqrt(7))))**2) + -4.\nAnswer: 7430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -28*g - 260. Let q = -801 + 783. What is the hundreds digit of i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 76 = -y - 12*y - 149, -3*y = 3*d + 354 for d.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -13\/6*i**3 + 2*i**2 + 0 + 14*i. Suppose 0 = -p - 4, -2*m - 2*p - 2 = 3*p. Let l(a) = -3*a + 1. Calculate m*l(o) - 2*y(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27984 by 106.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/104)\/(13\/8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -329, -321, -311, -299, -285?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + 0*x - 3)*(-3*x + 4*x + 3*x).\nAnswer: 4*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8914667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 91. Let j = 0.035 + -41.035. Let b = t - j. What is the third smallest value in b, 1, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 308365037, 308365035, 308365033, 308365031, 308365029, 308365027?\n\"Answer: -2*o + 308365039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 3*w + 32 + 5*w)*(12 + 14 - 24).\nAnswer: 4*w + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3037*128694\nAnswer: 390843678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510679 and 1610.\nAnswer: 822193190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**4 + 7*a - 7*a + (a + 4 - 2*a - 2)*(a**3 + 0*a + 0*a)*(34 - 2 + 1).\nAnswer: -40*a**4 + 66*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/2 + 216045*m**2\/2 - 5834484264*m + 5834376242 = 0?\nAnswer: 1, 108022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 0 + 0)*(-b + 0*b - b + (3*b - 16*b + 58*b)*(1 - 1 - 1) + 10 - 2*b - 10).\nAnswer: 196*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1880, -2, 10 in descending order.\nAnswer: 1880, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 400664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. List the prime factors of 14 - (0 - (3 - y)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 - 975*i**2 - 5709375*i\/2 - 1416406250 = 0. Calculate i.\nAnswer: -875, 3700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(6\/(-8)). Let r(b) be the first derivative of -2*b**2 + 2*b + 1. Let k(f) = -17*f + 9. Suppose 7*w = 3*w + 36. Give h*k(a) + w*r(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5665, -5696, -5747, -5818?\nAnswer: -5909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 445, 446, 447?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -25*f**2 - f + 14. What is the units digit of u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4376, 8724, 13064, 17396?\nAnswer: 21720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)*g**(-2)*(g**(-1))**0 assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 195f + -18e?\nAnswer: 17d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377 + 534. What are the prime factors of y?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 452060868 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773981?\nAnswer: 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 1197. Suppose 13*x - 56 = b. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 66. Calculate the smallest common multiple of 10 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + -17.93. Let j = t + 29. Let h = -11.000007 + j. What is h rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 14. Let i(z) be the third derivative of 0*z**3 + 0 + 1\/12*z**4 + 0*z - 154*z**2. What is i(p(c))?\nAnswer: -4*c + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h**3 + 10*h**2 - 9*h - 5. Let i(r) = -62*r**3 - 30*r**2 + 25*r + 14. Give -11*b(v) - 4*i(v).\nAnswer: 17*v**3 + 10*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 3*g**2 + g**2 - 3*g**2 - 1. Suppose 2*k - k - 6 = 0. Let w(l) = 5 + 2*l**2 - k*l**2 - 4. Determine -w(y) - 2*x(y).\nAnswer: 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -66. Let x = z + 100\/3. Suppose -12 = -3*j - 0*j. What is the biggest value in j, -3, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/9 - 158398*m**4\/9 - 158408*m**3\/3 + 950408*m**2\/9 + 1267232*m\/9 = 0. Calculate m.\nAnswer: -4, -1, 0, 2, 79202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15285.87 - -15285. Which is the nearest to 2\/9? (a) -2 (b) 9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49848*m + 816 = -49899*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 489220680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from aauuaaauuu?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38572978 to the power of 1\/2, to the nearest integer?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 4. Suppose -h*s = 5*g - 3, s + g - 2*g = 5. Suppose -2*y = -s*y. Sort 1, y, 3.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-469 - -472) + (-1 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -136.8, -4 in descending order.\nAnswer: -0.1, -4, -136.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((10\/10)\/(8\/2))\/(76\/(-8)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Product of 26.69 and 15.\nAnswer: 400.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 - 2*b - 3. Calculate s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 10:51 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1028 divide 477254140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Solve -i*w - 8 = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o = -5*n - 223, 73*o = -62*o + 131*o - 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*p - 1, 2*m - 16 = 3*p + 4*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -303*g - 90*g + 1284*g in the form o*g + x and give o.\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 11. What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -4 in increasing order.\nAnswer: -16, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.04 + -34. Let g = z + 0.9599907. Round g to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 - 11.2. Let n = -8 - s. What is the nearest to 0 in -1, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*a - 4*a. Suppose 0 = a*b - 25 - 7. Is (3*2)\/(b\/56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 53*y**2 + 4*y**3 - 5 - 5*y**3 + 9 + y - 29 + 1. Calculate the remainder when 51 is divided by s(53).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1397 + -1397. Solve t = -3*c + l - 8, 7*l = -c + 3*l + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b. Let s(t) = 120*t - 35. Let n(c) = -c + 1. Let i(g) = -10*g + 5. Let l(o) = -i(o) + 3*n(o). Let w(p) = 70*l(p) - 4*s(p). Give w(r(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:08 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 3*i**2 + 2*i**2 + (0*i + 0*i - 2*i**2)*(2 - 2 + 2) - 1 - 2*i**2 + 1 + (-2 - 2 + 7)*(i**2 + 0 + 0) - i**2 + i**2 - 2*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*i*r**3 - 54*i*r**2 - i*r + i + 3*r**3 - 2*r + 147 wrt r.\nAnswer: -252*i*r - 108*i + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/6*1 - -61 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 41*q**2 - 267*q - 29. Calculate k(-33).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2296, 2321, 2372, 2461, 2600, 2801, 3076, 3437?\n\"Answer: 2*h**3 + h**2 + 8*h + 2285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -19. Suppose -5*y + q = 5*d - y, -d + 4 = y. Suppose -1 = 2*s - 3*s. Calculate the remainder when d is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8508121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15975140?\nAnswer: 2, 5, 798757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 165 = v - 2*r, 4*v + 4*r - 660 = 0. Suppose -2*y + v = y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80603 is divided by 352?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 3*h - 1. Suppose -6*u + 36 = -15*u. Calculate i(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 183 = 9*o - 4*o, 0 = -2*v + 4*o + 100. Let f = v + -35. Solve -3*c - 33 = -f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 50*k = -637. Let s(h) = h**2 + 10*h + 5. What is s(k)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -23. Let k = 63 + h. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*150\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 375 = 7*k. Suppose -1247*g = -1255*g + 128. Calculate the remainder when k is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129512466 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3612*u**3 - 198656*u**2 + 202492*u - 224 = 0. What is u?\nAnswer: -56, 1\/903, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*v - 4*v + 2*v) + 7*v + 13*v + 50 - 19*v + (1 + 3 - 6)*(-2*v + 0 + 0) - 2*v - 2*v + 3*v + (3 + 2 - 4)*(2 - 2 + v) + v + v - v - 2 + 2 - v.\nAnswer: v + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -634410 divided by -2385.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 2*o**5 + (-4 - 9*o + 4)*(2*o**2 - 2*o**2 + o**2)*(482 + 82*o**2 - 482).\nAnswer: -740*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**2)\/t)\/t**(-2))\/(t*t*((t\/((t\/(t\/t**6*t))\/t))\/t*t*t)\/t*t*((t*t*t\/((((t**2\/t)\/t)\/t)\/t)*t)\/t)\/t*t*t))**(-22) assuming t is positive.\nAnswer: t**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.71 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 3)*(-2)\/(-2). Let s(y) = 8*y - 5 + 0*y**2 - y**2 + n*y - 2*y. What are the prime factors of s(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 207. Calculate the greatest common divisor of x and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -1867 (c) 1 (d) -7 (e) -12.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*u - 15, 2*g = 6*g - 2*u + 6. Which is bigger: 2\/2989 or g?\nAnswer: 2\/2989","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1328 - -1299. Which is bigger: w or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(304) + 1 - sqrt(19))*-3)**2.\nAnswer: 108*sqrt(19) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 4*o = 0. Let a = 20 - 18. Solve a*m + 4 + 0 = o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43688?\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -69.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) -0.49 (c) 1057 (d) 11 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.27 * -188.08.\nAnswer: -803.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123991241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -83716*x - 2846264. Calculate p(-34).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -36. Put -9, 5, n in ascending order.\nAnswer: -9, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 15 = 3*q. Let u = 60 + q. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d. Let q(b) = -652*b + 1. Give n(q(j)).\nAnswer: 4564*j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0 + v**3 + 0*v + 1\/6*v**4 - 20*v**2 - 1\/40*v**5. Let f(b) be the first derivative of d(b). Determine f(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d - 1. Let a(f) = -20*f**3 - 5*f**2 - 5*f - 13. What is -a(l) + 5*u(l)?\nAnswer: 20*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -86733\nAnswer: 2\/86733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8*u + 1)*(0 - 5 + 4) - 370*u + 85*u - 432*u.\nAnswer: -725*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 211883930 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314974611.\nAnswer: 3, 7, 4999597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (290\/35 - 8)*-28?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2818 + -2253. Does 113 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((2\/8)\/(2\/(-3)*(-51)\/(-136)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -135376 greater than or equal to -135376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520202.\nAnswer: 2, 29, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26\/5937 - 32000\/8210871. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*l - 1 = -o, -o + l - 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 7, z: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 34*j**3 - j**2 - 86*j - 2605. Let q(n) = -20*n**3 + 44*n + 1302. Let f(i) = -5*q(i) - 3*v(i). Find the first derivative of f(z) wrt z.\nAnswer: -6*z**2 + 6*z + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 213\/2*70\/21. Suppose -c - 4*c + n = 0. Round c to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 1:00 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/70*455)\/(1\/2). Solve 84*q - h*q = 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 13\/3) + 238\/3. Suppose -35*o + y + 166 = 0. Let g(z) = z**3 - 7*z**2 + 4. Calculate g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(2*u**2 - 4*u**2 + 6*u**2)*(-2*u - 4*u + 4*u) to y*u**2 + v*u + d + c*u**3 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzlhzrz. Give prob of sequence zhl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22950 + -13157. What is the remainder when f is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 10*m + 29. Let i be d(6). Solve 2*c - 7 = 2*v - v, -2*v - 15 = -i*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - 0.06. Let o = s + -5.03. Which is the closest to -1? (a) 3\/2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/299 and -38\/3289.\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1612 = 4*m + 4*z, 0 = -4*m + 2*z + 254 + 1394. Which is bigger: 410 or m?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37.91165g?\nAnswer: 37911650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370925\/8 + 46369. Let b = 2285 - 15938\/7. Find the common denominator of k and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-45)\/(-9) - 134)*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-26) + (-6)\/39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -54690*y - 382803. Calculate x(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.7 and 2914056?\nAnswer: -19524175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22892.6709us?\nAnswer: 0.00000026496146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.04, -0.1, -2.59?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let h(n) = -18218209*n. What is i(h(l))?\nAnswer: -18218209*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - 3. Let c = -17 - l. Suppose -3*g - 3*r + 8*r = -51, -3*g + c*r = -51. What is the remainder when 33 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2449 divide 117943840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39669, 38811, 37953, 37095?\n\"Answer: -858*c + 40527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.767491 or 1.05?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = k + 10, -2044*t + 2043*t - 4*k + 11 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1728)*1 - sqrt(1728) - sqrt(1728))\/(sqrt(324)*-5 - sqrt(9)))**2.\nAnswer: -1730\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r**2 + 62*r - 5. Let o be b(4). Sort o, -1, -0.0955.\nAnswer: -1, -0.0955, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2. Let q(s) = 21*s**2. What is q(j(f))?\nAnswer: 336*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5 - 24*n**4 - 48*n**3 - 32*n**2 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-4)\/(-15). Suppose 2*q = -3*q - 2*t + 25, 4*q + 13 = 5*t. Let w be q\/(-5)*(-12)\/(-9). Put v, w, 1\/6 in descending order.\nAnswer: v, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(2 - 0) + 16. What is the units digit of (-3)\/18 + 21\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*k - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4625 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-45) - (-33)\/(-90)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27077024 and 3744?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 94 + 102 + 41*q**2 + q**3 - 295 + 100 - 45*q**2. Calculate u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280750 to the nearest 1000.\nAnswer: -281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/30 and 187\/2686866.\nAnswer: 13434330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 12 = 8*t. Let m(u) = 4*u**2 - 3*u - 5*u**2 + 2 - 6 + t*u. What is the lowest common multiple of m(4) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/7)\/(a*a\/a**(-2\/7))*(a*a*a\/(a\/(a\/(a\/((a**(-2\/7)\/a*a)\/a)))))**(-7) assuming a is positive.\nAnswer: a**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-186*f + 205*f - 246*f)*(-13 + 13 + 2*f) + (-4*f + 4*f - f)*(-4*f - f + 3*f) + 0*f**2 + 0*f**2 - 2*f**2 to a*f**2 + t*f + m and give a.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 444536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/7122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(238)\/(sqrt(7) - sqrt(28)))\/(sqrt(2) - -5*-3*sqrt(2)).\nAnswer: sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + d**3)*(-3 + 5 + 5)*(9 - 1 + 1) to the form p*d**3 + o*d**2 + y*d + x and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, -89, 1\/7 in descending order.\nAnswer: 3, 1, 1\/7, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + v - 14, 0 = -100*s + 215*s - 109*s + 4*v - 44 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 520697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2724, -3144, -3664, -4284?\n\"Answer: -50*r**2 - 270*r - 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8935870 and 73\/2960.\nAnswer: 71486960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 10. Suppose -d*m + 81 = -5*n - 34, -2*m = -3*n - 44. Let f = -101\/4 + m. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 4, 2 in descending order.\nAnswer: 4, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3848 - 3944 = -2*n, 72 = t + 2*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 81*f. Let z(v) = 5915*v. Determine -364*s(b) + 5*z(b).\nAnswer: 91*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-4)\/(-6))\/((-59)\/1062). Suppose 0 = 2*g - 2*l + w, -g + 4*l - 3 = 3. Let h be ((-69)\/g)\/(5\/30). Calculate the highest common factor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8909259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2817241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from vohuohoooovoovohoh?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - ((-1 - 6) + 12). Find the common denominator of -13\/27 and (p - (-65)\/(-6)) + (4 - -1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002817359 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -304, -541, -944, -1507, -2224, -3089, -4096?\n\"Answer: x**3 - 89*x**2 + 23*x - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*r**4 - 418*r**2 + 105*r - 163 wrt r.\nAnswer: -240*r**2 - 836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 * 13\nAnswer: 0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 20, 116*f - 43*f - 27*f - 210 = -5*v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.7302 - 35.551287. Let f = -81.101913 + m. Let k = 81 + f. Round k to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**3\/3 - 2*t**2 + t + 25. Does 17 divide s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (69\/6 + -4)*(-218)\/12*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 g when four letters picked without replacement from ggghgggggggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - ((-6)\/(-2) + -1). Suppose 2*x - 4 = -v + a, 2*x - 8 = -4*v. Suppose 93 = r - 4*i, -x*r + 138 = i + 3*i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-6))\/((-2)\/6). Let s(a) be the second derivative of a**4\/6 + 5*a**3\/3 - 9*a**2\/2 - a - 58. Is 7 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -456, -689, -924, -1161, -1400?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m = -151*m - 3600 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(2\/7))\/x**3)\/((x**(-2\/9)*x)\/x)**(-7) assuming x is positive.\nAnswer: x**(-143\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5 + y**2 - 8 - y - 1. What is the units digit of k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f - 16, -5*b - 2*f + 22 = 0. Let a be (2\/3)\/((-3)\/(-9)). Let g = 3 - a. What is the least common multiple of g and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 21100*d**2 + 281722*d + 0 - 281722*d.\nAnswer: -21100*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4170 + 5?\nAnswer: 4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 8*c**2 - 39*c + 33. Calculate s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 53*m - 203 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3.9. Suppose 0*h + 8 = -2*h. Let k = -3 - -3.1. What is the nearest to k in q, h, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k + 11. Let t(n) be the second derivative of 11*n**3\/6 + 11*n**2 - n - 39. Determine -7*p(l) + 3*t(l).\nAnswer: -2*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:03 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, 75 in descending order.\nAnswer: 75, 19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156.58 - 156. Sort 0.1, n, 0.5 in descending order.\nAnswer: n, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3*t - 3 + 0 - 10 to the form l*t + b and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*(40\/(-25) - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(0 - -1). Let f = -1104 - -1095. Which is the closest to 0.1? (a) f (b) g (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 4*p - 20, -33*p + 35*p + 22 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 23. Let z be v\/(-15)*-383*5. Let i = 1401 - z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 d when four letters picked without replacement from {y: 1, r: 3, d: 6, a: 3, v: 3, g: 1}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4391 take away 212?\nAnswer: -4603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10926.735 rounded to the nearest one hundred?\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12076945121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -511*o - 301*o - 1243*o to the form x*o + z and give x.\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9714, 19464, 29214, 38964?\n\"Answer: 9750*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 8*u**2 - 7*u - 127. Let k be x(10). Let j(d) be the first derivative of -16\/3*d**k + 4*d**4 + 0*d**2 + 12\/5*d**5 + 0*d - 8. Factor j(o).\nAnswer: 4*o**2*(o + 2)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/8, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6185 and 5.\nAnswer: 6185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*m - 2*x - 2, -3*m = -4*x - 30. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204 - -206. Calculate the common denominator of 11\/(-6)*(-26)\/4 and (-552)\/28*g*2\/(-36).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 6*l = 110. Solve 0 = -6*a - l - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3\/3 - 3243063*p**2 + 1577618318989*p + 946571380561\/3 = 0. What is p?\nAnswer: -1\/5, 972919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.501092644 rounded to 2 decimal places?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:25 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91.43 - -91. Let q = -0.03 - n. Let y be -2*(-9)\/(-18)*(10 - 17). Sort y, 2\/9, q in ascending order.\nAnswer: 2\/9, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -42, -2\/243, 4 in increasing order.\nAnswer: -42, -0.5, -2\/243, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 13) in base 5?\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353984 is divided by 9315.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2. Let r(i) = -136*i + 144. Let w(p) = -p - 16. Let x(z) = 2*r(z) + 18*w(z). Determine x(m(v)).\nAnswer: -870*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 29594 = 30410 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 5*j + 10. Solve 4*p = j*t - 10, 5*p = 4*t - 9*t - 50 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (sqrt(625)*2)\/(sqrt(55)\/sqrt(44)) + -1 + 1.\nAnswer: -3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 1944995?\nAnswer: -1945000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*z + 30, 13 = 2*z + z - c. Suppose 2 + 23 = z*i. Suppose -2*t - 95 - 5 = 5*g, -75 = i*g - 3*t. Are g and -18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 2414*t**2 + 4825*t**2 - 2410*t**2 + 1. Let h(w) = -4*w**3 - 2*w**2 + 2*w - 3. Calculate 2*g(f) + h(f).\nAnswer: -4*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w**3 - 4*w**2 - 17. Let y(d) = -8*d**3 - 2*d**2 - 8. Suppose 5*h + 1 = -3*z - 6, 2*z = 3*h + 27. What is z*m(o) - 13*y(o)?\nAnswer: 2*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31264*f + 35350?\nAnswer: 31264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 9594751\nAnswer: 2\/9594751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + u + 3*w - 1, 5*w - 11 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 778 + -738. Solve -36*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*j - 9, 33*v - 37*v - 5*j - 8 = 0. Solve -8 = 5*w + 4*i, 2*i + 5 + 1 = -v*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81.5 - 7.5. Let l = 74 - p. What is the nearest to l in 0.1, -0.3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1921056 is divided by 593?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2323095635 to the nearest integer?\nAnswer: 48199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -8) + -2 + (-3 - -4) + -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 7*m**2 + 1. Determine p(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - i**3 + 2*i**3)*(-35*i**2 - 2*i**2 - 22*i**2).\nAnswer: -295*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616120254 and 2494?\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.972897 weeks to minutes.\nAnswer: 29966.80176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/64)\/(((-126)\/12)\/7).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14013, -14005, -13993, -13977, -13957, -13933, -13905?\n\"Answer: 2*n**2 + 2*n - 14017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n + 3. Calculate w(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*a + 4428 = 1020*a for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 - 7*x**2 + 2*x - 19*x**2 + 161 - 43*x**3 - x**2 + 41*x**3 to r*x**2 + b + z*x**3 + c*x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -85 - -77.6\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 475302 and 80.\nAnswer: 19012080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = -27*x + 180 - 420 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.88 (b) 0 (c) 0.1 (d) 4 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -5*m**4\/12 + m. Suppose 5*v - 25 = 5*k - 10, -3*k - 17 = -5*v. Let a(i) = -v + 0 + 4 + i. Calculate s(a(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/59 or -33892.8?\nAnswer: -33892.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**3 - 190*g**2 + 1600*g + 4000 = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14974 divided by -91551\nAnswer: -14974\/91551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-15) - 1\/5. Suppose 5*p - 5 = l, -4*x - 5 = 2*p + 1. Put x, -5, 5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -16*w + 42. What is m(5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 4967202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3994, -15992, -35990, -63988, -99986?\nAnswer: -143984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1128 + 1127.8. Let f = 21 - 22.3. Let y = f - -0.3. Which is the nearest to i? (a) -2\/3 (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1868 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93138 and 4902?\nAnswer: 93138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - (-5 + 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 4*n - 3. Let o(i) = -i**2 + 15 - 13*i + 14*i + 35 + 23*i. Let q be o(26). Give u(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.537 - 398.363. Let u = -428 - y. Let f = u - -21. Which is the nearest to -1\/4? (a) -0.3 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 23 - 1 = o, -5*p = -5*o + 65. Let y = 19 - o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 3185615.\nAnswer: 9\/3185615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -2\/7 (c) -0.02 (d) -0.03 (e) -207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1936409888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-30) - 3 - 20748\/(-4655)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 7*c**2 + c + 10. Calculate the least common multiple of 5 and y(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 997*k**3 + 1065*k**3 + 79*k**3 - 301*k**3 + 1305*k**3 + (5*k - 3*k - k)*(-4*k**2 + k**2 + 4*k**2) to l*k**2 + m + q*k + w*k**3 and give w.\nAnswer: 3146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 105 = -50 + 105 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:48 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335035 is divided by 1971.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/79 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (-2684)\/242)*-55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179159261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29*2 + (2 - 0). Suppose -t + 25 = 4*r - 76, 0 = 4*t - 20. What is the greatest common factor of r and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 19\/25, -5\/2, -10758 in ascending order.\nAnswer: -10758, -5\/2, 19\/25, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2506 * -0.13.\nAnswer: 0.032578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*h = 1, 3*h - 17 = 16*j - 11*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 15*v - 4*r - 316, -419 = -4*v + 3*r. Solve 102*x = v*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 18. Suppose 10*q**2 - m*q**4 + 4*q**2 + 7*q**4 + 7*q**5 - 8*q + 4*q**3 + 2 - 3*q = 0. What is q?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 633 divided by -1\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 46. Suppose 2*f + 16 = d*f. Let w(n) = n**2 - 4*n - 1. What is w(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -503*m - 8922 + 1377 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -153609, -153613, -153619, -153627, -153637, -153649, -153663?\n\"Answer: -y**2 - y - 153607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*a, -3*a - 6 = -4*z - 8*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 27. Suppose 2*m + 3*f + t = 4*m, -4 = -2*m - 2*f. Suppose -6*i + 3*i = 0. Sort m, 3, i.\nAnswer: i, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3334475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/615 and 71\/492.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 92751928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 4*r**2 + 2*r**2 + (-4*r + 3*r - 3*r)*(2*r + 161*r - 18*r)*(-4 + 1 + 6) to g*r**2 + t + b*r and give g.\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w**2 - 5*w + 9. Let h(t) = -15*t**2 - 4*t + 11. Let a(q) = 6*h(q) - 7*n(q). What is a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-78))\/((-788)\/(-18912))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30341 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 7 - 71 = 10*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*y - 2*x + 46, 107 = 2*y - 5*x. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/3248 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/3 + -3)\/(38\/(-247)*-13 - -10).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 35*o - 62*o + 39*o + 2 - 20. Let a(j) = j - 1. Let z(u) = 2*u**2 + 15*u + 8. Let v be z(-7). Give v*y(i) - 18*a(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2472020?\nAnswer: 2, 5, 123601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*d = 3243, -24*d - 3247 = -4*o - 25*d. Suppose 5*y - o + 677 = 0. Solve -4*x + 3 = 4*i - 25, 0 = -5*x - 3*i + y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 8*i + 10. List the prime factors of o(-7).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (22 - 21) - -31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31830976?\nAnswer: 2, 239, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 19*n - 6. Let z(i) = -56*i + 17. Calculate -17*j(p) - 6*z(p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -21480, -3.\nAnswer: -21480, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136316902 - -64.\nAnswer: -136316838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*u*v**3 - 2*u*v + 3*v**3 - v - 52 wrt v?\nAnswer: -402*u*v + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -39.6. Let r = o - 15.471. Round r to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*k**2*v**3 + 13*k**2*v**2 + 2*k**2*v wrt v.\nAnswer: -834*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 1, c: 1, k: 2, f: 2, e: 1}. Give prob of picking 1 k, 2 s, and 1 e.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:12 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 20 + 35. Let i be -3 + (-5)\/(-1) - -1. Solve w*p + 19 = 4*n, -i*n + p - 9 = 5*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 6. Suppose -49 = -0*h + 7*h. Let i be d(h). What is the greatest common divisor of i and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 71*x**2 - 144*x**2 - 7 + 77*x**2 + x**3. Let s be i(-3). Solve -s*p + 8 = 0, 3*o + 2*p - p - 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 3*d**2 + 4*d**2 + (-5*d**2 + 3*d**2 + 3*d**2)*(47 - 82 - 8) - 4*d - 2*d**2 + 4*d.\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -8. Let u be (-1 - (5 + -3) - -1)*3. Let v = x + u. Is 2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - 2 + 2 + (22 - 22 + 9*o)*((-2*o - 2*o + 2*o)*(1 + 0 - 2) - 2*o - o + 2*o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -379750 (base 16) to base 10.\nAnswer: -3643216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15264 and 40?\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/25728 and -59\/24120.\nAnswer: 385920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24574 - -24575. Let f = -4.9 - -0.9. Put i, 0.7, f in decreasing order.\nAnswer: i, 0.7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*-3*-2)\/sqrt(10).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, t: 2, x: 2}. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000619 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006415988 rounded to 5 decimal places?\nAnswer: 0.00642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, -2\/185, 1.28, 32?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8289, 8240, 8159, 8046, 7901, 7724, 7515?\n\"Answer: -16*k**2 - k + 8306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 19. Suppose -3*x + p = 2*p - 63, -92 = -4*x - 4*p. Let l = 6 + -3. Solve -4*h = l*n - x, 4*h - 27 + b = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -17. Let o = -18 - b. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j*j**(-2\/5)))\/j*j)\/j)**11*(j*j**(-2)*j)**23 assuming j is positive.\nAnswer: j**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012220010122121 - -12?\nAnswer: 1012220010122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 526*x. Let f(y) = 3*y. Determine -4*a(v) + 36*f(v).\nAnswer: -1996*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 20*p**2 - 32. Let z(a) = 4*a**2 - 6. Let u(r) = 3*s(r) - 16*z(r). Let x(w) = -51*w. Calculate x(u(i)).\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 319 - 317. Solve -22 + 26 = -l*d + b, 2*b = 3*d + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 2)*(4 - 4 + f) - 67 - 5*f + 67 - 3 - 2*f + 3)*(-2*f**2 - 3*f**2 + 4*f**2).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7403 is divided by 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12244.\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 97 + 7*h**3 - 24*h + 7*h**3 + 4*h**3 + 20*h**2 - 19*h**3. Let l be s(19). Solve 3 = y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/157 (b) -1\/7 (c) -2 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**3 + 9*r. Let b(o) = -o**3 - o. Calculate -2*a(w) + 6*b(w).\nAnswer: 2*w**3 - 24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*t + 92, -353*t + 47 = -350*t - 5*a for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 524 = 30*w, 8360*w + 86 = 8355*w - i for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 32 (c) 4\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7852\/143193 or 1?\nAnswer: -7852\/143193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209829901*b**2 + 169846*b - 100 wrt b.\nAnswer: -419659802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.98 + -0.02. Let m = t - -8. Are 13 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 30*m**4 + 991*m**3 - 991*m**3 - 7*m - 3*m**4 as u*m**4 + c + o*m**2 + x*m + r*m**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/9)\/(2\/105). Suppose 4*z = -z + m. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28224 - 28226. Let c(l) = -11*l + 2. Let n(d) = -d**3 - 4*d**2 + 6*d. Let k be n(-5). Let s(o) = 5*o - 1. What is h*c(q) + k*s(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28018 (base 12) to base 15.\nAnswer: -115cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674875.\nAnswer: 5, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 1. Let q(v) = -3*v**3 + 4*v**2 - v + 1. Determine q(x) + 4*t(x).\nAnswer: -3*x**3 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3, -42 = 230*u - 249*u + 5*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -12171.\nAnswer: -10\/12171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -6)*(-4)\/6. Let d(g) = g**2 + g - 2. Let t be d(s). Suppose t = -0*l - l + 3. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -7*h - 389 + 398, 4*y - 40*h = 3*y - 75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 14598?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1*c)**(-17\/2))**(-2\/77) assuming c is positive.\nAnswer: c**(51\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 29*o - 20. Let t be l(-10). Let u = t - 4068\/11. Which is the nearest to 0? (a) u (b) 9\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*7\/28*-14*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 122434?\nAnswer: 122442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - p + p + (p**2 + p**2 - 4*p**2)*(-2*p + 0 + 0))*(-13726 + 7111 + 7344).\nAnswer: 4374*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/14 + (6 - 12828\/(-7))?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20322082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.34, 3\/2, 0.2, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 7) to base 10.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9568*b**4 + 10*b**3 + 914597 wrt b?\nAnswer: -38272*b**3 + 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 195\/7*j**2 - 3\/7*j**3 + 3\/7*j - 195\/7.\nAnswer: -3*(j - 65)*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 3, l: 6, b: 1, g: 1}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 599*n + 36122. Calculate z(-68).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -44241076743081.\nAnswer: -44241076743081.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3973737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 23*l - 2. Let r(o) = -3*o**2 + 23*o + 2. Calculate -4*p(a) - 3*r(a).\nAnswer: a**2 + 23*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12695?\nAnswer: 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -g + 74, 5*o = -2*g + 17 + 106. What is the greatest common factor of 250 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 3*k + k**2 - 6*k + 0*k**2.\nAnswer: -k*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.3022 or -23.6?\nAnswer: -2.3022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/2 + 17660*c + 31187560.\nAnswer: 5*(c + 3532)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19372 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10350\/(-368))\/(-9)*(4\/(-6))\/(12\/(-48))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 445. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:12 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4727 and 39.\nAnswer: 184353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-9512)\/(-290))\/((-4)\/(-2))*(-1)\/4\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0948 and -0.4?\nAnswer: 0.03792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((1*-1*sqrt(132))\/sqrt(11))\/(sqrt(484) + sqrt(484)*-3*-5))**2.\nAnswer: -154877\/30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -666 - 666 + 1317*q + 1333 to h + p*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497195900 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/12 - t**3\/3 + 2*t**2 + 9*t. Determine s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7854 and 23\/56287.\nAnswer: 337722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29041418?\nAnswer: 2, 7, 67, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6034*m**6 + 10399*m**3 + 15019891*m**2 + 6*m.\nAnswer: -724080*m**3 + 62394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45506884 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/7)*a)\/a)\/a**(-10\/9))\/((a*a**15)\/(a*a\/(a\/(a*a**(-1))*a)*a)) assuming a is positive.\nAnswer: a**(-794\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40926308893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 776\/5 + -191582\/1235. Let f = -121096868\/7 - -299109477887\/17290. Let v = q - f. What is the common denominator of v and 91\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/8 + 2*h**3\/3 - h**2. Determine t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141032?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0 + 4. Let b be x\/7 - 60\/(-14). Solve 3*d + 0*f + 3*f - 12 = 0, 0 = -b*d + f + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 2, q: 2}. Give prob of picking 2 c and 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(2 - (-2)\/(-4)). Let q be 6\/(-21) - 128\/(-7). Calculate the greatest common divisor of y and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**2 + i**2 + 3*i**2 + (2*i**2 - 3*i + 3*i)*(0 + 0 + 1))*(0*i - 2*i - 4*i) in the form v*i**3 + l*i**2 + n*i + z and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*a**3 - 21*a**3 - 44*a**3 - 30*a**3 - 9*a**3.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let a = -1 - -0.9. Let i = 31 - 35. What is the closest to a in 0.5, y, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 11*a - 15 = -5*j, 2*j + 5*j + 17*a - 81 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/588*69300\/135?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3515.63*29.7\nAnswer: 104414.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3)*l*l)\/l)**(3\/7)*((l*l**(-6\/5))\/l)\/l**(5\/6))**5 assuming l is positive.\nAnswer: l**(-607\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 28710.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10164 divided by 44\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167232356 - 506126 = 330*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 12:13 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a factor of 1040842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 889.5002 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:17 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 20*t + 24*t + 11*t**3 - 44*t**2 - 44*t + t**4 - 13*t**3 in the form z*t + d + u*t**4 + k*t**3 + g*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 + l**2 + 4*l**2 + 5*l + 2 + 0*l**2 - 4. Let j(w) = w**2 - 4*w + 1. What is -2*a(i) - 3*j(i)?\nAnswer: i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3149 + 217277\/69. Let q = -985109 + 475807813\/483. Let r = q + n. Which is the nearest to 1? (a) 2 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 5*z - 1 + 0 - 3 + 0. Let n be f(2). Which is the third smallest value? (a) 4 (b) -1 (c) 3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, -19, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6313059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 896 = n, -891 = -5*s + 2*n + 2*n. List the prime factors of s.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -3, -0.04888, 1, -5, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -902 and 38333?\nAnswer: 39235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-22)*(3 + (-33)\/9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 3*r. Let y(a) = -3*a. Give b(y(i)).\nAnswer: -18*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299*a**5 - a**4 - 10239*a**3 - 980466*a**2?\nAnswer: -17940*a**2 - 24*a - 61434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*j**2*w**3 + 8833*j**2*w**2 - 2*j**2*w + 7*j*w**5 - 3*j*w wrt w?\nAnswer: -246*j**2 + 420*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 29, -0.1, 0.5, 372?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*s - 114 = 0, -n = -2*n - 2*s + 18. Let b = n - 10. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 188, 283, 378, 473, 568?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.72 and -352.\nAnswer: 4125.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -9, -1\/3, -164 in decreasing order.\nAnswer: 1, 0.4, -1\/3, -9, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(0 + 6*sqrt(14)\/sqrt(2)) - ((sqrt(1008) + 1)**2 + -5 + 4 + -4).\nAnswer: -1005 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = -35. Suppose m*f = -c + 7 + 16, -4*f = 5*c - 83. Solve -o = 4*o + 3*t - c, 15 = 2*o + 3*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 18472.\nAnswer: 55416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25\/20 - 2)\/(3\/(-4)). What is the nearest to 1\/2 in 3\/2, i, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(4 + 1 - 3)*(-2*r**2 - 9 + 9) in the form k*r + h*r**2 + l and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 56015.\nAnswer: 47\/56015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 4)*(-3*b - b + 2*b) + b + 3*b - 3*b)*(6 - 1 - 2).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 3, -22, -4\/133, -4 in increasing order.\nAnswer: -22, -4, -4\/133, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*o + 5*h, -3*o = -7*o - 4*h + 100. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10101011?\nAnswer: -10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1489, 14, -1 in decreasing order.\nAnswer: 14, -1, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/(-2))\/(-3) - (-5)\/(-10). Let t(v) = -v**3 + 7*v**2 - 2*v + 10. Let x be t(7). Let j = 1 - x. Put g, 1, j in increasing order.\nAnswer: 1, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.047, -0.5, 151 in ascending order.\nAnswer: -0.5, 0.047, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147) - (sqrt(147) + 0 + -5) - sqrt(147)))**2 + 5.\nAnswer: -112*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -412, -589, -732, -829?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 52 = s, -s - 4*x + 37 = 107. Let z = s + 61. Let v be (1*z\/(-2))\/(4\/14). Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(112))*-2*1)**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-1\/15)*d)\/d))\/d*d*d\/(d*d**(-3))*(d*d**(2\/7))**(-24\/7)*(d**(-1)*d**(3\/7))**42 assuming d is positive.\nAnswer: d**(-18724\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 rounded to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*i**3 + 28*i**4 - 55*i**3 - 2*i + 2*i + 3 - 59*i**3 to v + j*i + a*i**4 + h*i**2 + u*i**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a - 5. Let r be k(-4). Suppose -5*m - 2*z = -60, 0*z - z = -4*m + r. Suppose -10 = -2*v - 6*h + 3*h, 59 = 5*v - h. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -559\/4 + 45251\/324. Let n = f - -83\/648. Is 1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31 (b) 1\/3 (c) -4 (d) -1 (e) -4\/27 (f) 102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 68 = -6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v + 2. Let g(o) = o - o + 6*o - 5*o. Calculate j(g(w)).\nAnswer: 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y - 9*y - 6*y = 285 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2330991 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 3*w + 2. Let o be m(-3). Suppose -9*s + 7*s = -0*s. Suppose s = 4*p - 3 - 13. Solve -2 - o = p*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(10\/(-36) + 512\/(-36) + 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 105, -8117 in descending order.\nAnswer: 105, -2, -8117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52\/63 + 10\/9. Let y = -16.78 + -0.22. Let m = y - -13. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350759 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 632 (base 8) to base 13\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doy when three letters picked without replacement from {d: 1, m: 2, e: 1, y: 1, o: 1, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -137*b**2 + 7812*b - 107. Give v(57).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -8*n - 37, -4*a - 124*n + 125*n = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - -3.3. Let v = 1573 - 1565. Let f = 33\/2 - 16. Sort f, v, h.\nAnswer: f, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*m - 37. Suppose m*s - 18 = -36. Let x(o) = o**2 + 1. Let f(w) = 4*w**2 - w + 8. What is s*x(v) + f(v)?\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/6*(1 - 0). Suppose 2*s + s - 2*j = 143, -52 = -s + 5*j. What is the remainder when s is divided by 1 - h - (-13 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:18 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {c: 1, j: 2, i: 2, t: 3, y: 2, d: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 14 + (13 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28239b (base 13) to base 2.\nAnswer: -11101110010011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -48 - 56*u**2 - 12 + 54*u**2. Let o(v) = 11*v**2. Give o(h(n)).\nAnswer: 176*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 10\/(-4))*-6. Let z = -433 - -436. Calculate the highest common factor of b and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/9)\/(a*a\/a**(-2)*a))\/(a**(5\/3)\/a**(-1\/4)) assuming a is positive.\nAnswer: a**(-245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:38 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)**(-10))**(-45) assuming t is positive.\nAnswer: t**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 401425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/44 - 236055\/(-55). Suppose 6*z - 10*z = -s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35049 - -35045. Let q(p) = -19*p - 34. What is q(s)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15260 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 i when four letters picked without replacement from {u: 3, i: 1, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 101. Suppose j = 5*k - 13 - 7, 5*g + 3*k = -13828. Let r be 39375\/(-15)*g\/6. What is r rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1521123 - 701123. Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(-2*z - 2 + 2) + 748 - 92*z - 748)*(2*z - z**3 - 2*z).\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**5 - 2*t**5 + 3*t**5)*(-3 + 0 + 1) + t**5 - 2*t**5 - 2*t**5 + (t - 3*t + 3*t)*((0*t + 3*t - t)*(-3*t**3 + t**3 + 0*t**3) + 0*t**2 + t**4 + 0*t**2).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -456609, -456633, -456683, -456771, -456909, -457109, -457383, -457743?\n\"Answer: -2*t**3 - t**2 - 7*t - 456599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127427822.\nAnswer: 2, 3, 47, 148073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 55. Suppose -196 = x - 6*x + 4*y, 2*y = 2*x - l. Let o = 126 - x. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*w - 283*w = 112*w - 3834 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -12*m**3 + 232*m**2 - 76*m = 0.\nAnswer: 0, 1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5264914.\nAnswer: 2, 53, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*k**2 + 129*k.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14408 divided by -1994\nAnswer: -7204\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 314547590 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1787026 (base 9) to base 3.\nAnswer: 1212221000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/4))\/j)\/(j*j*j**(-2\/47)\/j))**(-10\/11) assuming j is positive.\nAnswer: j**(1135\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(24\/30)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95896.13ml?\nAnswer: 95.89613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(1 + 6\/9). Which is greater: l or 33\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23246124 to the nearest integer?\nAnswer: 4821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**2\/2 + 2*d - 3. Let f be b(-7). Let s be (f - (-4 + 2)) + 7. Is 5 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35 from -0.00204.\nAnswer: 34.99796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8182 or 3132?\nAnswer: 3132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1677.\nAnswer: 1\/1677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 3120.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 801858076*o**5 - 34081534*o**2 - 1?\nAnswer: 48111484560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51852, 51854, 51856, 51858, 51860, 51862?\nAnswer: 51864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 6. Let l(u) = 7*u + 28. Let w(j) = -2*j - 7. Let y(k) = 2*l(k) + 9*w(k). Let n = 2 - 7. Give n*y(f) + 6*r(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 16 = -115. What is the least common multiple of 33 and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 124*t + 131*t + 10.\nAnswer: 255*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 9*f**2 + 6*f - 11. Let i be (-1 - 60\/9) + (-8)\/(-12). Let p be u(i). Suppose o = 5*o - 5*y - 65, -5*y = -3*o + p. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1348.8 + -1349. Which is the closest to 4? (a) 1\/5 (b) -0.049 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)\/j)\/j)**(6\/7)*j*j**(-8)*j*j*j**(-8)\/j*j)**(30\/13) assuming j is positive.\nAnswer: j**(-3270\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 1\/2, -559, -28\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02012546 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 10 = 10. Suppose 5*s - 21 = 2*t, l*s - 4*t = 3*s + 9. Solve 2*z = 4*m - 8, 4*m + 8 = s*m + 3*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + 1443*z - 8641. What is n(6)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-6 - -11)\/(-225) - (-29)\/63.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 0.265 (c) -0.3 (d) -28 (e) -2\/9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/50)\/((5 + -2)\/15). Let d be 1*(24\/10)\/(-2). Suppose 2*m - 6 = 5*m. Which is the second biggest value? (a) s (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 + 4\/(-18). Suppose r*x + 2*x - 22 = 0. Let p(b) = -10*b + 1. Calculate the remainder when p(-2) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7744 by -64.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010543792 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, w: 9, o: 2}. Give prob of sequence mo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4410 and 108549.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.65 - -7.6508596. Round o to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 4\/5 (c) 4\/3 (d) 165951 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 206 and (-104468)\/(-169) - (-6)\/(-39)?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 14\/(-10))\/((-1)\/20). Let r(y) = -y**2 + 11*y - 21. Calculate the smallest common multiple of r(z) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56315 and 9835?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-1) + 2*32382\/14?\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6253 or 1024?\nAnswer: 6253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.436 + 0.136. Let i = u - -8. Which is the nearest to 0.1? (a) 3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = r, 357*r = 352*r - 3*i + 4. Let h(n) = 2*n**3 + 7*n**2 + 6*n. Let d(b) = b. Calculate r*h(p) + 6*d(p).\nAnswer: -2*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) 4\/9 (c) -16 (d) -12 (e) 1 (f) 3 (g) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1754*u**2 - 10*u - 389129 wrt u?\nAnswer: -3508*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10161 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(3*i - 3*i - i) + 24*i + 60*i - 17*i - 3*i - i + 8*i.\nAnswer: 69*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 21\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/20 and 125\/8092?\nAnswer: 40460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**2. Let n(d) = 1360993*d**2. What is z(n(f))?\nAnswer: -11113811676294*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -35*s + 4. Let h be c(3). Let z = 4800 + -4699. Let d = z + h. Solve 2*i - i + 5 = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 1. Let k(a) = -2*a + 4. Let h(c) = -2*k(c) - 2*o(c). Let z be -1 - ((-1)\/1 + -5). Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {v: 2, c: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -12. Let s(v) = 12*v**2 - v + 2. Let b be s(1). Let m = 51 + b. Calculate the highest common factor of g and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -15*d - 3. Determine m(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*i + 18, -2*q + 24 = -2*i + 6*i. Suppose q*t + 2 = 5*c, 10*t = 5*t + c + 18. Solve -2*j + 4*z - 20 = 2, t*j + 8 = -z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-25) + (-1353)\/(-5). Let p = h - 193. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 + 450. What is the highest common factor of f and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365155828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*c**3 + 25*c - 1987?\nAnswer: 36*c**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 248*v - 167. Determine m(0).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let j(a) = 3 - m + 1 + a**2 - 4*a. Let u be j(6). Solve 0*v + 5*v - u = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -6 - (-15)\/(-3)) + 2. Is -4\/149 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q. Which is the closest to q? (a) 0.1 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -4 - (13 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33440476189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l - 7. Suppose -9 = -4*n + 3, 5*n = 4*p + 51. What is the remainder when j(p) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12*f = -76, 15*f - 18*f = -3*c + 3. Let w(p) = -p**2 + 9*p + 7. What is w(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.09 + 20. Let c = y - -0.49. Put -1\/10, c, 0.5, 0.2 in increasing order.\nAnswer: -1\/10, 0.2, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*x - 1 + 14, -5 = 2*x - 5*m. Let n(f) be the first derivative of f**2\/2 - f + 2. What is the units digit of n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-200)\/(-14 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3750693, 7501389, 11252085?\n\"Answer: 3750696*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199011023?\nAnswer: 199011023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 1)*(m - 23 + 23)*(-3*m - m + 3*m) to the form y*m**2 + p + s*m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37665*q - 75183*q + 37723*q.\nAnswer: 205*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-22760)\/(-800)) + (-5)\/(125\/(-80))\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -u - q + 1, 5*u - q = 68. Which is the third smallest value? (a) 0.4 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/23)\/((r\/(((r*r**(19\/4)*r*r)\/r)\/r))\/r)*r\/((r\/r**(29\/4))\/r)*r**0 assuming r is positive.\nAnswer: r**(323\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 29*b - 6 + 30*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8, -2*i - y + 13 + 1 = 0. Let h be i*12*(-350)\/(-1). What is h rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 192224394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398877404 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 1241 (c) -3 (d) -0.004\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39264)\/(-34356))\/(2*3\/(-210)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286.33 litres in millilitres?\nAnswer: 6286330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:07 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -104 (c) 1\/3 (d) 0.3 (e) 5 (f) 1\/288 (g) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.049 * -18.\nAnswer: -0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.208964 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3 - -29) + 9 + -5 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 12*d**2 - 17*d + 3. Let b be x(-13). Let o be (3 - (-5)\/(-3))*45\/(-6). Let h be (-31 - 2)*o\/15. What is the highest common factor of h and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 18 = 3*o, 2*y = 4*o - 0 - 12. Put 9, -2, -2\/3, y in ascending order.\nAnswer: -2, -2\/3, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 4*w**3 - w**3 - w**3 + 0 + 0 + (-w + 4*w - w)*(3*w**2 - w**2 - w**2) - 12*w**3 - 7 + 7 to z*w**2 + g*w + b + u*w**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 5. Let o(s) be the first derivative of s**2\/2 + 3*s - 9. Let c(h) = 5*o(h) - 2*z(h). Let m(t) = 4*t + 21. Calculate 9*c(k) - 2*m(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 1. Let q = 11 - 10. Let k(i) = 4*i + 6. Let f(r) = q*k(r) - 6*s(r). Let p(n) = -10*n. Determine p(f(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 4*g**2 + 3*g. Let z be s(2). Let n be (-4)\/z + 8\/12. Solve 4*w = 4*c, n*w - w - 5*c = -30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 2*y**4 - 44 + 42 + 5*y**3 - 3*y**3 - y**2 - 4*y as v*y**2 + r*y + c*y**4 + q*y**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3307*i**2 + 3420*i**2 - 6715*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 151\/9 + 10\/45. Let t = f + -2. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1520*h + 5. Let n(s) = 4561*s + 18. Give -2*n(v) + 7*w(v).\nAnswer: 1518*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409125 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 9 (c) -3 (d) -16\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 48 = 9*v. Suppose -v*n - 280 = -10*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2160690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 1154?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-5*11\/(-110).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -134 (b) 0.9 (c) -1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 33*j**3 - 9*j**2 - 9*j + 17. Let c(s) = -8*s**3 + 2*s**2 + 2*s - 4. Let a(f) = -18*c(f) - 4*v(f). What is the first derivative of a(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:42 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 3. Suppose -4*k + 4 = -x*k. Let q(w) = 0*w**2 - 63*w + 34*w + 28*w - w**2. Let m(s) = 2*s**3 - 4*s**2 - 2*s - 2. Give k*q(u) - m(u).\nAnswer: -2*u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*n - 32*n**3 + 91*n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 12*u - 16. Let f be v(12). Suppose -f = -174*w + 172*w. Calculate the remainder when w is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:25 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 50*d = -84. Let i be (-40)\/15*d\/(-104). Suppose a - 3*a - 2 = 0. Are a and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 223 + 47. Let x(f) = -f**2 - 13*f - 31. Let t be x(-6). Is t < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/26)\/(48\/1560*-10).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 9*j**2 + 12*j. Calculate the smallest common multiple of 4 and n(9).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 72*a + 1262. Let h be g(28). Solve -h*t + 32*t = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o. Solve s + 1 - 2 = o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3656*t**3 + 7*t**2 + 9776*t**3 - 2*t**2 + 10634*t**3.\nAnswer: 16754*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k. Let x be (((-220)\/70)\/(-11)*14\/(-10))\/(-6). Let p(v) be the third derivative of 0 + 0*v**4 + 6*v**2 - x*v**5 + 0*v + 0*v**3. What is h(p(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -17. Let r be 3\/6 + -1 + -1. What is the biggest value in r, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.857 - 0.81. What is j rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.47 - 4.3. Let w = -191.5 - -189. Let j = 0.5 + w. Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 25. Let f be o(0). Suppose -3*x - f = -8*x. Suppose z = 4*p - 6, x*p = -4*z + 1 - 4. Solve b + p = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 + 0.3. Let u = k + -3.045. What is u rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 16*s**2 + 2*s + 9. Determine c(-16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-60) + (-4)\/6. Let u = 362.8941 + 0.1059. Let i = 362.9 - u. What is the smallest value in r, i, -0.9, -0.4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 248\/84967?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 5:08 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/12 + 3*o**2. Let a(t) = 3*t. Determine m(a(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = -24*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -62*r + 37*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*m - 2 = -18, n + 3*m = -12. Let w be n\/(-3) + 8\/18. Let h be (-8)\/3*6\/(-8). Put 4, w, h in decreasing order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*c - 3*f, -6*c - 499*f + 26 = -503*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-5 - (-2 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 544*o**2 + 533*o**2 + 539*o**2 - 1573*o**2 + 12 to p*o + w + n*o**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.67 times 16\nAnswer: 26.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 12*l + 2. Let h be o(11). Let k = 35 - h. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.523598 minutes to microseconds.\nAnswer: 511415880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -453 - 1105?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1) + 8 - -4. Let q = -1 - -5. Suppose -3*w + 348 = 3*t, q*w = -0*w - 2*t + 466. What is the highest common divisor of l and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 0) + -3*((-400)\/(-30))\/(-5). Let g(u) be the first derivative of -5\/2*u**s - 13 - 3*u + 1\/3*u**3. Give g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, -261 in descending order.\nAnswer: 12, 4, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 97*i**2 + 322*i + 325. Give r(-45).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 = -96*n + 45*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-4 + sqrt(468))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*x + 2. Let s = x - -10. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11065 + 26094. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*36\/(-8). Suppose 0 = -5*m + 2*n + 54, n = -g*m - 2*n + 24. Put 1, -3, m in ascending order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(605) - -3*sqrt(605))**2 - sqrt(5) - (3 + sqrt(5) + 1)) + ((sqrt(5)*1)**2 + 4 - (0 + sqrt(5) + 1)**2) + 2.\nAnswer: -9679 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(2057) + 3*(sqrt(2057) + -1) + sqrt(2057) + -3 + (sqrt(2057) + 1 + sqrt(2057) - sqrt(2057)))**2.\nAnswer: -740770 + 6600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 27, -3, 118\/2423 in ascending order.\nAnswer: -3, 118\/2423, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, -22, -76, -128, -172, -202, -212, -196?\n\"Answer: a**3 - 8*a**2 - 33*a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.207171 rounded to 2 decimal places?\nAnswer: 5.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57.37882km?\nAnswer: 57378820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**6\/40 - w**5\/20 - 5*w**4\/8 - 3*w**3\/2 - 170*w**2. Solve d(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(480))\/sqrt(6).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 368 - 243 = 0. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10 - 100. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z. Suppose 6*g - 9*g - 42 = t, 3*g = -15. Let y(n) = -36*n - 27. Let o(u) = -5*u - 4. Let r(q) = t*o(q) + 4*y(q). Determine f(r(l)).\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 = -3*b, -8 = -1646*b + 1641*b - 3*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56\/297 - 2\/297. Let j = 323.4 - 323. What is the closest to o in -0.5, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 335 = 4*b - 1029, -3*b = 2*i - 1037. Solve -30 = 349*p - b*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*k**3 - 4*k**2 + 22*k + 10 wrt k.\nAnswer: 858*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*a - 0*v + 36, -2*a - 87*v - 181 = -460 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 divided by -4?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4949 is divided by 355.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*n = 2*n + 14, 3*n + 13 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*t = 14339975, 4*l + 14276023 = t + 42955928. Suppose 3*q - 4*r = r - l, 5*r = q + 2389975. Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 + 1986*g - 5662. Give j(-400).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r. Let q(a) = 15 - 29 + 14 + 5*a. Let c(p) = p**3 - 8*p**2 + 2*p - 9. Let u be c(8). Calculate u*q(l) - 6*h(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 1. Let m(q) = 6*q - 9. Let w be m(2). Let a(d) = 3*d - 1. Give w*a(k) - 2*b(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose 2*r - 1 = 3. What is the nearest to 0 in y, 0.2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 423*l**3 - 4*l**2 + 12*l - 961. Let j(z) = -425*z**3 + 6*z**2 - 16*z + 960. Let w(q) = -3*j(q) - 4*x(q). What is the derivative of w(k) wrt k?\nAnswer: -1251*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 3 + 0)*(-3 + 0 + 2) + 0 + 0 - 3)*(39*a + 553 + 508 - 1002) to the form y + s*a and give s.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*u + 113*u + 524963 + 116279 = 0. What are the prime factors of u?\nAnswer: 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.4314 - -35.12. Round g to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14041)\/1478 - (7 - (2 - 2))*(-1)\/6\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w**2 - 104*w**2 + 768*w**2 - 478*w**2 - 93*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*j + 6*j**2 + 102*j)*(-12 + 9 + 21)*(2 + 4 - 3).\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t + 148*t - 41*t - 44*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 1, u: 2, w: 1, m: 2}. What is prob of picking 1 m, 1 t, and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a - 7. Let s be -4*(-12)\/16 - -10. Suppose s*z = 16*z. Suppose z = -6*u + 2*u. Determine p(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61081 by -6.\nAnswer: -61081\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 634986285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -45*o**2 + 2. Let g(w) = 66*w**2 - 3. Let y(q) = -5*g(q) - 8*k(q). Let x(a) = 20*a. Determine y(x(t)).\nAnswer: 12000*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1495790 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00238 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a4 - -1?\nAnswer: 9a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.1, -0.8, -2\/305, 0.3, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*w - 16 + 6, 0 = -4*w + 3*o + 25. Let f = -7 + -21. Let m = f + 56. What is the remainder when m is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**2 - 2300*z + 43020 = 0?\nAnswer: -478, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957984 divided by 528?\nAnswer: 13178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + sqrt(76) + 3 + sqrt(76) + (1 + sqrt(19))*-4 - -6*((sqrt(304) - (-1 + sqrt(304))**2) + (sqrt(304) - sqrt(19) - sqrt(19))*-1).\nAnswer: -1831 + 62*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -40593004.\nAnswer: 4059300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1547 and 79\/254592.\nAnswer: 1782144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13319 + 13325.049. Let m = c - 0.049. Let d = m - 2. Which is smaller: d or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 2*f - 35. Let j(t) = -t**3 + 7*t**2 + 2*t - 10. Let c be j(f). Let p = -4.73 + -0.27. Sort p, -4, c.\nAnswer: p, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 285\/68?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) -1\/6 (c) -1 (d) 1 (e) 317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -86.2. Put 5\/4, 2\/7, 1, b in decreasing order.\nAnswer: 5\/4, 1, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 163*u + 14. Let d be s(8). Let p = -769 + d. Suppose 4*z = k - p, k - 3*z - 2*z = 547. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85782 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aga when three letters picked without replacement from gdaaadpadpabp?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 + 184 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/(2 - (-44)\/(-24)). Let u(p) = 1 + 4*p - p - 9 - 4*p. What is u(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2310\/(-115) + (-256)\/(-2944)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 97*c**2 - 46*c + 44. Determine q(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 w when three letters picked without replacement from cuqucuwyqywucwyqquy.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 24*y + 57. Determine w(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*d + 23, 0 = -2*z + d - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-25)\/(-2)) + (-760)\/(-100). Let c(l) be the first derivative of 5*l**2 - 15*l - 5\/9*l**3 - d. Suppose c(f) = 0. Calculate f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9251.986 millilitres to litres.\nAnswer: 9.251986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/12)\/s)\/s**(3\/4))\/(s**(-2)*s\/s**(-2\/5)))**11 assuming s is positive.\nAnswer: s**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 27\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 519.9413 weeks?\nAnswer: 3639.5891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = -5*z - 5*f + 192, 0 = 5*z + 63*f + 108 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-100)*((-405)\/(-18))\/(-9)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-69)\/(-1) + -12 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let x = 29066 + -29062. What is the nearest to p in 1\/3, x, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -385721.\nAnswer: -771442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 11. Is a(3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -161.098 + 161.07. Let h = -5.8 + 6. Which is greater: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u - 1. Let a(o) = o. What is 5*a(r) - k(r)?\nAnswer: -9*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -868, -1735, -2604, -3475?\nAnswer: -4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -4*n + 5*z, -3*n - 140*z - 48 = -142*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 387 - 387.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 16*x - 8. List the prime factors of j(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2473.187um to millimeters.\nAnswer: 2.473187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11\/6)\/p)\/p**14 assuming p is positive.\nAnswer: p**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n + 5*n - 2*n + 38 + 37 to the form m*n + q and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-819)\/(-13) + -123 - -121?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 21 - 4 = -c, -4*b = -5*c - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) 11\/13 (c) -21 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {u: 4, r: 3, d: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -15, -22622, -3 in increasing order.\nAnswer: -22622, -15, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2108 - 1381. List the prime factors of z.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/5, -0.416159, 5, -1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.77, 0.2, 1.1, -0.1, 0.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*t**2 - 25*t**2 + 23*t - 14*t**2 - 19*t**2 - 20*t**2 - 9*t**2.\nAnswer: -7*t**2 + 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -601489 + 1237700. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-9) - 2)*3. Suppose -4*z = 8*m - 8, -3*z - 369*m = -365*m - 6. What is the closest to 1 in -0.3, 0.05, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (1*sqrt(1377) + sqrt(1377))) + -4.\nAnswer: -9*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5484 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*g + 3*g. Find the first derivative of -8*m + 3 + 2*m - g*m + 3*m wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 v when three letters picked without replacement from {s: 15, v: 5}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = z. Suppose -3*m = -z*k + 52, 3*m + 32 = k - 0*k. Let y(t) = -t**3 - t + 4. What is the lowest common multiple of y(0) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z. Suppose 6*b - 48 - 102 = z. Suppose 594 = 2*p + 4*p. What is the remainder when p is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1055*s - 1413*s - 527*s.\nAnswer: -2995*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l - l**2 + 28*l - 14*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + m + 0*m + 12 = 0, -5*n + 3*m = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19192743863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7740 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130.7 - 131. What is the nearest to 1.7 in k, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*p - 7*p, -4*p + 15 = -t. Let u(b) be the first derivative of b + 2*b - 2 + b**2 - p*b. Find the first derivative of u(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2099334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -203 + 52315. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r**2 + 8. Let t(u) = -7 + 6 + 11*u**2 - 4. Give -5*k(s) - 8*t(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*h + 157*h + 35*h in the form d*h + o and give d.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -194 - 174.533\nAnswer: -368.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 218940 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19280 divided by -2\nAnswer: 9640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034497 to 7 decimal places.\nAnswer: -0.0000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.33196 to 1 decimal place.\nAnswer: -72.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 6*m - m**2 - 3*m + 1 + 17 + 0 in the form v*m**2 + x*m + g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -803519.113.\nAnswer: -803518.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*b - 4*b + 1638. Solve 15*a - b + 29*a + 0 + a**2 - 3*a**2 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177764*z**3 - 8*z**2 + 10*z + 5.\nAnswer: -1066584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*u - 272 = -46*u - 73*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -286822 rounded to the nearest one thousand?\nAnswer: -287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1994874 and 134653995?\nAnswer: 269307990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k**2 + 23*k - 55. Is u(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646834124?\nAnswer: 2, 161708531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 47528*z + 18369606.\nAnswer: 2*(z - 23371)*(z - 393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -3300 (c) -0.4 (d) -1 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15033 - 15038. Sort k, -11, 8, -3, 2 in ascending order.\nAnswer: -11, k, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1388*a**2*n - a*n - 2*a + 646*n + 6 wrt a?\nAnswer: 2776*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8723205 hours to microseconds.\nAnswer: 3140353800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65575001 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2637 is divided by 639?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*b = -113*b + 49*b + 4092. Let d = 11 + -5. What is the remainder when b is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466708*t + 29280 = -466342*t for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2821*l - 6220*l - 15821*l + 12871*l**2 + 16682*l**2 - 9713*l**2 - 625*l**3 + 5*l**4 = 0. What is l?\nAnswer: 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21328)\/(-155))\/86*-2*45\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36569.02 + -0.02?\nAnswer: -36569.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.19 (b) 51 (c) 8\/21 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -4*w**3\/3 + 4*w - 2. Differentiate v(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1442788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2914.9, 0.4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 - 0.2. Let y = 1.57 - p. Round y to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - 3*q**5 + 4*q**5 + (-q + q + 3*q**3)*(1 + 2*q**2 - 1) - 44*q**5 - 81*q**5 + 83*q**5 + 5.\nAnswer: -38*q**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095 divided by -3?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3be + 4?\nAnswer: 3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 25 + 3 - (-20 + (-24 - -45)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*q, 2*c + 7*q - 4*q - 20 = 0. Solve -c*i + 2 = -18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28364.1377 rounded to the nearest 100?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Let k(v) = -13001*v**2. Determine j(k(i)).\nAnswer: -26002*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60 (b) 8\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7207392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - -26) + (-23 - (4 + (-14 - -2)))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469342391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 179976474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/33 - w**4\/2 - 12*w**3\/11 - 8*w**2\/11 + 24. Let o(q) = 0. What is q?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 664*q**4 - 81*q**2 + 2*q + 345477 wrt q.\nAnswer: 2656*q**3 - 162*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 877367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 + -2 + -6) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(15*t**2 + 12*t**2 - 30*t**2 + 13).\nAnswer: 6*t**2 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52071.48 kilometers to nanometers.\nAnswer: 52071480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2195160, 4390327, 6585496, 8780667, 10975840?\nAnswer: 13171015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 688 divide 41437128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6*a + 55*a**4 + 156*a**3 + 93*a**2 + 31*a**5 - 193*a**5 - 148*a**4 = 0?\nAnswer: -1, -1\/2, -2\/27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(343))*-3*-5 - -5*(0 + sqrt(252)*-4)**2).\nAnswer: 105*sqrt(7) + 20164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207 - 114. Let m(r) = -49*r**2 + 2*r - 1. Let n be m(1). Let a = x + n. What is the greatest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 + -4589\/11. Which is the nearest to 1\/2? (a) -5 (b) 3 (c) p (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970*k - 2898 = 2131*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1374*o**3 + 99 + 436*o**2 - 1413*o**3 + 2835*o**3 - 8*o**5 - 44*o**4 + 160*o - 291 = 0. What is o?\nAnswer: -4, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 287*a - 10090. Give g(29).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22430 and -4.539.\nAnswer: -22434.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 261 = 2*q, -3*q - 7*t = -4*t - 387. Suppose 6170 = q*h - 121*h. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1786, -3575, -5366, -7159?\nAnswer: -8954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 b, and 1 x when four letters picked without replacement from xlxxbllxxxxlxx.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/27*(0 + -992 + -1)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953580963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 45. Let i(a) = a**3 + 20*a**2 + 21*a + 23. Is i(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14)*5)\/((-9)\/14*2).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7)*w)\/w)**40\/(w**(-1\/3)*w**18) assuming w is positive.\nAnswer: w**(-131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9\/(t*(t\/(t**(-9)\/t))\/t)*(t**(-2\/27)\/t)\/(t\/(t*t**2)) assuming t is positive.\nAnswer: t**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*i + 58*i**2 - 67*i**2 + 2*i + 5*i wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*(-14)\/(-644)*(-5)\/(15\/126)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 + 3*j**3\/2 - 2*j**2 - 3*j. Suppose 5*o - 5 = 5*y, 5*y = -4*o - o + 35. Is n(o) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by -46?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*q = -250*q + 271*q - 8074 - 8198 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 1 - 16 + 15 + j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*f + 2*n, -n + 20 = -2*f - 4*n. Let t = 34 - f. Calculate the remainder when t is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -21684*l + 27. Let c be j(0). Suppose 0 + c*k**2 - 3\/2*k**5 + 9\/2*k**3 - 6*k**4 + 0*k = 0. Calculate k.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - t**4 - 2*t**2 + 3*t**4 + 2*t**4 - 3*t**4 + (0*t + 0*t - t**2)*(0*t + 0*t - 4*t**2).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:59 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/14 and ((-1)\/(-1) - -15)*3\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -226 + 158?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*c**5 + 2*c**3*u + c**2*r*u + c*r*u + 4*c - 3*r*u + u wrt c.\nAnswer: -1060*c**3 + 12*c*u + 2*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q + 2*o, q = -o - 4*o + 7. Let k be (-2 + (-5)\/q)*-21. Let b(n) = -n**3 - 7*n**2 + n + 11. Let y be b(-7). Solve -y*h + k*h - 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 5*k - 18 = -4*w - 0*w, 0 = 2*k + 9*w - 58 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/1444)\/(-6*(-3)\/48).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/287, 3, 39\/4 in decreasing order.\nAnswer: 39\/4, 3, -2\/287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, -18548, -8 in descending order.\nAnswer: -0.41, -8, -18548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -5. Calculate the remainder when (-4)\/n + 1455\/21 is divided by ((-700)\/60)\/((-2)\/6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 109 - 8*v + 52 + 52 in the form i + l*v and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 4 - (-121)\/(-11). Let a = z - -29. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-6))\/(4\/8). Which is bigger: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 173*t**2 - 260*t + 23. Is l(29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -6*i + 36. Suppose 4*g - 18 = i*r, -3*g - 4*r = -0 - 1. What is the first derivative of -26 - 18*z**g - 17*z**3 + 33*z**3 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:55 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74, -107, -156, -227, -326, -459?\n\"Answer: -i**3 - 2*i**2 - 20*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = 4*x - 5, h - 13 = -4*x. Which is the third biggest value? (a) x (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 21*o + 2*o**2 - 3*o**4 - 2*o**3 + o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3522 - -95\nAnswer: -3427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j + 86*j + 252*j + 3585 + 2122 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.47925l in millilitres?\nAnswer: 87479.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*((-1 + sqrt(704))*1*-4 + ((sqrt(704) + 0)*2 + sqrt(704) + 2 + sqrt(704)*1)**2).\nAnswer: -270528 - 2304*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 7*n + 4*z + 2, 5*n - 13 = -3*z. Suppose 4*d + 4*l = n*d + 96, 0 = -4*d - 5*l + 207. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575526.\nAnswer: 2, 17, 149, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*c - 43, 27565 = -3*l - 5*c + 27614 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2.2, -1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t = -43*t - 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-11 - 1 - (-34 + 39))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -35*y - 927. Let l be k(-26). Let c(a) = 2*a**3 - 34 + 16*a**2 - 19*a - 3*a**3 + 2*a**3. Let q be c(l). Solve 4*f + f - 5 = q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -3*u - 0, 0 = -f + 5*u - 4. Let v = f + 1. Suppose 0 = 4*r - v*r - 2*n, 5*n - 35 = -2*r. Solve -r*d + 2 = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 at most 456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 53. Is 9 a factor of b - (1 + 1)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -39*z + 23. Suppose -4*n + 313 = 3*c, 3*c - 4*c + 117 = -5*n. Let h = c - 112. What are the prime factors of l(h)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2264*k**2 + 16. Let d = -64 - -107. Let u = 31 - d. Let c be o(u). Round c to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 6. Suppose 4*r = -r + 25. Let d(t) = -2*t - 7. Let v(i) = r*d(i) + 6*z(i). Calculate v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 + -100111110?\nAnswer: -110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:10 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 125645 to the nearest one thousand.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/2 (b) 0.5 (c) -2\/57 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 5*c**2 - 5*c - 12. Calculate a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 233117 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -200*l + 392. Give r(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89915, -359690, -809313, -1438784, -2248103, -3237270?\nAnswer: -4406285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.972383ml in litres?\nAnswer: 0.008972383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13153384 by 7.\nAnswer: -13153384\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4 - j**3\/3 - 7*j + 4. Let o(y) = 6*y**3 + y**2 + 10. Determine -5*o(x) - 7*p(x).\nAnswer: -2*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 369\/27 - (-1)\/3. Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 56 = -7*d. Suppose -8*h + 901 = 9*h. Calculate the remainder when h is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from zmmzkzkz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124788 greater than 124788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -632 + 636. Suppose 580 = -b*y + 6*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729465840 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*i + 4074 = 0, 4*z + 0*i + 5*i - 16196 = 0. What are the prime factors of z?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39010 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-170) + 0 + 0. Let y = b + -223\/1360. Calculate the common denominator of y and (-4 + 9\/2)*(-106)\/11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by (0 + 1)\/((-5950)\/(-1484) + -4).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -389 - 329. Let q = m - -1234. List the prime factors of q.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -25, -2*n + 2602 - 525 = h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3703, 3904, 4249, 4750, 5419, 6268?\n\"Answer: 2*p**3 + 60*p**2 + 7*p + 3634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1844 and 45829854?\nAnswer: 91659708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.429162 rounded to 2 dps?\nAnswer: -19.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 10*d**3\/3 + 9*d**2\/2 - 4*d + 9. Let o be h(-4). Let m = 211 - o. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = 27*w + 164 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 0.1, -0.3, -2, -5\/32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d\/d**4)\/d*d)*d**2*d**(-2\/13)\/d**(4\/5))\/((d*d\/(d\/(d*((d**(-1\/5)*d)\/d*d)\/d)))\/(d\/(d*(d\/(d\/(d**(-2)\/d*d)))\/d)))**(-5\/7) assuming d is positive.\nAnswer: d**(1451\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*l + 4. Suppose -8 + 23 = -l*x. What is the third biggest value in x, 16, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -223 + -404c?\nAnswer: -4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 23*o - 24. Let q be k(21). Suppose -q*n + 252 = -15*n. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 50*x. Let a be w(2). What is the highest common factor of a and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42, 384, 954, 1752, 2778, 4032?\n\"Answer: 114*o**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468905 and 4046335.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94.7788 micrograms?\nAnswer: 0.0000947788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45734*s**3 - s**4 + 459 + 7*s + 0*s + 45734*s**3 + 7*s with respect to s.\nAnswer: -4*s**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6) - (-76)\/(-57).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/6 and 53\/19113.\nAnswer: 38226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642434273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2036*m - 99. Let y(i) = 1018*i + 54. Let v(b) = -6*l(b) - 11*y(b). Let r(k) = -2*k. Calculate r(v(z)).\nAnswer: -2036*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*i**3 + 45*i**3 - 112*i**3 - 223*i**2 + 92*i**3 + 113*i**2 + 108*i**2 + (-3 + 3 + 1)*(-3*i + 3*i - i**3) + 2*i**3 - 3 + 3.\nAnswer: -22*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 2. Suppose 0 = -3*f - v + 10, 3*f - 21 = -j. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**2 + 162*p + 2. List the prime factors of j(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Suppose 5*r - 3*r - 6 = 0. Let t be (r\/8)\/((-9)\/4). Which is the nearest to -0.1? (a) t (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - -104. Let p = 774\/5 - h. Let v = -0.5 - -1. Which is the smallest value? (a) -2 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 31*r - 69. What is the remainder when (-2 - 38*6)\/(-1) is divided by z(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -20233, -497.\nAnswer: -20233, -497, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339012.\nAnswer: 2, 334753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27192 is divided by 1076.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 7, -5, 9 in descending order.\nAnswer: 9, 7, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -39, -20, 37, 144, 313?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943652777 less than or equal to -1943652777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10894073171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x*z - 4282*x + 1607*z wrt z?\nAnswer: -x + 1607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*6\/63*(-4)\/(-2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8803\/266 or 33?\nAnswer: 8803\/266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07901 and -1.9328?\nAnswer: -0.152710528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58126.\nAnswer: 2, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*v - 3*v + 21, -g = v - 7. Suppose 3*b - 4*i - 5 = 0, -3*i + 7*i = 2*b - g. Suppose -11*h + 6 = -8*h. Solve -u - h*u = -b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(231) + sqrt(231)*2))\/sqrt(7)*-3)\/(3*6*1*sqrt(1584)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8214 times -113\nAnswer: 928182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 66*m**2 - 21*m**2 + 11*m**2 - 135*m**2 + 7.\nAnswer: -211*m**2 - 10*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c248 (base 13) in base 5?\nAnswer: -3232243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73895, 73926, 74001, 74138, 74355?\nAnswer: 74670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o*y**2 - 40*o*y - 13*o - 15 wrt y.\nAnswer: -8*o*y - 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-75))\/(14\/175)*432\/20?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57\/5, 0.2, 5\/78?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2792 + -19541\/7. Solve -9\/7*l**5 - 24\/7*l**4 + x*l + 0 + 0*l**2 - 18\/7*l**3 = 0 for l.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -89. Let k(m) = -5*m + 58. Let b be k(12). What is the closest to h in 2\/7, b, 10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868794 and 10583?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 less than 536.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g**3 + 4*g**2 + 8*g**3 + 19*g**3 - 6*g**2 to the form i*g + f + m*g**3 + p*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*r**2 - 13*a**2*r - a**2 + 499*a*r + 30336*a + 2 with respect to r.\nAnswer: 4*a**2*r - 13*a**2 + 499*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -26*j - 45. Determine k(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*(1 + sqrt(3)) - sqrt(3)) - (((-2*sqrt(12))\/sqrt(4))**2 + -1 + sqrt(3)*-1)) + 1.\nAnswer: -4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1104, -4376, -9808, -17394, -27128, -39004, -53016?\n\"Answer: j**3 - 1086*j**2 - 21*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 + 38*k**3 + 4*k + 19*k**5 + 9*k + 22*k**4 + 38*k**2 + 2 - 14*k**5.\nAnswer: (k + 1)**4*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-2)\/(-4))\/((-1624)\/(-12992))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 781632 and 84311.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 1. Let l be (17 + -20)*(-1 + g\/3). Let h = 22 + 18. Calculate the highest common factor of l and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*g + 75. Suppose 5 = 5*s, -a = -2*s + 4*s - g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6459.\nAnswer: 3, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.728126.\nAnswer: 2.184378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 179?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 0 + 23)*(40*f + 30*f - 13*f).\nAnswer: -912*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 2, -423, 7 in decreasing order.\nAnswer: 7, 2, -3, -7, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 + v + 5. Suppose 5*g - 23 = 7. Let r be q(g). Let k = 16 - r. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 4*j**2 + 4*j - 2. Let i be s(-5). Let r be 4\/(-14) + 24\/133. Let y = 2 + -2. What is the nearest to y in 2\/3, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/53 greater than -135057.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90038452, 180076902, 270115352, 360153802, 450192252?\n\"Answer: 90038450*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmxmx. What is prob of picking 4 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 - -248. Suppose 2*s = -4, v*s + 0*s = -2*n + 1164. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h. Let f(k) be the second derivative of 5*k**4\/6 + 6*k + 14. Calculate f(g(u)).\nAnswer: 640*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-10)*s\/(s**(-9)*s))**(-5)\/((s**(-1))**12\/((s\/(s**(-5)*s))\/(s\/s**(-2\/11)))) assuming s is positive.\nAnswer: s**(-926\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*g*k**3 + 2*c**2*k + 1266*c*g**2*k**3*v - 4*c*g**2*k**2 - 5*c*g*k*v - 10*g**2*k**2*v wrt k?\nAnswer: -12*c**2*g + 7596*c*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26 and -199737.\nAnswer: -199763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:16 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 10144?\nAnswer: -10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -40 - ((-38 - (-14 + -8)) + 23).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:12 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61408 a multiple of 404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1782320, -1782634, -1782950, -1783268?\n\"Answer: -l**2 - 311*l - 1782008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from {a: 1, d: 1, x: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7747076 is divided by 11020.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 3 (c) 0 (d) 2.89 (e) -1\/3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 895846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32363575?\nAnswer: 5, 71, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/20 + 7*u**4\/12 - u**3\/6 + 7*u**2\/2 - 5*u. Let v(h) = 8*h + 1. Let q be v(-1). What is the units digit of y(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**3 + 32847*b - 32847*b.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 + 11 - 115*m**3 + 2*m**2 - 1 - 2*m**2 + 5*m wrt m.\nAnswer: -690*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1143*z. Let s(c) = -21*c - 1. Let t(a) = 104*a + 5. Let m(i) = -5*s(i) - t(i). Determine m(g(p)).\nAnswer: -1143*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3812016 and 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + (-32)\/(-3). Let w = 0 - -3. Suppose -w*n + 88 = n. What is the greatest common factor of n and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 y, and 1 l when four letters picked without replacement from yvvyvly?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4477*z**4 - 24*z**3 + 8*z - 2366. Let c(q) = -1492*q**4 + 9*q**3 - 3*q + 789. Let p(s) = -8*c(s) - 3*f(s). What is the derivative of p(o) wrt o?\nAnswer: -5980*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192792211.\nAnswer: 192792211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171575 + -1545784\/9. Let n = -179 - h. Sort 3, n, -1 in ascending order.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35579303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 1. Let q(y) = 2074*y + 4338. Let c(w) = -12*l(w) - q(w). Differentiate c(p) with respect to p.\nAnswer: -1990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-34\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73b8 - -4?\nAnswer: 73bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 513?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11719136 by 1464892.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*l - 17, -4*l + w = 2 + 8. Let b(c) be the second derivative of -1\/4*c**4 + 1\/3*c**3 - 5*c - 1\/20*c**5 - 1\/2*c**2 + 0. Calculate b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 29*a**2 + 154*a - 3. Give j(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 6\/3)*1. Let c(f) be the second derivative of f**5\/20 - 3*f**2 + 589*f - 6. What is c(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905816761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19574217*m**2 - 17541160*m wrt m.\nAnswer: 39148434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -859 + 414 + 25*l + l**3 + 11*l**2 + 431. Let j be n(-7). Solve 3 - j = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 - 1881280.7653\nAnswer: -1881271.3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.3 - -83. Let l = -45 + s. Put 4, l, -5, 2 in decreasing order.\nAnswer: 4, 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(91\/30 + -3). Let v be (c\/9)\/((-2)\/3). Sort 2, v, 4 in descending order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -7. Let w = 1 - i. Differentiate 0*h + 10*h**2 - 3*h - w + 3*h wrt h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -2.2011.\nAnswer: -1.10055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13332222 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 182223 (base 12) to base 7\nAnswer: 3362043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let a be 2*l\/9*-6. Solve 0 = 5*f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115912 divided by 129.\nAnswer: 115912\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckw when three letters picked without replacement from ckkkccckwc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 26 = -70. Let h = -15 + a. Calculate the remainder when -2 - (-52 - 2\/(-1)) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(4 + 0 - 5)*(3*v - 3*v - 7*v**2) + 1 + 2*v**2 - 1 + v**2 + v**2 - 4*v**2 + (-2 + 2 - 1)*(0*v**2 - 2*v**2 + 4*v**2).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25122 (base 7) to base 9\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15) + ((5 - -18) + -20 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/10 + 31*c**4\/42 + 4*c**3\/7 + 57*c. What is m in l(m) = 0?\nAnswer: -4, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*2)\/(-3*sqrt(32)) - (6*(sqrt(51)\/sqrt(27) + sqrt(119)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: -1088 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -179. Let o(c) = 278*c**2 - 40*c. Let r be o(j). What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-75))\/(2\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8252517*c**3 - 182151 wrt c?\nAnswer: 24757551*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/50 - g**4\/5 - 3*g**3\/5 - 4*g**2\/5 + 24*g. Factor i(z).\nAnswer: -2*(z + 1)**2*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -p + 3 + 1, -3*p = -5*u - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*n - 1185 = 1434. Which is smaller: n or -397\/39?\nAnswer: -397\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*k = 16 + 6, 9 + 6 = -4*k + 7 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-266 - 196 - 177 - 528)*(2*f**4 + f**4 + 4*f**4) in the form w + s*f**3 + d*f**2 + u*f + y*f**4 and give y.\nAnswer: -8169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*s**2 + 536*s + 4 - 536*s.\nAnswer: 175*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 + -10110010?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 0.0290078.\nAnswer: -0.6381716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.46913 rounded to 1 decimal place?\nAnswer: -46.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417.324 + -340.73. Let x = p + -0.794. What is x rounded to zero dps?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 30, -3\/5, -1, 1\/18, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(405))*1 - sqrt(405))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -17. Let z = 5610 - 5612. Which is the closest to 1? (a) d (b) z (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 5500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 25*z + 2005. Determine m(-52).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4\/9))**(-47))**(-30) assuming b is positive.\nAnswer: b**(2350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {y: 1, t: 1, h: 1, e: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044375751 to four dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911405 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5304 is divided by 213?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, 26, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a factor of 60843918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1401 or -896679\/640?\nAnswer: -1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/3)\/(1\/3). Let n(i) = -4 + 6*i + i**3 - 3*i + 0 + i**2 + 8*i**2 - 10. What are the prime factors of n(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f = 15. What is the remainder when 24 is divided by f\/2*(6 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(209) + sqrt(209) + -5*(sqrt(209)*3 - sqrt(209) - sqrt(209)) + sqrt(209))*4)\/((sqrt(121) + -2*sqrt(121)*-6)\/(-3*sqrt(176) + sqrt(11))).\nAnswer: 528*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 17, b: 3}. Give prob of picking 3 k.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1886645, -1886659, -1886673?\n\"Answer: -14*p - 1886631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9976, -39910, -89808, -159676, -249520?\nAnswer: -359346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*m*p - 6028*h**2*p**2 - 4*h**2*p - 4*h*m**2*p**2 + 2*h*p**2 - 3*h*p + m**2 wrt p?\nAnswer: -12056*h**2 - 8*h*m**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281341?\nAnswer: 353, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 17 + -52 + 46 - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 0*i - 1320. Let q = 5 - i. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26234 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-232) + (-72 - 28987\/(-404))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21606104.\nAnswer: 2, 13, 103, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4325 - 29218 = -31*w. What are the prime factors of w?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319 + 6 + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11294.662 rounded to the nearest one hundred?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -121533930 divided by -64134?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2 - 9291*c - 916470 = 0.\nAnswer: -2995, -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11755379 is divided by 2231.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1824834158 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*c - 2*k - 162, 0 = 5*c + 4*k - 213. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.79 - 2.6. Let h = 0.13 + -0.24. Let z = h - s. What is the second smallest value in 5, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (sqrt(300) - (sqrt(300) + -2*sqrt(300) + sqrt(300))) + sqrt(300))**2.\nAnswer: -200*sqrt(3) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627550 divided by -44825.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - -8 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 - -1) + 36 + -39?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*q**3 + 69807857456*q**2 - 69807857456*q**2.\nAnswer: -45*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -542, -1174, -1806?\n\"Answer: -632*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50289 = -s - b - 50299, 3*s + 46 = -5*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 28 = 2*p, -4*p = -4*y - 49 + 5. Suppose 1187 = p*t - 493. Does 42 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:48 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k**2 + 2. Suppose -11 = -30*z + 31*z. Let t(g) = 3 - 4 - 5 + 29*g**2. Let f(l) = z*r(l) - 4*t(l). Differentiate f(y) with respect to y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*o - 2763, -i - 122 + 809 = 3*o. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 36*g - 36*g. Let i(u) be the second derivative of u**4\/12 + 2*u. Calculate i(k(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 40055990*a**2\/7 + 200560271832016*a\/7 - 200560311888008\/7.\nAnswer: 2*(a - 1)*(a + 10013998)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -158*f + 392. What is the remainder when k(2) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(75) + -6*(sqrt(75) - (-2 + sqrt(75) - sqrt(75))) + -5 + 0)**2*-1.\nAnswer: -1600 - 800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8)\/((-45)\/12). Let w = -0.02 - -4.82. Let l = w + -5. Which is the third smallest value? (a) q (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 + 10\/(2 - -3) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15579 times -16\nAnswer: -2.49264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7057929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -14*w + 187. Suppose -7*f + w*f = 33. Solve -2 = f*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61001 and 0.1?\nAnswer: -6100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 7 = -p + j, 5*p - 1 = 3*j. Let a = 5 - p. Differentiate 7*v**3 + 6 - 2 + 0 - a*v**3 wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -83*l**5\/10 - l**3\/6 - 569*l**2 - 2*l - 3088. Differentiate h(q) with respect to q.\nAnswer: -498*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -3, -5, -5.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*o + 8, -44 = -0*c - 3*c - 4*o. Let a be -1*8*(-1 + (3 - 8)). What is the greatest common factor of c and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698.54141 rounded to the nearest ten?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/20 - m**4\/4 - m**3\/3 + 149*m**2 - 91*m. List the prime factors of v(0).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, v: 1}. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 + 7*w. Let r be b(7). Suppose 3*f = -r + 6. Solve 3*y = -5*o - 26, -f*y - y - 14 = 2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/9)\/((-219)\/(-9) + -25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - (-4 - (20 + -14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/70 - (-2 + 2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**16\/k**(-13\/3)*(k*k\/(k**(5\/2)\/k))**(2\/9) assuming k is positive.\nAnswer: k**(184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 13) + (19 - 2) + -59 + 31\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 100*m**2 - 393*m - 29. Let t be j(4). Let h be ((-8)\/(-114))\/((-4)\/6). What is the fourth smallest value in -0.3, 3, h, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15947 is divided by 158.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3269 - -3270. Suppose 0 = -26*n + 25*n - 2. Which is the second biggest value? (a) 1\/2 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 170736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4. Let g(u) = u. Let n(x) = x. Let w(s) = -7*g(s) + 6*n(s). Suppose 2 = -0*f - 2*f. Let v(h) = f*i(h) - 3*w(h). Let v(o) = 0. Calculate o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 549215 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*c - 6 = 0, -5*v + 11 = 3*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 767117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1559.29 + 5\nAnswer: 1564.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-585)\/104)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.055 + 4.0449436.\nAnswer: 3.9899436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -674113 - -469182557\/696. Calculate the common denominator of -31\/48 and b.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1724, -7012, -15826, -28166, -44032?\nAnswer: -63424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316002 is divided by 78771.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/192 and -31\/500576.\nAnswer: 3003456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -3235134?\nAnswer: 3235130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8*b - 17445 = 6*b, m = -b + 5816. Is m a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -248 (c) 3\/95 (d) 0 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134204 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 262315 or 261928?\nAnswer: 261928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 3 - 4*o + 1 - 2*o. Let d be ((-3)\/9)\/((-1)\/6). Determine l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186898896 divided by -114?\nAnswer: -1639464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/12 - 6*a**3 - 69*a**2\/2 - 121*a. Is l(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110 (base 2) in base 11?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**3 + 14*n**2 - 11*n - 6. Let x be c(2). Suppose 5*i + s = 28, s = 2*i - s - 4. Let b = i - 26. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1607 + 1611. Let w(m) be the third derivative of 0*m**z - 1\/10*m**6 + 1\/10*m**5 - 5*m**2 + 0*m**3 + 0 + 0*m. Find the third derivative of w(v) wrt v.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z**3 + z. Calculate a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let m = 22 - 22.5. Which is the nearest to -1? (a) r (b) -2\/15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 + -178. Suppose 3*y - f = 34. Let v = y + -35. Solve v = -3*g - 3*x, 5*g + 24 = -0*g - x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -341, -3, 0 in descending order.\nAnswer: 5, 2, 0, -3, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -657759*d**2*i**3 + 2*d**2 - d*i**3 + 173315*d + 1 wrt i.\nAnswer: -1973277*d**2*i**2 - 3*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 8*q + 5*q**2 + 4\/3*q**3 + 1\/8*q**4 + 25. Determine v so that j(v) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - 5.9. Let p = -0.5 - q. Let w be (-4)\/(-5)*5\/2. What is the second biggest value in p, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-836)\/(-12))\/1 + (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -22*s**2 - 51*s + 225. Let j(r) = 10*r**2 + 25*r - 105. Let t(k) = 13*j(k) + 6*v(k). Calculate t(13).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 629\/7 - 6912\/77. Let q be (-2)\/8*(-1)\/(-1). What is the second biggest value in q, h, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-780)\/468)\/(55\/(-6))*-2.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28058768\/3 or 9352922?\nAnswer: 9352922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1, 13 in ascending order.\nAnswer: -1, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11070 + -509239\/46. Let h = 2\/23 - o. Which is the nearest to 0.1? (a) 2 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9126\/(-65) - (-4)\/10 - 0. Let o = 155 + w. What is the highest common divisor of 45 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -37*i - 4\/3*i**3 - 1\/2*i**4 + 39 + 1\/10*i**5 + 0*i**2. Let g(r) be the first derivative of o(r). Solve g(x) = 0 for x.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*h - 0 - 29, 2*h + 4*p = -20. Let v(m) be the second derivative of -m**5\/20 - 5*m**4\/12 - m**3\/3 - m**2 + 15*m. Determine v(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from {z: 3, d: 9, s: 7}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -g - 49*o + 50*o, -3*g - 3*o + 24 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 835443642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(768\/(-16))*(-1)\/(-8)*4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 - 0.261.\nAnswer: -125.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 12*y + 33. Let d be c(-10). Let b(u) = -d*u**2 - 1 - 12*u + 45*u**2 + u**3 - 4 - 37*u**2. What is b(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y - 3. Let b(i) = -9*i + 4. Let l(n) = -3*b(n) - 4*p(n). Let j be 4*20\/(-32)*-2 + 2. Let d(z) = -6*z + j*z + 0*z - 4*z. Calculate l(d(m)).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -35. Let b = 46 + x. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 4, -75810, -2, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -0.662. Let z = -9.902 + w. Let c = z - -10.33. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103141*z - 123 + 121 + 4703*z.\nAnswer: 107844*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8695294 months to millennia.\nAnswer: 0.00023912745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 238?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3369*m + 15 = 4*u - 3366*m, m - 5 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 2. Let d(l) be the second derivative of -l**5\/20 + 7*l**4\/12 - 3*l**2 + 2*l. Let z be d(7). Let q = 4 + z. What is a(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q - 809 = -10699. Is 52 a factor of q\/(-60) - 4 - 625\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 89 (c) -4\/7 (d) 0.4 (e) -8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, 1\/3, 20\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 73 + 27. Suppose 0 = -2*h - 3*h - i, -53 = -4*b + 5*h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 3. Let z be 1 + (10\/(-4))\/(6\/12). Determine b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpphpih. Give prob of picking 1 h and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102 from -47096.062745.\nAnswer: -46994.062745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z + 75 = 30*z. Factor 5*a**3 - 608 + z*a - 25*a**2 + 588 + 15*a.\nAnswer: 5*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270065 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, 5, 176?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134484 and 179312?\nAnswer: 537936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - k**2 - 4*k + 3. Let q(h) = h**3 + 2*h - 2. Let f(o) = -13*q(o) - 6*u(o). Let n(m) = 2*m + 40. Let w be n(-17). Give f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:36 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*g + 416*g - 1621 - 4989 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 4*o + 1. Let q(k) = -11*k**2 + 17*k + 4. Let r(u) = -2*q(u) + 9*s(u). Calculate r(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 2410972.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - l - 33. Let z be r(0). Let p = z + 53. Calculate the lowest common multiple of 18 and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than 44858812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 30 = s, 2*s + s = 3*i + 15. Suppose 5*c = -0*c + s. Solve n = c*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 9*i = -51 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8076, 8059, 8036, 8007, 7972?\n\"Answer: -3*v**2 - 8*v + 8087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:41 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*i - 8 = 0, -5*s - 2*i = -0*i - 25. Solve s = -5*u + 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 5*h**3 - 9*h**3 + 13*h**3 - 185885*h.\nAnswer: -2*h**3 - 185885*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -3*q**5\/20 + 7*q**4\/2 + 2*q**3 - 84*q**2 - 292*q. Factor n(b).\nAnswer: -3*(b - 14)*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213 + -200. Let i(j) = 24*j + 25. Let u(v) = 11*v + 12. Let t(b) = y*u(b) - 6*i(b). Determine t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -10 - (206 + -163)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5982 times 2\nAnswer: -1.1964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268 + 268.555. Let s = 0.063 - c. What is s rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*a + 12 = 411*a, 2*a = -m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 3*g**2 + 3*g - 129. What is the least common multiple of w(3) and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w - 18 = 0. Suppose 4*q - w = 6. Solve -q = -2*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -810, 5 in increasing order.\nAnswer: -810, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -105*z - 13441. Let k be q(-128). Let t be 1\/101*(0 + 3). Does t = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 479\/4 + -121. Suppose 5*n - 207 = 6*n. Let j = n - -1038\/5. Which is the closest to 2? (a) -4\/7 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06813 - -28560448.\nAnswer: 28560447.93187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 78300.74 minutes?\nAnswer: 4698044.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Let b(v) = -3 + 7*v - 3 - 4*v - v. What is the lowest common multiple of b(5) and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 6\/9 + 32\/6. Solve -f*i + 15 = 5*p, -4*p + 18 = i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 208*a**2 - 2*a - 12. Let u be c(1). Calculate the highest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - c - 2187 = 0. Let a = c - -198. Let t be (92*-1)\/(-2)*-1. Is t at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 378514781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 3. Let y be h(-2). Suppose -2*a + 30 = y*a. Let v be (3 - 2)\/1*a. Solve -v = 3*d + 3*j, -3*d + j + 3*j = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 4)*1\/2311. Let f = t - -279671\/46220. Calculate the common denominator of 7\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 590602*z**3 - 92*z**2 - z - 539913462?\nAnswer: 1771806*z**2 - 184*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -3 - (-3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 179 = -4*q - 163, 26 = -2*w - 4*q for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.10455 and 0.2.\nAnswer: 0.09545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -14, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58674 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r. Let k be q(-6). Suppose -3*l + k = -7*l. Let n be 4\/(96\/(-75)) - l. Which is the closest to -0.1? (a) 4 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -572 + -244440?\nAnswer: -245122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ylyyyylyyyyylyyyyyly?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -25, -2*o + 129 = -0*o - 3*t. Suppose 0 = 5*s - o - 48. Suppose 0 = 2*u - 5*u + s. Solve -4*y + 2*i - u = 0, -i - 15 - 1 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 16889364*r**2 - 5*r.\nAnswer: 16889364*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195724550?\nAnswer: 2, 5, 7, 559213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1 + 14*l**2 + 16*l**2 - 9*l**2 + 0 + 2*l. List the prime factors of t(2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -84, -177, -306, -471, -672?\n\"Answer: -18*n**2 - 3*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53.757042 - 53.822. Let c = q + 0.065. What is c rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 331 - 320. Suppose -w*c + 8*c + 4 = -5*k, -k = -3*c + 8. Sort -3, 0, c, 2 in ascending order.\nAnswer: -3, 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -287, -2418, -8183, -19400, -37887, -65462, -103943?\n\"Answer: -303*b**3 + b**2 - 13*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178670 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 23*r - 26 - 99. Solve -3*g + 3 + 7 = r*u, u - 10 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/209*-462 + -42.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (3 + 7*632\/252).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 5*x + 7. Let n be o(5). Let c(h) = -2*h + 1. Let d be c(5). Let k be (n\/21)\/((-1)\/d). Solve -k*v - 13 = 4*p - 0, -3*p = 3*v + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38, -46, -54, -62?\n\"Answer: -8*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3007 = -164. List the prime factors of u.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/9)*k*(k*k**(5\/6)\/k)\/k)\/(k**(-1\/16)*k**(8\/9)) assuming k is positive.\nAnswer: k**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from {q: 1, o: 2, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.74 and -679.909.\nAnswer: -503.13266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 - 4*k + 3. Let p be d(-5). Suppose -4*g + p = 3. Let f be (-10)\/4*(-1)\/g. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117859, 233872, 349883, 465892, 581899, 697904?\n\"Answer: -a**2 + 116016*a + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:47 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30814.\nAnswer: 2, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161370792 divided by 66.\nAnswer: -2445012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 + 249. Let i be 288\/27*6\/4. What is the greatest common divisor of i and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4*v - 152*n**3*w**2 + n + 3*v*w**2 - 439*w**2 wrt n?\nAnswer: 8*n**3*v - 456*n**2*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 103 + 27 = 0. Let w = -866.4 + 866.2. Put t, w, 2, -4 in decreasing order.\nAnswer: 2, w, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -133977, -269094, -404211, -539328, -674445, -809562?\n\"Answer: -135117*k + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299539779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295438?\nAnswer: 2, 647719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57, 130, 209, 294?\n\"Answer: 3*n**2 + 64*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -16 (c) 1 (d) 0.2 (e) -2 (f) 0.52 (g) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(272) + 3) + 3.\nAnswer: 14 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595139883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -1434?\nAnswer: 1434.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124366 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 3*t**2 + 2*t + 3. Let w(n) = -3*n. Let u be w(-1). Let q = u + -5. Give z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142404 - 19570*q + 19617*q - 142404.\nAnswer: 47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/52 and 103\/25862?\nAnswer: 672412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 54*f - 685. What is q(-40)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8574525 by 1714905.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652785 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8668485 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 - b + 1. Let j(v) = 5*v**3 + 8*v**2 + 6*v - 5. Determine j(q) + 6*y(q).\nAnswer: -q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371 + 1050. Suppose -5*m = 5, -4*x - m - f = -6*m. What is x rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r + 37. Determine z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.1 or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 9*v**2 - 10*v + 2. Calculate c(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let f(a) be the second derivative of -337\/6*a**4 - 2*a + 0*a**2 + 0*a**3 - 6. What is c(f(d))?\nAnswer: 674*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41636185 and 6?\nAnswer: 249817110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 9*f**2 - 2. Let d be t(-9). What is the fourth smallest value in d, 3, 1, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/(2\/40). Let p be 2\/m - (-162)\/(-8). Let w be (-2)\/8 - 5\/p. Solve w*i = 2*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 21208112*s - 28111500912784 = 0. Calculate s.\nAnswer: -2651014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6740 = 162*h + 1718. Let j(i) = -i**2 + 36*i - 152. Give j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(204) + sqrt(204)*2*4)\/(sqrt(108)\/((sqrt(90) + -2*sqrt(90))\/sqrt(10))))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 36*f**3 - 18*f**2 - 4*f. Let j be t(14). Suppose 0 = -9*c + 5*c + j. Round c to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -1212 in increasing order.\nAnswer: -1212, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**0))**(-5\/4)*a*a*a\/(a*a\/((a\/a**(4\/5))\/a))*a**(-4) assuming a is positive.\nAnswer: a**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2532*c - 122418. Give f(-48).\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -9. Suppose 0 = r + 3*o - 61, 0 = -3*r - 51*o + 56*o + 197. Calculate the remainder when r is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 32235 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdulyylyydyyyb. Give prob of sequence dyyu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/30*12\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1580 and -31\/133?\nAnswer: 210140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 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 46*h + 6 + 100 = -170 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + -2*sqrt(275) + -5)**2.\nAnswer: 180*sqrt(11) + 1181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 + 50. Let z = 8 + t. Let h = -16 - z. Solve 5*q = -5*a + 30, h*a = a - 2*q + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409852 divided by 2?\nAnswer: 204926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a - 4. Let g = 72 + -71. Let r be h(g). What is the third derivative of -20*c**2 - 20*c**r + 9*c**4 + 12*c**2 wrt c?\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -z + 3*l - 2, -2 = -3*z + 2*l. Let c(a) = -4 - a + a**3 + 3*a**z - a**2 - 3*a**2. Let q be (0\/(-2))\/(2\/2). Determine c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416557\/5 greater than or equal to -83312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-1 - 10 + 0)*(-3*d**4 + 5*d**4 - 5*d**4).\nAnswer: 66*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789*o**2 - 4*o + 4*o - 1790*o**2 + 0 - 5.\nAnswer: -o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -832 divided by -4\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7281 + -7278. Factor -4\/3*h**4 - 8\/3*h + 0 + 4*h**2 + 0*h**v.\nAnswer: -4*h*(h - 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6*(-225711)\/(-6). Let x = i + -624899\/5. Let c = x + -422. What is the common denominator of 67\/3 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 120 = -3*w. List the prime factors of (-192)\/w + (-2)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**3 + 41*l**2 - 15*l - 78. What is w(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-53648)\/2874.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5486\/4865?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose -2*z = 2, a*h + 2*z - 10 = 21. Let r be (-62)\/(-4) + h\/22. Solve -r = -0*q + 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/10 - 4*a**2. Is d(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from ailaiililaiaiiii.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(-1 + 0 + 5) - 3*y + 5*y + y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1067035?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 99\/2 + 51\/34. What is the highest common factor of 119 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54355 is divided by 246.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**2\/9 - 136*d\/3 - 2290\/9.\nAnswer: 2*(d + 5)*(5*d - 229)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p - 2. Let g(k) = k**2 - k - 5. Let b be g(0). Let u(c) = c**3 + 4*c**2 - 8*c - 4. Calculate the remainder when u(b) is divided by z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:14 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*z - 2 = 0, 4*z = -3*l + 2*z + 7. Let o = 21 + -23. Let h = -38 - -40. Sort o, l, h in decreasing order.\nAnswer: l, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 6. Let z be v(-5). Let w = 8\/21 - 10\/63. Which is the second biggest value? (a) w (b) z (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + t**2 + 6*t - 6. Calculate g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-1)\/(sqrt(50)\/sqrt(20)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m - 4*m + 3*m)*(3 - m**2 - 3) + 11*m**3 - 669790*m + 669791*m - 23*m**3 - m**2 - 58 in the form y*m**3 + l*m + w + g*m**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = z. Let c(y) = 2*y**2 + 1 + 2*y**2 + 5*y**2 - y - z*y**2. List the prime factors of c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -599.165160827 and -22?\nAnswer: 577.165160827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103*17\/(-7004))\/((-1)\/(-292))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:46 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/5)\/(144\/120). Let g(h) be the first derivative of 4*h - l*h**2 + 2. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.51 + -0.01. Let z = x + 0.34. Round z to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-24))\/((-1)\/4). Suppose 4*r + a*q = -10, 2*r + 8 = -2*q - q. Sort 0, r, 5 in ascending order.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + (-68 + 95 - (-4 - -48))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1410, 3588, 5770, 7956, 10146, 12340?\n\"Answer: 2*j**2 + 2172*j - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f - 410. Suppose -5*a = 2*g - 95, -156 = -3*g + 4*a - 25. Let z be k(g). What is the greatest common divisor of 260 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*79.\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -10516.4837 to the nearest ten.\nAnswer: -10520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*j**2 + 64*j + 8*j**2 - 8*j**2 - 73*j**3 wrt j?\nAnswer: -438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1407*c - 35932 - 7685 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/22)\/(((-1080)\/(-48))\/(-45))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2447*o - 481 = 2484*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265816 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84489907 by 4.\nAnswer: -84489907\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-10 + 12 - 22)*(3 - 1 + 0) + ((-5 + 3 + 1)*(1 + 0 - 2) + 1 + 0 + 1 + 0 - 3 + 2)*(1 + 3 - 2))*(25 - 25 + 124*b) to o + d*b and give d.\nAnswer: -4464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u*u)**(2\/41))**(14\/5) assuming u is positive.\nAnswer: u**(84\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a. Let v(d) be the second derivative of -16*d + 0*d**2 + 0 + 1\/6*d**3. Give z(v(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.8763445 plus 3.5?\nAnswer: 49.3763445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00170545674 rounded to five dps?\nAnswer: -0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -288, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*c - 10, -2 = f + 3*c - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 80*p - 30. Let k be m(21). Let n(t) = 5*t - 54. Let q(j) = -j + 18. Let y(z) = -6*n(z) - 21*q(z). Let o(g) = -1. Calculate k*o(x) - y(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (113 + -85)*32\/14.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbwvttttwvwttwebewe. What is prob of sequence vttt?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245*s - 33*s**4 - 491*s + 127*s**4 wrt s.\nAnswer: 1128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 27 + -2 + -7 + (-9 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j - 69. Let i be a(7). Sort -5, i, -56 in descending order.\nAnswer: i, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/46853240 and 107\/2465960.\nAnswer: 46853240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 18 + -4 + 40 + 17.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 + 24.\nAnswer: 24.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 485 - 482. Suppose -4*u + 1480 = 4*t, c*t + 1360 = 5*u - 458. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6822*u = 5463*u + 50182 + 613208 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1742, -1777, -1728, -1517, -1066, -297, 868?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123131 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14*-2 - (-36)\/(-126). What is the second derivative of 0*w**3 + 29*w**3 - 7*w + o*w wrt w?\nAnswer: 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose -4*y + 30 = 2*x, -y + 4 + 8 = 2*x. Solve -2*l - 4*p = 14, l + h*l + y = -p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8*l = -9120. Let k be 3*l\/(-4)*1\/3. Suppose 5*d = 0, -k = -0*t - 5*t + 4*d. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1023\/125 or 0.15?\nAnswer: 1023\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-44.6.\nAnswer: 17.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*n**3 - 29*n**3 - 68*n**2 - 19*n**4 + 59*n**3 - 137*n**4 + 15*n**5 - 82*n**2.\nAnswer: 3*n**2*(n - 5)**2*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = -40. Let w = r - -2. Let a(f) = f**2 + 8*f + 12. Let j be a(w). What is the nearest to j in -3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5 - 27*g**4 - 229*g**3 - 537*g**2 + 770*g + 2904 = 0.\nAnswer: -11, -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 2:58 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 296*u\/5 - 448.\nAnswer: -2*(u + 8)*(u + 140)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*n = -285*n - 5*f + 26, 2 = 5*n - 2*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61637 - 1725825\/28. Let l = -94495\/4764 - -3\/1588. What is the common denominator of n and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3 + 103*d**2 - d - 103 = 0 for d.\nAnswer: -103, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206174386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 50. Calculate r(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2302340*j**2 + 19947294 wrt j?\nAnswer: -4604680*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 10630?\nAnswer: 95670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000079042 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 2138 + 2138. Let r(q) = 2*q. What is r(l(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m + 22*m + 8*m)*(-2*m + 1 - 1)*(-3*m + 2*m + 6*m) - m**3 + 3*m**3 - m**3.\nAnswer: -409*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (-3*sqrt(1900)*-1 - sqrt(1900) - sqrt(1900)) + 0.\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 1259*h**2 - 7487*h - 27. Determine z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 460736503 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -7913861?\nAnswer: -7913861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9577289 to the power of 1\/2, to the nearest integer?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15872976 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34929121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.44187l to millilitres.\nAnswer: 85441.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540 by 135.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 27.97, 2\/9, 5, -1.9, 0.5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 43347323906?\nAnswer: -43347323896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -650, -648?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 6. Let v be o(6). Let q be (-33)\/(-12) + (-3)\/v. Suppose -2*r - 23 = -q*r. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520 divided by 3520?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h**2 + 6 - 2*h**3 - 6 - 3*h**3 = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 2, f: 2, t: 1, g: 4, z: 1}. What is prob of picking 1 a and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214\/35 + 47\/7. Let u be 15\/(-6)*(-1120)\/7000. Which is the second smallest value? (a) u (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (1 + -2) - -4. Let q(j) = -1 + 2*j**2 + 0*j**2 + j + j + 7*j**g. List the prime factors of q(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 6637 - 43*i**2 - 2*i + 27*i**2.\nAnswer: -16*i**2 + 2*i + 6637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3652, 1678 in decreasing order.\nAnswer: 1678, 0, -3652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 138 = -6*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, b: 2, i: 4}. What is prob of sequence bii?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 153616*a**2. Let i(u) = 3*u. Calculate i(k(t)).\nAnswer: 460848*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2 + 5)*3. Let p(n) = r*n - 1 - n**2 - 3*n + 4. Let y(o) = 3*o - 21. Let x be y(6). Give p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*x**3 + 422*x**2 + 404*x**2 - 821*x**2 + 1068 wrt x?\nAnswer: 87*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2614063.\nAnswer: -7\/2614063","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxjxjxxxx. Give prob of picking 2 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/3)\/((-3)\/15)*-3. Let y(l) = l**2 + 5*l - 7*l + h + 10*l + 2*l. Is y(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 6. Let p(t) = -t - 5. Let r(f) = f + 6. Let z(s) = 6*p(s) + 5*r(s). Let a(d) = m(d) - 3*z(d). Is 11 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -0.01, 0.1, 4\/117, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*z**3 + 26*z**3 + 26*z**3 + 25*z**2 to the form v*z + u*z**3 + w*z**2 + l and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 66, -5, -2, 31 in ascending order.\nAnswer: -5, -4, -2, 4, 31, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/40 and 53\/54286144.\nAnswer: 271430720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7*t + 12. Put -1, -5, t in decreasing order.\nAnswer: -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -173*b - 4535. Determine g(-30).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t + 5 = 72*t - 5*c, c = 3*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 42*t + 299. Let j be k(-12). Let y(g) = -2*g**2 - 9*g + 15. Let a be y(-13). Which is greater: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 22, 6 in descending order.\nAnswer: 22, 6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 44775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/65, 0.04, 5\/2, -0.048?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -30*m + 288. Let v be d(9). Suppose 228 = l + 2*y, y = 4*l + 2*y - 912. Calculate the highest common divisor of l and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7225597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose -3*p - 2*p = -c - 66, o*c = 12. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 - 14*l**2 + 9*l**2 + 17*l**2. Let z(i) = 2*i**2 + 10*i + 16. Calculate z(s(o)).\nAnswer: 2*o**4 + 10*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4839 - 12*b**2 - 9686 + 4847.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*p + 177 = 0, 2*t = 3*t - 3*p + 33. Let r = t + 430\/9. Let b = -303\/5 - -61. Put -1\/2, b, r in decreasing order.\nAnswer: b, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (5 + -8 - 632) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3210603ug to nanograms.\nAnswer: 321.0603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o = 67*o. What is the first derivative of -353 + o*q**2 - 2*q**2 + 71 + 87*q**2 wrt q?\nAnswer: 170*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9748 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6*-3)\/((-10)\/32*36\/(-195)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*((-30)\/4)\/(-5). Suppose 0*l + 4*l = -2*r + 444, -4*l = 4*r - 448. Let u = l + -29. What is the highest common divisor of u and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 7*r**2 - 13*r + 148. What is o(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + 11*n + 2. Let c(b) = 16*b**2 - 55*b - 11. Calculate -2*c(t) - 11*m(t).\nAnswer: t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let a = 4 - 2. Let v(c) = 2*c - 1 - 4*c**2 - 4*c + 5*c**a + 0*c. Suppose 3*l + 11 = -4*n, -5*l - 5*n = -l + 13. Calculate l*h(d) - 2*v(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32172 and 31836.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 + 5790*t - 11585. Give y(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(((-1*1*sqrt(1331) - -6*(sqrt(1331) + 0)) + sqrt(1331) + 0 + 4 + -1*sqrt(1331)*-2)**2 + 4).\nAnswer: 2816*sqrt(11) + 340816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4280*r + 2509*r + 2153*r. Let w(t) = -t. Calculate w(m(s)).\nAnswer: -382*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 17*i - 35. Let u be x(15). Put 5, 2, 0, u in increasing order.\nAnswer: u, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -3653773 - 3480215. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 23*x - 83. Let z be i(-19). What is the units digit of (z + 12 - -1)\/((-2)\/(-73))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 47*x + 1782 = 0. Let w be x\/12*(0\/3 - -2). Let a be (-438)\/(-8) - 2\/(-8). What is the highest common factor of a and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2045 = -12*u + 161. Let i = u + 239. Suppose i = h - 86. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/((-2)\/6). Suppose 4*k + w = 5*k. Let y be 14\/4 - (-3 - (-15)\/10). Solve -2*l - y*b + 10 = -3*l, 0 = -l + k*b - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97.215 + -0.215. Let k = -97.0048 + p. Round k to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 131291 and 2482?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9432 and 4845297.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1284320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 173.\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 * -321.816\nAnswer: 15768.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 821560 to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09012 rounded to 3 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -107, -96, -81, -62, -39?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52839 and 25441?\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 228, 235, 244, 255, 268, 283?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + h**2 - h + 9*h**3 + 1 - 11*h**3 as y*h**3 + g*h**2 + m*h + t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -413577\/20 + 20677. Calculate the common denominator of u and 137\/9258.\nAnswer: 92580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.39 (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:47 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d + (-3*d + 3*d + d)*(2 + 5 - 3))*(1 + 0 + 0).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -1\/120*d**6 + 1\/12*d**5 - 4 - 1\/24*d**4 + 0*d - 1\/2*d**2 + 7\/6*d**3. Let o(b) be the second derivative of u(b). Give o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467759983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222210100330 + 0?\nAnswer: -222210100330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16362.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -6*l + 4*l + 6, 10*l = 3*f + 86. Calculate the lowest common multiple of l and (-1)\/4 + (-237)\/(-4).\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6660, 26517, 59612, 105945, 165516, 238325?\nAnswer: 324372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 18, 39, 64, 93?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2234958 divided by -18.\nAnswer: -372493\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29475 + -2351. Round f to the nearest 100.\nAnswer: 27100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 - -3) + (-3 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 - 87608\/(-40)) + 1\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r + 1. Let j be n(-3). Is 2 + -1 + j*24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 18232290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 27. Let d(n) = n - 3. Let i be d(q). Suppose 2*y + 5*z = 34, 3*y + z = i + 31. Solve v + 4*p - y = 0, v - 16 = 2*v - 3*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 28*d**2 + 27*d - 51. Give x(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Let q(t) = 4*t**2 - t - 2. Let i be q(d). Suppose l + i = 2*f - 4*l, -l + 70 = 2*f. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-14 + -2) - (4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/(-240)*3\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 6*p - 9 - 31 - 4*p + 20*p.\nAnswer: 3*p - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 7*h + 5. Suppose 4*y + 5*b = 48, -5*y - 5*b = -0*b - 55. Let z be a(y). Suppose 5 = z*o - 10. Solve 1 + 8 = -o*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (-44)\/(-8)) + (-26)\/(-4). Let t = -1 + -1. Let x = -0.36 - 0.04. What is the closest to 1 in x, t, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47598968.\nAnswer: 2, 47, 71, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2012, -3055, -11496, -23305, -38476?\n\"Answer: z**3 - 1693*z**2 + 5*z + 3699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2346 + 1334. Let v = 24239\/24 + h. What is the common denominator of 3\/32 and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 107, 120, 133, 146?\n\"Answer: 13*c + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 - 1000100?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(448) + -3 + sqrt(448) + sqrt(448) + 5 + 2)*3)**2.\nAnswer: -183060 - 12960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65633 (base 9) in base 6?\nAnswer: 533303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + l + 12049, -8*i = -3*i - 3*l - 12057. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*j + 12, 12*l - 2*j = 21*l - 25. Solve 2*d + 20 = l*o, -11*d = 2*o - 9*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2 - 25*a + 4. Let s(o) = 2*o**2 - 3*o. Let q(d) = -b(d) + 7*s(d). Suppose c - 20 = 4*x, -4*x + 3*c + 2 - 14 = 0. Calculate q(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387639265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 15452\nAnswer: -15452.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 6. Let w = 3 + -1. Suppose -2*k + 1 = -n, 1 = -w*n + 5*k - 2. Solve -q = i - n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 5*x + 5. Let p(l) = 0*l**3 - 6*l + 79 - 85 + l**3 - 3*l**3. What is -4*p(u) - 5*r(u)?\nAnswer: -2*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 9*x**2 - 25*x - 10. Let t be k(-7). Differentiate 6*o**4 + t + 2*o**4 + o**4 + 22*o**4 with respect to o.\nAnswer: 124*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2228.66848755 - 2151.429. Let z = 208.2394904 - g. Let k = -131 + z. What is k rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 65*o**2. Let i(g) = -3*g + 37. Give b(i(v)).\nAnswer: 585*v**2 - 14430*v + 88985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16562475 is divided by 595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 982299, 982366, 982431, 982494, 982555, 982614?\n\"Answer: -z**2 + 70*z + 982230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrrccrccrc. What is prob of picking 2 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325598 divided by 7.\nAnswer: 46514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48642\/5 or 9729?\nAnswer: 9729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1478954 (base 10) to base 12.\nAnswer: -5b3a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15d2 + 22?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*l**5 + 1005*l**4 + 1449*l**3 + 459*l**2 = 0. What is l?\nAnswer: -3\/5, 0, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(175))**2)*-4.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190 - -214. Which is smaller: z or 145\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 + 2*p - 1. Suppose -i - 2*i + 6 = 0. Calculate the remainder when o(i) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, 1 a, and 1 m when four letters picked without replacement from aixbm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22919 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 12. Let q(c) = 112*c - 227. Let w(f) = 19*g(f) + q(f). Let u(v) = -3*v**2 + 4*v**2 + 0*v**2. What is w(u(a))?\nAnswer: 150*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/659 and -0.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 24 = 2*z. Suppose z*k = k + 143. Calculate the lowest common multiple of 7 and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let i = 76 + -2279\/30. Let f(x) be the third derivative of -i*x**5 + 0*x**4 + 0*x**3 + 0*x + 0 + 6*x**2. Give f(r(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -64*m**2 - 68*m + 47*m**2 - m**3 + 7 + 0*m**3. Is f(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805 is divided by 599.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 2*x. Let d(o) = -2*o - o + x + 11*o - o**2. Let r be d(8). Solve -w = 4*l - r, 4*l + 16 = 4*w - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 8 + 12. Suppose -19 = -k*n + 5. Find the third derivative of -2*w - 2*w**n + 2*w - w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-6))\/(6\/153) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008327 rounded to seven decimal places?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuk when three letters picked without replacement from {m: 1, j: 4, k: 1, f: 2, s: 6, u: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5342.3752 to zero dps.\nAnswer: 5342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 4*s**3 - 19*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-118)\/(-14) + 6\/(-14). Do i and 8 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24 - 0.28. Which is the closest to -0.1? (a) z (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2323 + -1483. Let o = b - 840.5. What is the nearest to 1\/3 in 0.4, -2.1, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from eeeeleelerwcet.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 11:33 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9. Suppose j = 3*v - 6*v. Put 5, 1, v in decreasing order.\nAnswer: 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*c + 56. Let d = -2961 + 2921. Let l = c + d. Solve -l*q - 10 = 0, -5*o - 4*q - q = 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2. Let j(f) be the third derivative of f**4\/12 + 14*f**2. Determine a(j(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 20. Let r(u) be the first derivative of -1\/3*u**2 + 16\/9*u**3 - 8\/3*u**x + 2 + 0*u. Determine m so that r(m) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175322 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4926 + 4926 - 31*c**4 + 2*c**2 - 14*c**4 - c in the form p*c + r + d*c**2 + i*c**3 + f*c**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -607 and 298.14.\nAnswer: -180970.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4790, 32, -32, 6 in ascending order.\nAnswer: -32, 6, 32, 4790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 22. Let o(j) = -3*j - 11. Let z(w) = -5*o(w) - 2*p(w). Let v = -7 + -2. Let c be z(v). What is the second smallest value in -0.1, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(25\/15))\/(0 + 1). Do 1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 6718*j**3 + 36*j**2 - 22*j - 6702*j**3 = 0. What is j?\nAnswer: -3, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-164)\/17*8\/(-724). Let k = s - -2\/181. Suppose -u + 5*b - 6 - 1 = 0, b = 3*u + 7. Put u, k, 0.4 in increasing order.\nAnswer: u, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1880 * -0.04196.\nAnswer: 78.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + s - 31 + 6, -h + 4*s - 25 = 0. Let r = -586821 + 586822. Sort -11, h, r in descending order.\nAnswer: r, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2120978\/53775*(6 - 42435\/5180). Let t = 1103\/35850 - v. Let b = t + -606\/7. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*d**3)*(d - 2*d + 4*d) + (0 + 13 - 4)*(5*d**4 - 5*d**4 + 11*d**4).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 5*r**2 - 6*r)*(-3*r + 18 + 17 - 38).\nAnswer: 15*r**3 + 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 18198?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6645*r**4 + 6*r**3 + 6645*r**2 - 6*r = 0. Calculate r.\nAnswer: -1, 0, 2\/2215, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Let o(k) = 3697 - 430*k - 7401 + 3704. Calculate z(o(i)).\nAnswer: 369800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0526 - -5.558?\nAnswer: 7.6106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -211100 (base 7) in base 12?\nAnswer: -1909b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 - p + 2. Let q be z(2). Solve q = -3*i - 18 + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r + 4*n - 21 = 0, 5*r + n - 18 = 0. Find the third derivative of 31*a**r - a**2 - 17*a**3 - 5*a**2 wrt a.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + 1) - (-31 + 26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*i = -179 + 24, -3*i - 365 = -5*z. What is the units digit of (-308)\/(-3) + (z\/15)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132330 - 51745. Suppose 0 = -10*p + 31185 + f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/27776 and -163\/4624704.\nAnswer: 9249408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0374946991 to 5 decimal places.\nAnswer: 0.03749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -382\/7 - -4289\/70. Calculate the common denominator of i and -13\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 5*i**2 - i**5 + (4*i**2 + 3*i**2 - 5*i**2)*(4*i**3 - 5*i**3 + 3*i**3) - i**5 + 3 - 3 + i**5 - 5*i**5 - i**5 + 3*i**4 + i**5 - 3*i**4.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24330 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1256008534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3 + (-230)\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2. Suppose 2*c + 16 = 22. Let j(o) = 6*o**2. Determine c*j(r) + 4*h(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {o: 2, f: 2, q: 1, j: 1, y: 1, m: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 55*j = 51*j + 68, 5*q - 146 = -2*j. What is the remainder when 1240 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7836.999999059 - 7837. What is n rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 33 = 4*k - 167, y - 40 = 4*k. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.4 (c) -2\/257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00279587938 to 5 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1437*g - 1277 wrt g?\nAnswer: -1437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 3, k: 3, m: 2, d: 1, l: 3}. What is prob of picking 1 e and 2 k?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/6*(-2)\/3. Let z(r) = r + 1. Let u be z(w). Put 3, -2\/11, u in ascending order.\nAnswer: u, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(154)\/(sqrt(11) - (sqrt(176) + sqrt(11))))\/(sqrt(2) - 4*sqrt(8))*2)**2*2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Let a be ((-75)\/(-6))\/(3\/t). Let z = a + -1. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50\/7 - 47\/7. Which is the nearest to 6? (a) 1 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + m + 3)*(-3 + 1 + 0) - 7*m - 4*m - 18*m)*(4*m + 0*m - m) - 2*m**2 - 9*m + 9*m in the form d*m + w + h*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 + 2*t**4 + 4*t**3 + (-2*t + 2*t + t**3)*(5 - 5 + 3*t).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {q: 2, k: 7, f: 3, a: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23569 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 580 = 2*h - 5*z, 3*h - 354 = -3*z. What is the greatest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137047 is divided by 296?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -0.012 (c) 19 (d) 747\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.012, -8, 1, 900 in descending order.\nAnswer: 900, 1, 0.012, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 268043287 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*v + 3799 = -1614 - 10176 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k - 57. Determine t(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*i + 638*i = 28893 + 18098 + 60269 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3*3\/(-2). Suppose -3*l = -5*b + 83, -j*b - 3*b - 4*l = -111. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(126)*4)\/(-2*-1*sqrt(7))).\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) - sqrt(143)*4*2) + sqrt(143))\/((-1*sqrt(88) - sqrt(88))\/sqrt(8)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6570 = 4*a - 3158. Suppose 0 = 6*z + 386 - a. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351612765.\nAnswer: 3, 5, 7, 19, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.08 - 4.08. Which is the smallest value? (a) 0.03 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/5)*k**(4\/9)*k)**(1\/37) assuming k is positive.\nAnswer: k**(29\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -95 - -5?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -155*g**2 - 4649*g + 41. Give o(-30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/5100*-15)\/((-4)\/(-34))*-14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/159 and 27\/25546.\nAnswer: 76638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 6. Let y be a(11). Let i(o) = -o**3 + 2*o**2 + o - 4. Let r be i(3). Let f = r + y. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269 or -268?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h - 3. Let y be w(-5). Suppose 3*l + 0*t - y = 2*t, -4*t + 16 = 4*l. Find the second derivative of -6*z**4 + 3*z + 0*z**4 + l*z**4 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4 + 2 - 6 + 2*i. Let r(k) be the first derivative of -17*k**2\/2 - 2. What is r(t(v))?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - 73. Let b = 87 + k. Let a be 2290\/(b\/2 + (-1001)\/(-2000)). Round a to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*a + 21, -561*d - 72 = -7*a - 566*d - 1 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 27 + 32 + 17 + 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4693753934.\nAnswer: 2, 23, 293, 348253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 1570 in increasing order.\nAnswer: -0.5, 5, 1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 1 (c) 1.3 (d) 0.02 (e) -0.794 (f) -19\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.10411726 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 3814591594889.\nAnswer: 3814591594889.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = o - 10. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759268877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22 = 3*c, -3*c = -5*r + 2 + 26. Let j be (-1)\/c*(-4)\/(-4). What is the units digit of j - 0\/(-5 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (-47 - (-2 - -1)) is divided by 1771\/46 + -39 + 50\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5 = 8*r - 8, -11*k + 2 = -13*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645 (base 10) to base 7.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.02, 1732\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/4)*k)**31)**(2\/27))**(-1\/6))**(-45) assuming k is positive.\nAnswer: k**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/117570 and -69\/215545.\nAnswer: 1293270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 205.3074 millilitres?\nAnswer: 0.2053074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099529 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) - (-6)\/(-18). Let r = t + 3. Suppose -r = y + 1, 0 = 2*l + 4*y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222415263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18737*z = 18732*z - 3*j + 23, 0 = 2*z + 4*j - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-180)*-5*4\/(-24)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z - 1\/2*z**2 + 23. Let t(l) = 7 - 5*l - 22 + 16. Calculate v(t(g)).\nAnswer: 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 0*d + 3*d)*(-2*d + 0*d + 6*d) + d - d - d**2 + 20*d**2 + 1551 - 1551 - 2*d to the form u*d + n + h*d**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - f = 36, -34 = -3*m - 2*f + f. Suppose m = -2*y - 2. Let d(x) = -x**3 - 7*x**2 - 6*x - 4. Let r be d(y). Let l(n) = -2*n**2 - 5*n + 4. Give l(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219.9 - -0.4.\nAnswer: 220.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o**2 + 2*o + 9. Let y(c) be the third derivative of -c**5\/60 + c**3\/6 + c**2 + 118*c. Determine 18*y(m) - 2*z(m).\nAnswer: 2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0.16\nAnswer: 5.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1745, -4, 13086 in increasing order.\nAnswer: -4, 1745, 13086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 170 + 70b?\nAnswer: 87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26010 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*m - 193894000 = -144*m. What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p - d - 2008, 5*p = 3*d + 2014. Let b = p + -394. Let f(w) = -w**2 - 10*w. Calculate the least common multiple of b and f(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*s - 16 + 16)*(5*s - 3*s - s) - s**2 - 5*s**2 - 5*s**2 + (-2*s - 4*s + 4*s)*(0 + 0 - 2*s) to v*s + t*s**2 + m and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 30154 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*515.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1251 - 15928?\nAnswer: -16b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -5*b**7\/14 - 17*b**4\/12 - b. What is the third derivative of u(a) wrt a?\nAnswer: -900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*i = -78*i - 42. Suppose 0 = 2*q - i*w - 679, -30*w + 34*w - 20 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/12*(-8)\/3. Suppose -3*y + 3*w - w = -208, 3*y + v*w = 214. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39908, 39911, 39916, 39923, 39932, 39943, 39956?\n\"Answer: t**2 + 39907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:57 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**3 + 5*x**2 + 26*x + 5. Let t(w) = 8*w**3 + 6*w**2 + 25*w + 6. Calculate 6*m(j) - 5*t(j).\nAnswer: 20*j**3 + 31*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101201222 + -2100222?\nAnswer: 20022101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17900 and 39380?\nAnswer: 196900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201 - (-38006)\/186)*45\/2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-70)\/49)\/((-4)\/(-28)) - -5. Sort 2, z, -12.\nAnswer: -12, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e41 - -4?\nAnswer: 1e45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*a - 33 = -68, j - 40 = 7*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075673 divided by -1?\nAnswer: 1075673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-85))\/(16\/(-136)). What is the second derivative of r**5 + r + 64*r**4 - 357*r**2 + 357*r**a - 1 wrt r?\nAnswer: 20*r**3 + 768*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:10 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 55a?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -81, -4\/7, -0.27 in increasing order.\nAnswer: -81, -54, -4\/7, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -6082, 18, -3 in descending order.\nAnswer: 18, -3, -6, -6082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-84)*(2 - -2). Let a = -43.8 + 33. Let j = 11 + a. What is the smallest value in -0.3, h, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 = 5*c - q, -6*c + 8*q + 198 = 11*q for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4369*q**4 - 101*q**3 - q**2 + 806564?\nAnswer: -104856*q - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*k + 5*x, -4 + 10 = -k - 5*x. Calculate the remainder when 18\/5 - ((-132)\/(-30))\/k is divided by 4 - 3\/(3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/306920 and 131\/2208?\nAnswer: 84709920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 220978, 441956, 662934?\n\"Answer: 220978*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 7*p**2 + 7*p - 4. Give i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1535331\nAnswer: -4\/1535331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + j**2 - 141*j**4 - 21*j**3 - 141*j**4 + 278*j**4 to q*j**4 + r + z*j**3 + u*j + c*j**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66090 = 3035*a - 832*a for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.3045517352+-85\nAnswer: -75.6954482648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:03 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:19 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101000000100010111000 (base 2) to base 5\nAnswer: -314003302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*v + 41*v**3 + 48*v - 97*v.\nAnswer: 41*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c**2 + c + 1. Let y be t(5). Suppose 5*g - 24 - 1 = 0. Suppose -g*p + 14 = -y. Solve 3*s + p = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*b + 2*b = -180, t + 2*b = -40. Let j = t - -66. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -11 - (-11 - (20 + 11 + -14 + -11))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3 + 18*p**4 - 79*p**4 + 6 - 4*p**3 - p wrt p.\nAnswer: -732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 2*b**2 + 4*b + 7. Let p(v) = 109*v - 438. Let m be p(4). Determine t(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2540 + 2539.6. Let i = -0.21 + 2.21. Sort i, c, -1.\nAnswer: -1, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*c - 0. Suppose -3 = -2*z + c. Solve -q + 2 = v, z*v - 17 = 4*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3767632?\nAnswer: 2, 11, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q + 6*q. Suppose q = 4*u + 16 - 0, 0 = 3*p - 4*u - 331. What is the highest common factor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. Let u(s) = -i*s + 4*s**2 - 5*s**2 + 8*s. Let n be (8\/(-4))\/(2\/(-4)). What is u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 39. Solve -k + 4 = l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, -2\/17, -13 in increasing order.\nAnswer: -14, -13, -5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33839 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3 - 605786*l**2 - 45871176032*l + 137618980224 = 0.\nAnswer: -151448, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 3. Suppose 5*q + 5 = -10. Let u(m) = -6 + 1245*m**2 - 2489*m**2 + 1240*m**2. Calculate q*u(a) - 5*n(a).\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 207802274359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107558 - 43182. List the prime factors of b.\nAnswer: 2, 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -9579, 7, 0, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 143025, 143046, 143075, 143106, 143133, 143150, 143151, 143130?\n\"Answer: -y**3 + 10*y**2 - 2*y + 143018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:11 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 7 = -3*u - v, 4*u - 2 = 5*v. Suppose -5*r + 4*b = -12, 0*b + 5*b = -u*r + 22. Suppose 3*p = -0*p. Solve p = -l - r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 440*c**2 - 142*c + 1. Let a(x) = 11*x. Calculate q(a(o)).\nAnswer: 53240*o**2 - 1562*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jryxyrurrqxy. Give prob of sequence yy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = -2069*r + 2067*r, 0 = -r. Let u(c) = -c**2 - 5*c + 1. Let i be u(-4). Solve 0 = -5*o + b*a - i, 3*o + 9*a - 18 = 5*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -46. Suppose 99 = 4*a + v*a. Suppose -5*d + 0*d + 15 = 0. Solve w - 4 - a = -d*x, -3*w = -9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -627 + 688. What is the remainder when h is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2. Let x(a) be the second derivative of a**3\/3 - 251*a. Give r(x(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = -11*s - 1307. Let u = 362 + s. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((-1 + sqrt(343))*-4 - (3 + 0 + sqrt(343))) + -3)*-5)**2.\nAnswer: 3500*sqrt(7) + 214479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6234 and -6\/9811277.\nAnswer: 58867662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1653 + 1656. Let o(m) = -2. Let y(c) = c**2 - 18. Let k(p) = -18*o(p) + 2*y(p). Calculate the remainder when 35 is divided by k(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbh when three letters picked without replacement from {o: 1, h: 3, w: 2, b: 4, j: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11915*s*t**4 + s*t**2 - 33*s*t - 4*t**3 + 146*t**2 wrt t.\nAnswer: 285960*s*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43852 and 10.\nAnswer: 219260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**2 - 151*y + 83. Let r(l) = -6*l**2 + 76*l - 39. Determine 7*r(i) + 3*s(i).\nAnswer: -3*i**2 + 79*i - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 1. What is t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2932178131 rounded to the nearest one hundred thousand?\nAnswer: -2932200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, a: 5}. Give prob of sequence gga.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*6*4\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5954078 is divided by 10501.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppvppvppvpvvvvvv. Give prob of sequence ppp.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 356709199 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 50. Let g(c) = 10*c - 126. Let p(v) = 5*g(v) - 12*t(v). Let r be p(14). Let k(x) = 2*x - 1. Calculate k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 6. Let n be a(-3). Solve 0*i = n*i + 3*o - 27, -20 = -4*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2276 + 536 - 2001 = 87*d for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*p**3 + 173 - 173)*(2 - 3 - 3) as t*p**2 + d*p + g*p**3 + f and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*x - 1 + 897530*x**2 + 0 - 897521*x**2 in the form u + n*x + o*x**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034182601 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h**5\/5 + 303*h**4\/5 + 249*h**3\/5 - 381*h**2\/5 - 237*h\/5 + 78\/5 = 0. What is h?\nAnswer: -1, 1\/4, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210794776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l + 75. Suppose 0 = 3*z + u - 9 - 6, 4*z = -3*u + l. Solve 2*r - r + z*t = -21, 3*r = 3*t + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.1294us in milliseconds?\nAnswer: 0.0491294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 1. Let h(u) = -7*u + 5. Let a(t) = t. Let m(s) = w*a(s) - h(s). What is the units digit of m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1906662*h**3*w**2 - 9*h**2*w**2 - 43*h**2 - 221*h*w**2 - 5*h - w wrt h.\nAnswer: 11439972*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.787 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -960 by -16.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1446 divide 76172388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6)\/z*z*z**2*z*z**(-7)\/((z**(-7)*z)\/z) assuming z is positive.\nAnswer: z**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/261 and 17\/2883093.\nAnswer: 8649279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35316490 divided by -1595\nAnswer: 22142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 16) to base 9\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 763 times 0.03\nAnswer: 22.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(2\/17)*t)*t)**(3\/5) assuming t is positive.\nAnswer: t**(6\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56279657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**4 - 1066*v + 1401 wrt v.\nAnswer: -16*v**3 - 1066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 74037.81 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28aca (base 14) to base 15.\nAnswer: 1ed82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(931))**2 + -4 - (0 + sqrt(931) + 3*sqrt(931))**2.\nAnswer: -11176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**2 + 4*i + 5*i + 195 - 124 - 3*i - 6*i**2 in the form x*i**2 + t*i + k and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453560.\nAnswer: 2, 5, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 18 + 14. Suppose 160 = 4*c + j. Let z = 58 + c. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127001242*j**4 - j**2 + 26*j - 37866 wrt j.\nAnswer: 3048029808*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 10, y: 2, q: 2, v: 2}. What is prob of sequence vvy?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6798 + 12528. Calculate the greatest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298504 = -197*s - 36296 + 446598. Calculate the remainder when s is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (0 - 1) - 3. Let g(h) = h + 5. Suppose 2*w - 16 = -2*w, 0 = -5*n - 2*w + 128. Let f(y) = 46 - n - 23 - 2*y + y. Calculate p*f(a) - g(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 4*w**2\/3 + 5*w\/3 - 2\/3.\nAnswer: (w - 2)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 175*p + 1302. Determine s(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(84) + (sqrt(84) - -2*(sqrt(84) - -1*sqrt(84))))*2)\/((-5*(sqrt(132) + (sqrt(132) - (sqrt(132) - 4*sqrt(132)))))\/sqrt(11)*2).\nAnswer: -11*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**3 + 2 + 277*z + 7*z**2 - 279*z + 0 - 26*z**4 + 9*z**3 to v*z + q + i*z**3 + u*z**4 + t*z**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -19*h + 27. Let j be m(6). Let l = j - -239. What is l rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 3*v**2 + 4*v - 13. Is x(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -27. Let f = w - 15. Let c be 58\/42 - 1 - (-932)\/3262. Put c, f, 0 in decreasing order.\nAnswer: c, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:50 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 18. List the prime factors of g(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 781973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (24 + 129 - 114) + -86\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*k + 252, 420 = 3*z + 2*z + 3*k. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 9*s**2 - 13*s + 1. Let z be d(6). Let b = z - 23. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*q = 324*q + 682. Solve 18*u - 7 = q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37098976.\nAnswer: 2, 617, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 2064*t + 8320.\nAnswer: -4*(t - 520)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = -2*r + 50008. What is r rounded to the nearest 10?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 132?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504231552.\nAnswer: 2, 3, 11, 39791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 - 2*g - 4. Let h be z(-7). Let r = -5 + h. Let u = -1146\/7 - -164. Which is the closest to -0.1? (a) u (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**23\/g)**11*(g**(5\/6)\/g)\/(g*g**(1\/17)) assuming g is positive.\nAnswer: g**(24559\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 273*d**4 + 559*d**4 + 126*d + 0 - 283*d**4 in the form a*d**4 + h*d**3 + g*d**2 + c*d + k and give c.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = i - 0*h - 19, 0 = -4*i - 4*h + 44. Suppose -5*g - 2*m = -36, g + 5*m + i = 6*g. What is the units digit of g\/(-33) - (-136)\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)*n**(-2\/37) assuming n is positive.\nAnswer: n**(-816\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmzmmzmmmmmmmmmm. What is prob of sequence mm?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2 - 1)\/1. Suppose -4 = 2*y, 2*a = -3*y - p*y. Let d(h) = -h - a + 3. Let s(v) = 2*v**2. What is d(s(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1594, 1569, 1526, 1465?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3041142 - 10430?\nAnswer: 3030212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -206, -415, -622, -827, -1030, -1231, -1430?\n\"Answer: u**2 - 212*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 863833 or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2878)\/21585 + 3\/(-90)*-934.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -212a1 (base 16) to base 8\nAnswer: -411241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + x**2 + 16078*x**3 + 0*x + 1 - 15606*x**3)*(-2*x + x - x) to c*x**2 + i*x**3 + g + f*x + h*x**4 and give h.\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 56 and 81.0162071.\nAnswer: 137.0162071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m)*(-13 + 13 + 5*m)*(-118*m**2 + 118*m**2 - 59*m**3).\nAnswer: 295*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8484055.\nAnswer: 5, 1696811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.2 (b) -0.3 (c) 0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302354*x - 1301657*x = -27183 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -256, -558, -862, -1168, -1476, -1786?\n\"Answer: -g**2 - 299*g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.599 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -66149566 to the nearest 100000.\nAnswer: -66100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 2. Let v = -8 - -9. Let h be s(v). Suppose 3*l - 909 = -3*z, 4*l + 630 = -h*z + 5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 219*k + 2. Let v(x) = -391*x**2. What is z(v(t))?\nAnswer: -85629*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**4 - 312*n**3 - 6084*n**2 = 0.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 66, 112, 176, 264, 382, 536?\n\"Answer: s**3 + 27*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/4)\/((-1)\/4). Is 11 - (-2)\/3*b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1059786390 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 71?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007313013 rounded to 6 decimal places?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:06 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (0 - -1 - (16 + -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141413759 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13052728.23 rounded to the nearest ten thousand?\nAnswer: -13050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1054.2 + -1054. Which is smaller: f or -1141?\nAnswer: -1141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 0*g**3 + 3*g**3)*(58*g + 18*g**2 - 58*g) + (-2*g**4 - g**3 + g**3)*(g + 3 - 3).\nAnswer: 34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5696)\/4)\/(91\/((-1456)\/256))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9189260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:15 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - d6?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 16 = 0, -4*f = -a - 496 + 488 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*t - 666*t + 330*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnfhfnknnnkwfnhfkkgg. Give prob of picking 1 w, 1 h, and 1 k.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2)\/((-3)\/(-15)). Suppose i - 93 = 65. Suppose -z*t = -593 + i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(832)*-6*5)**2.\nAnswer: 11980805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 5*g**2 - 6*g. Let k be w(6). Let n be 8\/(-12)*15\/20*6. Sort n, 1, k, -4.\nAnswer: -4, n, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 5. Let n be t(5). Let s(r) = -n - 3*r + 10. Let f(u) = -4*u**2. Let v(d) = -d**2. Let i(c) = -f(c) + 3*v(c). What is i(s(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.7 - 51. Is -3 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48850726 + -616747.6?\nAnswer: -49467473.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 3.3. Let s = y + 8. Let a = -0.3 - -0.2. Sort a, s, -1 in increasing order.\nAnswer: -1, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 0*m**5 + 2*m**5 + (-3*m**3 + 0*m**3 + 6*m**3)*(17*m - 17*m - 15*m**2) + (-5*m + m + 3*m)*(4*m**4 - 3*m**4 + m**4).\nAnswer: -46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let o(d) = 8*d - 2. Let h(q) = o(q) - 4*r(q). Let w be h(2). Let j(i) = 5*i - 9. Is j(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9278 rounded to one dp?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and 1116.351?\nAnswer: 1115.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sivvsvzisqvxqzvqxiz. Give prob of picking 2 z and 1 i.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -771.2591806.\nAnswer: -776.2591806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-3 - 27 - 3)*(4*d**3 - 328*d**5 - 333*d**5 - 3*d + 659*d**5).\nAnswer: 66*d**5 - 132*d**3 + 99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142233448 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 10, -5*o = -w + 20. Let x(h) = 2*h + 10. What is the units digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 - 3*g + 4. Let l(c) = -c**2 + 10*c - 2. Calculate the lowest common multiple of k(-6) and l(8).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by 80.\nAnswer: -231\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3 + (-9825)\/(-3150)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - j**2 + j. Let n be m(1). Let s be (-2 - 2)*(-9)\/4. Let q = s + n. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -0.099 (c) -3 (d) 0 (e) -5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(-112)\/42. Let j(i) = -i**3 - 14*i**2 + 8*i + 10. Let n(y) = 2*y**3 + 27*y**2 - 17*y - 19. Let t(a) = b*n(a) - 7*j(a). What is t(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/9 + 980*g**4\/9 - 4562*g**3\/3 - 88424*g**2 + 1475880*g = 0?\nAnswer: -502, -30, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -164740 - -44314008\nAnswer: 44149268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = 5*u, -y = 4*u - 2*y - 9. Let l = 114 - 113.4. What is the fourth biggest value in 5, l, 2, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/6, 4, 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r - 3*r - r)*(-4 + 5 - 2) + (3*r + 2 - 2)*(2 - 5 + 4))*(-2 + 15 + 6).\nAnswer: 133*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. Suppose -4*w + 5*w - 3 = 0. Solve 5*k = 3*j - 14, -w*k - 16 = n*k - 2*j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 6*i + 142. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.574*-0.2\nAnswer: 1.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)\/(k**(-1)\/k))\/(k**(-1))**(-6))**(3\/5) assuming k is positive.\nAnswer: k**(-54\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 13*u - 5*u**2 - 13*u wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19708 by 663.\nAnswer: -1516\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*z - 17 = 0, 16 + 4 = 5*z. Let w(r) = -m + 4*r - 6*r**2 + 3*r**2 + 2*r**2. Let h = -25 + 28. Give w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 6*z**2 + 8*z + 5. Let d(n) = n**3 + 9*n**2 - 6*n + 25. Let q be d(-7). Let c = q - 170. Calculate f(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 131, 134, 137, 140?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -6 - (-103 - -115).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -1\/12*u**4 + 15*u + 0*u**2 + 2 + 0*u**3. Let m(r) be the first derivative of d(r). Let h(t) = 2*t. What is m(h(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 - 445876804*s + 24850765543156802 = 0.\nAnswer: 111469201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*x - 36 = 2*x, -44 = 4*p - 3*x. Let m be 1\/4 + p\/(-8). Suppose -o - 1 - m = 0. Put o, 2, -1 in decreasing order.\nAnswer: 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:31 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-14)\/(-63)*(-9)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t + 30*t + 5040. Let z = t + 353. Are -27\/4 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1891755 and 6561.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.097465 times 37\nAnswer: -3.606205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 15*n**2 - 34*n + 3. Let m be x(-17). Let y(q) be the first derivative of 0*q - 1\/4*q**4 + 4\/3*q**m - 2 - 3\/2*q**2. Factor y(w).\nAnswer: -w*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*j = 6*j - 5269, 8781 = 5*k + 3*j. Is 61 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -792, -2351, -3910, -5469?\n\"Answer: -1559*x + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42493 + -0.32493. Let i = 0.2 - 0.3. Let d = i + -0.9. Which is the closest to 1? (a) d (b) 1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-3))\/d**(-1\/2)*(d\/((d\/(d\/d**(-7)))\/d*d))\/(d\/d**(-3\/7)) assuming d is positive.\nAnswer: d**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and (-76)\/(-20) + 5\/25 + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11953 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1 + (-4 + 1 + 1)*(2 + 2 - 2) - 3 + 3 - 12)*(2*l + 2*l - l).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4982388 decades to millennia.\nAnswer: 0.004982388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354*w**2 + 298*w**2 - 11*w - 1 - 6820*w**2 + 11*w to k + m*w**2 + z*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 9*z + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 9*h - 26. Let w be l(3). Let y(v) = -3*v - 6. Let d(b) = 13*b + 24. Let c(m) = -2*d(m) - 9*y(m). Calculate c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2)\/(-1) - 35\/(-7)*200676\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172 and 11?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*s + 255, -4*v + 4*s = -6*v + 180. Calculate the lowest common multiple of 316 and v.\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 - 205. What is the third biggest value in 3, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:28 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324071167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -29143?\nAnswer: -2913a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 247193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111101 - -100111100110?\nAnswer: 1110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 346 and 3964.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 4604?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 9*s - 19. Let k be h(-5). Let f be ((-69)\/(-46))\/(k\/2). Which is the third smallest value? (a) 4 (b) f (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204\/((-1 + 16\/14)\/(318\/106)) a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 592833706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 1. Let y be z(3). Suppose n - 128 = y. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1508909 - 136.\nAnswer: -136.1508909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168766 + -168764. Suppose 0 = 2*v + i - 7, 5*i + 3 = 5*v + 8. Solve -3*f + 2*s = 7*s + a, -v*s - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + sqrt(272))*3)**2*-4.\nAnswer: -15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2491.88 + -43209666?\nAnswer: -43212157.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 19. Let q be 4 - (o - 0)\/(-2). Differentiate 0*t + 0*t - 6 + 17 + q*t**2 wrt t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*l - 600*l - 1141*l = -22238 - 56440 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.288 + -0.018. Let k = s + -0.07. Let j = -7799 + 7800. Sort 6, k, j in descending order.\nAnswer: 6, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.6 + 9. Let r = -0.02 + 0.12. Let k = 0 + r. What is the closest to k in 2\/3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m - 22 + 3*m - m + 28. Suppose 2*g - 63 = -15. What is the remainder when f(5) is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/16, 1\/3, 9\/11, 9, 0.4, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 + 11 + 10)) + 4 + -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -20. Let h = q + -13. Let y(k) = -k**3 + 8*k**2 - 7*k. What are the prime factors of y(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 54.96. Let i = t + 0.04. Let p = 0.9 - i. Which is the second biggest value? (a) -4 (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4895850, 9791703, 14687556, 19583409?\nAnswer: 24479262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27872 + 27897. Solve t*k = 90*k + 195 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 350*j**2 - 2752*j + 5472.\nAnswer: -(j - 342)*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s + s + 4*s - 3 + 30*s**2 - 16*s - 10*s**2 in the form f + u*s + i*s**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 2) + (-11 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7))**2*-4 - (5 + 2*sqrt(7))) + 4.\nAnswer: -29 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-1\/11)*i))**(-1\/55) assuming i is positive.\nAnswer: i**(23\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/96*(6 - -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 44 - 14 - 80*a.\nAnswer: -80*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22280468 and 14?\nAnswer: 22280468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-99)\/(-308))\/(24\/(-28)). What is the biggest value in -0.1, 1\/5, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.009 - 0.082. What is n rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 1. Let q(w) = -24*w - 34. Let x(y) = -4*a(y) - q(y). Does 13 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to 230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 45, 14\/9, -3?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, 5, 6, -124, -2710?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 25.9 (b) 6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -154814 > 0.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:24 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = 1. Let x(r) = -4. Let m(j) = -11. Let c(q) = 3*m(q) - 8*x(q). Let b(v) = v - 2. Let t(d) = -b(d) + 5*c(d). Determine t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -4 (c) 7.72 (d) 2\/13 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -12*w + 236. Suppose 2*f + g + 53 = 6*f, 0 = -3*f + g + 40. Is f at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1974644 and 8411.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252653 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20121683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*((3 + 0 - 1)*(502*l + 575*l - 288*l) + 7*l - 8*l + 4*l).\nAnswer: 3162*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*(v**(2\/39)\/v*v*v)\/v)\/((v**(-7\/4)*v)\/(v*v**(-1))) assuming v is positive.\nAnswer: v**(1841\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139 (base 10) to base 8.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence san when three letters picked without replacement from {k: 8, s: 3, a: 3, n: 2}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1255549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.1. Let o = -0.7 - -3.1. Let k = o + -2.8. Which is the closest to s? (a) k (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 2580.\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199106527.\nAnswer: 199106527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from zzzzzzzzbb.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/6 + 289*i\/6 + 48 = 0.\nAnswer: -288, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 + 4?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*9*(-6496)\/1827)\/(9\/(-27)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121100022 (base 3) to base 16.\nAnswer: -1fbdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25441 - -34?\nAnswer: 25515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2*24\/32. Suppose 2*o = 0, 2*z - z + o - 3 = 0. Suppose 0 = -z*c + 4*c - f. Sort 3\/5, -4, c in increasing order.\nAnswer: -4, 3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*143.2.\nAnswer: -2291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 76 - 230. Let v(i) = i**3 + 9*i**2 - 4*i - 25. What is the hundreds digit of v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105\/101 + -35377\/23634. Let j = 11\/18 + o. Let t = 1.7 - 0.7. Which is greater: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 578\/(-1904) - (2 + 34\/(-14))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859798057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*o + 152. Suppose 3*h + 0*h + n = o, 2*h - 29 = -5*n. What is the smallest common multiple of h and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 6*h**2 - 6*h**2)*(-1 + 4*h - 2*h + 0*h).\nAnswer: 6*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11008 and 131666?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/343)\/((-144)\/(-504)))\/((-2)\/7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 385.111.\nAnswer: 34.65999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33.26? (a) -0.3 (b) 3 (c) -3.6 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 602*c - 1804. Let v be j(3). Solve 23 = 3*k - 4*l, -34 = v*k + 5*l - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 - 8*r**4 - 48*r**3 - 56*r**2 - 20*r.\nAnswer: 4*r*(r - 5)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -416 in 0.3, 56\/5, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaooooooaooaoaaooooo. Give prob of sequence oo.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 + 409*w**2\/5 + 9336*w\/5 - 101376\/5.\nAnswer: (w - 8)*(w + 33)*(w + 384)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/31 and -32\/49377.\nAnswer: 1530687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 3:35 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180720 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1447 - 1000. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 53\/4 of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 24509*s - 20 = 24514*s, -2*u = -s - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7250 - -12089. What are the prime factors of j?\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-1 - -6) - (-3 + 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 - 12*n**3 - 503*n**2 + 1578*n - 1064 = 0 for n.\nAnswer: -19, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 - -1)*3)\/(-1 + 4). Are -2\/577 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98577*r + 5444*r + 156774*r - 15472*r.\nAnswer: 245323*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5877*l + 352680. Give b(60).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(66*114\/526680).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01223373314 rounded to 4 decimal places?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1414238 and -61\/317482.\nAnswer: 15556618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/5))**(21\/2))**47)**6 assuming u is positive.\nAnswer: u**(-5922\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vootttdvtovtttttttvt. What is prob of sequence ovv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -259\/6. Let j be (-4)\/(-3)*3\/5. Let r = -1021\/6 - -335\/2. Which is the second smallest value? (a) g (b) r (c) j (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n - 4. Let y be j(-4). Let u be 4\/(2 + -4) - -52. Calculate the greatest common divisor of u and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24092 divided by 317.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x**2 - 2*x)*(-x**3 + 2 - 2) + x**5 + 2*x**5 - 5*x**5 + (-1 - 4 + 2)*(-x**4 + 2*x**3 - 2*x**3)*(-3*x + 0*x + x).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 449 + -436. Suppose -2632 = -a - k*a. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1779 - -1780. Let g be (-43)\/3 + 12\/(-18). What is the least common multiple of z and 14 - (-5)\/(g\/9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-147) + 210375\/(-9163)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -a + 5*a + 29, 5*a + 25 = 0. Suppose 2*m = 0, 0*b + 4*m - n = -3*b. Let c = 0 - -4. Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5932091*r**2 - 85*r - 8*r**3 + 85*r - 5932091*r**2.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from wtttwtwwtwiww.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f**2 - f**2 - f**2)*(0*f + 4*f - 3*f) + 0*f**2 + f**3 + 0*f**2)*(-3*f**2 + 5*f**2 - 4*f**2 + 19*f).\nAnswer: 4*f**5 - 38*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346064 and 2752?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*o + 3*o. Let t(n) = -n**2 - 19*n - 15. Let a be t(-18). Sort -2, a, o.\nAnswer: -2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*y + 8 = 4*c, 5*c = -3*y + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -12\/121 (b) -1\/9 (c) 2\/381 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 5*s + 11. Let k be v(-5). Suppose 9*r = 9 + k. Solve 4*t + 16 = -0*q - 2*q, 0 = -r*t - 3*q - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 66, 212, 488, 936, 1598, 2516, 3732?\nAnswer: 5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 - 5*c - 5. Let w(u) = 5*u**2 - 4*u - 4. Let h(v) = 4*o(v) - 5*w(v). Let s(l) be the first derivative of 11*l**2 - 5. Calculate s(h(g)).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17221*b**3 + 524 with respect to b.\nAnswer: -51663*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 - 2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 478189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 0.005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897414418?\nAnswer: 2, 307, 1461587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.915 - 1.415. Let i = -1 - 3. Let d = -0.9 + 1. What is the fourth biggest value in i, s, d, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 28 = -0. What is the common denominator of (-64)\/14 - g\/(294\/(-12)) and -19\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 400. What is the tens digit of 212\/10 + (r\/25)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 84*a**2 - 2*a - 466. Calculate m(84).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 6980*x + 459591.\nAnswer: (x - 27854)*(x - 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from {v: 3, u: 1, j: 3, i: 3, m: 4, n: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + h + 7 - 7. Let c(l) = -4*l. Determine s(c(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-33)\/(-6) + -2. Find w such that 1\/2*w**2 + x + w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5416 take away 1851?\nAnswer: -1848.4584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(-1)\/(-2) - (2 - 13552\/(-6710)). What is the nearest to 0.1 in 2\/17, -3\/7, u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 f when three letters picked without replacement from {t: 2, r: 1, f: 1, d: 1, g: 1, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c. Let y(n) be the third derivative of n**4\/3 + 7*n**3\/3 + 4*n**2 + 2*n. Give y(g(q)).\nAnswer: 40*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = r - 427, 2*r + 10*n - 6*n - 904 = 0. Suppose -k - r = -2*i, -4*i + 888 = -0*i - 3*k. List the prime factors of i.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7528.08337 + -8202.\nAnswer: -673.91663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 887 - 883. Solve -2*s = -4, t - s = i*s - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a factor of 36791391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 7446*c**3 - 22347*c**2 - 4*c + 29796.\nAnswer: (c - 7449)*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226478 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-2))*g*g**3)\/(g**(-6\/11)\/g**(-2\/5)) assuming g is positive.\nAnswer: g**(118\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2375 + 2504. Calculate the highest common factor of 1849 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116631*a*y**6 + a*y**2 + 12*a - 32*y**3 - 8*y**2 - 15*y - 1 wrt y?\nAnswer: 13995720*a*y**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 357 + 10155. What are the prime factors of p?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - -10 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, 40.9, -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1462241908 from -3.\nAnswer: 1462241905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -175, -5, 4 in decreasing order.\nAnswer: 4, 0, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 91 = 14. Suppose 5*l - q - 20 = 4, -3*l + q + 16 = 0. What is the units digit of 204\/f + l\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-10))\/(((-11)\/(-33))\/(5\/3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {x: 1, w: 2, l: 3, e: 2, q: 2, o: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514 - 2872*c + 19591*c - 514.\nAnswer: 16719*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*k + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 498\/27509?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = 75. Let a = 15 + w. Let p be a\/16 - (0 - -1). Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 29 = 9*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 1 = 12. Suppose b = -v + 66. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*3\/(-6)*(-2 - -12). Let z be ((-2)\/m)\/((-1)\/(-10)). Solve -5*h = -z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-12))\/(2\/(-6)). Let c = 108 + -104. Calculate the highest common divisor of c and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9384\/184*(-2)\/22 and (-17)\/(-2) + 0\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -16\/11*w - 18\/11 + 2\/11*w**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l\/l**39))\/l)\/l)\/((l*l\/l**(-23\/2))\/l))\/(((((l\/(l**(-5)*l))\/l)\/l)\/l)\/l)**(-1\/13) assuming l is positive.\nAnswer: l**(639\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**2 + 65*s**2 - 12*s**2 - 548 + 56*s**2 + 548.\nAnswer: 170*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.09338.\nAnswer: -0.018676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1460, 1338, 1010, 374, -672, -2230, -4402, -7290?\n\"Answer: -17*n**3 - n**2 + 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.028 - -0.017. Which is the fourth smallest value? (a) 1\/2 (b) -1\/7 (c) 0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 206, 342, 488, 650, 834?\n\"Answer: u**3 - u**2 + 132*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45180 divided by -7530?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1563*l + 28786 + 5600 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*c + 169*c = -54. Let d be (-30)\/(1 + 0) - (-6 + c). Is d greater than or equal to -167\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*l**3 + 8*l + 23*l**3 - 6*l + 19 wrt l?\nAnswer: 354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.49. Let j = 2.99 + w. Let t = 8 - j. Which is the third biggest value? (a) 0.2 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b - 3. Let a be h(-8). Let x = 19 + a. Let r = x - -22. 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 i(b) = -2*b**2 + 14. Let m(w) = 2*w**2 - 15. Suppose -61 - 81 = 37*v + 6. What is v*m(l) - 5*i(l)?\nAnswer: 2*l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/701 + -2118\/3505. Which is the fourth smallest value? (a) 0.042 (b) 0.4 (c) -0.4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303.2 rounded to the nearest ten?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from uuruccxucuc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5532.541 millilitres?\nAnswer: 5.532541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36799850 and 220?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16816*o + 1646*o - o**3 - 18462*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -997632*k**2 + 10392*k - 1732. Let r(w) = 1729*w**2 - 18*w + 3. What is 1732*r(n) + 3*x(n)?\nAnswer: 1732*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*3\/((-15)\/(-1)))\/(15\/(-32450)*-59).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3105 divided by -207.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1025555 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -3*q**5\/40 + 3*q**4\/8 + 6*q. Factor l(y).\nAnswer: -3*y**2*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15*b - 3. Let q be w(-1). Let m be 1413\/q - (-3)\/(-4) - -3. What is the common denominator of -2\/15 and (-2176)\/m - 2\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5976494324 - 5976494251.99999929. Let q = f - 72. What is q rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1*70\/6. Let i = d + 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:26 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12*m = -7*m - 33, -4*n + 23 = -5*m. Find the second derivative of w - 11*w**2 - 1 - 2 - n + 3*w**5 - w**5 wrt w.\nAnswer: 40*w**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 15, n: 5}. What is prob of sequence kk?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occo when four letters picked without replacement from oococcc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6874 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + 42\/4. Let g be (-8)\/t - (-2)\/5. What is the nearest to g in 1\/4, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201281 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - -4 - (-13 + 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1027*f**2 + 10*f - 27. Let q(w) = -1541*w**2 + 14*w - 41. Let o(k) = -8*a(k) + 5*q(k). Find the second derivative of o(x) wrt x.\nAnswer: 1022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 452 + -933\/2. Let t = 3833\/9 - 428. Find the common denominator of y and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10110110?\nAnswer: 10110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3539909 to 2 dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*a + 279 + 261 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14623940 divided by 4\nAnswer: -3655985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.61 and -926035261567.\nAnswer: -926035261565.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27558 and 270.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156 - 122 - 55 - 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5232 + -62825\/12. Calculate the common denominator of -67\/42 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m**2 - 5*m + 6. Calculate the lowest common multiple of 60 and o(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j - 2. Let u = -150 - -147. Determine t(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 13) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -47+-0.75\nAnswer: -47.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 - 10*y - 7. What is w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256)*5 - sqrt(256))\/(sqrt(32)*1))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k + 214 - 32 = -82. Solve -5*r - 17 = n, 12 = -3*n - k*r - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7257 and 177.\nAnswer: 7257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r = 32. Let a = 74 + -36. What is the remainder when a is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 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 -10164, -20317, -30450, -40563, -50656, -60729, -70782?\n\"Answer: 10*b**2 - 10183*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*p**4 - 11112049 + 11112058 - 2*p**3 + 2*p**2 - 4*p + 0*p in the form v*p**3 + n*p**2 + i*p**4 + g + q*p and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 686, 1010, 1334, 1658?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:34 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 37. Let o = 28 - v. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*x = -4*i - 2900970, -3*i + x = -8702965. Suppose -6*g + 2*t + i = -9*g, g - 4*t + 967020 = 0. What is g rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5058, -8, -11.\nAnswer: -5058, -11, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*u + 8*u + 7*u + (1 + 2 - 4)*(0 - 5 + 3)*(0*u + 4*u - 2*u) - 17*u + 14 - 14 to the form j + q*u and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*a**2 + 97*a**2 - 3*a**2)*((2*a + 2*a - 2*a)*(-5 + 2 + 4) + a - a + a) in the form w*a**3 + r + o*a + d*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 34*d - 31. Let l be f(-33). What is the third derivative of -176*m + 80*m - m**2 + 180*m**3 - m**2 + 6*m**l - 3*m**2 wrt m?\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**3 + 60*t**2 - 124*t - 1127. Give j(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 89943170.\nAnswer: 89943170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.6 + -7.6. Let t = -83.8 - -15.8. Let z = t + d. What is the second biggest value in 3\/11, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 25*o = 975. Let s be (-10)\/20*316\/2. Let g = o + s. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 - (-4 + -8 - -26) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus 0.657033?\nAnswer: -0.787033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(5))*-6 - (1 + sqrt(245))**2) - ((sqrt(5) - sqrt(245)) + -3 - ((-1 + sqrt(5) - sqrt(5)) + 5)**2).\nAnswer: -231 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207173 and 19065.\nAnswer: 3107595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 and 8*((-86)\/3)\/((-116)\/435).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 63\/2*h**4 - 24*h + 21\/2*h**3 + 27\/2*h**5 - 6 - 51\/2*h**2 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 192 = 4*k, 4*k - 3*a + 49 - 241 = 0. Let o be -4 - (-3)\/(18\/k). Solve -6*m + 4 = -4*p - m, m = o*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9993671 to the power of 1\/2, to the nearest integer?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpkkpppkppkpk. Give prob of sequence kpp.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - 110?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-1)\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-1508)*1682*3\/(-6)*1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Suppose 2*t - 43 = -5*j + 89, 4*j - 100 = 4*t. Is ((-25)\/(-2))\/x*j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccoooobbobpcboj. Give prob of sequence po.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + 2 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/45)\/((-10)\/(-450)). Suppose 2*q - 2*y - u = 0, -5*q + 3*y = -6 - 45. Solve -15 = 2*r + 3*r - 5*m, 5*r + 4*m - q = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*o - 3)*(2 + 2*o - 2)*(-151 - 88 + 132) to the form c + q*o + j*o**2 and give j.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 - 2*f - 8*f + 1330 + 0*f.\nAnswer: -10*f + 1147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azaeajljlaaada. Give prob of picking 1 j, 1 l, and 1 a.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/85)\/(z*z**27) assuming z is positive.\nAnswer: z**(-2378\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1. Let h(l) = -l**2 - 9*l - 2. Let s be h(-8). Let t(c) = 4*c + 5. Let f(r) = 5*r + 5. Let u(w) = -3*f(w) + 4*t(w). Determine s*g(n) - u(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.54 + -0.24. Let r = -2 - -7\/2. What is the fourth biggest value in 4, -5, o, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x**2 - 3*x**2 - 7*x**2 + (3*x - 2*x - 3*x)*(-1 + 3 - 1)*(-2*x + 2*x + 5*x) to h*x**2 + z*x + l and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -749 (c) 4\/3 (d) 62\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 16800 = -4*k, -5*k = -3*k + i - 8390. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {n: 1, d: 3, r: 2, e: 4, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 27. What is the remainder when d(-24) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615059869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*b**2 + 15 - 10 to i*b + n*b**2 + k and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111 (base 2) in base 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2 - 0) + (2 - 1) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 179, 421, 759, 1193?\nAnswer: 1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 15 = -5*a, -2*q - 4*a + 5 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -13*w + 183. Determine j(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -131. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2.75, -19, -1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 82 + 134. Let x = 30 - p. Suppose 5*j - 169 = 2*u, -4*j + x = -6*u + 3*u. Calculate the highest common factor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, w: 14}. What is prob of picking 1 w and 2 g?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -23. What is the highest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 51 = -0*j. Suppose -j = 5*r + 28. What are the prime factors of (-87)\/r - 1\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141161938*m**3*r**3 - 17162*m**2*r**3 + 2*m**2*r**2 + 17*m**2 - 14*m*r**3 + m*r + r**3 wrt m?\nAnswer: -846971628*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 a factor of 1096413645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 232796 = -14*v + 1173278. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824\/47 at least as big as 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1379, 5534, 12457, 22148, 34607, 49834?\n\"Answer: 1384*k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.19 less than or equal to -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8981, -17960, -26937, -35912, -44885, -53856, -62825?\n\"Answer: c**2 - 8982*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15764\/2 + 124 + -116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000648645562 to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 2*c - 20, -2*l - 81*c + 15 = -82*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1030, 910, 790, 670, 550?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = -3*c, 13*c - 1 = 3*z + 8*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4997 - -e1?\nAnswer: -48b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12995, 27486, 41987, 56504, 71043, 85610, 100211?\nAnswer: 114852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -13097\/2, 0.1, -1\/9, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390673386?\nAnswer: 2, 3, 21704077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 bigger than 208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 2*c - 38. Let y be ((-93)\/(-2))\/(-3) + c\/60. List the prime factors of ((-45)\/(-20))\/(((-15)\/y)\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.8 or -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 14. Suppose 0 = 2*h - 0*h. Is u(h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140265713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337 + 339. Let y(r) = r**3 + r**2 - r + 2. Let v be y(i). Solve 3*z - 8 = 4*f, 2*z + f = -3*f + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4407268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2728929 or -2728927?\nAnswer: -2728929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (3 - 1)\/2. Let m = 3 - q. Suppose -62 = -3*k + v - 16, 0 = m*k - 2*v - 62. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -2*f, 5*l + 5*f - 3*f - 31 = 0. Solve 4*h - 3 - l = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c - 6. Let r be h(-2). Suppose r = 6*k + k - 42. Suppose 3*d + k*a - 9*a - 639 = 0, d + 3*a = 193. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30257143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = x, 0 = -74*x + 75*x - 5*b + 8 - 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s + 78. Let h be v(-4). Solve -3*r - 6 = 3*p, -h = -5*p + r + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 divided by -5?\nAnswer: -656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2\/113, 1, 5, -4.\nAnswer: -4, 2\/113, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187221611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g + 1. Let v(o) = -20*o + 3. Let f = 12 + 29. Suppose 0 = -5*u - 11 + f. Determine u*v(i) - 17*b(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/4)\/((-154)\/88))\/(-15*(-15)\/(-1050))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49673 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-103)\/((-32445)\/(-270)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204 + 134. Calculate the common denominator of -1\/8 and 2 + (-3)\/((-24)\/h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) - (-296)\/56. Suppose 0 = 5*j - c*i + 3*i - 78, 3*j - 4*i - 58 = 0. Let n be (-4 - 11)*-2 - 2. What is the greatest common divisor of n and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 108. Let m(i) be the second derivative of 2*i**2 - i + 1\/20*i**5 + 0*i**3 + 1\/4*i**4 + 0. What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1253640354\/9281 + -135076. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2296 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(2 + sqrt(468)*2 + sqrt(468))**2.\nAnswer: 144*sqrt(13) + 8437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let w(h) be the second derivative of 0*h**2 + h + 1\/6*h**3 + 0. Determine w(t(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncqq when four letters picked without replacement from {c: 1, q: 2, t: 4, w: 4, n: 5}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 21716 - b**3 - 7*b**3 - 21742 + 43458.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*48\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19153*y - 22*o = -19151*y - 10, 3*y + y = -2*o + 62 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 - 5*h - 5. Determine u(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7423 - 17847 = -14*u. Round u to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-256)\/7 + 8\/14. Let r = -33 - g. Let x(m) = 26*m + 6. Let k(n) = 9*n + 2. Let s(i) = 17*k(i) - 6*x(i). Calculate s(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184\/(-42) + 14412\/8407\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-23 - -6 - -27) + -3 + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**3 + 19*l**2 - 14*l**3 + 27*l**3 + 67*l**3.\nAnswer: 101*l**3 + 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 531600 and 25?\nAnswer: 531600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/138*23)\/((81\/(-18))\/((-12)\/2))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31261565 divided by 6252313?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 5*l, 3*f + 343 - 349 = 3*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 11 = -5*z - 2*b, 4*z - 32 = -4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089555.\nAnswer: 3, 5, 19, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 greater than 5.257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21986212.59 from -1653.\nAnswer: 21984559.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:25 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141834 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2423371.\nAnswer: 569, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.59 + 1.41. Let m be (-34)\/(-969)*57 + (1 - 4). What is the nearest to 0.1 in m, -3, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -735 + 736. Sort c, -11, -1 in decreasing order.\nAnswer: c, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -11242.\nAnswer: 13\/11242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-8 - (8 + -6)) + 3 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = 7. Suppose 2*a = a + l*p + 10, 4*a = 4*p + 88. Let b be a + 1 + -5 - -4. Solve -5*z + b = -5*t, 8 = 2*z - 4*t - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10785.72694 to the nearest 10.\nAnswer: 10790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30001 (base 4) in base 5?\nAnswer: 11034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4 - 22*u + 3*u + 0*u - 5*u. Let k(p) = -p**2 + 9*p - 3. Let b be k(9). List the prime factors of i(b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 6*q + 442. Let p be f(0). Let c = 28 + p. List the prime factors of c.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85417985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8362, 16110, 23858, 31606, 39354?\n\"Answer: 7748*v + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from lrc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12835521 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60532860 a multiple of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 3845 less than -1\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3660 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 5*k = -423, 90*p - 4*k - 132 = 86*p. Suppose 0 = -3*v + 3*c + 9, -4*v = 4*c - 0 + 4. Sort v, -2, p in ascending order.\nAnswer: -2, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2\/1) + -12. Let b be (1\/((-2)\/i))\/(-1). Let d(w) be the second derivative of w**4\/12 + w**3 + 2*w**2 + 7*w. What is d(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 - 4*b + 5. Suppose 14 + 6 = 4*a. Suppose s = -a - 0. What is the units digit of j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5 + 11. What is the second derivative of 2*n**2 + 7*n**t + 3*n**2 - 2*n wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -44*y - 60. Determine g(-4).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = 2400. Is 20 a factor of (12\/8)\/(9\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 13*m**2 - 18*m + 15. What are the prime factors of b(-14)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -2131*h**4\/12 + 4951*h**3\/6 - 3*h**2 + 20*h - 1. What is the first derivative of t(c) wrt c?\nAnswer: -4262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 31*o + 2153. Let r be w(-64). Solve -50*h - 81 = r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -24 in decreasing order.\nAnswer: 4, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 5 = -3*t - 25*i, -5*t - 11 = -2*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/4)*w\/w**(-1)*w**(1\/4)*w**(4\/3))**(6\/11) assuming w is positive.\nAnswer: w**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -6\/7, 11, -1\/3, -0.05?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103201 (base 7) to base 3.\nAnswer: 110212101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 103. Is k + (-3)\/(-6)*-2 + 340 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(((g*g**(1\/32))\/g)\/g)\/g*g*g**(-31)*g*g*g*g*g*g assuming g is positive.\nAnswer: g**(-799\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 + 0*g**3 + 5*g**3 + 0 + 1 wrt g?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/115)\/(23\/(-10)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13377*x**2 - 2839*x**2 + 9*x - 9*x.\nAnswer: 10538*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 23*w + 15. Let b = -43 + 33. Let o be b*((2 - -2) + -3). What is the hundreds digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + c + 4 = 2*n, 5*n - 2*c - 20 = 0. Suppose 4*o + n = 20. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from nyneb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(1\/3)*t)))**0*((((t**(-1\/3)\/t*t)\/t)\/t)\/t)**(-4\/7) assuming t is positive.\nAnswer: t**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1375192 and 133\/589368.\nAnswer: 4125576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w**4 - 215804*w**3 + 17926367*w**2 + 22184410*w + 4042248 = 0. Calculate w.\nAnswer: -24061, -1, -2\/9, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -52. What is the greatest common factor of q and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 1 - 6\/(-1). Suppose -f + 2*g = 2, -2*f - 3*g + 8*g = w. Suppose -6 = -f*p - 2*p. Solve 0 = -2*r + p - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 4 - 4 + u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {t: 2, p: 4, s: 1, f: 1, a: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Suppose 0*f + f = -d. Let n = 7 + f. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 - 30*i**2 + 15*i - 76. Determine r(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1054 + -579. What are the prime factors of l?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a - 0*a. Suppose 0 = -b + 5*v + 260, 3*v + 840 = 3*b - a*v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032013 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 2*t. What is d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from see. What is prob of sequence see?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348829 is divided by 38664.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 2)*(-7)\/21. Solve 2*k = -4*f - r - 0, 2*k + 14 = 2*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3594687?\nAnswer: 3, 1198229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 17}. Give prob of picking 1 v and 2 s.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100\/1962349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6 + 5.3. What is the closest to -1 in -0.4, 2, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*m - 12, 267*c + 12 = 264*c - 4*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 33 - 29. Let w(f) = f + 5. What is w(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 5*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30 - ((-8)\/(-12) + (-22)\/6). Let n = -118 + 145. Suppose 3*c - s + n = 0. Solve 3 = c*r - p, -3*p + 8 + 3 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -37.13. Let k = o + -0.18. Let q = 2 - 1. Which is the second biggest value? (a) q (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1\/6 (c) 3\/764 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 59*z**2 - z + 2. Let m be r(1). Let i be 13 - (3 + -2*1). What is the greatest common divisor of m and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378406199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is caa + -34c?\nAnswer: 95c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**3 + 5*k**3 + 7*k**3 + 8*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1626390964 rounded to five decimal places?\nAnswer: 0.16264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1\/(17\/(-119)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 2*l + 60 = 0, 5*l = -3*n + 47 - 71 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-36))\/((-1)\/8)*12672\/(-2816). Solve q*k + 23 - 45 = 5*i, -k = 2*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3\/3 + 1928*x**2 + 293172*x - 1782200\/3 = 0.\nAnswer: -1273, -175, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 60168.44mg?\nAnswer: 60168440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + 3. Let x(y) = -2*y. Give i(x(b)).\nAnswer: 16*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -291, -287, -283?\n\"Answer: 4*b - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2676.521 to the nearest 10.\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1491896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1546.\nAnswer: 463.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 6*v + 2. Let h be n(-6). Suppose -z + h = 5. Let k = 291 + -294. Are k and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2641056 is divided by 146725.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*p - 75*p - 3*p**3 + 76*p + p**3.\nAnswer: -2*p**3 + 184*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*s - 34 - 41 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38233 and 7925476.\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1*4 - 1. Let p(o) be the first derivative of -o + 1\/2*o**2 + 2 - 1\/3*o**3 - 2*o**4. Determine p(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 - (-30 - -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 take away -0.8?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viao when four letters picked without replacement from {d: 1, v: 1, i: 4, a: 3, u: 6, o: 1}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 0*l - 36*l**2 + 32*l**2 + l - 65626*l**3 + 4. Suppose 4*b = 6 - 22. Let z be x(b). What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60175\/(-8700) + (3*(-6)\/36)\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-300)\/25*(1 + (-3)\/(-6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1313*a + 3568*a + 328*a + 2530*a.\nAnswer: 5113*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**6\/360 + i**5\/60 + i**4\/12 + 2*i. Let f(z) be the third derivative of l(z). Let v = 3 + -7. Calculate f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -1 - 7. Let s be 4 + -4 + w - 2. Solve -8 + s = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5.5562 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c - 187*c - 2369 + 479 = -735 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217 or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7657 by 247.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481780176?\nAnswer: 2, 3, 31, 41, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24258962*o**5 - 2*o**4*u + 2*o**2*u + 210*o**2 - 2*o*u - 2*o - 5035*u - 4 wrt o.\nAnswer: 1455537720*o**2 - 48*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n**3 + 0*n**3 + n**3)*(-3*n + 21*n + 0*n) - n**4 + n**2 - n**2 to the form s + h*n**4 + u*n + y*n**3 + a*n**2 and give h.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 2*u**2 + u**2 - 7*u**2 + 56*u**2 - 2981*u**2 + (2 + 1 - 5)*(3 + 3*u**2 - 3).\nAnswer: -2939*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2 (c) -3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 11*m - 11*m)*(-2*m - 2*m**2 + 2*m) in the form f*m**2 + d + q*m + r*m**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 2, 4 in ascending order.\nAnswer: -1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 27\/2. Let p = 16.8 - -0.2. Let q = -18 + p. What is the biggest value in q, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8159667 seconds?\nAnswer: 815.9667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 9:29 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -3.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, 2, -5 in increasing order.\nAnswer: -5, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18918 divided by -1051.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(0 + sqrt(208))**2.\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -32, -27, -20, -11, 0, 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2507\/11160 - 3\/1240. Which is the third biggest value? (a) f (b) -5 (c) -4 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-6 - -3) + 4\/2. Suppose 6 = -g*v + 326. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t - 1. Suppose -6 - 4 = -2*c. Suppose -2*w + 2 = -w + 5*j, w = c*j + 12. Let r be b(w). Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*m - 0 - 12, 4*m + 8 = -2*f. Let t = f + 33. Suppose -5*z + 55 = -t. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 8*j - 5. Let d be l(-6). Let i = -40 + d. List the prime factors of i.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let m = 0 - 0.2. Let k = 0.2159 - -0.0841. What is the nearest to -1\/5 in m, k, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81239 + -80771. Let p = 62 + 42. What is the greatest common divisor of p and f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.999118 to 2 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126920 divided by -152?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92256 and 9300?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20598574*p**6 + 25*p**2 + 20895*p - 3 wrt p?\nAnswer: 2471828880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*f + 3*f. Suppose -k + 4*z = -7, 14 = 2*k - f*z + z. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1092 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2 + 2 + 32. Suppose -1 = w - 44. Suppose 5*b - j = w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*b**2 - 3*b**3 - 32*b**2)*(1 + 2 - 4).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -201696*x**2 + 217292?\nAnswer: -403392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 725 + -675. Solve t = -3*c + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535618327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -4 (c) 0.2 (d) -5 (e) 2\/39 (f) -26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-15))\/(((-37)\/(-1665))\/(168\/(-72)))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0536 + -122.648076354.\nAnswer: -122.701676354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (1 - (-4 + -4 + -12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4721 = 81*c - 4027. What is the highest common divisor of c and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 10771 - 10410 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 76 = -25. Let t = s - -111. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.92 - -35. Let t = -0.88 + p. Suppose l = -4*k + 5 - 2, -2*k + 12 = 4*l. What is the biggest value in l, 0.3, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4*(sqrt(539) + -1) + (sqrt(539) + 0)*-5)*-3 + -3 + 5)**2.\nAnswer: 588*sqrt(11) + 5047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3394*r**2 - 15*r. Let k(h) = -1695*h**2 - 8*h. Determine 9*k(p) - 5*m(p).\nAnswer: 1715*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 93, 3, -24.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxah when four letters picked without replacement from {k: 1, h: 1, x: 3, a: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59208?\nAnswer: 2, 3, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 + -3 + 0 + -2 + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120593 is divided by 988.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.08 + 68. Let t = 0.08 + x. Let l = -2.5 - t. What is the smallest value in 2\/5, l, 4\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 50 = -3*b - 7*j, -2*j = 4*b - 62. Solve h = 4*n - b, -4*h - h + 4*n = 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70, -84, -98, -106, -102, -80, -34, 42?\n\"Answer: t**3 - 6*t**2 - 3*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17272 and 1746123?\nAnswer: 237472728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 11*o**2 - 21*o + 123. What is s(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16*3\/(-6) + 3. Suppose a - 2*a = r. Let g = -11 - a. Solve 10 = -g*v - 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 0.4 (c) -196.1 (d) 2\/17 (e) -1\/1392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**4\/8 + 5*b**3\/12 - b**2\/8 - b\/2 - 32. Factor p(q).\nAnswer: -(q - 2)*(q - 1)*(2*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3*q + 36*p**3 + 454*p**2*q + 68*p*q - 186*p wrt p.\nAnswer: 12*p*q + 216*p + 908*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-28) - 2380\/(-1666). Factor -u - 3\/4*z - 1\/4*z**2.\nAnswer: -(z + 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 6*n - 6. Let g(h) = -13*h**2 + 4*h + 4. Let j(p) = 3*p**2 - p - 1. Let v(q) = -2*g(q) - 9*j(q). Give o(r) + 6*v(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 495015?\nAnswer: -495015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2 - 96*d + 646. Let i be q(10). What is the highest common factor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.142 times -199\nAnswer: 2217.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39969.858 and 1.\nAnswer: -39969.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*y + 2*y. Let q be y*3\/3*-2. What is the third derivative of -5*v**2 - 2*v**3 + v**2 + 5*v**q wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2702 - 2697. Solve h*p + 4 = -a, 0*a + 2*a = -4*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144 + 1 - (21 - 9 - 19 - -20) - -16?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*h + 17 = 0, 7*h - 2*h = -2*u + 18. Let w = 6 + -4. Let v(b) = -4*b**2 + w*b + b - 4*b. Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -636203.8?\nAnswer: -636203.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23386242 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/10*(-5)\/(-30)*15. Suppose -o + 2*y - 7*y = c, 5*y + 40 = 5*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -247703673 + 4?\nAnswer: -247703667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 6220?\nAnswer: 87080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42333 (base 10) to base 4.\nAnswer: -22111131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 8 + 14*h**4 - 36*h**2 + 38*h**2 - h**3 + 2*h**4 + 7*h**4 - h**4 + (3*h + 0*h - 5*h)*(0*h**3 + 3*h**3 - 4*h**3).\nAnswer: 24*h**4 - h**3 + 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 141\/7, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238 - 126. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32444 rounded to the nearest 100?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183.408 nanograms in kilograms?\nAnswer: 0.000000007183408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 1\/20*d**5 - 3\/16*d**4 - 1\/8*d**2 + 21 + 1\/4*d**3 + 0*d. Factor s(k).\nAnswer: k*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -2\/3 (b) -10 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-8))\/(-3)*(-6 + 2). Suppose 5*j = y*j - 6. List the prime factors of j + 195\/3 - 4.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*w = -3*o + 135, 4*o - 125 = 3*w. Calculate the remainder when 8291 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 13063699 + 14666510. Suppose 4*l = i - 6493093. What is l rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7423 from 10.62.\nAnswer: -7412.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 - -417. Suppose a - 64 = 7*c. What is the greatest common divisor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*k + 22*k + 47 + 11*k)*(4 - 1 + 8).\nAnswer: -11*k + 517","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -f, -4*f + 12 = -j - 33. Is (1 - 73\/(-5))\/(f\/25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14501645 is divided by 653?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in -0.07, -0.4, -578, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205633 - 205631. What is m in 792\/19*m - 36\/19*m**3 - 74\/19*m**l - 968\/19 - 2\/19*m**4 = 0?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 63 + 37)*(-2*n - 10*n + 24*n).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(4617) - sqrt(4617) - sqrt(4617)) - sqrt(4617))*2)\/(sqrt(15)\/sqrt(245) - (sqrt(189)\/sqrt(7))\/sqrt(9)).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let r(t) = -15*t**2. Let n(a) = 23*a**2. Let v(h) = 5*n(h) + 8*r(h). Give v(j(g)).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 f, and 1 p when four letters picked without replacement from {w: 1, b: 1, a: 1, f: 1, r: 2, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/7 + (2 - -3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*t + 6 - 0, -10 = -4*c + t. Let g be ((-2)\/(-3))\/((-6)\/(-45)). Solve -g = 5*d, -2*d - c = 3*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17477237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/4)\/((-4)\/(-16)). Which is greater: 2\/13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -0.04. Let i = v - 0.04. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eybeyyynnneenyynyn. Give prob of sequence enen.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42166 + -42167. Is s at most 9607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 2\/3, -3 in descending order.\nAnswer: 3, 2\/3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-1 - -4) + -1). Is 1 + (o - -1) + 147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -19)\/(-5) - (-328)\/104?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869351.9039 rounded to the nearest one hundred?\nAnswer: 869400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/24 + 25*s**3\/6 + 11*s**2 - 2. What are the prime factors of g(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584.443 centuries in years?\nAnswer: 458444.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20*(14\/(-2) - -201) and -61\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 13*l**2 + 45*l + 52. Calculate z(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 4, u: 4}. Give prob of picking 1 b and 1 u.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.3, 0.06, -15057 in decreasing order.\nAnswer: 10, 0.3, 0.06, -15057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*c - 63, -7*c + 4*c - 216 = 3*k. Let d = 7 + -2. Is 1173\/d + (-5)\/k*6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 7 = w - 3*u, -4*u = 20. Suppose w*s = 4*p - 132 - 164, -2*p - s = -154. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 6*i**2 + 0*i**2 + (-1 - 2 + 5)*(5*i + i + 4*i)*(10 - 2*i + 1 + 4) to the form x + m*i + v*i**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 6, x: 2, i: 3, l: 1}. What is prob of sequence ee?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -21*c**2 - 3*c + 25. Let d(i) = 10*i**2 + i - 12. Let z(k) = 13*d(k) + 6*l(k). Let t be z(-4). Suppose -5*w = -t - 347. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5406.22 nanograms to milligrams.\nAnswer: 0.00540622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**33)**26*(l**(1\/16)*l*l\/(l\/(l**(2\/7)\/l)))**(12\/7) assuming l is positive.\nAnswer: l**(-336219\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.096 - 3.904. What is the closest to -1 in 3\/2, q, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 11 + 49. Suppose -3*o - 11 + q = 0. Suppose m = -3 - 1, -3 = v + o*m. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9062 = 1464*m - 24610 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 136. Let o = -904 - -1006. Calculate the greatest common divisor of r and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541 less than 3482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/40*(-3375)\/162*(-144)\/(-810).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {o: 3, h: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028706496 rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -60*b + 55*b + 12*v, 0 = 5*b - 5*v - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.2 (c) -2886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 50*y**2 - 4. Let b(g) = -23*g + 3. Let v(p) = 38*p - 5. Let f(i) = 5*b(i) + 3*v(i). Calculate f(o(t)).\nAnswer: -100*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y**2 + 20*y**2 - 8*y**2 to the form c*y + u*y**2 + s and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 4. Let s be l(-9). Let k(j) = 9*j + 16. Let p be k(s). Suppose 4*f - 14 = 5*m - p, 6 = -2*f. Calculate the remainder when 62 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -198 - -40 - (-237 + 46).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 14*n + 123. Let x be v(-7). Calculate the highest common divisor of 841 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2767871223 to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 + 20*o**3\/7 + 8*o**2 + 48*o\/7.\nAnswer: 2*o*(o + 2)**2*(o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 1)*(2*w + 4*w - 2*w)*(4*w - 3*w + 0*w) in the form x*w**2 + c + f*w and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, z: 6, x: 4, v: 1}. What is prob of picking 1 z and 1 y?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p + 1\/3*p**6 - 4\/3*p**4 - 1\/6*p**5 + 0 - 1\/42*p**8 + 4\/3*p**3 + 54*p**2 + 1\/105*p**7. Determine z, given that u(z) = 0.\nAnswer: -2, -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -125, 2\/7, 44 in ascending order.\nAnswer: -125, 2\/7, 2\/3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*l = -27087, 3*i - l = 8*i + 45151. What is i rounded to the nearest 100?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.9 + -91. Let m = -3.2 - p. Are m and 22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2942459 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6905*i**2 + 5950*i + 6. Let s(m) = 6900*m**2 - 5952*m - 7. Let w(f) = -7*g(f) - 6*s(f). Find the second derivative of w(r) wrt r.\nAnswer: 13870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15194 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 5 + 238. What is the second derivative of l*q + 29*q**4 - 10*q - 94*q**4 - 27*q + 2 wrt q?\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-16)*2*-10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3918816)\/21 - 2\/(-7). Suppose 4*c + 677088 - 210648 = 0. Let y = q - c. What is y rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*d - 14. Suppose 30 = 4*g - d*g. What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**15\/(d**(-1)\/(d**(-2\/9)*d)) assuming d is positive.\nAnswer: d**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*g**2 + 198*g + 184*g + 4 - 382*g in the form p*g + j + b*g**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 16\/(-12))\/((-6)\/(-360)). Suppose a - g = 2*k, -4*k + 181 + 49 = 3*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101001000101 (base 2) to base 6\nAnswer: 153021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14425615*u**2 - 14425615*u**2 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -505, -1042, -1601, -2194, -2833, -3530?\n\"Answer: -2*a**3 + a**2 - 526*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-25 + 9)\/16 + 84\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011957 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, x: 4}. Give prob of sequence oxxo.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6 - 2\/(-2))*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 7, 4, -3, -281 in descending order.\nAnswer: 31, 7, 4, -3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 228677 <= -1939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.5293067 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9909 = -3081. Does 58 divide (-24)\/(-6)*5\/(80\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a8a (base 11) in base 10?\nAnswer: -9294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**3 - 6*o**2 - 7*o + 26. Does 36 divide c(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1424053479 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -20*u**3\/3 + 31*u + 3. Differentiate m(q) with respect to q.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 - 9*m - 11. Let n(j) = 2*j**2 + 3*j + 4. Give 4*a(r) + 11*n(r).\nAnswer: -2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2564 divide 790376076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-44 - 47) + 186?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1734 and -53\/5780?\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 x when three letters picked without replacement from jjzjffpfxz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 23 = -3*c - c, -3*i + 7 = -c. Suppose c*k + 456 = 8*k. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 690445*k**5 + 409077*k wrt k?\nAnswer: 13808900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-900)\/(-4200))\/(-1*6\/2)*6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -846 and -6377.\nAnswer: -7223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44477348171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*k**6 - 1006*c*k**2 + 3*c + 5*k**5 - 11056*k**3 - 113*k**2 wrt k?\nAnswer: -240*c*k**3 + 300*k**2 - 66336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 10*x + 25. Let j be g(-8). Calculate the greatest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*h**2*x + 2*h*x**3 - 5*x**3 + 13*x**2 wrt h.\nAnswer: -164*h*x + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26267230 by 5.\nAnswer: -5253446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347*(-8 - -5)*-2.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/2 + 334938*g**3 - 7368345*g**2\/2 + 8038062*g + 12057174 = 0.\nAnswer: -1, 6, 223281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 43*m + 48. What is f(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.216 and -52?\nAnswer: 52.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 + 7*y**4\/12 + y**3 + 2*y. Let t = 99 + -95. Suppose 17 = 4*z + 3*l, -t*l + 23 - 83 = -5*z. Calculate r(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fcbbd (base 16) to base 8.\nAnswer: 7745675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2955, 5857, 8737, 11589, 14407, 17185, 19917, 22597?\n\"Answer: -p**3 - 5*p**2 + 2924*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555424 divided by -851808?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i - 5*i - 3*i + 11*i. Let h(k) be the third derivative of k**7\/2520 - k**5\/60 + k**2. Let t(u) be the third derivative of h(u). Give t(g(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21728 + 21440 = 24*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 254, 373, 496?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9)*o)\/o*o**(3\/10))\/(o\/(o*(o**(1\/4)\/o)\/o))**0 assuming o is positive.\nAnswer: o**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 320 + 308 - 3*x - 683. Determine z(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342466 is divided by 5687?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12 - (-3270)\/36. Suppose -5*t = -b - 224. What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v + 592 - 592 + 6*v + 2*v - 2*v + (1 + 1 - 4)*(-2 + 2 - 2*v).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, 3, -62, -0.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 38 = 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 628941?\nAnswer: 628941.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 + 12 + 0 - 16 + 7 in the form c*g**2 + r + i*g and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 36 = -6*o - 50, -15*w + 150 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 5 - 4)*(i**5 - 3*i**5 + 3*i**5) + i**4 + 23*i**5 - 2*i**4 + 2*i**4.\nAnswer: 10*i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - (-6 - 192\/(-30)). Suppose 7 = 5*v - d, -3*v - d - 1 + 2 = h. Is (v - -37)*(25\/2 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -2)*((-2)\/1 + 1). Suppose 2\/5 - 4\/5*o + 2\/5*o**l = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 + u**3 - u**2\/2 - u - 10. Let t be m(3). Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 8 + 20 = 0. Suppose -3*l = -v*o + 2*l + 306, -146 = -2*o - l. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 27617920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 6*f + 7. Let p be s(-7). Suppose -5*a + p = u, -3*u + u = -8. Suppose 0 = 175*n + 362 - 2987. Calculate the remainder when n is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from yyyvyyyyyyyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2571 or -2576?\nAnswer: -2576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by -2157.\nAnswer: -109\/2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Suppose 0 = 3*q - 8*q + 15. Suppose -9 = -q*v - 3. Solve z = -x*o - 4, 4*o + 3 = 3*o + v*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220941 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114974453 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*w + 0 + 5*w + 0 as v + o*w and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/9 + (-6)\/(-30)*5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 6. Let k(g) = g**3 - g + 1. Let q be k(1). Let y(j) = 2*j. Let r be y(q). Let o be m(r). What is the highest common factor of o and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 254. Let l = q + 68. List the prime factors of l.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = j - 78, -111 = -2*j + 4*p - p. Solve -33*o + j = -3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -4\/1605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6514.3616 rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from {t: 7, m: 2, p: 3, c: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 3. Let n be y(-4). Suppose -n = p + 3. Let g(s) be the first derivative of 2*s**3\/3 + 5*s**2\/2 - s + 15. Calculate g(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjn when three letters picked without replacement from {o: 1, h: 1, n: 2, p: 1, j: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 629 and 952?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:02 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 38. Let o = 42 + u. Let q = 2.1 - 2. Which is the second biggest value? (a) o (b) q (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -13. Suppose -b*x + 390 + 470 = 0. Find the second derivative of 5*h**5 - x + 215 + 4*h + 2*h**5 wrt h.\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4 + 149104*v**3 - 447326*v**2 + 298220*v = 0.\nAnswer: -74555, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/90 and -61\/105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - -2 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 16, r: 4}. Give prob of picking 2 w.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from {l: 3, n: 2, r: 6, w: 1, c: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(10\/3)*b)\/b**(2\/5))\/(b\/(b*b**(-2))*b**(-1\/3)*b) assuming b is positive.\nAnswer: b**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2628073026 to the nearest integer?\nAnswer: 51265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 2. Let c = -160.9 - -161. What is the nearest to -0.1 in 1\/3, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*t = -58 + 68, -4*j + 5*t + 25 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 18*z + 2*z**2 + 1\/20*z**5 + 2\/3*z**3 + 5\/12*z**4 + 3. What is q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**0\/h*h))**(-5)*(h*h**(2\/11))\/h**6 assuming h is positive.\nAnswer: h**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4565596 divided by 2.\nAnswer: 2282798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013 - -2?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 13 (b) 4 (c) 6.8 (d) -3 (e) -1\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - -3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (23 + -25)\/((-8)\/76). Let h(d) = 38*d**2 + d + 1. Let n be h(-1). Calculate the greatest common factor of r and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/6*(-4)\/(-5). Is 223\/(-1 - j) + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g - 2 + g**2 - 2 - 3. Let r(b) = 2*b - 4. Let l be r(-9). Let x = l - -28. Give o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -8) + 1 - 0 - (13881 + -13872)) + 41.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201616 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1266619g in micrograms?\nAnswer: 126661.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2284 = 15*o - 18761. Suppose -3*d + o + 940 = 0. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ba8 - 3?\nAnswer: 3ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 208 - 392 = 0. Suppose -13*k = -2558 - 185. Let h = k + u. What are the prime factors of h?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3 - 3 + 33*y - 152*y + 73*y. Let h be d(-3). Suppose -q + 169 = 5*u, -u + 0*u - 3*q = -45. What is the highest common divisor of h and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -564 - -249. What are the prime factors of ((-2)\/(-6))\/((-5)\/n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21816.470323 to the nearest integer.\nAnswer: -21816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200837010242 minus 23.2?\nAnswer: 200837010218.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 704281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 71*f**2 + 630*f + 11. Let t be u(8). Let w(a) = 7*a**2 + 37*a + 5. Give w(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 1, h: 3, p: 4, w: 1, s: 7}. What is prob of sequence whp?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1595*n + 1. Let t be s(-3). Let x be t\/42 + 4\/(-6). Let v = x + -113. Sort v, -1, 2.\nAnswer: -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:26 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 (base 8) in base 5?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3 + 31082*z**2 - 124316*z + 124312 = 0.\nAnswer: 2, 31078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1818884 != -1818826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25235 times -4\nAnswer: -100940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 26. Determine a(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -1. Let r = 42.06 + -0.06. Let p = -41.3 + r. Which is the third smallest value? (a) 4 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12))\/n*(n*n\/n**(-6))\/n*(n**(-2))**(-35) assuming n is positive.\nAnswer: n**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9))\/((2\/(-7))\/(192\/(-28)))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose 0 = 3*v - 15, v = 4*u - p*v + 24. Does -3\/4 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2795614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/6 + 5983*k\/3 - 35796289\/6 = 0. What is k?\nAnswer: 5983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -7*b**4\/12 - 9*b**3\/2 - 13*b**2. Let s be q(-4). Suppose 4*o - 2*i - 69 = s, -i = -4*o + 97. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4345 - 10335 = -40*b. List the prime factors of b.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -3*s. Calculate the smallest common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(180) + sqrt(20)) - (-1*sqrt(160))\/sqrt(8)).\nAnswer: 2 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76365 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1049\/6777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**6\/24 + 11*f**5\/20 - 3*f**4\/16 - 287*f**3\/12 - 245*f**2\/4 - 5852. Find v, given that s(v) = 0.\nAnswer: -7, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -17. Which is the second biggest value? (a) j (b) 0.5 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246057971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. What is the closest to -1 in d, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**3 + 9*g**2 + 17*g - 11. Let w(t) = 4*t**3 + 4*t**2 + 9*t - 6. Let r(m) = -3*q(m) + 5*w(m). Give r(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1399283448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 294*p = 291*p - 18, 0 = -0*z - 5*z + z - 3*p - 48 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2 - 7 + 3)*(3*c**2 - 3*c**2 - 2*c**2).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4498\/5 - -39767\/45. Let b = s - -4568\/279. Let j = -1137\/341 - b. Find the common denominator of j and 61\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 2*y. Let c be q(0). Solve 5*o - 5*l + 30 = c, 0 = 5*o - l + 4*l - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57139961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -9*v + 4*v, 3*v - 39 = -3*r. Calculate the greatest common divisor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/4 + (-52)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7158104, -14316213, -21474322?\n\"Answer: -7158109*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/8)\/(870\/(-8)). Let y = 599\/5510 - t. Which is the third biggest value? (a) -5 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444642*y - 434858*y + 879501*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16168569 is divided by 5389520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212 (base 5) to base 9.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*7\/21)\/(2\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -28. What is the remainder when 43 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 12*w = -188, -3*b + 4*w + 45 = -23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 9*b - 1. Let u(n) = -19*n**2 - 28*n - 6. Let c(g) = -3*d(g) + u(g). Determine c(3).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*h**2*i**2 - 4*h**2*i + 18*h**2 + 919*h*i**3 + h*i - 12*i wrt i?\nAnswer: -194*h**2 + 5514*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + -35 - -173) + -70?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(20\/9)\/m*m*m**22\/m*m**5*m*m**(-20) assuming m is positive.\nAnswer: m**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373064306 to the nearest integer?\nAnswer: 19315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 11*r**2 - 11*r**2 + 3*r**2. Let s(l) = 40*l**2 + 7. Calculate s(h(i)).\nAnswer: 40*i**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 6321*l**2\/2 + 233388*l - 4235976.\nAnswer: -3*(l - 36)**2*(l + 2179)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t**2 + 43*t + 44. Let s be c(-1). Solve -15*o - 1 = -s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1173, 28, 1, -5, -114 in ascending order.\nAnswer: -1173, -114, -5, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {l: 8, k: 3, x: 1, g: 3, d: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - v + 26 - 1, 3*v - 6 = 0. Let a = -8 - b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:16 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 1, h: 1}. What is prob of sequence shw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-213908)\/23728 + 5 + 4 and 123\/20.\nAnswer: 29660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78.16 + -76. Let r = q + 0.04. Let p = -2.2 + r. Which is smaller: -15 or p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 3 - (4 + (-7 - 0)). Sort 5, -7, 3, g in ascending order.\nAnswer: -7, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1. Let z(p) be the third derivative of -5*p**4\/24 - 67*p**2. Calculate -2*h(y) + z(y).\nAnswer: -5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2589 - 2579. Solve 2*y + 4*w = 12, -3*y - w + o = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 2. Let y(p) = 1. Let u(d) = c(d) - 4*y(d). Let q be u(6). Factor -19*z - z**2 - q*z**3 + z**2 + 21*z - 4*z**4.\nAnswer: -2*z*(z + 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r + 180. Calculate i(24).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -2013992?\nAnswer: -8055968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*x + 17*x - 4*p - 798, -3*x - p - 1192 = 0. Let c = x - -674. What is the remainder when c is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 144. Let c = l - -28. Let n = c - 84. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158336773 is divided by 332.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101723*q - 168474*q - 56431*q.\nAnswer: -123182*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 399*y + 12. Let z(g) = -201*g - 7. What is -4*m(r) - 7*z(r)?\nAnswer: -189*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10864?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + 2*h**2 + (12*h + 15 - 15)*(4*h - 3*h - 3*h) + 10 - 10 + h**2 + 1 - 9*h + 2*h**2 + 2*h**2 + 2*h - 3*h**2.\nAnswer: -20*h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d + 48 = 70*d. Suppose 3*n - 5 = -r - 13, -3*r = 3*n + 12. Let v be -1*(n - (2 - 1)). Solve 3*h - v = -d*t, t + 11 = -3*h + 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 7*y - 15. Let l be s(7). Let n = 28 + l. What is the highest common factor of n and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4953, -4961, -4981, -5019, -5081?\nAnswer: -5173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 0, -68*q - 4*y + 23 = -63*q. Solve -f - u - 11 = -3*u, 0 = -q*f - 5*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347267527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654*i - 9693 = -25*i - 2552*i. Suppose 2\/7*a**i + 0 + 20\/7*a**2 + 18\/7*a = 0. Calculate a.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 143?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*c**(2\/11)*(c\/c**(2\/7))**(36\/5))\/((c\/(c*c**(-2\/3)))**(2\/15))**(-23\/3) assuming c is positive.\nAnswer: c**(135263\/20790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 121372.924 to the nearest 100.\nAnswer: 121400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 985 - 306. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6*j**4 - 22*j - 69*j**3 - 18*j + 23*j**3 - 6 - 136*j**2 = 0. What is j?\nAnswer: -2, -1\/3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157.8483 + 300291\nAnswer: 300448.8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1440\/27)\/10)\/((-8)\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 1852853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 - 216. Let f(m) = 2*m**2 - 48*m - 105. Give f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x**2 - 4*x**2 - 8*x**2. Let u = 176 + -173. Let g(t) = 17*t - 53*t + u*t. What is k(g(b))?\nAnswer: -1089*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111518808?\nAnswer: 2, 3, 4646617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 57. Let v(t) = 5*t - 29. What is -11*v(w) + 6*y(w)?\nAnswer: -w - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*t + 28. Let x be ((-3)\/(-2) + t)\/(35\/(-70)). Let l be ((x\/2)\/(-5))\/((-19)\/(-38)). Solve -4*n + 7 + l = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32*(-3 + 11\/2). Suppose -7*y = -3*x - 3*y + 244, -x + y + u = 0. Suppose -5*c + 64 = -x. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 + 301.2?\nAnswer: 302.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*d, 2*n - 1 = -d. Suppose n = 9*j - 133 + 43. Solve -j = -3*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -4 (b) 8 (c) 2\/7 (d) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d - 158*d**4 - d - 24243 + 19591 wrt d.\nAnswer: -632*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t - 2*t + 3*t)*(0 + 1 - 3) + 2*t + t - t)*(458*t - 36*t**3 + 469*t - 922*t).\nAnswer: -216*t**4 + 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let a(x) = x + 1. Let h(r) = -6*r - 6. Suppose y = -4*y + 5. Let q = 1622 + -1617. Let k(o) = q*a(o) + y*h(o). What is -k(z) + 2*w(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 30*n + 80. Suppose -727*w + 5*b + 25 = -722*w, 5*w + 3*b = -39. Give v(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2*r - 5. Let x(t) = t - 1. Let g(d) = 2*j(d) - 10*x(d). Suppose g(q) = 0. What is q?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**5 + 448*p**4 - 8022*p**3 + 5004*p**2 + 2576*p = 0. What is p?\nAnswer: -1\/3, 0, 1, 28, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, y: 9, k: 4}. What is prob of sequence ny?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53.6 + 53.600259. Round c to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/24 + j**3\/6 + j**2. Let k be p(-5). Let m be 10\/(-8) - (3 + k). Put m, -0.5, 3 in descending order.\nAnswer: 3, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243006237 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 92471.684830443?\nAnswer: -92471.184830443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3 = -u, -x + 2 = -4*u - 4. Solve 4*p - 8*p = 2*h - 4, x*h + 3 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7 = -3*y, -5*y + 0 - 7 = -o. Which is the closest to 1? (a) -4 (b) -1 (c) o (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*o*t**2*w - 2*l*o*t*w + 15*l*o*w**2 + 4*l*t**2*w**2 + 3*l*t*w**2 + 5*o*t**2*w**2 wrt t.\nAnswer: 2*l*o*w + 8*l*w**2 + 10*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3428962140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 108 = -24. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-1) - (-7)\/(84\/252780) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 69 = -11. Suppose -3*p = -x - 110. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-5))\/(693\/(-110)). Sort 2\/5, 0.5, z in ascending order.\nAnswer: z, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 7 + 34 = -2*t, -6 = -2*u - 4*t. Suppose 5*c - u*o = 100, c + 2*o - 13 = 7. Solve 3*m - c = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*(4 + -1). Let g = -2 + 7. Suppose g*i - 100 = -15. Solve 7 = -w*q + 3*o, -q - 5*o + i = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.527182 rounded to 2 dps?\nAnswer: 892.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 10. Let x(y) be the third derivative of y**6\/120 + y**5\/10 + 5*y**4\/24 - y**3\/2 - 10*y**2. Determine x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:24 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - (-4 - -16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-2)\/6). Suppose y + 6*y + 7 = 0. Which is the closest to y? (a) -1\/9 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4659239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 121288, 485114, 1091498, 1940446, 3031964, 4366058, 5942734, 7761998?\n\"Answer: x**3 + 121273*x**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30261 + -12253. List the prime factors of i.\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282206095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:46 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/((-45)\/50 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (424\/(-10))\/(12\/(-30)). Let l be ((-4)\/2)\/(-6*(-5)\/(-825)). Let r = y - l. Is 51 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/22*14\/3. Suppose 0*v + 12 = 2*v - y, -v + l = -y. Solve 5*a - 18 = -2*m + 2*a, -v = -3*m + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4)*12\/(-8). Let t(y) = -6 + 4 + 12619*y**2 - y**l - 12614*y**2 + 5*y. Give t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**3*p - 5*c**3 - 2*c**2*p - 2*c*p - 91 wrt p?\nAnswer: -3*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 4. Give j(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -176648.68958554 less than 0.041?\nAnswer: 176648.73058554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a - a + 0*a)*(0 - 3 + 4) - 1 + 3*a + 1)*(5*a**2 + 16*a**2 + 2*a**2) + 4*a**3 + 2*a**3 - 5*a**3.\nAnswer: 93*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*u = 23, -8*z + 4*u = 6 + 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60711855803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + (2 + 10 - (46 - 54)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -151520 (base 7) in base 9?\nAnswer: -44312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*v - 5*v**4 + 7 + 84*v + 2*v**2 - 2*v**3 - 49*v to the form c*v**2 + w*v**4 + u*v**3 + i*v + p and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -10*q - 24. Solve -2*m + 5 = -3*i, 4 + 13 = -q*i - 4*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 121. Let p = -8544230896 + 8544230943.99999967. Let q = a - p. What is q rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**2*f**5 - 4*a**2*f**2 - 234*f**6 + 439*f**2 wrt f.\nAnswer: 60*a**2*f**2 - 28080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1210 + -1209. Which is the second biggest value? (a) -299 (b) i (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 46 = 46. Suppose k = 3*y - 405 + 240. What is the remainder when y is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24))\/(sqrt(32) + sqrt(128)\/sqrt(4)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 1716?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 96 = 18*s. What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r = -31*r - 18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q + 8. Let h be p(8). Let g be (-6 + 2)*3\/h. Let x = 1 - 0. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370795, -370821, -370843, -370855, -370851, -370825, -370771?\nAnswer: -370683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*f = 331*f + 3*o + 30, 18 = f - 2*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i - 108 = 0. Let m be 6 - (-9)\/(i\/(-16)). Suppose 125 = b + 4*b - 3*h, -46 = -m*b + 2*h. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9452671 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r + 4 = 0. Let s = -6.3 - -6. Let o = -360 + 361. What is the nearest to r in 3\/5, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and -6.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3233664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 9*y**2 - 9*y - 8. Let p(j) = 3*j**3 + 9*j**2 + 9*j + 7. Let l(u) = 3*u - 17. Let v be l(7). Let k(a) = v*n(a) + 5*p(a). Factor k(t).\nAnswer: 3*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from spkbqbcbbsqkbbb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*-6 - sqrt(170))*4)\/(3*(sqrt(1210) + sqrt(1210)*-2)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 497349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*s + 2*s = 8702 + 3208 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760\/(-52096)*72\/(-45)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -18\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 21. Solve -4 - y = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**2 + 2*v - 1. Let s be i(-1). What is the common denominator of (-2839)\/2040 - (-15)\/(-18) and (-82)\/16 - s\/1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilnlinlllilkninlli. Give prob of picking 3 l.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (14\/798)\/(30\/(-20)*4\/(-18))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2\/2 + 3*z - 11. What is c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 5*t - 4*p = -16, -5*t = 4*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6 + 14*o - 27*o + 12*o. Determine g(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 42921308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5591.93 + -5618. Let d = 26 + g. Let b(j) = -3*j + 22. Let t be b(9). What is the biggest value in -0.5, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 0*o - 3*o, 2*q - 3*o = 26. Is q != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 3)*(-3 + 2*k + 3 + (-4 + 4 - 2*k)*(5 - 1 - 2) - 10 + 10 + 4*k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*i**3 + 630*i**2 - 520*i - 5*i**4 + 25*i**3 - 353935 - 74*i**3 + 353935 = 0. Calculate i.\nAnswer: -26, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:37 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*p + 30041, -4*p = 2*a - 59369 - 705. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 55*w**2 + 6*w - 11. Let l be (7\/(-35))\/(2\/(-30)). Is c(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15033949 to the power of 1\/2, to the nearest integer?\nAnswer: 3877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + -4*((sqrt(117) - (sqrt(117) - (sqrt(117) - -1*sqrt(117))))\/sqrt(9) + ((1*sqrt(143) - sqrt(143)) + sqrt(143))\/sqrt(11)))**2.\nAnswer: 48*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 3*q**2 + 3*q - 4. Let c be t(3). Let z = -57 + c. Suppose i - 267 = -3*b + 281, z*i = 4. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4348897 divided by 409?\nAnswer: -10633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.321978216 to four decimal places.\nAnswer: 0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + q)*(264*q + 757*q + 3259*q).\nAnswer: 4280*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(6\/(-39) + 0). Let c = -2\/91 + d. Factor 2\/7*t**2 + 2\/7*t**5 - 2\/7*t**4 + 0*t - c*t**3 + 0.\nAnswer: 2*t**2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(40)\/sqrt(125) + 5)*-1.\nAnswer: 8*sqrt(2)\/5 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 23645*v + 94592. Determine l(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038 is divided by 1514?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294762 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930099860?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 3, -63, -75?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:30 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2569 = 495*y + 15251 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41067 + 100678. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -27. Suppose f*y + 4 = -46. Let z = y + 37. What is the remainder when 16 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19896*q**2 - 6825*q.\nAnswer: 39792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y + 149. Calculate t(-16).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1636707*0.1.\nAnswer: -163670.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 200022?\nAnswer: -200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 20 = -20. Suppose 5*b - 753 - 437 = 4*w, -w = a. Is b a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 0) + (90 - 85)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -28\/1265073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -804, -1859, -3348?\nAnswer: -5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:34 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 432*f - 11. Let k(o) = 2162*o - 53. Give 11*d(b) - 2*k(b).\nAnswer: 428*b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 5*k + 380. Let x be b(0). What is the greatest common divisor of x and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 0*n**2 + 21*n**2 - 276 - 6*n**2 - 29*n**2 as w + p*n**2 + d*n and give w.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - 4\/3. Let z = 26 - 16. Let r = z + b. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 4\/3*a**2 - 4\/3.\nAnswer: 4*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 22. What is p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1644*x - 21. Let v be n(-10). Suppose -16*g + 3229 = -v. 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 = 1759\/957 + 22\/87. Let m be 18\/(-45) - 68\/5. Find the common denominator of (-395)\/(-140) + 2\/m and a.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((3\/2)\/3). Let r = m - -7. Let h(o) = 3*o - 3. Let f be h(r). Calculate the highest common divisor of 18 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38523, -77111, -115707, -154317, -192947, -231603, -270291, -309017?\nAnswer: -347787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3, -1, 4, 28 in ascending order.\nAnswer: -5, -1, 0, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18101 + 18102. Sort -9\/4, p, -0.8.\nAnswer: -9\/4, -0.8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 3, -15, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, -34 in decreasing order.\nAnswer: 4, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 12*m**2 + 13*m**2 + 5*m**2 + 9*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 0.9. Let k = 1 + -1.5. Let f = -0.6 - -1. Which is the nearest to r? (a) k (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 3*c**2 - 3*c**2 + 1. Let z be (20\/(-25))\/(33\/(-15) + 2). Let t be (-1)\/(z\/(-48)*-6). Give p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 1:10 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345 + -423?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 8*q**3 - 58*q**2 + 58*q**2 + 4*q.\nAnswer: 8*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -22*z**5\/5 - 516*z + 1709. What is the first derivative of k(f) wrt f?\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30879864 to the power of 1\/2, to the nearest integer?\nAnswer: 5557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Suppose o - 6 = -2*o. Let i be (-3)\/((-3)\/(-3) - o). Sort 0, u, i in ascending order.\nAnswer: 0, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*x = 188*x - 16. Suppose -y - 4*r = -4*y + 312, -4*y - x*r = -416. Calculate the lowest common multiple of 39 and y.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o. Let b(j) = -20*j**2 - 17*j. Let a(s) = 7*s**2 + 6*s. Let q(n) = -17*a(n) - 6*b(n). Determine p(q(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = -5. Let p be 16\/3 + 1\/(-3). Suppose t*u - s = 13, -p*s + 10 = u + 4*u. Solve 3*a - 4*w = -26, u*w - 36 = 5*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 8. Suppose -468*v + 1027 + 4782 = 1129. Which is the second smallest value? (a) -0.2 (b) t (c) v (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) 3\/4 (c) 3\/2 (d) -4\/9 (e) 0.41 (f) -272\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 386789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaajajaj. Give prob of picking 4 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, 0, 6\/13, -1\/2?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (139\/(-143) - 17\/(1309\/14)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 13, -1, -33, -89?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/15 - (-5 - -2) - -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 0 - (-830 - -874)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 9*n - 2*n - 125*n)*(0 - 1 + 2) to p + d*n and give d.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:00 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*2 - (sqrt(11) + -1)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -21158 greater than -21157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 692, 1296, 1900, 2504, 3108?\n\"Answer: 604*d + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -584 - -8?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:03 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 40, 0.5, -70\/9, 1\/5, 7.6?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((-252)\/30) + (-2)\/(-7). Let y be (2 - j)\/(1\/32). What is the highest common factor of 320 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111111110110 (base 2) in base 15?\nAnswer: -d531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - -43. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16705021096 - -200877878829476\/12025. Let k = f + -462\/37. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42551 = 5*g - 3*s + 42537, -g - 2*s = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 29816*w**2 + 12*w + 48. Let u be a(-4). Suppose -10*y = -1937056 + u. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 908 = -11176. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 45 = -432. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -719.9 * -15.5.\nAnswer: 11158.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:31 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from {y: 1, v: 1, n: 2, p: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. What is the second derivative of 8*w + 2*w**a + 870 - 870 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.0742, -0.2?\nAnswer: -0.0742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -19*x**2 + 41*x + 4. Let p(w) = 9*w**2 - 21*w - 2. Let s(o) = 13*p(o) + 6*t(o). What are the prime factors of s(12)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -19.42271\nAnswer: -58.26813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*q + 8. Let d(v) = 31*v**2 + 3*v + 4. What is the remainder when d(-1) is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 10, -0.2, 0.4, 0.12 in descending order.\nAnswer: 10, 3\/4, 0.4, 0.12, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20 - 1\/((-2)\/(-4)). Let f = 2115328\/189 - 78346\/7. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 3, a: 1, u: 5, h: 3, y: 2}. Give prob of picking 2 s, 1 h, and 1 a.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20\/1049, -1\/13, -0.2 in decreasing order.\nAnswer: 4, 20\/1049, -1\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10 + 0 - 11\/(-5). Suppose 3*h + h - 16 = 0, 0 = -2*l + h - 8. Sort w, 0, l in decreasing order.\nAnswer: w, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4651900883.\nAnswer: 7, 664557269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p + 2 + p**4 + 83701*p**2 - 83703*p**2 - 45*p**4 to b*p**4 + t + u*p + o*p**3 + i*p**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -5) + (49 + -31 - 20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 + 0)*(3*k - 2*k - 10*k) - 9*k - 15*k + 7*k)*(-1 + 2 - 2) to l*k + t and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -10. Let q = v - -83. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 10 - (69 - 71)) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Let z = -1.9 + d. Let l = -2\/7 + -1\/21. What is the third biggest value in l, z, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/9)\/(10\/165). Let j(o) = 4*o - 9. Let z(c) = -7*c + 17. Let h(g) = t*j(g) + 6*z(g). Give h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -211*g**2 - g. Let r(t) = -2*t. What is r(p(h))?\nAnswer: 422*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -31532.1217 to the nearest ten.\nAnswer: -31530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26337*z - 26316*z - 245 - 280 = 0 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = 46*u - 43. Let t(b) = 5*b**3 + 6*b. Let c(v) = -14*v**3 - 17*v. What is u*c(l) - 17*t(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334 - 75. Let r = 409.121 + d. Round r to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v = -42*v - 3*q + 5, 5*v + 25 = 3*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(sqrt(243)*5*-3*2 + -4))**2.\nAnswer: 6480*sqrt(3) + 874836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622, -2947, -4246, -5507, -6718, -7867?\nAnswer: -8942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 2. Let r be (12\/(-10))\/(9\/(-120)*-4). Let t(v) = -2*v + 2. Calculate r*f(n) + 3*t(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 7.\nAnswer: -41\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6955*h**2 - 2900*h**2 - 3468*h**2.\nAnswer: 587*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30*d**2 + 10*d - 34. What is the hundreds digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-5)\/(5\/(-12)*37\/370)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4848 - 2?\nAnswer: -484a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 + (-42)\/(-36). Let v = -0.8 - 0.2. What is the third biggest value in f, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004182012 to 5 dps.\nAnswer: -0.00418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*l = 48, w = -2*l - l + 21. Solve -w = 5*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5 = 5*n, 4*a - 17505*n + 16 = -17507*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 15 - 2*y)*(2*y**3 - 3*y**3 + 2*y**3 + (0 + 0 + 3*y)*(0 + 0 - 2*y**2)).\nAnswer: 10*y**4 - 35*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 15*n**3 - 11*n**2 - 26*n - 107. Let a(c) = -3*c**3 + 2*c**2 + 5*c + 21. What is -11*a(y) - 2*p(y)?\nAnswer: 3*y**3 - 3*y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 18. Let n be g(16). Suppose -h + 35 = 5*z, -1 = -z - h + n*h. Is 11 a factor of (-3)\/(24\/(-44))*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/4)*q**(1\/4)*q**(-3\/7)*(q*(q\/q**(-3))\/q)\/q)**(-2) assuming q is positive.\nAnswer: q**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1 + 1 + 2 + k. Let p(c) = c**2 + 5*c. Let a be p(-4). Let f be g(a). Solve 4*l + 0 - 8 = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/7 (b) 113 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 + 10*s - 5. Let g be (-3)\/(-1) + -9*(-5)\/15. Does 19 divide j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let c be (-7 + (5 - 2))\/t. Let y(j) = -167*j + 1. Is y(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217957 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -25 - (-1 + 12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-6*4\/24*((-154)\/1)\/(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38163 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 q when three letters picked without replacement from eqtectstce?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -38 + ((-20)\/15)\/(4\/(-6)). Let a = l + 43. What is the third derivative of -247 + a*o**4 + 247 - 15*o**2 wrt o?\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 42*l**2 + 57*l + 114 + 103 - 219 + 24*l to i*l**2 + j*l + k + u*l**3 and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7\/8 (b) 4\/5 (c) -12.8 (d) 9 (e) 5 (f) 0 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-9)\/(-48))\/(30\/32)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - (-8 + (-3940)\/(-925)) and 91\/30.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39501.\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -200*l**6 + 4*l**5 - 5*l**2 + 4*l - 5. Let f(v) = v**6 - v**5 + v**2 - v + 1. Let j(x) = -4*f(x) - z(x). Find the third derivative of j(o) wrt o.\nAnswer: 23520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzzczzzz. What is prob of picking 1 u and 1 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600610 by 1.\nAnswer: -600610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1167, 4899, 11133, 19869, 31107, 44847?\nAnswer: 61089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:24 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477 and 423?\nAnswer: 22419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k**3 + 2*k**2 - 1. Let a be u(1). Suppose 0 = 2*t - 0 - a. Let d be (-21)\/(-45) + (-1)\/3. What is the biggest value in d, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.012 - -4.888. Let k = 0.1 + j. Let o = 0.4 - 1.4. Which is the second biggest value? (a) k (b) -2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 605, 904, 1203, 1502, 1801?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -2\/7, 3, 4.4, -5, 0, 0.2 in descending order.\nAnswer: 4.4, 3, 0.2, 0, -2\/7, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuquqfpxux. Give prob of picking 2 q and 1 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20706802045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**2 - 4*r - 28. Let d(j) = -18*j**2 + 10*j + 56. Let v(l) = -2*d(l) - 5*x(l). What is the derivative of v(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**6\/360 - 17*x**5\/120 + 2*x**4\/3 - 4*x**3\/3 - 6*x - 59. Let d(n) be the third derivative of g(n). Factor d(m).\nAnswer: (m - 16)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*y + 12, -y + 0*y + j - 5 = 0. Is -1 + 4 - y - -207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*r = -60, 4*r - 20 = -5*y + 2*r + 1 + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 11*c + 5. Let y be q(-9). Let b(v) = -y*v + v**2 + 63*v - 2*v**2 + v**3 + 3. Calculate b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*y + 2. Let g(x) = y*x**2 - x**2 - 3*x**2 + 7*x + 4. Let h(k) = k + 20. Let d be h(-24). Determine g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 909 (base 16) to base 11\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -0.5, -0.3, -1, -0.2346 in increasing order.\nAnswer: -2, -1, -0.5, -0.3, -0.2346, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**3\/6 + 2*d**2 - 6*d. Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 - 20*g - 4. Let j be c(10). Let x = j - -1815. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.6 - 44.6. Which is the nearest to f? (a) -3 (b) -95 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agpg when four letters picked without replacement from {h: 4, p: 1, g: 6, a: 5}.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -3\/5 (c) -2 (d) -5 (e) -111 (f) 0.043\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/54406 and -133\/14036748.\nAnswer: 14036748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekbbzwbbbkkb. What is prob of sequence bwzk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-15)\/(-3) + -2. Suppose -31 = -2*n - 4*a + 5*a, 51 = j*n - 3*a. Let l be 112\/24*12\/n. Solve v - 15 = l*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -542 in 4, -2, 0.06, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*v - 43092 = 28*v - 498*v for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-1)\/(-7))\/((-90)\/(-1470)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.018 - -0.268. Let q = c - 0.036. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/31)\/c**43 assuming c is positive.\nAnswer: c**(-1336\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 308*g*m*x + g*m - 6442*g*x - 960*g - 2*m*x + 293*m wrt x?\nAnswer: 308*g*m - 6442*g - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744238 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30183.6*0.02\nAnswer: 603.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 365200351393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9.8, 1\/4, 630, 1\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*q + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 9. Let p be o(-5). Let j be (86000\/p)\/(2\/(-600)). Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 12*g**2 + 6*g. What is the tens digit of j(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160061, -160061, -160063, -160067?\nAnswer: -160073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)\/p*p**(-2\/3)*(p**0\/p*p)**(-23)*p*(p*p**(2\/9))\/p*p**5\/p*p*p**(-1)*p**(-1) assuming p is positive.\nAnswer: p**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-3)*(-60 + 3)*-2. Calculate the highest common factor of u and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + 3*a)*(-3 - 2 + 7)*(-1 - 8 + 5 + (-3 + 3 - 3)*(-4 + 1 + 1)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5 + 2384*n**4 + 293402*n**3 - 1219044*n**2 - 865872*n + 5453568 = 0?\nAnswer: -1052, -144, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8322079 days to minutes.\nAnswer: 1198.379376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/55 + 1 - 1. Let s = -2\/33 + i. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d19b - 400?\nAnswer: -d59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*y**2 - 1008391*g**2 + 20*g*y**2 - y**2 + 69*y wrt g.\nAnswer: -6*y**2 - 2016782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -25*n**5 - 6980*n**4 + 257821*n**3 + 616100*n**2 - 614844*n + 131040 = 0.\nAnswer: -312, -3, 2\/5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52099?\nAnswer: 53, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:06 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2900\/260 + 2\/(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w**2 + w - 5. Determine g(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {r: 2, a: 2, g: 2, i: 7, l: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:26 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Let g = r + 5. Differentiate 3 + 5*l**g + 3*l**3 + 1 with respect to l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 83.94101t?\nAnswer: 83941010000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*v = 4064 - 4054, 0 = -4*r + 3*v + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 1806.\nAnswer: -1625.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 3*p + 19 + 0*p - 378*p**2.\nAnswer: -378*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/2 + 209\/18. Let b(f) = -3*f + 3. Let n = 9 - 7. Let a be b(n). What is the closest to 0.1 in l, a, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 92, 93, 96?\n\"Answer: l**2 - 4*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 0 - (-13 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*b - 10, 4 = -3*w - 94*b + 90*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21716150 (base 8) to base 14.\nAnswer: 8a2452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78870 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/((-1)\/(-15)). Solve -p*m - 6 = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**3\/4 + 75*c**2\/4 + 429*c\/4 - 507\/4 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37044 is divided by 2305?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(14)\/sqrt(2) - 3*-2*sqrt(7))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125059591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from rrriiwrwiwrrrwrr.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 + 59*u**2 + 30*u + 683. Determine z(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 34*v + 248. Let c be d(-7). Solve -q = 4*q - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a**(-10)*a)\/a)\/a**4)\/(a**4\/(a*a**(3\/4))))**(-47))**9 assuming a is positive.\nAnswer: a**(25803\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = 4*j. Let q be (j\/4)\/(5\/(-20)). Solve q*t = 8, -4*t - 2 = -2*w - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 1. Let i be k(-4). Let z = i - -3. Is (z + 21\/9)*57 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 37\/2200940 and 59\/15484?\nAnswer: 15406580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 897 = 1242. Let h = -79 + 111. Let m = f - h. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*k**2 - 58*k**2 + 602*k**2)*(-5 - 5 + 3) as u*k**2 + a + p*k and give u.\nAnswer: -3507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 4*j + 6. Let l be g(3). Let s be ((l\/(-2))\/2)\/10. Which is bigger: 2\/11 or s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -1.1. Let y = -0.2 - -0.4. Which is the closest to s? (a) -0.2 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47136? (a) -3 (b) 4\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(30)\/sqrt(3))\/(sqrt(12)\/(sqrt(96) + sqrt(6))) + 5 + -5*(sqrt(180) + 0 + sqrt(180) - sqrt(180)))**2.\nAnswer: -500*sqrt(5) + 12525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-7 - 1 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11755.\nAnswer: 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064 times -38.65?\nAnswer: -2.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 7*x - 5. Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.017 - -4.017. What is the third smallest value in -1\/4, j, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 - 12*o**2 - 4*o - 3. Let g(u) = 13*u**3 - 20*u**2 - 5*u - 5. Let q(w) = -3*g(w) + 5*n(w). Let a(b) = -b**3 + b. Determine 5*a(c) + q(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -4\/3 (b) 1\/2 (c) 12\/11 (d) 4.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(33)\/sqrt(3)) + -1*sqrt(13) + sqrt(13) + -2 + -5.\nAnswer: -7 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Suppose 0*o - 31 = -3*o - 4*s, -n = 3*o - 4*s. Suppose 2*g - 8 = 0, 2 + 2 = 3*v - o*g. Calculate the remainder when 15 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, -6, -33, -72, -123, -186, -261?\n\"Answer: -6*f**2 + 3*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -3.078635.\nAnswer: -12.31454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323208 + -149067527.\nAnswer: -149390735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14689, -14685, -14681, -14677, -14673?\n\"Answer: 4*d - 14693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 32 - 4 = 0. Let d = -314 + 317. What is the first derivative of 12 + d*t**3 - 7 - a*t**3 wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 7) to base 15\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 43*z + 294. What is x(-10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/171? (a) -4 (b) 4 (c) -0.27 (d) 2370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*y - 5. Let b be (-4)\/y - (-3 - -4). What is the third biggest value in b, 4\/7, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(1\/(-33)). Let b = 25 - u. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*o*s**5 + 2*o*s**4 - o*s**2 + 55*o*s wrt s.\nAnswer: -1500*o*s**2 + 48*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 4)*(-29*x - 9*x - 6*x) + (23 - 2*x - 23)*(-1 + 1 - 1)*(-1 + 2 - 4))*(-3 - x + 2 + 0) + (1 - 1 - x)*(2 - 2*x - 2).\nAnswer: 52*x**2 + 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 - 4*q**3\/3 + 2*q**2 - q. Let l(k) = -k**3 + 3*k**2 + 2*k - 2. Let x be l(3). Let v = x + 2. Calculate o(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-8) + 52080\/(-2688) + 18 + 1. Let s(c) = c**3 + 7*c**2 - 4*c - 39. Give s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 6*y + 3. Let a be m(-6). Let b(k) = -k - 1. Let z be 0 + 17 - (-25 + 48). Let d(g) = g**2 - 2*g - 2. Give a*d(f) + z*b(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, 28, 84, 162?\n\"Answer: 11*d**2 + d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*o - 4*c - 2, 0 = -3*o - 5*c + 3. Let n be (0\/(-1) + o)\/1. Suppose 1 + 5*y**2 - 4*y**2 - n = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -7\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v**(-23)*v)\/v)\/(v**(9\/4)*v))\/(v*v**1*v)**26 assuming v is positive.\nAnswer: v**(-405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + (-98)\/(-21). Let l(n) = -2 - 3*n - n - f. Determine l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 527 + -382. What is the remainder when a is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*3\/(18\/(-44)). Suppose 0 = 5*c - 27 + 7. Solve 3*x = -x - 2*b - v, -b - 17 = c*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 1 + 1 - 3*y**2 - 3*y + 3*y + y**2 - 3 + 3 + (3 - 5 + 3)*(-2*y**2 + 3*y**2 + 0*y**2) + 0*y**2 - y**2 - y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 4*(-2)\/(-8). Suppose -a + 37 = -3*z + 7*z, -5 = -r*a. Suppose 0 = -4*g + 2 + 10. Calculate the remainder when z is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 2:02 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6857491 and 162429.\nAnswer: 596601717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14772920 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1011100100011111?\nAnswer: -1011100100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from qzdzqzqddzzznq.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37704.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(10\/3)*j**(-25))\/(j\/(j\/j**(-3\/19)))**(14\/5) assuming j is positive.\nAnswer: j**(-5764\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, y: 11}. What is prob of picking 4 y?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 41 - 43 = 84 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 58 - 12*q - 1\/2*q**2. What is b(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from icvkikivciicivk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154343 divided by 6?\nAnswer: 154343\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3209213040 to the power of 1\/2, to the nearest integer?\nAnswer: 56650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4795 = -5*r, -4*r - 5*k - 1795 = -5577. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 175 + 0*a**2 + 178 - a**2 - 12*a - 388. Let j be l(-7). Let v(f) = -f**2 - 6*f + 6. Let k be v(-6). Solve j*b - k = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((16 + -11 - (-4 - -2)) + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.8, 4, 3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-10)*-3*(-25)\/90\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.72332061 to three dps.\nAnswer: -15.723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6052 - -108965\/18. Find the common denominator of x and (-6)\/(-8) + 1644\/432.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*i - 36*i - 15180. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5088 (base 11) in base 16?\nAnswer: -1a5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -843 and -118295.\nAnswer: -119138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 15. Sort 3\/5, y, 4 in increasing order.\nAnswer: y, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77\/(-4)*(-900)\/1575. Solve h*c - 13*c = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 7*d**2 + 16*d + 15. Let j be h(-4). Let n = -9 - -7.1. Let o = n + 2. Which is the closest to j? (a) -2 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-2))))**(-16) assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-14))\/(3*(-4)\/42). Suppose k*m = 7*m. Suppose m = -c + 4 - 3. Solve 5*z - c = 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0422*83.51.\nAnswer: -3.524122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21785708?\nAnswer: 2, 7, 778061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -74942 <= -74946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(-51)*(3\/(-7))\/1. Put -0.1, -5, m, 1\/3 in ascending order.\nAnswer: -5, -0.1, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t**3 - 109*t**2 - 10*t + 14. Is h(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10596 is divided by 87?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:53 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/3)\/s*s)*(s*s**(-3))\/s)**(-45)\/(s**(5\/4)*s*s*s**(2\/3)*(s**(2\/5))**(-46)) assuming s is positive.\nAnswer: s**(7169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -102 (c) -0.2 (d) 15 (e) 0.474\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 32 = -7881*s + 7885*s, -2*s + 22 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 6\/25 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*75\/(-30).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 386990517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30545718?\nAnswer: 2, 3, 7, 107, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7695 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 40*m**2 + 4*m - 4. Let b(o) = -440*o**2 - 45*o + 45. Let h be (850\/750 - (-6)\/(-45)) + 3. What is h*b(l) + 45*d(l)?\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2452 - 4240?\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47838645 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j - 57. Give r(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/19933 + -26590634\/59799. Let t = -451 - l. Find the common denominator of t and (-4)\/(-18) + (-574)\/(-90).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 34*r + 95. Calculate v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + ((-175)\/(-15) - 6)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 4054453.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/2 + 272847*d + 50740893\/2 = 0.\nAnswer: -545601, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13394.42 + 45\nAnswer: 13439.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 + 3 - 6 - s + 2. Let b be 2 + 0 - 0\/(-13). Calculate the remainder when 47 is divided by u(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -24*r + 306. Calculate the greatest common factor of r and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58594, -59118, -59642, -60166, -60690, -61214?\n\"Answer: -524*q - 58070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plbx when four letters picked without replacement from xxxxxxpbbblbblxpll.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.23038473 and 0.14734.\nAnswer: -1.08304473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let b(j) be the second derivative of 239*j**4\/6 - 729*j. Determine u(b(h)).\nAnswer: 228484*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4764*u - 4756*u - 2720 = -9452*u for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 330*i - 3892. Let g be x(12). Calculate the highest common factor of g and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6151.07 millennia to centuries.\nAnswer: 61510.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 - 2603481*a**3 - 18224538*a**2 + 20828016*a = 0?\nAnswer: -8, 0, 1, 867834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -16. Suppose 2*s + 386 = -2*p + 66, -2*s - 320 = k*p. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/176*-11)\/(-9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let w be p\/(-2) + 36\/8. Suppose w*m + l + l = 19, m - 13 = -5*l. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71135731 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/211172 and 43\/8122?\nAnswer: 211172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 957115030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.5832 litres to millilitres.\nAnswer: 31583.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1294790183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -337, -344, -363, -400, -461, -552?\n\"Answer: -q**3 - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/223806 and 127\/12.\nAnswer: 447612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6*z + 216. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 21*o - 4. Let m be g(-10). Let i(b) = b - 13. Give i(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-14\/11)*g*g\/(g\/(g*g*g**(-1\/4)*g))*g**(-6)*g**0\/g**3*g**(2\/5)\/(g*g**2\/g*g) assuming g is positive.\nAnswer: g**(-1447\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(3*t - 40 + 40 + 2*t + 0*t + 0*t + (-1 - 1 + 3)*(t - 3*t + t))*(1 + 4*t**2 - 4 - 6*t**2) as o*t**3 + q*t**2 + y*t + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9836 divided by 2?\nAnswer: 4918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*p - 6 = -945*p + 311*p + 320*p - 6*t, 5 = -p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 6. What is u(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -103. Let q(m) be the second derivative of -18*m**2 - 8*m + 0 + 4*m**3 - 1\/3*m**f. Factor q(y).\nAnswer: -4*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p**2 + 1387*p + 423. Determine m(116).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 8\/5*s**5 + 61 - 149\/2*s**4 + 648*s - 1656*s**2 + 2954\/3*s**3. Solve d(p) = 0.\nAnswer: 1\/4, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/12 - (-4)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ed31 (base 16) to base 14.\nAnswer: -34025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19855 and 11.\nAnswer: 19855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**2 + 3*i + 24. Let d(c) = 4*c**2 - c - 12. Give -5*d(r) - 2*w(r).\nAnswer: -2*r**2 - r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - p + 11 = 0, -2*o - 106 + 96 = -2*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2331 (b) -1\/2 (c) 0 (d) 1 (e) -19 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 2*x - 3. Let d be h(0). Put -16, 2, d in descending order.\nAnswer: 2, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -783 (b) 0.5 (c) -2\/55 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 2*g**2 + 4*g - 2. Is 6 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y - 2)*(62 - 132 + 102)*(1 + 4 - 3)*(2*y - 3*y - y)*(-2 + y + 2).\nAnswer: 256*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.3 (c) 115 (d) 3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 - 4*n + 3. Let l be p(2). Let x be 10\/(6\/l*-3). Solve -z - 3*z - j + 11 = 0, -x*j + 1 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3113 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m**2. Let d be (3 - 68\/28)\/((-1)\/(-7)). Let w(y) = -d*y + 0*y + y + 2*y. Determine w(z(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 88816.\nAnswer: 88815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -24, 1\/3, 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*t - 4243 + 4189 - 33*t as o*t + a and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10113453 + -3301?\nAnswer: -10121154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2118*d**2*v**2 - 849*d**2 - 1 wrt v?\nAnswer: -4236*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 9811*f - 5084879. Give c(549).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 2 y when four letters picked without replacement from {y: 4, x: 5, o: 6, z: 3, e: 1, p: 1}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (-42 - -82)) + -54.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 37 + 13. Let f be (0 - -3)*(m + (-40)\/(-12)). Solve -4*u = -2*u + f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0697*-0.4\nAnswer: -0.02788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 733*p - 797*p - 25600. Which is smaller: -386 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 35*c**2 + 2*c + 10. Suppose -4*l + 63 = 3*l. Suppose 35 = -14*b + l*b. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799970.5 millimeters in nanometers?\nAnswer: 799970500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 83\/4, -12\/13, -0.3, -2, -24, 3\/7, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 315*j**2 + 112*j + 124. What is the tens digit of a(105)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6940, -5, 18 in descending order.\nAnswer: 6940, 18, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 15 - -10 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 0*l + 9*l = -21*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5420*s**2 - 2709*s**2 + 7*s - 2708*s**2.\nAnswer: 3*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1626, -920, 1026, 4842, 11158?\nAnswer: 20604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - l + 21 = 0, 5*f + 4*l = 2*l + 36. Let s = -3 + f. Let b be s + 0\/(2 - -1). Let w(g) = g**3 - 4*g**2 + g. Give w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (60 + -70 - 38).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313 or -15380\/49?\nAnswer: -15380\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:31 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 609 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*2\/(-5)*((-35)\/(-28))\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(32\/8) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -31499*o**3\/3 - o**2\/2 - 6*o + 40. Let q be t(-2). What is q rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 24\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3772\/410 + (-8)\/2)\/(4\/10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 + (5 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 5*l - 2. Let y be f(2). Suppose 3 = 4*r + j + 19, 0 = y*j. Let z(b) = -b - 4. What is z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**5 - 21*v**4\/4 + v**3\/3 + v**2\/2 - 2838*v - 6611. Find the second derivative of o(q) wrt q.\nAnswer: 60*q**2 - 126*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696\/464*(100\/(-39))\/5?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -71*c**7\/42 + 13*c**6\/15 + 3*c**4\/4 - c**3\/2 - 14*c**2 - 1963*c. Find the third derivative of a(t) wrt t.\nAnswer: -4260*t**2 + 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/10*222\/444. Let w(s) be the first derivative of 2\/3*s**3 - g*s + 4\/5*s**2 - 3\/10*s**4 + 16. Find o such that w(o) = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853615370 rounded to the nearest 1000000?\nAnswer: 854000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879845 is divided by 506?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 6.592546811695?\nAnswer: -22.592546811695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59751, 119498, 179233, 238956, 298667, 358366, 418053?\nAnswer: 477728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is the tens digit of (-40)\/(-6)*(-270)\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 15, -3*l + 5*h + 90 = 17. Suppose -l = n - 0*n - 2*k, 2*k = 10. Let g(i) = -i - 8. What is g(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let q be y(-4). Let s(i) = -2*i - 3. Let a be s(-4). Let u(o) = 6*o + 5. Let v(n) = 1 + 5 - 5 + 3 + 5*n. Give a*v(g) + q*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.4 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 315?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13092 - -13091.97. Put 0, -0.2, -0.8, h, 1\/4 in decreasing order.\nAnswer: 1\/4, 0, h, -0.2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001010011100101 (base 2) to base 8.\nAnswer: -212345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366.627 + -0.373. Let a = 366.99999908 + s. Round a to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*y - 50, 43 = f + y - 29 + 59 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -475875 times -0.3\nAnswer: 142762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1 times -2.2481?\nAnswer: -27.20201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -2\/15, 2, -8, 3001\/3 in descending order.\nAnswer: 3001\/3, 4, 2, -2\/15, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -65?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59942 is divided by 29925.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Let z(n) = 3*n - 6. Let s be z(3). Suppose y*m = s*b - 19, 2*b + 4*m = 39 - 13. Solve 1 + b = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*o - 3674, 2*w + 5*o - 2*o = 1833. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/11 + 140*k**3\/11 - 1546*k**2\/11 + 4284*k\/11 - 2880\/11 = 0. Calculate k.\nAnswer: -80, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/487256 and -9\/5968886.\nAnswer: 23875544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/3, 6.1, 1, -7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(52) + 3 - (2 + sqrt(1872))) + -4)**2 + -1.\nAnswer: 20*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2))\/g*g**(1\/4)\/g)\/(g\/(g\/g**0))**(-10))\/((g**0\/g**8)\/((g\/(g**9*g)*g)\/((g*g**(3\/10)*g)\/g))) assuming g is positive.\nAnswer: g**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 5*l**3 - 8*l**3 - 6*l**3 - 6*l**2.\nAnswer: -9*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 563.1 + -563. Let q = -0.17 + 0.1. Is f at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93641, -186807, -279973, -373139, -466305?\nAnswer: -559471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 4. Let n be m(4). Let d(l) = 706865*l + 103 - 706862*l + 11. What is the hundreds digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from {l: 3, c: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 - ((-3 - -23) + -16) - (69 - 154).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9c7765 - -29?\nAnswer: -9c773c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10183121370 to the nearest one million.\nAnswer: 10183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 17}. What is prob of sequence ttii?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -5*o, 5*n = 21 - 1. Suppose k - 2*f = -k, o*k + 3*f - 10 = 0. Solve -4*s - 2*z = -2 - 12, k*z = -s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 + 25 = 0. Let f be (-3)\/(36\/8)*-3. Suppose f*p = 6*p. Which is the closest to p? (a) i (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(38 + -28 + 10\/2). Which is the nearest to 0? (a) -5 (b) g (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151162*k**2*u - 1389*k - 2*u + 2 wrt k?\nAnswer: 302324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 7}. Give prob of picking 2 c.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (1 + sqrt(17))**2).\nAnswer: -85 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from vclcvccvlccv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + h**5 + h**5 + (2*h**5 + 0*h**5 - h**5)*(14 - 3 - 3) + (2*h + 3 - 3)*(1 - 1 + 2)*(3 - 4 - 3*h**4 + 6).\nAnswer: -5*h**5 + 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from {q: 1, k: 10, p: 1, j: 2, n: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*b + 6. Suppose 9*y - 4*y - 21 = -3*i, -y + 21 = b*i. What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0116243878 to 5 dps.\nAnswer: -0.01162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10442 + 10444. Let w(n) = -n**3 + 5*n**2 + 2. Let z be w(5). Determine t, given that 8*t**z - 3*t**2 - s*t**2 - 2*t**2 - 3 + 2*t = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4 - 17. Let h = 11 - c. Solve 3*d = -d - h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let k = 19 + -46. Let b = k + 49. Calculate the smallest common multiple of b and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119242 + -834679\/7. Find o such that b*o - 27\/7*o**2 + 9\/7*o**3 + 0 + 3\/7*o**4 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 11866?\nAnswer: 47464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 11*p + 7. Suppose s - 2*o + 6 = -9, o + 5 = -2*s. Let v be i(s). Is v\/(-6) + 5808\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*k**2 - 820 + 37*k + 6*k**2 - 17*k**2 - 852*k = 0. Calculate k.\nAnswer: -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3)*2*2 + ((sqrt(243)*2)**2 - (sqrt(192) + 1 + sqrt(192))**2).\nAnswer: -28*sqrt(3) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**7\/840 - p**6\/240 + 29*p**4\/12 + 11*p. Let n(o) be the third derivative of c(o). Find j such that n(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 - b**2 - 9*b**2. Let d(s) = 11*s. Calculate r(d(t)).\nAnswer: -363*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 995679457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4798515 divided by -15?\nAnswer: -319901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51769557 divided by 7395651.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3008\/3*s + 288 - 6*s**4 + 1040\/3*s**3 - 3728\/3*s**2 = 0 for s.\nAnswer: -2\/9, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3103 + -4488. Put 2\/9, 3\/4, t in ascending order.\nAnswer: t, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2 = 2*j, 10*a - 6*a = -3*j - 25 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-3))\/((-19)\/(-114)))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 2, n: 7}. What is prob of picking 1 t and 1 a?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 10*q**3\/3 - 2351*q. Let t(r) = -r - 7*r + 0*r. Determine c(t(x)).\nAnswer: -160*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 60\/12)*(-1)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30\/19831 - -536527945\/158648. Let l = 3371 - m. What is the common denominator of l and (1 - (4 - 41\/9)) + -3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 77 = 29*d - 214 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 3971061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.650872 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111101000010111011 (base 2) to base 5.\nAnswer: 313023434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17206\/(-14748))\/(1\/10)?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 - 7) + -19)*-6. Let y = -135 + n. Solve -6*m = -y*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 298721413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -3*n**2\/2 + 5*n + 2. Let a(w) = 112 + 5*w - 4*w - 106 - 4*w - w. Calculate 4*a(m) - 5*x(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11439.61341 to 0 dps.\nAnswer: -11440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(((v\/(v\/((v\/(v*v**(1\/4)))\/v)*v))\/v)\/v))\/v*v**(2\/21))**16 assuming v is positive.\nAnswer: v**(1796\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 - h**2 - 5*h + 1232. Is 11 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/4 + 3*j**2\/4 - j\/2 = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {t: 4, m: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 216 and 249 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.79501 litres to millilitres.\nAnswer: 795.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 + 2 + 8 + -26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6935 * -0.0938\nAnswer: -650.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -88 + 38 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**1)\/m))\/m)**(-3\/35)\/(m\/(m\/(m\/(m*m**2\/m*m))*m)*m**0)*(m\/((m**1\/m*m)\/m))**(-2\/41)\/(m**(-3\/8)*m*m**4) assuming m is positive.\nAnswer: m**(-18231\/11480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmmlqmmlfq. Give prob of picking 1 f and 1 m.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8491 - 8172. Calculate the highest common factor of c and 31900.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/8 + 17931*d**2\/8 + 3350295*d + 3348054.\nAnswer: 3*(d + 1)*(d + 2988)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*1 + -58 + (-1176)\/(-32)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, 2 in descending order.\nAnswer: 2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*w + 2*w. Suppose -w = 5*j - 6*j. Factor -j*s**2 - 6*s - 10*s**2 + 4*s - 8*s - 5*s**3.\nAnswer: -5*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -37, -147, -375, -763, -1353?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/99 + (-1076)\/(-11). Suppose z = 3*f - 137, -3*f + 5*z + 59 = -a. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**3 + x**2 + x. Let d be p(-1). Let s = -5 - d. What is the second derivative of -s*l + 1 + 7*l - 1 + l**3 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac3 (base 15) to base 9.\nAnswer: -3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 13 - 1\/30*h**4 + 0*h**2 - 19*h + 2\/15*h**3. Let x(m) be the first derivative of b(m). Factor x(r).\nAnswer: -2*r*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3150 is divided by 343.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-18)\/12). Which is the closest to 1? (a) h (b) 1\/9 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 16*h. Let z(j) = 3*j. Let a(b) = 2*m(b) - 11*z(b). Let c(q) = 2*q**2 + 6. Let v(d) = -4*a(d) + c(d). Is v(-7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/7)\/(g**(-5)*g)*(g**(1\/4)*g*g)**31 assuming g is positive.\nAnswer: g**(2041\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333656 is divided by 8034.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -885293 (base 13) in base 11?\nAnswer: -18a2a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*28\/(-32)*((-396)\/(-210))\/22.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*r - 12, y = -0*y - 2. Find the second derivative of r*d + 2*d - d + 2*d**3 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m + 4. Let l(q) = -4*q - 3. Suppose 0 = 5*t + 25 + 5. Give t*l(v) - 5*u(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-18) - (-2 - 0))*12. Suppose m*y + 4*g - 6 = 10, -g = -2*y + 2. Is 2 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14866 + 39971. What is s rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/3*138\/8. Suppose 5*p + y = q, -2*p + 42 = 3*p - 3*y. Suppose 4*i - 2*j = 316, -2*i + 2*j + 152 = -2. What is the highest common divisor of i and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:47 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2464*t**3 + 893*t**2 - t + 9660283 wrt t?\nAnswer: -7392*t**2 + 1786*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1443, -2889, -4335, -5781, -7227, -8673?\nAnswer: -10119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 48. What is the remainder when j is divided by 33\/22 + (-28)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6 + (-2)\/6. Suppose -i*g + 12 - 3 = 0. Suppose -g*v + 43 = -17. What is the smallest common multiple of v and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -3.06015\nAnswer: 0.61203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 194, 197, 200, 203, 206?\n\"Answer: 3*k + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2936873845 + 33597836682701\/11440. Let j = -1\/2288 + m. What is the common denominator of j and ((-1)\/5)\/(44\/(-290))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 10:47 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:29 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/96, 1, 8 in decreasing order.\nAnswer: 8, 1, 5\/96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - 39\/(-9). Suppose 0 - 5 = -5*h - 5*z, s*z - 19 = h. Let o(n) be the first derivative of 2*n**3\/3 + n**2 - 4*n + 3. What is o(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -428, -856, -1284, -1712, -2140, -2568?\n\"Answer: -428*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 15*x - 20. What is h(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5679 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*d - 1690 = 312 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.56927 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 + 99. Let b = -0.0752 + 30.0152. Let f = w + b. What is f rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36090 and 11064?\nAnswer: 66549960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**3 + 4*h**2 + 2*h - 5. Suppose -2*f = -7*f + 20. Let p = f + -5. Let d(t) = t**3 + t**2 + t - 1. What is p*m(j) + 4*d(j)?\nAnswer: -2*j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -38.3. Sort 3\/5, i, 1\/3 in descending order.\nAnswer: 3\/5, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/12, -1, 2\/33, 0.1, 11\/23?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/10*(18\/4 - 2). Suppose -8*t = -f*t + 75. Calculate the remainder when 112 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1049*t + 4681*t - 482*t + 1781*t to the form g*t + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2455 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b - 8. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + 10 + (-4 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*i - 20, 3*x = -4*i - i - 30. Let j(a) = -a**2 - 3*a - 4. Let r be j(i). What is the common denominator of (-75)\/2*1\/r and -97\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(6*g - g - 4*g)*(g - g + g)*(-2*g - g - 11*g) to the form j*g**3 + d*g**2 + q + n*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 638 and 244615.\nAnswer: 5381530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*s**2*u**2 - s**2*u - 5*s**2 + 4*u**2 wrt u.\nAnswer: -18*s**2*u - s**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-5) - 4\/10. Calculate the common denominator of y\/2*220\/(-42) and (12\/(-9))\/(2\/16).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - 2.2. Let r = o + 6. Let f = 655 - 654. Which is the closest to f? (a) r (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/169 (b) -0.0538 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11960*j - 115860 = -2211*j - 432439 - 200118 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2722224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + -1*(sqrt(567)*-1 + -5)*4)**2 + 4.\nAnswer: 1800*sqrt(7) + 9699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10836, 0, -4\/3, -2\/45, -2, 1\/4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-516 - 6317 + 1308)*(3*h + h + 0*h) + 4*h + h - 6*h + (-2 + 1 + 0)*(-2*h - h + h))*(-2*h + 0*h + h).\nAnswer: 22099*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0749 times 2.52\nAnswer: -0.188748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*m = m - 15 + 71, d + 98 = 7*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + f**3 - 5*f**3 + 1 - 4*f**3 - 6*f**3 to the form j*f**2 + n*f + m + k*f**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.057.\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8097072 and 1349512.\nAnswer: 8097072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219 by 1.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*f**2 - 114*f**2 + 14*f**2.\nAnswer: -165*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -5 (b) -1 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -1 + -3 + 14 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4*d)\/d**(3\/2)*(d\/d**(-1))**(-1\/13))\/(d*d**(-10)*d\/d**(-10)*d)**(-45) assuming d is positive.\nAnswer: d**(3597\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1820*s - 1826*s - 180 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -2\/7 (b) 0.6 (c) -5\/4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 1 - 7. Let j be (w + 72)\/((-1)\/2). Let a = -698\/5 - j. What is the second biggest value in a, 3, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 65*q**2 - 230*q + 83. Calculate c(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501535929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n**2 + 7*n - 9. Let a(r) be the second derivative of -7*r**4\/12 + r**3 - 4*r**2 + 9*r. Calculate -7*a(m) + 6*f(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 + 2*r**2 + r**4 - 7*r**2 - 2 + 3*r**3 - 6*r**2 to c*r**2 + z*r**4 + h*r**3 + n*r + o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by -86.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/17 (b) 4\/3 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -292 - -298. Solve -v = 3*u - 2, -2*u + 9 = -y*u + v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1680 and -157\/1200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/2 + 1450315*o**2\/2 - 2900600*o + 2900590.\nAnswer: -5*(o - 290059)*(o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let s be -1 + x\/((-66)\/782). Let k = 376\/11 + s. What is the common denominator of k and -57\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (-1)\/3. Let z be 3\/(90\/4) - 209\/855. What is the closest to 1 in -5, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-63))\/((-9)\/21). Let v = d - 10\/27. What is the biggest value in v, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07576 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a**2 - 10*a - 334. Let r(b) = -91*b**2 - 55*b - 1669. Let x(z) = -11*p(z) + 2*r(z). Let g(m) = -3. Calculate -336*g(n) - 3*x(n).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265282 take away -3361?\nAnswer: 268643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4070459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 40 - 8*s - 24 - 17. What is the tens digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383738 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 - 10*u + 7. Give m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 2 = -g + 2*p, -g + 5*p = 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 31*n - 369. Let o be q(12). Sort -5, -4, -1, 2, o.\nAnswer: -5, -4, -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17))**8*(q\/q**3)**(-17\/2))**16 assuming q is positive.\nAnswer: q**(4368\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 223635 + 64024 - 104579 - 40*c.\nAnswer: -c - 264190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19 - 13)\/((-27)\/2). Let f(s) = -s**2 - 5*s. Let v be f(-5). Put -1, j, v in descending order.\nAnswer: v, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13199*s**2 + 4 + 2 + 14157*s**2 - 8 + 2.\nAnswer: 958*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74.16175 and -1.\nAnswer: -74.16175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*g**3 + 0 + 0*g - 2\/5*g**4 - 14\/5*g**2.\nAnswer: -2*g**2*(g + 1)*(g + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, i: 1, v: 4, p: 2, h: 2}. Give prob of picking 1 p, 1 k, and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 3. Let p = -13 + 8. Let t = p + b. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from abtrbbbo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122*j**2 + 66*j - 82887?\nAnswer: 244*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o**4 + 60*o**3 + 215*o - 2*o**5 - 23*o**2 - 193*o - 41*o**2 = 0. Calculate o.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.55 - 0.05. Let k = 1 - 0.8. Let g = -1 - -1. What is the nearest to g in -2, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3209*c + 4863*c = -5782*c + 602316 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18690719401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 11, i: 1, f: 5}. What is prob of picking 3 z?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 0.1 (c) 1\/6 (d) -3 (e) -1 (f) -1.66\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*g**3 + 3*g**2 - 589*g?\nAnswer: -552*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 1, k: 2, z: 2, p: 1, j: 1}. Give prob of picking 1 k, 1 s, and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 746 + -746.721. What is i rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 45 = -2*b. Suppose k + 19 = -6*q + q, 5*q + 5*k + b = 0. Let g(f) = 3*f + 2 - f**2 + 7*f - 13*f. What is g(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2*l - 4*g + 22, 5*g = 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q - 1\/2*q**2 + 0*q**3 - 1\/24*q**4 - 1. Let d(g) be the second derivative of s(g). Let l(n) = -4*n**2. What is l(d(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17516594.\nAnswer: 2, 19, 41, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 12*y**2 - 2*y**3 + 16*y + 9*y**3 - y**3. Let v(d) = 4*d**3 - 8*d**2 + 9*d. Let i(m) = -5*t(m) + 7*v(m). Solve i(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11, -2\/5, 2\/9, 0 in descending order.\nAnswer: 5\/11, 2\/9, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151*x**3 - 6004*x**3 - 24 + 26 + 2918*x**3.\nAnswer: -1935*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*q**2 + 188*q**2 - 1 + 1 - 238*q**3 + 39*q**2 wrt q.\nAnswer: -1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 172.5 * 48489.\nAnswer: 8364352.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/(((-56)\/(-60))\/7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31\/42 + -4\/7. Suppose -27 = -8*t + 5*t. Suppose -2*s = 3 - t. What is the second biggest value in s, 1\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - d**4 + 3)*(-5 + 0 - 7)*(-5*d + 5*d - 2*d).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*m + 291 - 1437 = 0, 4*m = -2*n + 2272. Suppose -5*l = -324 - n. Suppose 3 = -3*q, -5*v + 2*q = -3*q - l. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:18 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Convert 1.196937mm to centimeters.\nAnswer: 0.1196937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**6\/360 - k**5\/24 + 5*k**4\/24 + k**3\/6 - 4*k. Let b(p) be the second derivative of a(p). Give b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 76 - 4 = 0. Let o = 29 + -28. Calculate the remainder when r is divided by 7\/1*(o + (-4)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-9)\/(-6))\/((-14)\/2375996) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 16 = 1. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 0.08627591.\nAnswer: 0.0112158683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 1. Let c(r) = 4 - 3*r**2 + 5*r**2 - 17 - 3*r**3 + 8. Determine -c(h) + 4*y(h).\nAnswer: -h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 829*c + 1 - 1693*c + 864*c + 8*c**3.\nAnswer: 5*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.812 + -2.42.\nAnswer: -1.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.112 and 5711.\nAnswer: -639.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 246*r - 13. Let j(i) = -19*i + 1. Let v(l) = -a(l) - 13*j(l). Let c(p) = -5298*p. Give v(c(o)).\nAnswer: -5298*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/264)\/((-7)\/3)*(-10)\/(-5).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 24629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 - d - 1. Let l(p) = -7*p**3 - 5*p**2 + 4*p + 4. Let z(g) = l(g) + 4*y(g). What is the third derivative of z(w) wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1587250 + 258250 = 100*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/3)\/f)\/f**(-2\/31)*f\/(f*f\/(f*f**0*f)*f)*f**10)**(6\/7) assuming f is positive.\nAnswer: f**(1252\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -5.09. Let n be (-5 - -5) + 0 + 0. Let t be (20\/(-105))\/(-11 - 632\/(-56)). Which is the closest to n? (a) 4 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 3 - 20*y + 59*y - 25*y.\nAnswer: -10*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-12))\/((-2)\/4). Suppose -i - 4*f - 11 = 0, -f - 6 + 3 = 0. Let g be i\/(-3) - 4\/(-3). Which is the second smallest value? (a) g (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(-6)*(-3)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -928*b - 3995. Give t(-4).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + d**2 - d**2 + (-d + 2*d**3 + d)*(5*d - d + 2*d) + 4*d**4 - 3*d**4 - 3*d**4.\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1170 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, -2\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11623 and 18.\nAnswer: -209214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/18 + (-136)\/6. Let w = 31 + o. Solve 2*g - 1 = w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13216 (base 11) to base 2.\nAnswer: -100100111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-173)\/(-1384))\/((-1)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 252036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 461 = 43. Let d be (k\/42)\/((-11)\/(-154)). Solve 0 = 2*i - d, -3*m - 2*i + 16 = -8*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p - 5320 = -77*p. Let c(j) = 7*j**2 - 49*j - 13. Let v be c(13). Is p equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.037 + 34.037. Let r = 36 - t. Put 1\/8, -5, -2\/43, r in increasing order.\nAnswer: -5, -2\/43, 1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4659?\nAnswer: 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 54*o**2 - 358*o + 98. Determine s(46).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i**2 + 877*i + 1234. What is v(-57)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5063069 and 45709.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*h**3 + 195 + 189\/2*h - 99*h**2 = 0 for h.\nAnswer: -1, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -0.04, 5, -0.4, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*l - 17 = -20, h + h + 3*l - 39 = -3*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*n - 82397096 = -3*n + 38*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d**3 - 16135*d**2 - 6327530*d + 3167800 = 0. Calculate d.\nAnswer: -940, -674, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:19 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70\/23 in -5\/91, 4, -9.2, -0.2, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378399703.\nAnswer: 11, 23, 37, 40423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679 * -2816.\nAnswer: -1912064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 11483\nAnswer: -1148.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/n**11)\/n)*n)\/n*n)**(-29)*(n\/(n**(-5)*n))\/(n\/n**(1\/3)) assuming n is positive.\nAnswer: n**(-1031\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*m - 34480 = 0, 4*q - m + 11498 - 39082 = 0. Suppose 2138*h + q = 2146*h. What are the prime factors of h?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*d**3 - 23*d**3 + 29*d**3 + (-3*d**2 + 3*d**2 - d**2)*(-3*d + 2*d - d) + d**3 + 4*d**3 - 4*d**3.\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.7 + 40. Which is the nearest to -3? (a) -1\/8 (b) p (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182*b + 117*b**2 - 270*b - 3*b**2 - 8477 - 16*b**2 + 74*b wrt b?\nAnswer: 196*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 5*w**5 - w**5 + (-1 + 1 - 2*w)*(-4*w**3 + w**3 - w**3)*(1 - 1 - 3*w).\nAnswer: -23*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b + r - 466, -5*b + 3*r + 462 = 0. Let y = b - 71. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 16. Let p be (-4)\/h - 18\/(-4). Suppose -2*m + w = 6, -4*m - 409*w = -405*w + 36. Sort m, p, -4 in decreasing order.\nAnswer: p, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*u + 18, -4*u - 9 = -7*u - 5*r. Suppose -u*s = 63 - 279. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*n**2 - 13*n**3 + 16*n**3 - 11*n**2 to p*n**3 + m + r*n + c*n**2 and give c.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let a be (-4)\/(-14) - 209\/(-77). Put u, a, -2 in descending order.\nAnswer: a, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(50\/8325). Let p = 117 + u. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73248423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/14)\/((-10)\/(-35)). Suppose t*v = 4*h - 12, 4*h - 3*v = -4*v - 13. Let j = -1 + h. Sort -2, 1, j.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjou when four letters picked without replacement from {o: 1, j: 6, n: 2, q: 5, u: 5}.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10) - (sqrt(90)*-5 + sqrt(10)))*-3)\/(6*sqrt(36)*2*4).\nAnswer: -sqrt(2)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 23. Let q be u(10). Suppose 3*s = 4*h - 20, -3*h = h + q*s + 4. Solve -m = h*m + 4*v + 4, -m + 4*v + 20 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n**2. Let m(y) be the first derivative of 22*y - 1\/4*y**4 + 0*y**2 + 0*y**3 + 24. Let x(d) be the first derivative of m(d). Calculate v(x(s)).\nAnswer: -117*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705296 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 0.8. Let u be -1*(1 + 1\/2). Let s be 22\/(-48) - 3\/(-9). What is the nearest to b in s, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 254\/10 - 252\/(-420). Solve 3*r - 14 = -j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 46 = -t, -4*c - t - t + 100 = 0. Suppose -2*x = -5*x - j + 4, -c = -3*x + 3*j. Solve -u - 16 = x*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3*f**2 - 5*f - 4. Let j be y(-3). Suppose -2*q - 6 = 0, q = 5*k - j - 2. Solve 0 = 3*o + 12, 0 = k*w + 4*o - 5 + 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152831821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 7*d**2 + 7*d - 11. Give n(8).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwlzdwdzzwwzzzwzdz. What is prob of picking 2 w?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1154145*n**2 + 96 + 1154138*n**2 + 23 in the form v*n + m + h*n**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -x - 5*n, -n + 4*n + 15 = -4*x. Let m = -4 - x. Solve m*d + 4 = 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00771 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + h + 6*h + (0*h + 3*h - h)*(2 - 4 - 2 + (-2 - 2 + 3)*(1 + 3 - 6)) to the form q*h + r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 9 = 0, -45*p + 0*m + 3 = -105*p + 61*p + 5*m + 13 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 not equal to 687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - (0 - 3)) - (312 - 348)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (260\/45 + 5). Let c = -839\/72 - x. Solve -1\/4*t + c - 1\/8*t**4 + 0*t**2 + 1\/4*t**3 = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**8\/6720 + b**7\/2520 + b**6\/360 - b**5\/40 - b**4\/12 + 3*b**2. Let z(d) be the second derivative of p(d). Determine z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 611745536 and 3424.\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4 and -45\/47.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w + 4*w - w.\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Suppose -3*n - 4*r = -21, 2*n + r - 15 = -d*n. Suppose w + 7 = 2*w + c, 0 = -n*w - c + 17. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/((-32200)\/207)*(-5)\/(-3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -0.7. Let h = n - 0.4. Suppose 0 = -5*f + 3*y - 1, -4*f + 4 - 21 = 3*y. Which is the biggest value? (a) 3 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 11 + 5 - 3 + 0*v**2.\nAnswer: 2*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 179 - 356 + 16129*m**2 - 508*m + 181.\nAnswer: (127*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18203\/(-47929) + (-5*24\/(-280))\/1.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180)*-1*-6*-5)**2 + 2 + 4.\nAnswer: 648006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4 + 6*r**2 + 8*r + 5. Find v such that p(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31616\/(-48))\/(-19)*(-1 + 70) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a week in hours?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90693 by -4.\nAnswer: 90693\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 15*b - 5*b - 4*b - 5*b. Suppose 19*u - 12*u = -294. Let w = 43 + u. Give d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 50. What is o(29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*h = -8, -3*u + 107 - 135 = 4*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4760248 and 55\/2218368?\nAnswer: 228491904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 11*n. Suppose 2*p + p = n. Solve -o + p*o = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135927 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 1, -3, -0.5, 0, 663, 3\/2.\nAnswer: -3, -0.5, 0, 2\/17, 1, 3\/2, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -4*j + c, -5*j - 244*c - 291 = -240*c. Which is bigger: -2.4 or j?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20124.2 to the nearest 100.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 e when three letters picked without replacement from bebjjjljewbele?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*d + 10, -o + 6*o - 3*d + 2 = 0. Let j be ((-2)\/(-8) - 1)*-4. Let a = 53 + -49. Sort o, -1, j, a in decreasing order.\nAnswer: a, j, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i**2 - 433383*i + 8908694 = 0.\nAnswer: -39419, 226\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1 - 115\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 0, 5*h + 1 = y - 19. Suppose y = -2*m - 6*o + o + 7, -5*m - o + 52 = 0. What is the smallest common multiple of m and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {b: 6, x: 3, f: 6, s: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14590710 divided by -1621190.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-70)\/(-74)) + 0 + 5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -5*y - 3*d + 699, -3*d = 3*y - 525. Let o = 1 + -1. Suppose o = 7*g - 2*g - y. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/15, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + 1.7. Let z = 1.5 + r. Let n = -78 - -77.9. Sort -1\/6, n, z in descending order.\nAnswer: z, n, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19 = -5. Let v be 1 + -3 + k + -1. Let h = 11 + -7. Solve -q - 4 = -h*x + 3, x = v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 + (80 - 195) + (7 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.62 in 2\/3, 4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7012*l - 49027. Give j(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 17307 - 8943. Round b to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l*p**3 - 4*l*p**2 - 819*l*p + 2638*l + p**3 + p**2 + 5592016*p - 4 with respect to l.\nAnswer: 5*p**3 - 4*p**2 - 819*p + 2638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-9)\/6))\/(85\/(-510))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1121 - 120?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 332 = o - 0*o, -3*o + 4*q = -944. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7))**(11\/3) assuming i is positive.\nAnswer: i**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7699601 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 0*g - 2*g + (g + 0*g + g)*(3 - 1 + 0))*(9*g**2 - 167 + 2*g + 167)*(-12*g - 16*g + 18*g) to m*g + y*g**4 + z*g**2 + r + w*g**3 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 34) + -4 + -21 + 159?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*(o**(-1\/2)\/o)\/o*(o**0\/o)**8)\/((o*o*((o\/(o**(-1\/3)\/o)*o)\/o)\/o)**(1\/13)*((o**(4\/7)\/o)\/o)\/(o\/(o\/o**4))) assuming o is positive.\nAnswer: o**(-3455\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5086158100 rounded to the nearest 1000000?\nAnswer: 5086000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812, -739, -626, -479, -304, -107?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let i(l) = 59*l - 523. Let k be i(11). Is 2 + (-7)\/14 + k\/a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17)*5)**2*3 - (-1*(sqrt(1088) + -1))**2.\nAnswer: 16*sqrt(17) + 4011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(700)*1))**2.\nAnswer: -1440*sqrt(7) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 2. Suppose 5*j + 18 = -4*s, -4*j + 0*j + s - 6 = 0. Let k(h) = h. Calculate j*k(r) - z(r).\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -565 (b) -2 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 1692.\nAnswer: 55836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.950625nm in millimeters?\nAnswer: 0.000004950625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, 0.3, 2\/9, 4\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174436408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - -82.4. Let i = 0.8 - 1.4. Let v = m - i. Which is the nearest to v? (a) -3 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 2112*l**2 - 41211*l.\nAnswer: 3*l*(l - 723)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 8*s**2 + 3*s - 1. Suppose 4*f + 2*z = 36, 2*f - 2*z = 2*z + 8. Let k be h(f). Suppose k + 7 = 3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 0.3 (c) 3 (d) 41 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3330 is divided by 553.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/5*70\/4. Solve 5*c = -3*g + k, 3*g + 0*c = -2*c + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16411992.\nAnswer: 2, 3, 683833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z + 4. Let g be j(4). Calculate the common denominator of -23\/20 and (-322)\/8 + (-8)\/g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, -1120, -1197, -1306, -1447?\nAnswer: -1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 47. Let b be 108\/(-24)*y\/6. Solve b*d - 9 = -n - n, d - 2 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 3*m + 3, 4*m = 5*p + 4. Solve p = -4*r + 2*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 - -77. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)\/k**(-15)*k**(-3)\/(k\/k**(-18)) assuming k is positive.\nAnswer: k**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/51326396 and -27\/10.\nAnswer: 256631980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = -4*n, 0 = -0*n - 3*n - 2*m - 7. Suppose -4*f + 17 = 5*k, n = 5*f - 5*k - 9. Solve -2*q - 18 = 5*b - b, f*q + 3*b = -21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*j**3 - 1036*j**3 - 379*j**3 - 363*j**3 + 2156*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 6*f**2 + 4*f + 3. Let m be b(5). Let u(l) = l**2 - 2*l - 1. Let s be u(m). Suppose 4*v - 5*v = -10. Solve -2*y + v = -s*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v - 15. Let z be g(-5). Suppose -6 = -h - 4*y, -4*h + y + 3 = -4*y. Suppose h*u + 2*u - z = 0. Solve 9 = n + 3*c, -2*n + u*c = -0*n + 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 554, 0.3 in ascending order.\nAnswer: 0.3, 28, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 3, 1, 0.2, -0.01 in decreasing order.\nAnswer: 3, 1, 0.2, -0.01, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -10*v - 1050. Solve 15 = 3*l, 4*p = -p + 5*l - v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 9*v**2 - 2*v + 13. Let b = -52 - -61. Calculate l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 92178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 - 18262*o**2 - 18252*o**2 - 18267*o**2 + 54781*o**2.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b08 (base 13) in base 15?\nAnswer: 5b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 39288?\nAnswer: 5\/39288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Suppose 0 = -2*n - n - 6. Let g(l) = 9*l - 17*l + 6*l. Determine n*v(u) - 3*g(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 1. Let p(o) = -2*o**3 + 10*o**2 + 9*o - 4. Let k(i) = -p(i) + s(i). Let x be k(12). Is (-10)\/(-5)*x\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/3 (b) -0.5 (c) 27 (d) 3\/4 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54948 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3. Let a(f) = -5*f**3 + 5*f**2 + 2*f + 1. Let y be 1\/((-21)\/60) + (-4)\/28. Let x(j) = y*o(j) - a(j). What is the tens digit of x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 1222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10049769 + 24758875\nAnswer: 14709106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 18. Let s be v(10). Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - 11.2. Let r = h - -14. Let b be ((-34)\/(-255))\/(4\/(-25)). What is the second biggest value in r, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21*((-65)\/(-15) - 3). Suppose -2*y = -h + 6. Is (y\/(-2))\/((-2)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/7)\/(3\/(-6)). Let q be (-3)\/9 + (-2)\/(-24). Let f = 0.492 - 0.592. Which is the nearest to f? (a) q (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22967849 equal to -22967848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 4, q: 2}. What is prob of picking 2 q and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10237330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14526?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 8, u: 2, a: 4}. What is prob of picking 1 a and 1 o?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 26*h**2 + 38*h + 74. Let d be t(-10). What is the highest common divisor of 62 and d?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 + 12\/(-48).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/10)*u*u**(-4\/3))\/(u*u*u*u\/u**(-3)*u\/u**(1\/6)))\/((u**(-1\/3))**47*u\/u**4*u*u**7) assuming u is positive.\nAnswer: u**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j. Let v(t) be the third derivative of t**4\/12 - 3*t**2. Give -6*c(s) + 17*v(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnnx when four letters picked without replacement from {n: 2, x: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 0*z**2 + 0*z**4 - 5*z**4 + (0*z**3 + 2*z**3 - 3*z**3)*(3 - 3 + 2*z) + z**4 - 3*z**4 + 0*z**4.\nAnswer: -9*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-2) + (-15)\/10. Suppose -2*i - j*z + 286 - 25 = 0, -i + 138 = -5*z. Is 41 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = -415 + 175 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9660\/(-16))\/(-35))\/(36\/(-48)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 2*i)*(-i**3 - 3*i**2 + 3*i**2) + 293*i - 293*i - 21*i**4 + (i + 2*i + 0*i)*(2*i**3 - 2*i**3 + 2*i**3).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -0.04371\nAnswer: 0.0021855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 49*h - 125. What is the remainder when d(-32) is divided by 413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*((-1383200)\/(-156))\/133?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 4289?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3253, 12870, 28849, 51190, 79893?\nAnswer: 114958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55429\/1478 + 2\/739. Find the common denominator of r and -83\/992.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44859585?\nAnswer: 3, 5, 2990639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*m - 10 - 13, 5*n + 3*m = 10. What is the tens digit of (0 + (-1)\/n)*19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137641220 divided by 5?\nAnswer: -227528244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14883513 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-1) - -5 - 2. Suppose 67 + 528 = a*c. Let g = c - 82. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38968722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 14 = 5*s, 0 = 4*j - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n. Let y(v) be the first derivative of 0*v**3 + 6*v + 0*v**2 + 3 + 1\/12*v**4. Let u(a) be the first derivative of y(a). Give o(u(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((1\/2)\/1). Let o(a) = 12*a + 22. Let d be o(-2). Sort g, d, 3 in descending order.\nAnswer: g, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 204, -0.04, 3, -11, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*2)\/sqrt(12) + -3)**2.\nAnswer: -12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9042462 litres in millilitres?\nAnswer: 904.2462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Let b = 1 - -1. Let n(a) = a**3 + 4*a**2 - 4. Let i be n(-3). Solve -i*j = r, 0 = b*f + f + 2*j - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1011 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 - (-1 - (14 - -19))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 795*s + 794*s + 13, 7*s = 5*b + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 3*p**2 - 7*p - 4. Suppose 6*b - 25 = 17. Is j(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1853*z**2 + 30*z**2 - 1870*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 707*y**2. Let g(c) = c**2. Give g(a(i)).\nAnswer: 499849*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34881 divided by -11?\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lszl when four letters picked without replacement from slslszslzlszslzlszz.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162349503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(11) - (1*sqrt(110) - sqrt(110))\/sqrt(10))) - (-1 + (sqrt(539)*-1 + sqrt(539))*2))**2.\nAnswer: 12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1260 + 1895. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 6 = -11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 1, -5 in descending order.\nAnswer: 1, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.2, -0.02 in decreasing order.\nAnswer: -0.02, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m - 6 = 0. Suppose -6*n = -5*n - 13. Suppose -3*f + 19 = n. Calculate the greatest common factor of m and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 25197?\nAnswer: -25196.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 8*t**2 - 9*t + 6. Let h be c(-9). Suppose -3*m + 2*n = -60, -4*n + 6 + h = 0. Let u be 30\/(-1)*(-18)\/27. Is u < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/68 and -65\/164.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 46*g**2 + 47*g**2 - 94*g**2. Let m(c) = -102*c**2 - 1. What is m(l(n))?\nAnswer: -102*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*a - 23 = 46. Is a > 2\/231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 416 = 5*z. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1162 + 5.8838. Let t = 0.1 - 0. Which is the closest to t? (a) q (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 13, -10, -65, -158, -295, -482, -725?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13777, -27551, -41321, -55081, -68825, -82547, -96241, -109901?\nAnswer: -123521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 57*v**2 - 3*v - 12. Suppose -12*k + 12 = -16*k. What are the prime factors of w(k)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 200 = -16*b. Let c = 74 - b. Let f be 54\/c + (-1)\/4. Solve y = -f*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14769 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -234. Let x = v + 179. Which is the nearest to 2? (a) 2 (b) x (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w**3 - 11307*w**2 - 1130*w - 274. Give f(377).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98281 and 569352?\nAnswer: 16511208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u**3 - 5*u**2 + 8*u + 96. Let m(y) = -4*y**3 + 2*y**2 - 2*y - 28. Let s(w) = 7*m(w) + 2*r(w). Suppose s(j) = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10752 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84.86 and -29.2.\nAnswer: -2477.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m. Let a(c) be the second derivative of -c**6\/360 + 79*c**4\/4 + 10*c - 10. Let i(s) be the third derivative of a(s). Give i(v(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -0*z, 2*c + 25 = -5*z. Let o = 30 + c. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 364, 365, 366, 367, 368, 369?\n\"Answer: y + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/16)\/(4\/(-16)). Let u(s) = -s**2 + 7*s. Let o be u(7). Suppose f*n - 64 + 14 = o. Calculate the remainder when 19 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1470a82 (base 12) to base 15\nAnswer: -5681a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 962, -5.\nAnswer: -5, 0, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2162826 and 5.\nAnswer: 2162831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) 0.37 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5247*c**2 - 2674*c + 1257*c + 937*c + 1293*c wrt c.\nAnswer: -10494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u\/(u\/u**26)))*u*u)*u)\/(u*u*u**(-5)\/u) assuming u is positive.\nAnswer: u**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55631 from 24.\nAnswer: 55655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 24.8. Which is the second biggest value? (a) r (b) -5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-9))\/(-14 + (-8555)\/(-609))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 286598162 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-7163)\/26))\/((-2144)\/152).\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236819 is divided by 236811.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4 - 24*q**2 + 19*q**2 + 4. Let s(x) = -x**2 + x**2 + x**2. Give l(s(a)).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x*x\/x**(-4\/3))\/((x\/(x**(2\/9)*x))\/x**(-1\/9))*(x**(-3\/2)*x)\/(x**(1\/6)\/x)*x*x**(2\/13)\/x*x*x*x*x*x**(1\/4) assuming x is positive.\nAnswer: x**(7105\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.906 - 0.094. Let y = l - -52. Let h be (-10)\/(-45) + 25\/(-72). Sort y, h, -4 in ascending order.\nAnswer: -4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1823 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 12*x - 6. Let r be g(5). Let b = r + -41. Let o be (-4)\/b - (-4)\/(-6). Is -1\/3 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7845 + -1969. List the prime factors of h.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 131*n + n**4 + 3 + 128*n)*(-1 + 0 - 2).\nAnswer: -3*n**4 + 9*n - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2070, 4147, 6224, 8301, 10378, 12455?\nAnswer: 14532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 15. Let z(v) = 2*v - 18. Let m(y) = -6*b(y) + 5*z(y). Let a(w) be the third derivative of -w**5\/10 - w**2. Give m(a(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-3))\/(-1) - (49 - 46)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -61199, 4, 0, -6 in descending order.\nAnswer: 4, 0, -2, -6, -61199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/36*3\/3*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -419, -674, -929?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653.\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 3*t**4\/4 + t - 56. Let y(k) be the first derivative of -k**4 - k + 1. What is -6*i(c) - 5*y(c)?\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -63.7. Let x be 3\/(-2 - (1 + -2)). Let w = x + 1. Is s <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5019 divide 999644268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -952, -1898, -2844, -3790?\n\"Answer: -946*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 13. Let g = a - 5. What is the closest to 0 in g, 1\/9, -0.2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570) - -4*sqrt(570)*-2)\/(sqrt(40)\/sqrt(4)*-1))\/((sqrt(3) - (sqrt(3) + (sqrt(27) - 2*sqrt(27)))) + 3*sqrt(108) + sqrt(3)).\nAnswer: 7*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191.742 + -192. Round k to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247310275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/(-24))\/(-7)*(-6)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 21*k + 6. Let s be v(5). Suppose s*f - 35 = 6*f. What is the smallest common multiple of -1*((2 - 1) + -8) and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -71, -1, -2, 7 in ascending order.\nAnswer: -71, -6, -2, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*l**2 + 81186*l**2 + 105414*l**2 + 27352*l**2 - 29820*l**2.\nAnswer: 183498*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 610017.6 millilitres?\nAnswer: 610.0176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f = -117*f + 31*f + 35*f + 4050 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-10\/3)\/v*v)\/v)\/v**(-11))**(-15)\/((v\/v**(-1\/4))**27\/(v*v\/(v\/v**7)*v**1)) assuming v is positive.\nAnswer: v**(-499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 66072.\nAnswer: 66072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19159072.\nAnswer: 2, 598721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3540261959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146411 or 146384?\nAnswer: 146411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:57 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1 - 0) + 2)*1. Let p be (0 + 1)\/(0 + c). Let w = -446\/3 + 150. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 k, and 1 j when four letters picked without replacement from {x: 1, k: 6, j: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130472535*r**4 - 984*r**2 - 38265.\nAnswer: 3131340840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)*-3*-1. Let o be 1 + -2 - m*-1. Let d(v) = 4951*v**2 - 9902*v + 3. Let r be d(2). Put r, -2, o, -5 in decreasing order.\nAnswer: r, o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose -2*q = y - 4, -2*y - 9 = -2*q + 1. Sort k, 0, q in decreasing order.\nAnswer: k, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20.437 and -42654533?\nAnswer: 42654553.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d**2 - 5*d - 1. Let g(n) = -3159*n**2 - 24*n - 5. Determine -g(k) + 5*j(k).\nAnswer: 3229*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15134)\/(-182) + (-4)\/26?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/120 - 2*g**5\/15 + g**4\/3 + 3*g**3 + 4*g**2 + 225. Calculate z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o - 176. Suppose -102 = 32*k + 32 + 26. Let r(t) = -2*t - 59. Calculate k*u(s) + 14*r(s).\nAnswer: 2*s + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -v + 5, -v = -4*x + 2*x - 5. Let c = -7\/4 - -2. What is the closest to 2\/7 in c, v, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/6 + 1\/3. Let s(f) = f**2 - 7*f + 6. Let y be s(7). Suppose -y + 11 = r. Solve 0 = r*t - 3*w - 16, w - 2 = -d*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(4\/(-5)) - 0. Let u = 15 + n. Solve -4*g + u = -0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0333 - -0.032. What is w rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -15*z + 13*z + 74196, 59358 = -4*s + z. What is s rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -7*y**2\/2 - 31*y + 6. Let r be j(-9). What is the highest common factor of r and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 42. Let l = y + -19.7. Which is the third smallest value? (a) l (b) 14 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*w = -22, -5*z + 21 + 5 = w. Let s = 17 - z. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**5 - g**3 + (2 + g**5 - 2)*(-5 + 2 + 1) + 1 - 1 - 2*g**3 - 2*g**5)*(0 - 3 + 5).\nAnswer: -12*g**5 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 - 25*f**3 - 15*f**3 - 25*f**3 + 88*f**3 - 23*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 3:17 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -953, -2156, -3359, -4562?\nAnswer: -5765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 10*m = -44010057. Suppose -52292213 = 5*o + 104758072. Let p = o - m. What is p rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1052993\nAnswer: -2105986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 + 2*q**4 - 2*q**4)*(-4 + 2 + 0) + (0*q**3 - 4*q**3 + 3*q**3)*(78 + 27*q**2 - 78).\nAnswer: -23*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (47 + -5 - 65)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 10*u = -8*u, r = -2*u + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380385.\nAnswer: 5, 7, 23, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 32*q - 66. Let p(i) = -65*i + 134. Let d(z) = z**3 - 9*z**2 + z - 7. Let h be d(9). Let x(y) = h*p(y) + 5*k(y). Differentiate x(a) with respect to a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261498009?\nAnswer: 19, 709, 167879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3*(-102)\/(-68)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6*(-6)\/198)\/((-13)\/(-429)) - -283261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-2))\/2 + 84. Let i = j - 108. Suppose 3*r = 13 - 88. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.62083, -4, 1 in ascending order.\nAnswer: -4, 0.62083, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) 4 (c) -0.9 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - s)*(-3 - 3 + 0)*(9*s + 4*s - 10*s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.354596 * 0.2.\nAnswer: -0.0709192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -5 + (sqrt(57)\/sqrt(3) - sqrt(19)) + ((-2*sqrt(228))\/sqrt(12) - (-2 + (sqrt(19) - (sqrt(76))**2 - sqrt(19)))) + -5).\nAnswer: -10*sqrt(19) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0 = 18. Let i = -3775 + 3775. Solve 3*b - 2*p = -4*p - 13, b + p + m = i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f - f - 1 + 2. Let x be c(-1). Put x, -3, 1 in decreasing order.\nAnswer: x, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 39*x**3 - 7*x**2 + 8. Let a(h) = -h**3 + h**2 - 1. Calculate 6*a(j) + q(j).\nAnswer: 33*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 17 - (-1 + -1) - (51 + -52).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 184.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-39)*((-42)\/(-280))\/(3\/4).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/5 - 30298*d\/5 + 90912\/5 = 0.\nAnswer: -15152, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 115 = -3. Suppose r = n - 2*a - 2*a, 0 = -n - 5*a + 10. Calculate the least common multiple of 18 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*p - 5 = p, 0 = -p - 1. Suppose m = 4*t + 6 - 118. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37910 = -12*n - 38054 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + l - 2. Let m be y(3). Let t = m - -12. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 take away 61420645104?\nAnswer: -61420645338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + -2 + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60749.7 millimeters to nanometers.\nAnswer: 60749700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7 - 38*g**4 + 2 + 40*g**4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - y - 4. Let d(w) = 6*w**2 + w + 7. Suppose -4*f + 2*k + k + 16 = 0, -k = -5*f + 20. Let b(r) = f*d(r) + 7*t(r). Factor b(c).\nAnswer: 3*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)*k*k)\/(k*k**(2\/5))*(k\/k**(1\/2))**(-3\/34) assuming k is positive.\nAnswer: k**(393\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 3, b: 2, a: 3, i: 2, m: 2}. Give prob of sequence ba.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - 4*h, 2*d = 3*h + 9 - 11. Solve -3*u + d*u = 4*y - 4, 4*y - 3*u + 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/18 and 277\/330 - ((-561)\/(-85))\/(-11).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58178*l*p**2 + p**2 + 2640*p + 3 wrt l?\nAnswer: -58178*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.88 - 172. Round x to one decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 91\/2 of a decade?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 - f**2 - 3*f + 1. Let p(b) = -7*b**3 + b**2 + 3*b - 1. Let k(o) = 6*n(o) + 5*p(o). Does 9 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -39. Let z = 2 - 2.4. Let n(r) = -r**2 - r - 1. Let k be n(-1). What is the nearest to l in 2\/15, z, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, i: 5, j: 2}. What is prob of sequence itj?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 + 177. Sort -0.2, -1\/2, h, 0.04.\nAnswer: -1\/2, -0.2, 0.04, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282307111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 16. Let x be t(4). What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 170 = 345. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/26)\/d**(-2\/15)*(d**(3\/2)*d**(1\/4))\/(d\/d**0*d*(d\/(d\/(d*(d\/(d*d**(-1\/4)))\/d)))\/d*d) assuming d is positive.\nAnswer: d**(-64\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(1368\/16) + (-189312)\/(-1797742). Let p = f + -2223783\/6150170. What is the common denominator of p and -87\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.2 (c) 3\/2 (d) -7 (e) -5 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3613*o + 263382 = -148500 for o.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -864?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 4\/65, -3, 5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4063\/4 - 1016. Let h = 160 - 803\/5. What is the smallest value in 1\/4, -2\/11, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10394201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -1 (b) 4\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19461 + -19013. What is the remainder when v is divided by 445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-32))\/(59\/(-236))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 + -4 + 6. Suppose c - n + 3 = 0, -2*n = -3*c - x*n - 8. Suppose 5 = 2*q - q. Sort q, 7, c in descending order.\nAnswer: 7, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -72*i - 26. Let o(n) = 83*n + 25. Give 3*o(s) + 4*p(s).\nAnswer: -39*s - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15458 - 4?\nAnswer: -1545c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 131, 110, 85, 56, 23?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 76. Let b = 34 + p. What is the greatest common divisor of 32 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l - 96. Let h = l - 18. What is the lowest common multiple of (-1 + -6 + 3 - 50\/(-15))*-36 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/4740 and -119\/240.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -61, -253, -579, -1045, -1657, -2421, -3343, -4429?\n\"Answer: -s**3 - 61*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyr when three letters picked without replacement from {y: 3, e: 3, r: 3, w: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093, -2061, -3069, -4129, -5253, -6453, -7741?\nAnswer: -9129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5429*a - 5430*a + 28 + 10874*a - 28.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11001607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Suppose a = -4*w - 0*w + 4, -2*r + 1 = -3*w. Suppose 0 = 2*m - k - 10, 2*m + r*k = 7*k + 2. Solve m = -4*g - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 6.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from jjjjjpzjjhphzjjp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71617187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30030230103301 + 3?\nAnswer: -30030230103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 646, 646, 654, 676, 718?\n\"Answer: h**3 - 2*h**2 - h + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 4*i + 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/29 and -18.47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 8538886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132353 by -4.\nAnswer: -132353\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojtjrnejjtororr. What is prob of sequence nor?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -1\/6, 233.8, -17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -546*u + 546*u + 30*u**2 - 487 + 6*u**4 + 4*u**2 with respect to u.\nAnswer: 24*u**3 + 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14868.59 + -15112. Round t to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1815*c**2 + 88*c - 16.\nAnswer: -3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - -230157?\nAnswer: 230085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/14*70\/(-20). Suppose 0 = r*c + 4*q - 150 - 100, 0 = 5*c + 4*q - 607. List the prime factors of c.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 992 and 22537?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - n + 11. Let s(i) = -5*i**2 + 2*i - 23. Let t(w) = 7*h(w) + 3*s(w). Let m be t(0). Solve -2*g + 4*g - m = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -87.54. Let f = 1.925 - 0.195. Let q = s - f. Round q to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -118.\nAnswer: 5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52816530, 52816525, 52816520, 52816515, 52816510, 52816505?\nAnswer: 52816500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*((c + 1 - 1)*(160 + 282 - 37) + (-6*c + 4*c + 3*c)*(-3 + 0 + 2)).\nAnswer: 404*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -302*q**2 + 5 - q + 3*q + 144*q**2 + 157*q**2 - 189*q**3 to h + k*q**2 + s*q + c*q**3 and give c.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 22254 = -g, -5*g + 2694 = -2*o + 24916. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/1056 + 17022\/396\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 4*k**2 - 2*k + 7. What is m(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - 3*f. Suppose 3*o + 30 = 6*o. Suppose 2*v = 2*n + o, -2*v + 3*v + n = -1. Calculate r(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/15 + 199864*k**2\/15 + 331087520*k - 89691024000 = 0?\nAnswer: -50100, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -60*q**2 - q. Let l be z(1). Let j = 83 + 21. Let f = l + j. Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -29.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780995 and 2945?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342 divided by -342.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 69. Let r be z(11). Solve -2*p - 14 = -r*x, 5*x + 3*p - 2 = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*z**2 + 42*z**2 + 12*z**2.\nAnswer: 104*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 26, 86, 202, 392, 674?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x + l - 2*l, -l = 4*x - 9. Suppose -x*n - 152 + 2 = 0. What is the common denominator of 23\/4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h + 20. Solve 4*w = 5*a + 26, 0*w - 3*w + h = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l + 144. Calculate the lowest common multiple of i(-12) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2998*w**3 - 2998*w**3 + 7*w + 24*w**5 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-17 + -3 + 9)) + 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*b**3 - 240*b**3 + 6806*b - 6*b**2 - 4 - 6804*b to c*b**2 + k + d*b**3 + i*b and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.7, 2\/3, 2844?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 56 = -49. Which is smaller: 2\/423 or b?\nAnswer: 2\/423","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328 = 309*b + 1853 + 3492 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095786 rounded to the nearest one thousand?\nAnswer: 3096000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -23. Let z = 10 + q. Let w(s) = -5*s**3 + 6*s - 1 + 7*s + 4*s**z - 6*s**2 - 7*s. What is w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a minute in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2*f + 3*f)*(-2*f**3 + 0*f**3 - f**3)*(0*f + f - 3*f).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 147. Let i(w) = -2*w**2 - 4179. What is i(y(k))?\nAnswer: -8*k**4 - 1176*k**2 - 47397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4102 (base 5) to base 13\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 96. Suppose 1272 = i*w + w. What is the highest common factor of 53 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:44 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgknngnggkg. What is prob of sequence ng?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k. Let q be u(-2). Let s(h) = 1. Let c(w) = -w + 4. Let j(a) = -c(a) + 3*s(a). Calculate j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196 - 48 - (-103 + 196).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/70)\/((-1)\/(20\/(-15))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + (-6)\/9. Suppose -2*h + 0 = -4. Suppose p*f + h*f + 202 = 0. What is f rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*h**3 + 6*h**2 + 43*h + 87*h - 128*h)*(7*h**2 - h**2 - 4*h**2) + (-h**2 + 2*h**2 - 3*h**2)*(-h**3 - 3*h**3 + 2*h**3).\nAnswer: -112*h**5 + 12*h**4 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/6)\/((-6)\/56).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62\/173 - 656\/865. What is the fourth smallest value in u, -4, 0.3, 0.9, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324\/(-30)*50*(-5)\/15 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:43 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 112.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:01 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from anaappannlaallaan?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 16291*f + 3993696\/5.\nAnswer: -(f - 81504)*(f + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/2)*j*j)**(-31)\/(j\/(j\/(j*j**20))*j**(4\/11)) assuming j is positive.\nAnswer: j**(-811\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 6*g**2 + 0 - g + 2*g**4 - 5*g**2 + 9*g**2 + 1 as r + k*g**4 + m*g + b*g**3 + h*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 9*x**3 - x**3 + 4*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, i: 1, s: 1, n: 4}. Give prob of picking 1 n, 1 i, and 1 s.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 20 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*z + 150*z - 14 = 2*b, -z - 3*b = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12565504 and 1408.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 2*c**3 + 4*c**3)*(-26*c + 2 + 2 + 25*c).\nAnswer: -c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172*o*z**5 + 2*o*z**4 - 154*o + z wrt z?\nAnswer: -3440*o*z**3 + 24*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = -5*y, -3*y + 3*l - 12 = 6*l. Suppose y = -v + 24 - 7. Suppose 4*c - 3 = v. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -450.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-52)\/(-4) + -6 + 11. Let z be 81\/15 - 2\/5. Suppose 0 = -z*m + 4*w + 14, -m = 2*m + 2*w - 26. What is the greatest common factor of d and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*z + 2*z**4 - 2 + 2 + 10*z wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2533*q**2 + 6*q - 9. Let r be b(3). Let n = r + 32531. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1704 + 15*c - 723 - 448.\nAnswer: 15*c - 2875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 67?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 27, 29 in decreasing order.\nAnswer: 29, 27, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d. Let j = -21 - -26. Suppose -t = j*t + 2*t. Let o be m(t). Which is the smallest value? (a) o (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2))\/(-1 - -3). Let i be (p - (-1)\/1) + 0. Let b(o) = -2*o - 3. Let x(a) = 11*a + 17. Let t(f) = -6*b(f) - x(f). Calculate t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/23, -2\/97, -1, 1\/10 in descending order.\nAnswer: 1\/10, 2\/23, -2\/97, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1847, -1326, -459, 754, 2313, 4218, 6469?\nAnswer: 9066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -17 - 0 - -13 - (13 - (2 - 7))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrolnllncllrrrvr. What is prob of picking 2 n and 2 r?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = -g + 29*q + 600, 5*g - 2974 = -3*q. Suppose 0 = 5*c - 701 + g. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -993, -1984, -2975?\nAnswer: -3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((((n*n\/(n\/(n*n\/n**7*n)))\/n)\/n)\/n))\/n*n\/n**(-2\/7)*n**(1\/3)\/n**(-2\/3) assuming n is positive.\nAnswer: n**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13353719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17446309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21030*w**3 - 18*w**2 - 47*w + 375. Let h be x(-19). What is h rounded to the nearest 1000000?\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + -1848.\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/5)\/(j*j*j**(-5)\/j)*j**(-7)*j*j**(-2\/5)*j assuming j is positive.\nAnswer: j**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.354581ng to tonnes.\nAnswer: 0.000000000000005354581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d**(-1\/9))**(-7\/3) assuming d is positive.\nAnswer: d**(-91\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 7*b + 5*j - 12 = 4*b + 58, -54 = 5*b - 9*j for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -12 + 6. Let b be 5 - (-1 - 2\/(-2)). Solve b*d + t*a = -19, -4*a = 5*d - 0*a + 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*x + 3. Let h be x\/(-6) + 32\/(-36). Let v = -24 - -19. Which is the nearest to h? (a) -3\/2 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/(-55) + -2 + (-14328)\/(-33). Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.74 + 0.7425. What is u rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 14*j = 6*j + 5*j - 19, -15 = 3*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -211*k. Let b(x) = -4*x. What is b(q(j))?\nAnswer: 844*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 98 + 157 + 283.\nAnswer: 2*y + 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, 37, -1, -3, 3.\nAnswer: -3, -1, 3, 4, 15, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -183333*d**5\/20 - d**4\/12 + d**3\/6 + 7*d**2. Let z be a(1). What is z rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 2*g - 1. Let t(r) = -1045*r**2 - 10*r + 5. What is 5*i(d) + t(d)?\nAnswer: -1050*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2217 - -3218. Let j = -607 + n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-16))\/((-2394)\/(-1196) + -2). Let v = x + -445. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3973 = 8*j + 29. What are the prime factors of j?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g + 2*f = 1, -4*f = 2*g + 10. Find the common denominator of ((-6)\/(-9))\/(28\/183) and 26\/(-132) + 1\/g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*f - 32 + 0*f.\nAnswer: 2*f - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0533148 minutes?\nAnswer: 3.198888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.838003 rounded to 3 decimal places?\nAnswer: -3.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/12 + (-1)\/6. Which is the closest to t? (a) 0.4 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.64 - -0.6. Suppose -2*m + 8 = 0, -4*z - 279 + 287 = 3*m. Which is the nearest to z? (a) 3 (b) f (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12238511 to the nearest integer?\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 237. Let s = a + -73. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11*n**2 - 223*n - 243. Let l be i(-20). Which is bigger: -173 or l?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*f - 96 = 615 + 549 - 138 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.35 plus 24543457.557?\nAnswer: 24543458.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21262 or -783?\nAnswer: -21262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1147947967 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n - 3. Let x be v(-4). Suppose 3*j = -5*z + 31, -2*j + j + z = -x. Solve t - y + j = 0, 0 = 2*y + y - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4312.9 + -4051. Let x = v + -249. Round x to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192 + 3646\/19. What is the smallest value in 2\/19, s, 0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/1)\/(5\/(-3*(-35)\/126)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**2 + 3*v. Let b(j) = 3*j - 13*j - 27*j**2 + 11*j**2 + 4*j + 2*j. What is 5*b(w) + 7*d(w)?\nAnswer: -3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20481190 is divided by 104.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 8. Suppose 0 = -v + 2, 4*y - 5 = -5*v - 35. Let k be w(y). What is the third smallest value in -0.3, k, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {v: 10, n: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2739809 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119 and 4.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.1 + 4. Put -0.3, j, 3 in decreasing order.\nAnswer: 3, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x + 5*b + 31 = 25*x, -4*x - 3*b = -14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 527.4 - -124.6. Sort n, -4, 4 in increasing order.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*p = -16, -3*p + 9 = -0*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**2 - 3*u + 6. Let b be a(-5). Let o = -55 - b. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 303, 607, 911, 1215, 1519, 1823?\n\"Answer: 304*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310 + 348. Find the third derivative of h**2 + 6*h**3 - 2*h**3 + 79*h**2 - 2*h**3 - s*h**5 wrt h.\nAnswer: -2280*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-5)\/(-2))\/((-3)\/(-2406)). Let r = y - 395. Put r, 5, 0 in ascending order.\nAnswer: 0, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a2415 + -25b?\nAnswer: -2a2673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3924 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/11 + 508*g**3\/11 + 24362*g**2\/11 - 1002792*g\/11 + 7793352\/11.\nAnswer: 2*(g - 14)**2*(g + 141)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 6102 - 11878 + 56*b + 6108. Determine s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*q - 3*v, 2*q + 2 - 42 = 4*v. Let f = -12 + q. Differentiate -7*k**3 - 11 + f - 4 with respect to k.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Let n(p) = 5*p**3 + 9*p**2 - 4*p + 2. Let z(l) = 3*l**3 + 7*l**2 - 3*l + 2. Let i(c) = -2*n(c) + 3*z(c). Determine i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:49 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278154095 to the power of 1\/3, to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:09 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15680 divided by -5.\nAnswer: -3136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 4 - 5 + 11. Let p be b(-9). Which is smaller: p or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639 and 2780692848?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/5*(-10)\/4. Let a(m) = 4*m - 3 + m**2 + 0 - 4 + 0*m**b. Give a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, -0.4, 2, 7, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/600)\/(2\/4) - 42\/90?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 11*n - 160. What is the greatest common divisor of 10 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 - 102490.02535243\nAnswer: -102490.14535243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 433951 (b) 0 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a factor of 20130073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -29880 <= -29881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 153?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = -3*q, -14516*q = -14514*q + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*2\/4*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 76*u + 54*u**2 - 39*u.\nAnswer: 54*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-2\/29)))\/r*((r**(2\/39)*r)\/r)\/r*r*r assuming r is positive.\nAnswer: r**(136\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2101 is divided by 688?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**3 + 3*o**2 - 15*o + 15. Let r(k) = -3*k**3 - k**2 + 7*k - 7. Let u(j) = -4*d(j) - 9*r(j). Let u(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30151.36 days in minutes?\nAnswer: 43417958.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + 155 + -128 + (-73 - 0)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/((-2)\/9). Let j = n - 9. Is 6 a factor of (-58)\/j + (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 100, 3, 7, 103 in descending order.\nAnswer: 103, 100, 7, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -0.4.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-910)\/27300)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93885720 rounded to the nearest 1000000?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*c = -x + 103, 5*c + 135 = 5*x. Suppose 4*o = -3*z + 159 + x, 3*o + z - 137 = 0. Calculate the remainder when o is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-12*j - 13*j**2 + 12*j) + 2*j**2 + 5 - 5.\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-18)\/12*(-128)\/(-78). Let t be ((-14)\/26 - 1)\/14. Let z = l + t. Which is the closest to 0? (a) z (b) -0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -5, 0.5, -4, -3, -94.42?\nAnswer: -94.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 11059526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 59 - 29 - 15 as b*h + m + l*h**2 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (96\/24)\/(3\/(6 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*s - 3*s - 1794 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twwld. What is prob of sequence wlwd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t**3 - t**2 - 3*t - 1. Let o be f(-1). Suppose -q = 2*q - 3*g - 12, g = -5*q + o. Factor q*x - 7*x**2 + 4*x**2 + 3*x + 3*x.\nAnswer: -3*x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -277663 + 1110699\/4. Factor 1\/4*v**4 + 0 - c*v**2 + 6*v + 11\/2*v**3.\nAnswer: v*(v - 1)**2*(v + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 217*y**2 - 7752*y - 2122. What is p(-172)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*h + 1308 = -15*h + 480. Let x(k) = -2*k**2 + 19*k - 9. Determine x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -2\/15*p**5 + 0*p**4 - 6*p**2 + 0*p**6 + 2\/35*p**7 + 0*p + 0 + 0*p**3. What is the third derivative of g(f) wrt f?\nAnswer: 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 5, 2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*k**6 + 268*k**2 wrt k?\nAnswer: 20280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 34*q**2 - 443*q + 890. Suppose -4*b - 57 = -289. Calculate the remainder when j(2) is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 5*a = -10, -6 = 4*w + 3*a. Solve -2*h + n + 0 = -4, -4*h - 4*n + 8 = w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 12*a**2 - 13*a + 5. Let t be o(-13). Suppose t*g + 1 = 66. Solve h = 4*m - g, 2*h + 3*h + 5 = 5*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 9*p**2 + p - 11. What is the units digit of a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29659.05001 to the nearest 100.\nAnswer: -29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a67 (base 11) to base 4.\nAnswer: 110003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55920691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01696252 to 5 dps.\nAnswer: -0.01696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxowr. What is prob of sequence ow?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z - 17248 = -102*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 15*u - 20*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2694 - 2699. Let x = -61\/6 - -439\/42. Which is the smallest value? (a) x (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63011 + 63010.7. Let y be (-14)\/(-2) + -1 + -1. What is the fourth biggest value in -10, h, -1\/6, y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125698397 to the power of 1\/2, to the nearest integer?\nAnswer: 11212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-21 - -18 - 19 - -93) + 2 + 7?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187350985\/4557834 + 1\/239886. Let g = -41 - h. Let s(j) = -2*j - 1. Let n be s(-1). Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/4)\/((v**(-4\/3)\/v*v)\/v*v)*v*v**(-3\/5)*v**(-2\/7)\/v)**(-28))**20 assuming v is positive.\nAnswer: v**(-2852\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -150 + 140. Suppose u*k - 143 + 101 = 0. Solve -4*o + 2*f = 18, 3*f - k = -2*o - 2*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -22 - 316*l + 250*l + 103. Let y be f(3). Which is bigger: y or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 8. Let l be (2\/(-3))\/(4\/p). Is (l\/2)\/((-42)\/112) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2527? (a) 0.215 (b) -0.4 (c) -4 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-6)*(-3)\/(-2). Calculate the least common multiple of 2 and (2\/h)\/((-6)\/192).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 + 65*o**2 - 24845*o - 754985 = 0.\nAnswer: -53, -37, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 1.0821454.\nAnswer: 4.0821454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) -0.071 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/(c*c**(-1\/5)*c))))**(-45) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2252 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:31 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.031? (a) -3 (b) -5 (c) -0.1 (d) 3\/4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28070*x**3 - 12*x - 12763. Let m(s) = -39298*s**3 + 17*s + 17868. Let d(u) = -12*m(u) - 17*n(u). What is the first derivative of d(c) wrt c?\nAnswer: -16842*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1075*z**3 + 714 wrt z.\nAnswer: -3225*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 59*l - 228 = 0. Calculate the smallest common multiple of l and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(3\/13)*b*b)\/b)\/(b*b**(-41)))\/(b**6*b*b\/b**(4\/7)))**7 assuming b is positive.\nAnswer: b**(3076\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 5, f: 3}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 - 167746*l\/3 + 838780\/3.\nAnswer: -2*(l - 5)*(l + 83878)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and -14 - -11 - (1 - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*a**3 + 156*a**2 - a wrt a?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 237184.049 to the nearest 100.\nAnswer: 237200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12033, 24059, 36085?\nAnswer: 48111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {a: 3, i: 4, e: 1, z: 5, d: 3, u: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309 - -316. Solve 3*v - s*v = -3*n + 16, -3*n + 5*v = -17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54263*n**5*r - 19*n**4*r**2 - 1394*n**2*r + 35*n*r**2 wrt n?\nAnswer: -3255780*n**2*r - 456*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7941440 and 666770?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 67 + 259*k - 86 - 259*k. Let x(t) = -t**2. What is x(z(o))?\nAnswer: -4*o**4 - 612*o**2 - 23409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) - (1*sqrt(3000) - sqrt(3000)))\/(sqrt(150)*-3).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17443 = -16*t - 4403. What is the remainder when t is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56185 by -11237.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:58 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -9 - -3) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 32 + 0)*(n + 8*n - 2*n).\nAnswer: -280*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*i + 2 = 0, 3*q - i + 550 = 536 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - 6*w)*(1273*w + 1919*w - 1148*w).\nAnswer: -6132*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 321527952?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 131. Let f(n) = n**2 - 6*n - 6. Let u be f(7). Suppose -5*h - 2*m + 6 = 0, 0 = -h - 5*m + 16 - u. Is 33 a factor of r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8)\/12)\/(-3 + (-2572)\/(-858))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/3 - 772*z**2 + 1546*z - 2320\/3 = 0. What is z?\nAnswer: -1160, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 184*k**2 - 6 - 175*k**2 + 7. Let v(u) = -4*u + 5*u - 2*u. Calculate v(g(q)).\nAnswer: -9*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)\/((u\/(u*u**(-1\/6)))\/u*u))\/(u*u\/u**(1\/4))**(-16) assuming u is positive.\nAnswer: u**(839\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 2, h: 1, v: 3}. Give prob of picking 1 l, 2 v, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) -1.94 (c) 2\/5 (d) -20.9 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 620 + -242. Suppose -247 = -5*u + s. Suppose -8*i - u = -13*i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-60)*(-4935)\/1974?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.058 - 2.242. Let v = f - -1.9. Sort -1, -4\/5, v.\nAnswer: -1, -4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1180*l - 1160*l. What is the nearest to 4 in -2, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 623 and 445.\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let o(w) be the third derivative of 31*w**5\/30 + w**4\/4 + w**3\/2 - w**2 - 2257. Give d(o(s)).\nAnswer: 62*s**2 + 6*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(45) + sqrt(45)*-2 + 3)**2 - (sqrt(270) + sqrt(270) + 2*sqrt(270))\/sqrt(6)) - (sqrt(605)*2 + sqrt(605) + -1 + sqrt(605) + 4)**2*2.\nAnswer: -19322 - 558*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let w be b(3). Let l = -1\/571 + -17694\/3997. Calculate the common denominator of l and (-210)\/(-234) + 1\/w.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320 divided by -455.\nAnswer: -264\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*c + 1557 + 17*c + 49*c + 25*c to the form u*c + x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2615 or 2614?\nAnswer: 2614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 613963951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125499 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 0, 12*k = 7*k + 2*o + 11. Suppose 192 = k*r - 4*h, 4*r - 2*h = -7*h + 256. What is the smallest common multiple of 80 and r?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 + 0*r**2 - 4*r**2)*(-2 + 2 + 3*r) + 33*r**3 + 44*r**3 - 9*r**3.\nAnswer: 71*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*b - 21 = 0, 6*b - 5 = -3*z + 8*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/3160)\/((-4290)\/(-3120)).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(3\/20)\/b*b)*((b\/(b**6\/b))\/b)\/b)**37 assuming b is positive.\nAnswer: b**(-4551\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14295 divided by -5\nAnswer: 2859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026121 to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n + 2. Let w be g(0). Suppose 0 = 2*c + 4*k + 10, 2*c = -w*k - 5 - 1. Let r(t) = -t**3. Let i(a) = -5*a**3. Give c*i(b) + 6*r(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 871 + -6?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Suppose 2*r = r - 2, v*w - r = 162. What is the remainder when w is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011100001 - -1110100001110110?\nAnswer: 10001011101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1878 - -1886. Let f(k) be the third derivative of -d*k**2 - 5\/3*k**3 + 1\/3*k**4 + 0*k + 0. What is the first derivative of f(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 4*d - 6. Suppose -8 = -2*h + 6. Suppose 0 = k + 1 - h. Let v(f) = f - 1. Let s be v(k). Calculate c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534875 is divided by 40236.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 + -103. Calculate the greatest common factor of b and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401703631 + 203*u - 401703631.\nAnswer: 203*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 5 + 4 + 4 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**4 + 704*r**3 - 24354*r**2 - 30104*r - 5041 = 0. What is r?\nAnswer: -1, -1\/5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7209, 7219, 7227, 7227, 7213, 7179, 7119, 7027?\n\"Answer: -q**3 + 5*q**2 + 2*q + 7203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 18*k**2. Let y(a) = -5*a - 43. Give f(y(d)).\nAnswer: 450*d**2 + 7740*d + 33282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Suppose w + 5 = 0, s*z + 5*w + 11 = z. What is the highest common factor of z and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 4. Let h = -560 + 558. Let l(p) = 10*p - 19. Determine h*l(u) + 11*x(u).\nAnswer: 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 22 + 7 - 4510*j + 3.\nAnswer: -4510*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554681.1 millimeters to meters.\nAnswer: 554.6811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 848 + -847. Let q = 11.3 + -11. What is the smallest value in q, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k. Let s(m) = -1520*m. Let w(c) = 11*c. Let g(u) = 3*s(u) + 408*w(u). Determine g(h(b)).\nAnswer: -288*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**5\/5 - 3*a**4 - 22*a**3\/3 + 42*a**2 - 49*a + 23. Let s(w) = 0. Calculate w.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-3 - -4) + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 + 986*g**2 + 7*g - 14. Let s(d) = -6*d**3 + 986*d**2 + 8*d - 16. Give -7*s(q) + 8*x(q).\nAnswer: 2*q**3 + 986*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14*k. Let s(a) = 1 + 3 - 4 - 5*a. What is b(s(v))?\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7832*v - 1928*v - 8000*v + 1278*v.\nAnswer: -16482*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a**(-1\/3)*a)\/a)\/a)**(-5\/3))**(27\/4) assuming a is positive.\nAnswer: a**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (20 - (14 + 0)) + (-9 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 7. Suppose n*r + x = -4*x + 22, -2*r - x + 3 = 0. Let u = -2 - r. Let h(t) = 6*t**3 + t**2 - t - 1. Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*i - 11, -i = -2*m + 7*m + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(1 + (-4)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (3 + 9)\/(-2). Let l = 1\/974 + -244\/487. Which is the third smallest value? (a) t (b) l (c) -3\/26 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10224 from 1020.\nAnswer: -9204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1 + 410\/(-409)). Let p = i - 286. Suppose f - 1168 = -21*f - 706. What is the remainder when p is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/377456 and 55\/85232.\nAnswer: 2642192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1004?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32557 divided by -14\nAnswer: 4651\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -293*j**2*r - 14054673*j**2 + 12038*j*r + r wrt r.\nAnswer: -293*j**2 + 12038*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 1.1. Let j = 65 + -65.1. Which is the closest to j? (a) 4 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*y - 19, -5*y = -m - y + 16. Suppose 5*u - u + m*w - 28 = 0, 5*u - 27 = 3*w. Let s = u - -3. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 15) to base 11\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2364 in 0, 2\/5, -3, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 6) to base 3.\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1018*k**4 + k**3 + 947*k wrt k.\nAnswer: -12216*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-52)\/8*-1. Let m = -11 + g. Solve m = -3*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5186 and 128776159?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 13\/24*w**4 + 7*w**2 - 3 - 1\/15*w**5 - 1\/3*w**3 + 0*w. Find the second derivative of a(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 5\/12*k**4 - 5*k - 5*k**3 + 1\/4*k**5 + 0*k**2 - 17. Let m(b) = 0. What is b?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 7*n**2 + 3*n**2)*(-n + 2 - 2 + (-2 + 3 - 3)*(-5*n + 3*n + 4*n) - n + 2*n - 3*n).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10267a (base 12) to base 8\nAnswer: -756476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 6. Let r(c) = -3 + 4*c**t + 7 - 12*c**3 + 1 + 3*c + 8*c**3. Let q(h) = -3*h**3 + 3*h**2 + 2*h + 4. Determine 5*q(f) - 4*r(f).\nAnswer: f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 27*n - 192. Let j be x(7). Let t be 10\/15 - 55\/(-3). Which is the fourth smallest value? (a) -1 (b) t (c) 4\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {x: 1, d: 15}.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -153544?\nAnswer: 153540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2655 - 2572. Calculate the remainder when r is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 39*w - 10*w)*((2*w + 1 - 1)*(-2*w + 2*w + 2*w) + 5*w**2 - 3*w**2 - 3*w**2).\nAnswer: -156*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*i + 94. Solve -45 = -6*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j - 13. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:00 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1162299?\nAnswer: 4\/1162299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20)*1)\/(14\/(-105))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 240.3?\nAnswer: 240.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2757 + -2757. Let l(y) be the third derivative of -2\/3*y**3 + q - 1\/4*y**4 + 2\/5*y**5 + 0*y - 7\/60*y**6 - 12*y**2. What is o in l(o) = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 19*c**2 - 93*c - 7. Let m be z(5). Solve -m*o + 8*o - 4*l = -6, 2*o + 8 = 3*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - x)*(834*x + 988*x + 682*x - 388*x).\nAnswer: -2116*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, -14, -4 in decreasing order.\nAnswer: 0, -4, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-20))\/((-18435)\/61450)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3338, 13384, 30132, 53582, 83734, 120588, 164144?\nAnswer: 214402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -28268.\nAnswer: 11307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-222)\/(-42) - 2\/7. Which is the third smallest value? (a) -3\/4 (b) y (c) 4\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose 3 = y*r - 0. Let a(o) = r + 4 - o**2 - 6 + 4 - o. Give a(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*b + 0 + 1065*b**2 - 1064*b**2 + 1 to j*b + m*b**2 + g and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244621537?\nAnswer: 79, 1733, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8 - o + 8. Let c(x) be the third derivative of -37*x**4\/24 + 407*x**2. Give c(m(a)).\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p*p**(-1\/24)))\/(p**(-2\/7))**29 assuming p is positive.\nAnswer: p**(727\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/5 and 30\/679?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:13 PM?\nAnswer: 426","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -1 (c) -233616 (d) 33\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(35\/(-10) - -3). Let y(k) be the third derivative of k**6\/24 + k**5\/60 + k**4\/24 - 51*k**2 - 1. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 55*r - 664. Let v be a(37). Solve -b + j - 5*j = -12, -4*j + 24 = -v*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-345)\/(-24))\/(5530\/(-6636))?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 3. Let d be k(5). Differentiate 3 - 2 - 3*v**d - 3 with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/951 and -79\/512272.\nAnswer: 1536816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 117.3 and 3.\nAnswer: 351.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(475) - (sqrt(475) - (-2*sqrt(475)*1 + sqrt(475) + sqrt(475)))) + -3)**2 - (4*(sqrt(475) + 1 + 1) + 2).\nAnswer: -20*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.05, 1\/2, -56\/9, -12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 3*o)*((-79 + 44*o**2 + 79)*(-2 - 7 - 1)*(-1 + 3 - 1) + 2*o**2 + 5*o**2 - 3*o**2).\nAnswer: -872*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/5 - 216*t\/5 = 0. What is t?\nAnswer: 0, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/7 + 3*l\/7 - 16. Factor w(d).\nAnswer: -3*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13381 - 13540. Put 1, 3\/5, -3, b in ascending order.\nAnswer: b, -3, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1668 + 136. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-220)*-8)\/((-5310)\/(-150))?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from {c: 1, m: 1, s: 1, l: 3, t: 4, w: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -3*v - d, -2*d + 42 - 34 = 0. Is -49 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539496926 + -18?\nAnswer: 539496908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -46. Let l be 2\/(-10) + 276\/30. Sort b, l, 3 in ascending order.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92 - 1045 - 1690 - 2083 - 2 + 0 + 4 + (1 - 2 + 2)*(0 + 3 - 4) + 2 + 1 - 5)*(-p - 35 + 35) to the form t + z*p and give z.\nAnswer: 4727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1187, -9757, -33065, -78479, -153367, -265097?\n\"Answer: -1228*l**3 - l**2 + 29*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25138*h = 68854 + 1891910 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -398346*b*d**2 + b*d + 5*b + 10174114*d**2 wrt b.\nAnswer: -398346*d**2 + d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1 - 1 + 5 - 3 - 7*c. Suppose -5*l + 4 + 6 = 0. Suppose 4*b - 5 + 1 = -f, 16 = l*b - 3*f. Determine m(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161267550 divided by -655\nAnswer: 246210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-16 + 6 - -3)) + -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 11*v**2 - 14*v + 13. What is y(10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 + 5*o - 8. Let y be j(-6). Let x = 1 - 0.6. Let w = -474.88 - -474.58. Which is the biggest value? (a) 1 (b) x (c) y (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -18*t + 499. Let c(y) = 51*y**2 - 21*y. Let b(i) = 11 + 2*i - 5*i**2 - 11. Calculate t*b(f) + 2*c(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -4043, 2, -5, 10.\nAnswer: -4043, -5, -3, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + ((-3)\/(-2))\/(6\/20). Suppose -4*k - h - 1 = 0. Let r = 3.87 + 0.13. What is the closest to k in r, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1814 or 1821?\nAnswer: 1821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = -3. Let c = 10 + d. Suppose -2*x - 2*q + 40 = 0, -5*x + c*q - q = -80. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and 167663?\nAnswer: 17101626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -34.6\nAnswer: -13.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -35\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 2333.\nAnswer: -155\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -22207*x - 11. Let z(j) = -3697*j - 2. Calculate -6*k(y) + 34*z(y).\nAnswer: 7544*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z - 8. Let i be (-2 + z)\/(-2 + 1). Let f = 7 - 1. Solve 3*q + i = -f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 25*b + 16. Let h(r) = r**2 + 13*r + 8. Let q(g) = 7*h(g) - 4*m(g). Let x be q(-7). Let k(a) = a + 4. What are the prime factors of k(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 53 - 99 = 0. Let b = z - -48. Factor -6 - b*u**2 + 3*u + 5 + 11 + 2*u - 5*u**3.\nAnswer: -5*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, g: 1, q: 1, f: 9, w: 2}. Give prob of sequence qwg.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 7466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 986 and 1296267.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:41 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20aa9 (base 11) to base 6.\nAnswer: -353415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412476449*z - 316027672 wrt z.\nAnswer: -412476449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10597.5193+1\nAnswer: 10598.5193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5152\/168*15\/180*(-4)\/((-32)\/12).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -59, -4, 2, 0, 4 in increasing order.\nAnswer: -59, -4, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -223151600 divided by -2\nAnswer: 111575800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-12*f + 3*f - 10*f) + (0*f - 2*f - 5*f)*(-1 + 1 - 1) + (0 + 0 - 2)*(2*f - 2*f - 2*f) - 2 + 2 - 7*f.\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16710.23 * 4.\nAnswer: -66840.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 - 239. Let t = -15 - -21. Suppose k*f = t*f - 192. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(1\/5)*c)*c\/(c**(-5\/9)*c))\/(c**(-6))**(-15\/2))**23 assuming c is positive.\nAnswer: c**(-47242\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 - w. Let u(b) = 3*b**3 + 2*b**2 - 2*b - 15. Let t(j) = u(j) - 2*v(j). Calculate t(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - u + 13)*((4*u - 2*u + u)*(0 + 0 + 3)*(1 + 0 + 0) + 3*u - 4*u + 0*u) - 72*u**2 + 71 - 71 as i + w*u**2 + j*u and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 13520444*n + 22850300744642 = 0. What is n?\nAnswer: -3380111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 53\/3. Let l(n) be the third derivative of q*n**3 - 1\/60*n**5 + 2*n**2 - 1\/120*n**6 + 1\/6*n**4 + 0*n + 0. Determine l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 6*z + 3. Calculate c(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 e when three letters picked without replacement from evstt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 3*q + 11, b - 2*q + 13 = q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and 589.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2736) + 1 + -5.\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7896741*f**4 - 5*f**3 + 3950*f**2 - 67*f - 27 wrt f.\nAnswer: 189521784*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -46. Solve -o + r = 2*m - 3, -10 = 3*o - 4*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**2. Let j(o) = 5*o. Let n(a) = -a. Let z(p) = -6*j(p) - 34*n(p). Give z(d(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/1176*3)\/(60\/(-240))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19 (b) -1\/12 (c) 9 (d) 0.4 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, g: 4, m: 2, f: 1}. What is prob of sequence fg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:02 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1. Suppose 0 = 5*n - 2*z - 3 - 2, -5*n + 5 = 5*z. Let s(k) = k**3 - 5. Let j(y) = y**3 - 2*y**2 + 36*y - 115. Let v be j(3). Give n*s(l) + v*o(l).\nAnswer: l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/37? (a) 1\/3 (b) 0.2 (c) 4\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 3*c + 0*c**2 + 2*c**2 - 3*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/(4\/(-2)). Suppose -20 = -o - 4*o. Let y be o\/2 + -7 + 2. What is the third smallest value in y, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {s: 1, u: 1, o: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 377257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + sqrt(19) - ((sqrt(76)*-3 - sqrt(76))\/sqrt(4) - sqrt(19)) - (sqrt(304)\/(1*sqrt(8)))\/((-3*sqrt(12))\/sqrt(6)))**2.\nAnswer: 266*sqrt(19)\/3 + 7300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rer when three letters picked without replacement from {r: 3, v: 13, n: 1, s: 1, e: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 29. What is the remainder when 11 is divided by 4 + -2 + b + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102 a factor of 58432990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 1, n: 4, w: 6}. What is prob of sequence pz?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let m(q) = -q**2 - 3*q + 74. Let n be ((-4)\/(-10))\/(24\/120) - 12. Let y be m(n). Calculate s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000736 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 6*b**2 - 10*b - 10. Let y(p) = -2*p**2 - 2 + 3*p**2 - 29*p**3 + p - 3*p - 33*p**3. What is the remainder when y(-1) is divided by x(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 7*v**2 + v - 14. Let y be t(7). Let o = -0.1 + 1.1. Which is the closest to 0.1? (a) o (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5644308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/18)\/(2\/(-3)). Let w = 38\/3451 - 7016\/10353. Which is the nearest to 1\/4? (a) r (b) 5 (c) 3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175706327 is divided by 2153?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4. Let m be o(3). Suppose 4*k - 278 + 99 = -5*a, 102 = 3*a - 3*k. Suppose -a = -5*u - 4*h, -u = -h - 2 + 4. Solve -m = -2*d - u*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**6 - 826717*y**5 - y**2 - 15*y + 7980 wrt y.\nAnswer: 120*y**3 - 49603020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 - 3*j. Let x(u) = 4*u + 5*u**2 + 2 + 0 - 2. Let l be (4\/(-3))\/(2\/6). Calculate l*s(n) - 3*x(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46*(-1)\/4)\/((-2808)\/(-11232))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -688*q**2 - 1300*q.\nAnswer: -4*q*(172*q + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b (base 15) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 1 + 1)*(-o - 1 + 1) + 2*o - 4*o**2 + 6*o**2 - 4*o**2.\nAnswer: -4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/33)\/(1*-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i + 3*y - 15, -y = -5*i + 46. Let n(x) = 5*x**2 + 11*x - 4. Let v(u) = 2*u**2 + 5*u - 2. Determine i*v(t) - 4*n(t).\nAnswer: -2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*g**2 + 2 + 7*g**2 + 4*g**2 + 2*g**2.\nAnswer: 15*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1181*0.2\nAnswer: -236.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1141497492 and -1.6489?\nAnswer: 1141497493.6489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(720)*-1*-5 + sqrt(720) + sqrt(720))*-2 + ((0 + sqrt(720))*2 - (sqrt(720) + 1 + 2)) + 2)**2.\nAnswer: 312*sqrt(5) + 121681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -2*k**3 - 3*k**2\/2 - 4*k - 42. Let a(g) = -3*g**2. Calculate p(a(q)).\nAnswer: 36*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -72883700 to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from mogpg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 27*p - 70. What is the least common multiple of q(-7) and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/20 - 5*f**4\/12 - f**3\/3 + 6*f**2 - 9*f. Let x be j(5). Suppose x*y - 6 = -2. Solve y*r + 8 = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 434 + -817. Let x be ((-4)\/(-6))\/(260\/150306). Let g = w + x. Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2)\/(12 + -8). Put m, 4, -105 in increasing order.\nAnswer: -105, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 15}. What is prob of picking 2 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28962 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212210 - 210020122?\nAnswer: -212010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 189\/6 - (3 + -5)\/(-4). Suppose -h = 4*p - r, h = p - 4*h - 34. Suppose -p*c + 681 = -6*c. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -11. Suppose 4*n = 2*z - 72, n = 3*z - 86 - u. Let m = 117 - z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-25)*(c**(4\/7)\/c)\/c**(-2\/3) assuming c is positive.\nAnswer: c**(530\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/7, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44102.64072 rounded to the nearest 10?\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -5. Let f = 38820.7773 + -38807.77729964. Let b = y + f. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/45 and 20\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8268.6957 + 323\nAnswer: 8591.6957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*m - 24, -5*x + 7*m = 2*m - 90. Suppose -b - 2*b = x. Suppose -7*p = -2*p + 20. Sort p, b, 2.\nAnswer: b, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2 - 6\/4)\/((-3)\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1506114 divided by 6.\nAnswer: 251019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3380\/5915 + 1\/7*-3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkzzkzzkkz. Give prob of picking 3 k.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((17\/(-4))\/17)\/((-57)\/24). Solve -4\/19*i - 6\/19 + k*i**2 = 0 for i.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21012020210020 (base 3) to base 2.\nAnswer: -1110100101011101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 25855*a + 1676306. Give s(65).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = n - 0*n + 4*m, 4*n + 4*m - 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(637) + (sqrt(13) + sqrt(39)\/sqrt(3))*-6)**2.\nAnswer: -60*sqrt(13) + 1956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-790 + 391 + j + 394)*(1 - 1 - 2*j) in the form a*j**2 + m*j + q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 72*x = 73*x - 24, 5*x = 4*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -582, -698, -936, -1290, -1754, -2322, -2988, -3746?\n\"Answer: o**3 - 67*o**2 + 78*o - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11030 (base 4) in base 9?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f + 1. Let a(x) = -x + 2*x + 2 + x**2 - 3*x. Let w(n) be the first derivative of n**2\/2 - n + 10. Give f*a(k) - 2*w(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 957996 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 + h**3 - 4*h**2 + 4*h - 251. What is f(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/(-19) - (93 - 107).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 225 and -291124.\nAnswer: -65502900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 599807754.6 to the nearest 100000.\nAnswer: 599800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, 5, -41, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqoiiqiqvqvmioqqqqmq. What is prob of sequence mvi?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43b01 (base 15) in base 5?\nAnswer: -23340401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2745641 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/51, 2\/29, -7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r - 145. Suppose 65 = -34*u + 29*u. Let h be d(u). What is the greatest common divisor of h and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2. Let i = -4332.7 - -4333. What is the smallest value in g, i, 0.5, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l. Let u(t) be the second derivative of -t**3\/3 - 3*t. Determine u(a(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32479809 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**5 + x**4 + x**3 + x**2 - 1. Let h(r) = -2*r**5 + r**4 + r**3 - 5*r**2 - 5*r + 1. Suppose -2 = -2*u - 6. Let b(k) = u*h(k) - 6*j(k). Factor b(m).\nAnswer: -2*(m - 1)*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392750.18 milliseconds in days?\nAnswer: 0.01611979375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23095 and 10062715?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 8*o**2 - 10. Let u be x(7). Let q = u + 85. What is the remainder when 50 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 54652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k**3 - 134*k**2 + 16*k - 485. Calculate a(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/9 and -5\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/42 + 2*r**3\/21 - 3*r + 2. Let c(i) be the first derivative of h(i). Factor c(d).\nAnswer: -2*d*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3013*w + 3017*w + 5*i = -103, 0 = -w + 5*i - 7 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -3*v. Suppose -f = -4*z + 38, -56 = 4*z - 9*z - v*f. Solve -z = -4*j + 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.889383 to 2 decimal places.\nAnswer: 12.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 42 + 247 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369270.1024 rounded to the nearest 100?\nAnswer: 369300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+185133\nAnswer: 185131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*16\/(-96)*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k. Let v(y) = -2*y - 627. Determine v(g(d)).\nAnswer: -18*d - 627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/28 - 69\/140. Which is the closest to -3\/4? (a) -1\/4 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25799 is divided by 12119.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + t + 15 - 2*t**2 + 10 - 46*t**3.\nAnswer: -46*t**3 - 2*t**2 + t + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 735. Let b = r - 180. Calculate the highest common factor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7376412*l - 7376415*l = -4*v - 41, -1 = -v + 3*l for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2.9 (b) -0.6 (c) 5709 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(42)\/sqrt(3))\/sqrt(2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22\/559 + 625\/1677. Which is the nearest to h? (a) -29 (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1287\/2541 - 12\/33.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 5*q + (4 - 2 - 4)*(q + 2 - 2)*(1 + 0 + 1).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2\/11 + 124*o\/11 + 111241606\/11 = 0.\nAnswer: -7427, 7489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Let s(w) be the second derivative of 0*w**2 - 1\/6*w**4 + 0 + 0*w**3 - 2*w - 1\/20*w**z. What is the third derivative of s(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3) - 16\/(-3). Suppose -215 = -s*l - 3. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34144120 - -20?\nAnswer: -34144100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 5*w - 15, -4*o - 3*w = -13. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -3038 in descending order.\nAnswer: 0, -3, -3038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnfxfndxdxddntftdtft. Give prob of picking 2 n and 2 f.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*6 + sqrt(19) - (sqrt(171) + -3*sqrt(171))**2 - (-6*(sqrt(684) + -3*sqrt(684)) + 0)**2.\nAnswer: -99180 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1397\/(-336550)*25*-3*(-4)\/(-33)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 5171, 11548, 20481?\nAnswer: 31970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 5*q + 3*q - 5 + 0*q. Let o be ((84\/35)\/3)\/(4\/30). What is the tens digit of s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 12 = -2*w, -4*w - 34 = -28*y + 23*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 828 + -828.05. Put 13, 0.1, 3\/2, c, 23 in ascending order.\nAnswer: c, 0.1, 3\/2, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, 5, 1857 in decreasing order.\nAnswer: 1857, 119, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 8463*k + 276012.\nAnswer: 3*(k + 33)*(k + 2788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5909020*v**4 + 3*v**2 + 893*v - 50?\nAnswer: 141816480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -143, -1\/4.\nAnswer: -143, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-27) - 13\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 5*b - 4. Let q be h(5). Let u = -9 - q. Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-194)\/(-8) + (-465)\/(-620). What is the highest common factor of 4175 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -30, 2\/9, 4\/7, -5, 52.\nAnswer: -30, -5, -3, 2\/9, 4\/7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*g + 63*g = -28. Suppose g*w + 600 = 19*w. What is the second derivative of -34*h + 73*h - w*h + 37*h**4 wrt h?\nAnswer: 444*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/3)*34*(-66)\/(-79101).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/10227 and 103\/3596008?\nAnswer: 75516168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 60*f**2 + 9*f + 49. Let j(v) = 2*v - 181 + 6*v + 58*v**2 + 230. Let r(h) = 5*c(h) - 6*j(h). What is the derivative of r(k) wrt k?\nAnswer: -96*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:30 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((4 + 1*sqrt(176) - sqrt(176))*-1 + (sqrt(176) + -2*sqrt(176) + -1)*5))**2.\nAnswer: 3240*sqrt(11) + 40329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26158186 divided by 4\nAnswer: -13079093\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let y(s) = -2 + 0*s**2 - s + s**2 - 2. Calculate y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3657 - -3623. Which is the fourth smallest value? (a) -1 (b) 0.4 (c) 2\/7 (d) -5 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3513 - -4308. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - 8*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2575 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 6, 1, -6?\n\"Answer: -n**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*g = -17, -z + 6 = -g + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2 - 5*k + 4 + 4*k. Let d be i(0). Suppose -d*u + 42 = u. Calculate the greatest common divisor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4890*l = -5935*l - 4790*l - 10367*l - 16202 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 94, 34, -32, -104?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 t, and 1 l when three letters picked without replacement from {g: 3, t: 1, l: 11}?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 476, 462, 442, 416?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 76268.\nAnswer: 38134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*m*r*u - 2*m*u**4 + 418*r*u**4 - r*u**2 - r*u wrt u?\nAnswer: -48*m*u + 10032*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let u(d) = -1. Suppose -2*i - 48 = -74. Suppose -13*q + 13 = -i. Determine q*u(a) - p(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w = 0. Suppose -18 = -5*k - 3*h + 2*h, w = 5*k - 4*h - 28. Solve 0 = -q + 4*s - 25, 0 = -q - k*s + s + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*x - 2*x = -16, -4*x - 16 = 2*b. Put 3, -3, -4, b in increasing order.\nAnswer: -4, -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((-7)\/(-5) + -1). Let u(a) be the second derivative of a**3\/6 + 2*a**2 - a. Let m be u(y). Solve -5*l - m*g = -6*g - 20, 5*l - g = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (298\/3)\/(20\/30). Suppose -2*h + 231 = 21. Let x = r - h. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j + 24. Solve -2 = -o - 2*n + j, 2*o + 15 = 3*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0391 + 0.0609. Suppose -3*v = -7*v - 8. Let h be 20\/(-6)*v\/10. Which is the second smallest value? (a) -1\/2 (b) p (c) h (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-260))\/((-6)\/(-39)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5602 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(105) - (2*sqrt(105) - sqrt(105))))\/(2*sqrt(112)))\/(sqrt(55)\/(1*sqrt(11))*-3*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwiwgiwgwwgig. Give prob of picking 1 g and 3 i.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11650909.\nAnswer: 107, 108887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**21*(p**(2\/5)\/p*p)**(-29\/5))\/((p**14\/p)\/p**(-2\/17))**30 assuming p is positive.\nAnswer: p**(-168236\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/5)\/((-24)\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 52 = t, -1441 = -10*m - 51*t - 1398 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 4*c. Let t be u(-2). Suppose 276 = 2*d - 2*l, -5*d + 2*l + 385 = -302. Suppose t = -4*j + 251 + d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4004 + 3*d - 4004 - 2*d**2 + d. Let i(n) = 4*n**2. Calculate b(i(c)).\nAnswer: -32*c**4 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-8)\/f*f*f*f)\/((f\/(f\/f**47))\/f)*(f**(5\/4))**(-17\/5) assuming f is positive.\nAnswer: f**(-221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 - 158*s**2 - 10*s + 99 + 2*s + 155*s**2 to the form h*s**2 + k + i*s and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11344 and 2889175?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*h**2*i**3 - 868*h*i**3 wrt h.\nAnswer: 172*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.55816.\nAnswer: 3.11632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*h + 403 - 939 - 1096 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276138302 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -65480 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 17 - 15) + (14 + -5 - (-3 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 - -874\/5. Let a = 103\/35 - y. Put 2, a, -1\/2 in increasing order.\nAnswer: -1\/2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c. Let d(v) = 5*v + v + 5 + 4*v**2 + 6*v**2 - v. Let y(h) = 11*h**2 + 6*h + 6. Let a(o) = -6*d(o) + 5*y(o). What is j(a(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.5 + 10. Let n(a) = a**3 - 15*a**2 - 2*a + 34. Let k be n(15). Suppose 0 = k*x, -4*u + 9*u = -x - 15. What is the second biggest value in 0, z, u, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.9346km in meters?\nAnswer: 294934.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(8\/(-40))\/((-4)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 8*k**2 - k - 3. Let i be h(-8). Suppose -23*x**2 + 84*x + i*x**3 - 8*x**2 + 3*x**3 - 18 - 19*x**2 = 0. What is x?\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 76070181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbmd when four letters picked without replacement from bddbm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 17 - (-52 + (93 - 46)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9*p - 8*p - 43 = 0, 47 = -b + 5*p. Let s = -24 - b. What is the smallest common multiple of s and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 177, 178, 185, 198, 217, 242, 273?\n\"Answer: 3*t**2 - 8*t + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-32) - 294\/(-8). Let s = 116 - r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 46 + 125 - 42 + 154*y.\nAnswer: 154*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14964\/9976)\/((5\/1*1)\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -52927 - -0.62\nAnswer: -52926.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = -250. Suppose -87 = -s - 43. Let b = s + g. Is b at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893?\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 480147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) -2\/93 (d) -5 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m**2 + 2*m - 3. Let v be y(2). Let i = v + 3. Let s be (-2)\/4 - 44\/(-24). Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1933, -20336, -38747, -57172, -75617, -94088, -112591?\nAnswer: -131132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -f17 (base 16) to base 6\nAnswer: -25515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from swoiiwoowiiioi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 50*h - 10. Let c(n) = 48*n - 8. Determine -4*c(b) + 3*z(b).\nAnswer: -42*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9840 and 85280.\nAnswer: 255840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 12*z**2 + 9*z - 8. Calculate b(11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-144)*(-8)\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t - 40. Let r = 1 + 1. Suppose -r*f + t + 7 = 0. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - a**2 + a**2 - 2*a**2)*(-8*a - 5*a + 7*a) + (96 + 41*a**3 - 96)*(-2*a**2 - 3*a**2 + 4*a**2).\nAnswer: -29*a**5 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21*d. Let q(y) = 10*y. Give 5*q(s) - 2*r(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + 2*p - 4. Let w be f(4). Let v = w - 1. Let c = 5 - v. Put c, 0, 5 in decreasing order.\nAnswer: 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 874807181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let l(f) = -f. Let a(t) = -t. Let w be (18\/(-4) + 2)*32\/(-20). Let x be w\/(-3)*(-8 - -11). Let o(q) = x*a(q) + l(q). Calculate j(o(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-3562)*3\/((-27)\/(-21)))\/((-9884)\/(-5648))\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n, -u + n + 4 = 1. Suppose 5*i + 3*y - 4 = 12, -y - 18 = -3*i. Let h = i - 3. Calculate the remainder when u is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81 + 2231*a**3 + 607*a**3 - 1131*a**3 + 1022*a**3 + 6 wrt a?\nAnswer: 8187*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76))\/sqrt(4)*-4 + (1 + sqrt(931) - sqrt(19))**2 + (sqrt(57)\/(sqrt(12)\/sqrt(4)))**2.\nAnswer: 4*sqrt(19) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 2*q = 3*y - 11, 4*q + y = q. Calculate the smallest common multiple of 4 and (q + -23)*8\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 102. Let s = a + 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 48*t - 292. Does 8 divide i(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81160373 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 + 12*d + 11. Let g(z) = 5*z**2 + 11*z + 10. Let r(x) = 3*g(x) - 2*l(x). Factor r(b).\nAnswer: (b + 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4*1\/(-30)). Let m = r - -11. What is the nearest to -2 in 5, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 506.93 + -506.877774. What is o rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -14. Let y(q) = -56*q**2 + 226*q - 4. Let p be y(4). Sort a, p, 3, 2.\nAnswer: a, 2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 = 80. Let w = -11 - v. Suppose 3*r - 5*c - 6 = 22, -5*r - w*c = 15. Is r less than or equal to -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019514.\nAnswer: 2, 3, 169919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -917170 - -5539885\/6. Let q = b - 6121. What is the common denominator of q and 89\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:37 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3159461 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 ttttttwwt. What is prob of picking 2 t?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y - 214*y**4 - 210*y**4 + 613*y**4 - 187*y**4 + 3*y**2 - y**3 to the form o*y**4 + q*y**2 + f + x*y**3 + u*y and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5156e (base 15) to base 9.\nAnswer: -432475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose l = -q - 2*y, -q + 0*y + y + 12 = 0. Let g = q - 6. Is g bigger than 4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2684015, -2684029, -2684051, -2684081, -2684119, -2684165, -2684219?\nAnswer: -2684281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 51*b**2 - 182*b + 3972. What is p(49)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 p when four letters picked without replacement from {p: 13, l: 1, c: 1}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 5*s**4\/4 - s**3 - s**2\/2 - 3*s + 1. Let n be j(3). Let c = n + -13. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 4 - -1) + (-40 - -41). Suppose 0 = -4*r, 3*r + 1 = -2*k + 3*k. Let d(a) = -a**2 - 4 - 2*a - a**3 + 6*a**2 - k. Determine d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*b - 16 = 0, 27*r + 2*b = 23*r + 28. Solve 0 = 15*a - 7 - r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11428556*f - 22857095*f + 11428541*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 30, 55, 100, 171, 274, 415, 600?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/3)\/(21\/7) + (-497350)\/(-63) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20785 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -71. Suppose 6*m = 28 + q. Suppose 3*g - m = -c, -4*g + 29 = 4*c + g. Solve 0 = h + c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, 2\/5, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1201260 (base 7) to base 15\nAnswer: -2ee66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*30742\nAnswer: 12296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*g - 83*g + 34992. Suppose -130*y = -136*y + g. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 473*-2937.71\nAnswer: -1389536.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/7)\/((-6)\/(-54)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18361 + 8*x**2 - 18361.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1582 + 2?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let z be 0 + (2 - -1) - 1. Let p be m(z). Let c be -1 + p\/4*11402. Round c to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:11 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 4*o**2 - 3*o + 2. Let g be p(3). Suppose 4*a = -4, -4*a - g = 5*i - 8. Let k = 1 - -28. Solve k = -5*h - w, i*h + 17 = -3*h + 2*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(500))**2 - sqrt(500) - sqrt(500)) + 2.\nAnswer: -20*sqrt(5) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 19*h + 84 = 0. Suppose -4*y - y = -25. Is h <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248114 divided by 1801?\nAnswer: 2914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 19*y - 24*y + 15, -36 = -12*y - 5*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Suppose 4*m = 13 - a. Suppose 3*c - 1 = m*t + c, 2*t + 5*c = 31. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364618 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.72 in -0.012, 1\/8, -2, -1\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.65559 decades to years.\nAnswer: 526.5559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrrt. Give prob of sequence rt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1025 + -1022. Solve -i*o + 26 = -5*q - 0*q, -q = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, v: 1, w: 1, d: 4, e: 1}. What is prob of sequence kw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:27 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-19))\/(2\/(15\/30*10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 16*x + 24. Suppose 2*n + 28 = -3*v - 12, 4*n - 5*v = -58. Let w be q(n). Let m = 29 + -24. Solve 26 - w = -2*g + 3*t, m*g - 3*t = -34 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 2, n: 1}. What is prob of picking 1 n and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*n - 566*n + 299*n = -663 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10))**(-32)\/(f**(-2\/7)*f**(-15)\/f))**47 assuming f is positive.\nAnswer: f**(110638\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1239563, -1239520, -1239477?\n\"Answer: 43*z - 1239606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -61\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*d)*(6*d**2 - 2*d**2 - 2*d**2) - 6*d**3 + 5*d**3 + 0*d**3 + (-4 - 2 + 4)*(d**3 + 2*d**2 - 2*d**2) to w + n*d + c*d**2 + a*d**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 125*u - 265. Let j(o) = 433*o - 796. Give -7*g(d) + 2*j(d).\nAnswer: -9*d + 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 200, 5\/6, -4\/5, 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 105*d + 104*d + 106*d + 2*d**2 - 326*d to the form n*d**3 + i*d + c*d**2 + x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128\/13*u + 32\/13 + 8\/13*u**5 + 2\/13*u**4 - 16\/13*u**2 - 64\/13*u**3 = 0. Calculate u.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 45. Let u be 3\/(-4) + 875\/(-28). Let x = -14 - u. What is the smallest common multiple of x and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i. Find the second derivative of 4*q + i*q**2 + 3*q**2 - q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n - 10*n - 13 + 8 wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-11)*55\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -1 (c) 4848 (d) -0.2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-34)*(-294)\/(693\/(-33))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1280*b + 67. Is a(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 8*g - 2. Let y be r(-6). Let i(f) = f**3 - 8*f**2 - 3*f + 1. Let t be i(9). Let p = t + 35. What is the greatest common factor of p and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f - 4*f + 5*f)*(-1 + 1 + f) + 5*f**2 + f**2 - 3*f**2 + 2*f**2 + 3*f - 3*f)*(5 - 1 + 0).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20193*0.0386.\nAnswer: 779.4498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5016, 2, -4.\nAnswer: -5016, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9090 by -909.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 909218772 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 133\/9 in descending order.\nAnswer: 133\/9, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 4*k + 1. Let y(w) = 12*w**2 - 16*w + 1. Let x(n) = -4*j(n) + y(n). Let u(a) = a**3 - a**2 - 1. Let q = -43 - -41. What is q*u(c) + x(c)?\nAnswer: -2*c**3 + 6*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:58 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28\/5)\/(10\/(-75)). Let w be o\/(-10) + 4\/(-20). Let l(x) = -x**2 + 7*x - 2. Calculate l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 1, i: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 - 118. What is the second biggest value in s, 0, -0.9, 0.06, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 + (12 + -37 - -44 - 33)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 0*z)*(239 - 161 - 34 + 448).\nAnswer: -492*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(396)*-1)**2 + sqrt(11) + 4.\nAnswer: sqrt(11) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**9\/6048 + v**6\/180 - v**5\/60 - 2*v**2. Let m(t) be the third derivative of u(t). Find the first derivative of m(f) wrt f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 6. Let o(i) = 3*i**2 - i - 1. Let s be o(m). Let j = s + -26. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -10 - 17. Let m = y + 1. Suppose 5*t - 5*w = -m*w + 15, 5*t + 2*w = 15. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.3, 0, -358.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -931*z = -716*z - 35475. Suppose -2*a - 2*w = -9 - 39, -96 = -4*a - 5*w. What is the remainder when z is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23911482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4379936*m**3*v**2*z + m**3*v*z - 98*m**3*z + m**2*v**2 - 4*m**2*v*z - 5*m - 5*z wrt v?\nAnswer: -8759872*m**3*z + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*b + 38, 2 = -c - b - 2. Let x be ((-4)\/(-6))\/((-2)\/c). Solve -3*o = -2 + 5, 5 = -a - x*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g - 54. Let y = 2319 - 2373. Let x(q) = 1. Calculate y*x(k) - v(k).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21684192 and 3210.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95135 is divided by 22520?\nAnswer: 5055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1216 + 1699 + 439 - 13*l - 1064 wrt l.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 1. Let p(d) be the first derivative of 7*d**3\/3 + 3*d**2\/2 - 5*d + 2. Let j(a) = p(a) + 4*t(a). Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4326 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-30)*(-66)\/60*2\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/6 + y**3\/3 + 3*y**2\/2 - y. Calculate the remainder when i(-2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003729109 to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Calculate the remainder when 11 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n - 4. Let p = 68 - 63. Let f be s(p). Solve 3*v - k - 3 + 2 = 0, -v + f = -k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7466 + -7463. Solve -5*r + 16*c = 19*c - 4, 0 = -r - h*c + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(275\/(-22)))\/(((-1)\/(-5))\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, 1\/4, -0.93, -2, -7883?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2056*d**3 + 27*d**2 + d + 66216?\nAnswer: 12336*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75*(-7)\/126*(-10)\/(-25).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0498? (a) -1 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:11 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 2209 - 34*u**2 - 1108 - 4*u**2 - 1101.\nAnswer: -43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61076, -122151, -183226?\n\"Answer: -61075*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11512 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 711851141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -85 (b) 0.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 + 39*x**3 + 8*x**3 + 60*x**3.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = 7. Suppose 2*c + 4 = -3*i - 0*i, -i + 3*c + 17 = 0. Suppose 0 = -3*l - i*f + 29 + 9, 18 = 2*l + j*f. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -2\/9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307004771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 20*b**2 + 11*b + 20. List the prime factors of o(-16).\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10112 - -16216. Suppose -12*l + 4*l + u = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-418)\/285*3 + (1 - 8\/5). Let n(x) = x**3. Let a(y) = -7*y**3 + 7*y. What is i*n(h) - a(h)?\nAnswer: 2*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 870873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 less than 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -66.7. Sort m, 2\/11, -6\/13 in descending order.\nAnswer: 2\/11, -6\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 96, 199, 338, 513, 724, 971?\n\"Answer: 18*f**2 + 13*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 356303587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 184059.3 decades?\nAnswer: 1840.593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29cb8 (base 16) to base 7\nAnswer: 1312050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 32*t**3 + 52*t**2 + 24*t - 8. Let p(d) = -31*d**3 - 52*d**2 - 23*d + 7. Let m(g) = -4*p(g) - 3*q(g). Factor m(b).\nAnswer: 4*(b + 1)**2*(7*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00963511905 to 6 decimal places.\nAnswer: 0.009635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5490 = -i. What is the derivative of -11*v**4 + 915*v**2 + 43 - i*v**2 + v**4 wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/24 - h**5\/6 + 3*h**2. Factor v(x).\nAnswer: -5*x**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 87\/5 of a millennium?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2127.7 - -2038. What is i rounded to the nearest integer?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120))\/sqrt(6) + -2*sqrt(125)*-3)**2.\nAnswer: 5780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25*(-21)\/(-273)*13\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -272799?\nAnswer: 10639161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -884, -2819, -5812, -9857, -14948, -21079, -28244?\nAnswer: -36437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -748 + 768. Solve -h*u + 0*u = -20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70930 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18026102*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 11, -19, 15 in ascending order.\nAnswer: -19, 1, 5, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/10 and 21\/236?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 7. Let y be i(-12). What is the closest to 1 in -4, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 5*w**2 + 4*w - 2. Let u be v(-4). Let o = 94 + u. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 0*i + 150. Suppose -4*v + 4*n + 38 = 14, i = 5*v + 2*n. Suppose -q + v*q - 115 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -36. Which is smaller: f or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45\/10*(-368)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 40*i + 294. Let l be m(-7). Solve -l*v + 33 = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010010011010111000 (base 2) to base 5.\nAnswer: -410221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**2*u**5 + 17*a**2*u**4 + 5*a**2*u**2 + 40*a**2 wrt u.\nAnswer: 180*a**2*u**2 + 408*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -130023?\nAnswer: 130013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62.135 - -62. Let v = -0.16 - d. What is v rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6741 + -6736. Put 3, n, -4, -37, -1 in descending order.\nAnswer: n, 3, -1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13231 + -13143. What is the greatest common divisor of n and 968?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:33 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867, -1822, -2827, -3882, -4987?\nAnswer: -6142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa89b8 (base 14) in base 8?\nAnswer: -26045246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -582*10\/(-660) + -9. Which is the nearest to 0.1? (a) l (b) 1 (c) 5 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -889, -1378, -1909, -2488, -3121, -3814?\nAnswer: -4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, y: 2, v: 3, w: 4, f: 1}. What is prob of picking 2 w, 1 y, and 1 v?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.09, -0.3, 1\/61, 0.07, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 - t**4 - 2*t**4)*(t + 2*t - t) - 78*t**5 - 121*t + 14*t**5 + 124*t.\nAnswer: -68*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734809 + -0.007.\nAnswer: 734808.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.4 - 13.4. What is the nearest to -1\/3 in 3, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 208*p + 10816.\nAnswer: (p + 104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30890 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -1 (b) -23\/3 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 291\/32*(-7)\/(1785\/(-17)) and 2186\/(-168) - (-9)\/21?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6505*-0.038\nAnswer: -247.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/15*48\/192?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9666544740\/5821 + 1660633. Find the common denominator of 23\/3 and n.\nAnswer: 17463","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -104, -121, -156, -215, -304?\n\"Answer: -x**3 - 3*x**2 - x - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.26 - 1.74. What is the third biggest value in 1, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20272 is divided by 20261?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314*t = -1189*t + 4500 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*z - 14, -415*z - c = -418*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 4 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10436, -41778, -94030, -167204, -261312?\nAnswer: -376366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 398 - 397. What is the second smallest value in p, 8, -35?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15) - (-29)\/3. Let h be (6 + -1)*a\/25. Put h, -4, -39 in increasing order.\nAnswer: -39, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -311 - -314. Suppose -611 = -2*y - j, -n*y + 1179 = -5*j + 269. List the prime factors of y.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31354995 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -224 + 433 - 160 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + g + 7 + 1 = 0, 5*b + 5*g - 5 = 0. Suppose -4*d - b*h = -83, -3*d = -h + 2*h - 56. Suppose 0 = -4*t - 1 + d. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275747699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/(-4)*3. Let f(k) = k**2 + k - 3. Let v be f(s). Suppose 5*n = 2*o - v*o + 55, 0 = -4*n - o + 45. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9397 - -18842. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/s**(-4)*s))\/(s*s**(1\/4)*s))\/(s\/(s**12*s)*s**8*s) assuming s is positive.\nAnswer: s**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517\/6 - 137\/3. Let s(q) be the second derivative of -x*q**2 + 1029\/20*q**5 - 5*q + 0 + 189\/2*q**3 - 441\/4*q**4. Factor s(z).\nAnswer: 3*(7*z - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 770906 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18340 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 16*w + 8. Let p(m) = -m**2 - 18*m - 9. Let u(k) = -5*n(k) - 4*p(k). Calculate u(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-40 + 191058*(-74)\/(-353535))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17) + -1 + 1*(sqrt(272) + sqrt(17)))*-4 - (-2 + (0 + sqrt(1377))**2 + 0)*-1)*-4.\nAnswer: -5516 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(-b + 6*b - 2*b)*(3*b - 3*b - b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 2*t**2 - 3*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43652 is divided by 121?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049150.\nAnswer: 2, 3, 5, 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -23. Calculate the remainder when 38 - (-6 - (-2 + -5 - 6)) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -69*f + 1392. Calculate r(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-676*(-1)\/(-2). Let x = l - 340. Is -17\/11 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.8 + -0.05.\nAnswer: -51.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 21. Which is the second smallest value? (a) s (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-49))\/(26\/(-91)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 + 102043920*k**2 = 0 for k.\nAnswer: 0, 25510980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50265, -50264, -50263, -50262, -50261?\nAnswer: -50260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9774*m + 26066*m - 7*m**2 + 8*m**2.\nAnswer: m**2 + 16292*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 + 1 = 0. Differentiate -o + 0*g**2 + 5 - g**2 - 1 with respect to g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*r**2 - 2553*r**2 - 15*r + 15*r.\nAnswer: -2659*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.275 + 0.402. Let r = -950.9116 + 951.03859629. Let q = m - r. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 153.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4, 5*a = 2*i - 7*i + 15. Suppose -5*q = 24 - i. Let c(z) = -539 - 3*z**2 + 5*z + 282 + 255 - z**3. Calculate c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825 = 28652*m - 28627*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30379.4 - 30379. Let u = 0.7 + -0.7. What is the closest to 1.1 in n, -1\/3, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 22*g - 71*g + 47*g)*(381*g**3 + 300*g**3 - 574*g**3)*(4 - 1 - 5).\nAnswer: 428*g**4 + 16906*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2002 (base 11) to base 8\nAnswer: 5150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6353 is divided by 3121?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 - 4356456*x + 2372338609992 = 0?\nAnswer: 1089114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.175 - -0.775. Which is the nearest to 0? (a) -3 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(560\/7))\/(38\/20)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k - 12*k + 5*a - 95, 4*k - a = -23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 20*o - 2626 = 92*o + 1814 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3132 by 9.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 554141.7 weeks in hours?\nAnswer: 93095805.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 360, 1256, 2684, 4638, 7112?\n\"Answer: -p**3 + 272*p**2 + 87*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 divided by -2?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*c + c + 6 = 0, -c = 4*w - 1. Let r be 1*-1*(-72)\/w. Suppose 2*j = -j + r. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -5*i - 3*m, 3*i = 2*i + 4*m - 14. Let p(j) = -j - 13. Let b be p(i). Solve -23 = 5*f - o - 4, -b*o + 8 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 67. Let u be ((-8)\/(-9))\/(2\/3) + j. Let a = -1\/22 - 16\/11. Sort u, 4, a in descending order.\nAnswer: 4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15304599 or -15304594?\nAnswer: -15304599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3706 + 3889. Let d = -20.6522928 + -162.3475882. Let y = o + d. Round y to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-4 + sqrt(272)*-2 - -1*(sqrt(272) + sqrt(272)*1) - (((4 + sqrt(272) + sqrt(272) + sqrt(272))*-3 - sqrt(272)) + 3)))*-5)**2.\nAnswer: 2000*sqrt(17) + 680025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*s + 110 = 0, s = 2*l + l - 49. Let r be ((-1)\/l)\/((-2)\/(-8)). Let f = 553674 + -553677. What is the nearest to -1 in 5, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -75, -81, -103, -147, -219, -325?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396300402 to the power of 1\/2, to the nearest integer?\nAnswer: 48952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 17585*u**2. Let m(z) = 5*z**2. Give i(m(g)).\nAnswer: 439625*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35774\/(-310) + 107 + 2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.1, -1\/3, -3\/7?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 - 2*c - 2 + 7*c**2 - 10*c**2 + 4*c**3 - c**2 to u + q*c**3 + g*c**2 + h*c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -452 - 92. What is the lowest common multiple of 30\/(-9) - -2 - o\/12 and 18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h + 3852. Let t(k) = 8*k + 3850. Calculate 5*r(f) - 4*t(f).\nAnswer: -2*f + 3860","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 - 16 - 5\/(20\/(-8)) and 98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25150 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -3\/4, 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1134 - 5?\nAnswer: 112a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/4 and -37\/254.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398662.4 rounded to the nearest 1000?\nAnswer: 1399000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -2\/27*g**5 + 65*g**2 + 0 + 0*g + 1\/54*g**4 - 16\/945*g**7 + 0*g**3 + 17\/270*g**6. Let c(u) = 0. Calculate u.\nAnswer: 0, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -12b?\nAnswer: -12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184386 divided by -5.\nAnswer: -2184386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 88. Calculate f(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q + 171785 - 21250 = 314*q. Calculate the remainder when q is divided by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 55 - 15 = 0. Let v = 6089 - 6001. What is the remainder when v is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x. Let n(u) = 3*u**2 - 661 - 667 + 1328. Give n(j(z)).\nAnswer: 243*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)\/(5\/6 - 1). Suppose 0 = -33*u + 31*u - a. Let r be 24\/18*u\/2. Put -5, r, -8, 0.4 in increasing order.\nAnswer: -8, -5, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 3*g + 4 = 0. What is g?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99508?\nAnswer: 2, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 195 (b) 3.98 (c) -0.7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -633 + 379. Let v = o - -1271\/5. What is the third smallest value in 4, 3, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1429*q**3 - 30*q - 1462*q**3 + 24*q + 21*q as g*q**3 + j + w*q**2 + r*q and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241468, 241445, 241406, 241345, 241256, 241133, 240970, 240761?\nAnswer: 240500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 68*v**5 + 130*v**4 + 8*v**3 - 116*v**2 - 76*v - 14 = 0?\nAnswer: -1, -1\/2, -7\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/(-15) - (1 - (-1282)\/(-5)) is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16115942 to the nearest integer?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1176 divide 35463370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven tenths of a gram in milligrams?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 154*t**2 - 474*t - 469. What is z(-157)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 - (115 + -110)) + 60\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/7 - 478*u**3\/7 + 38844*u**2\/7 - 1131624*u\/7 + 4745520\/7.\nAnswer: 2*(u - 78)**3*(u - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267580 + -0.1.\nAnswer: 267579.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -39.6. Let w = 3.38 - f. What is w rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15317\/5 or -3062?\nAnswer: -15317\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l + 3*l - l)*(2*l + 2*l - 3*l) + 22 - 22 - 84*l**2)*(-2*l + 0*l + 3*l)*(-l + 0 + 0 + (-2*l + 0*l + 4*l)*(2 - 4 + 3)).\nAnswer: -85*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20717 is divided by 20032.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 12*x + 8. Calculate the smallest common multiple of 30 and s(-12).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1.46118.\nAnswer: 2.92236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31177986 divided by -14\nAnswer: 2226999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t**2 + t - 1. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**2 + 4*f - 1. Let j(p) = -3*p**3 + 13*p**2 - 5*p + 1. Determine 5*i(n) + 4*j(n).\nAnswer: -12*n**3 - 13*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - ((-24 - 29) + 43).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 5\/3)\/(154\/33 + -5). Sort 19, 9, -2, i.\nAnswer: -2, i, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + -0.31. Let w = 3 + -4. Let y = 1 + w. Which is the closest to y? (a) -2 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.413 - -2.103. Let d = -0.31 - v. Let x = 1.9 + d. Which is the nearest to x? (a) 2\/5 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 1112. Let i(m) = -3*m**2. Calculate u(i(k)).\nAnswer: -6*k**2 - 1112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**3 - 1220*k**2 - 423*k - 3473. Determine h(-203).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 0.4, 0.6 in increasing order.\nAnswer: -68, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, 5, 7, -6 in ascending order.\nAnswer: -6, -1, 0.1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o\/(o\/o**(-8)))**(27\/5)\/(o**(-1\/11)\/(o\/((o\/o**(-8))\/o)))**(-37) assuming o is positive.\nAnswer: o**(12872\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99348*r**3 + 125*r**2 + 36626203*r.\nAnswer: -596088*r + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 134*i**2 - 1451*i - 1584.\nAnswer: (i - 11)*(i + 1)*(i + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 183 + 117. Let r = k + 85. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/13))**(-1\/66)*u\/(u**(1\/14)*u)*u*u\/u**(-6)*u assuming u is positive.\nAnswer: u**(8920\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13849591, -27699231, -41548873, -55398517, -69248163, -83097811?\nAnswer: -96947461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -397 + 333. Calculate the smallest common multiple of 14\/(-14)*(0\/(-2) + z) and 12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {v: 1, h: 2, a: 1, y: 2, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by (-8)\/32 - (-90)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*c - 3312 = 104*c + 125725 - 3859 for c.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101957953 = -3*d - 17586193. Let l = d - 10523922. Suppose 4*z - 4 = 2*z, 4*c - l = z. What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 19. Give q(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(66)*-1 - sqrt(66)) - ((sqrt(66) + 2*sqrt(66)*-2 - sqrt(66)) + sqrt(66)))*6)\/((sqrt(108)*2)\/(sqrt(8)*-2)).\nAnswer: -52*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*y + 180*y - 6 + 61*y + 197*y.\nAnswer: 5*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:51 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 100, 146, 192, 238?\n\"Answer: 46*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193162.104 rounded to the nearest 100?\nAnswer: 1193200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/154)\/(3\/18*-3)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(66)*-1)\/sqrt(3))\/sqrt(11) - sqrt(500)\/(sqrt(10) - (sqrt(10) + sqrt(90) - sqrt(10)))))**2.\nAnswer: -15*sqrt(2) + 59\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 88032\/13832 + 8\/(-38).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzzzduzguggdu. What is prob of sequence ggzu?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose -m - k*a + 85 = 0, 0*a = 5*m - 5*a - 325. Calculate the smallest common multiple of (-190)\/m - 2\/7 - -11 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 9*o - 3. Suppose 0 = 4*n - 2*d + 158, -3*n - d = 3*d + 102. Let y = n - -29. What is p(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29.857 in 5, 0.3, 10.5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778431383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {m: 5, r: 2, d: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let s(y) = -y + 581 - 1731 - y**2 + 581 + 570. Calculate s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 5105.\nAnswer: 30630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 44.00000007. Round x to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68661302 to the power of 1\/2, to the nearest integer?\nAnswer: 8286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-8) + 51\/68. Solve -18 = -z*x + 5*m, 2*m = -4*x + 3*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780249356.\nAnswer: 2, 195062339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6485*l - 3966*l - 958*l - 5485*l as i*l + w and give i.\nAnswer: -16894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11.26 (b) 0.2 (c) 1\/9 (d) 23 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*i + 21 = -62, -67 = 5*u + 4*i. Let l(r) = -33*r - 48. Let o be l(-3). Let w = o + u. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -6. Let p = s - -31. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -546\/11?\nAnswer: -546\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 517, 779, 1065, 1375, 1709?\n\"Answer: 12*b**2 + 202*b + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 324.1351, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(-20*o - 19 + 19).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840 is divided by 626730\/9360 + (-2)\/(-48)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = 4*d + 1, -2*r + 10 = 3*d. Sort r, 3, -1, -5.\nAnswer: -5, -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1642641 (b) 2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 = 40. Let n(h) = -50529*h**2 - 16 + 35107*h**2 + 18 + 170452*h**2 + 6 + 6*h. Let y be n(v). What is y rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142400829.\nAnswer: 3, 1187, 39989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-518)\/(-777))\/((-2)\/(-12)). What is the third smallest value in 523, t, 0.1?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:45 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.0063, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5272\/14 - (0 + (-9)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63 + -0.18.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 13*s**2 - 870*s - 331. Determine h(37).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1635965 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - m - m - 8*m**2 - 75*m**2 + 2*m.\nAnswer: -83*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + -68. Suppose 0 = -2*u + 2*y - 6*y + 146, -5*u = 4*y - 347. Let o = u - m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1191629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -31*v + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 52. Suppose z = 5*h + 6*h - 1144. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciwnqcccwi. What is prob of sequence cicw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336*w**3 - 6*w - 316*w**3 + 5 + 3*w)*(14 - 14 - 3*w).\nAnswer: -60*w**4 + 9*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 213*y**2 - 2 + 3*y**3 - 233*y**2 to the form m*y**3 + n*y**2 + z + i*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*l*o*r - 4*j*l*o + 2*j*l*r + 6*j*r - 2*l*r - 6*l + 3*o*r + 16*o with respect to j.\nAnswer: -l*o*r - 4*l*o + 2*l*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**2 - 8*s - 5. Calculate the remainder when h(-6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 240487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, -1, -41, -133, -295, -545?\n\"Answer: -3*a**3 + a**2 + 12*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*t**4*u**3 - t**4*u - 405*t**4 + 23*t**2*u**2 - 1125*u**3 - u**2 wrt t?\nAnswer: -264*t*u**3 - 24*t*u - 9720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9 + 2*f**3 - 6*f - 3*f**3 + 8*f - 12*f**2 - 14*f. Let u be d(-11). Let p be (0 - (-3)\/12)\/(u\/24). Solve -11 = -p*c - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -196*l + 103*l + 96*l. Let a(h) = 32*h. What is t(a(g))?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 9, s = f + 160 - 162 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48.3198 and -4?\nAnswer: 193.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707 = 108*w - 1362 + 4003 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -1\/3 (b) 0.5 (c) -2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2849.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23335 (base 6) to base 9\nAnswer: 4555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5\/4 (c) 4 (d) -210.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3035 + -1.3.\nAnswer: 3033.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64060\/11781 - 389\/77. Calculate the common denominator of 6\/9 - (-1090)\/(-1122) and s.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -90*(-9)\/105 + 4\/14. Solve -27*y - p = -25*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 20*z = -80. Suppose 8 + 13 = -g - 5*k, g + 4*k = -z. Solve 0 = -4*x + f + 2*f + 14, 0 = 2*f + g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19186858 is divided by 78?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-4 - sqrt(20))\/(sqrt(16)*6).\nAnswer: -7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -399.6.\nAnswer: -396.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/120 - 65*b**4\/48 - 16*b**3\/3 - b**2 - 102*b. Determine w so that h(w) = 0.\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/6)\/((-2)\/3). Suppose -5 = -5*n + 3*o, n + 0 = -2*o + q. Let s = 6 - n. Solve 3*i + 4*w = -i - 16, s*w = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -112. Let r(d) = -d**2 + 6*d - 23. Let h be r(v). Which is smaller: -127\/2 or h?\nAnswer: -127\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-200\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -323 - -330. Let a(d) = -9 + 4 + d**3 + 0 - 11*d + s - 7*d**2 + 5. What is a(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.52574 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*51\/(-34). Suppose 0 = 7*v - m*v - 1445. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, q: 6, e: 3, b: 1, v: 4, o: 1}. Give prob of sequence evd.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v + 104. What is u(1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p + v, 2 = 2*p - 3*v - 0. Let s be (-808)\/(-10) - p\/(-5). Is 12 a factor of (-3)\/2 + s\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640 = 182*m + 242 + 392 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 - 201. Suppose m*n - 3*q - 115 = 0, 3*n - 3*q + 109 = 5*n. What is the least common multiple of 2 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496255 is divided by 6281.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 6*v. Let d be r(7). Let h(j) = 3*j - 5*j + j - 2 - 2. What is the units digit of h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 299*w**2 - 298338*w + 298338*w. Let i(p) = -2*p. Give i(j(t)).\nAnswer: -598*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4979 - 7993. Suppose 3*k = 3*a + o, 3*k = -3*a - 2*a + 3219. List the prime factors of k.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/920, 2, 5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169*j**2*m + j**2 + 320*j with respect to m.\nAnswer: 169*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**3 - 6*y**2 - 4*y. Let x(z) = -9*z**3 + 7*z**2 + 4*z. Suppose 4*q = -4*h - 17 - 19, q - 15 = 3*h. What is h*x(r) - 7*i(r)?\nAnswer: -2*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84*9\/324)\/((-2)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 487570, 487505, 487428, 487333, 487214?\n\"Answer: -n**3 - 58*n + 487629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (24 + -40 + 6 + -51).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.705 - -3.905. Which is the closest to d? (a) 0.1 (b) -2\/13 (c) 278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10*(-3)\/3)\/(-2). Suppose -5*v + 130 = 2*o + 2*o, -l = -v - 5*o. Let g = -21 + v. Are 8 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 = -3*h, 7*b = 1574*h - 1572*h + 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378823641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 1, r: 1, b: 1, p: 1}. Give prob of picking 1 v, 1 p, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1022021120120?\nAnswer: 1022021120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -2 (c) 14 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -312 + 342. Calculate the remainder when 261 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 783, 1541, 2299, 3057, 3815, 4573?\nAnswer: 5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 25*k + 10*k. Sort -6, 0.4, k, 2 in increasing order.\nAnswer: -6, k, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 6*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230967840 divided by 120.\nAnswer: -1924732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 16 = -3*s, -5*s + o = -31. Let r be (s\/4)\/(5\/(-10)). Let j be (r - (-1 - 0))\/2. Put 2, j, -7 in increasing order.\nAnswer: -7, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19506950399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1715553 and 626.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -1351, -2184, -3019, -3856, -4695, -5536?\nAnswer: -6379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -23 + 7. Solve 4 + l = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30957 rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1203*i - 146. Let d(w) = 603*w - 74. Let l(z) = 13*d(z) - 6*s(z). Differentiate l(p) with respect to p.\nAnswer: 621","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/14 (b) -2 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -135*((-33)\/9 - -3) + 1. Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0 in ascending order.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.53 - -0.47. Let o = h - 43. What is the nearest to -1\/2 in o, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -25. Suppose -w*s + 4*v = 13 - 5, 10 = 2*v. Calculate the remainder when 8 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5\/7 - 176*b**4\/7 + 310*b**3 + 76844*b**2\/7 + 277056*b\/7 - 876096\/7 = 0.\nAnswer: -9, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1215 - 695. Suppose 0 = -22*s + 1845 - 7257. Let c = s + t. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 39*d**4 + 18*d**4 + 2*d + 12*d**4 + 2 + (2*d**2 + 0*d**2 + d**2)*(-14*d**3 - 5*d**3 + 6*d**3) + 2*d**4 - 2*d**4 + 2*d**5.\nAnswer: -39*d**5 - 9*d**4 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874 = 61*f + 203. Calculate the remainder when (-64)\/704 - (-320)\/f is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 381?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100012200212222112 - -11?\nAnswer: 100012200212222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 1271\nAnswer: -52\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.2 + 25. Let b be ((-6)\/(-3))\/((-2)\/(-4)). Let v be 4\/(-4)*(1 - b). Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 17*q**2 - 29*q - 21. Determine d(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/848 and 13\/42604.\nAnswer: 9032048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 + 10*s**4 - 12*s**3.\nAnswer: 2*s**3*(s - 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 749 - 893. What is the units digit of ((-1436)\/(-16))\/(2\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -379560*f**3 + 285*f**2 - 285*f - 285. Let c(j) = 2673*j**3 - 2*j**2 + 2*j + 2. Give -285*c(n) - 2*o(n).\nAnswer: -2685*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2111302 + 122431?\nAnswer: 2234233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572 divided by 143.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 27\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p - 32 = 0. Calculate the remainder when 14 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1551*z + 74234. What is k(-48)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 53*w + 7. Calculate h(18).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*b + 0*b = 10, 4*c - b = -13. Let j = 9 - 13. Let f be j*(-2)\/4 - -3. Sort f, 3, c in decreasing order.\nAnswer: f, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*q + 14, 3*x = -5*q + 10*q - 34 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 44, -0.4, 6, -5, -1, 38?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/25819 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-3 + -8*18). Does 14 divide 2 + (g - (-7)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 24. Let q = 37 + k. Let j be (-41 + 2)\/((-2)\/2). Calculate the greatest common divisor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 21*i + 24. Let f be s(22). Solve f = 2*c - 3*v + v, -6 = -3*c + 2*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012042 is divided by 1132?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31870 - -31864. What is the closest to -0.3 in 15, f, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-10))\/((-16)\/(-40)). Suppose -6 = -v*s + s. Calculate the smallest common multiple of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 12 (b) -5\/7 (c) 2\/25 (d) -1 (e) -3 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (12151 - (-1 - -4)). Suppose 180*p = 178*p + h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324958206 less than 324958206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-38))\/s)**(-31) assuming s is positive.\nAnswer: s**(-1178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 9. Let k be b(5). Suppose 1 + 11 = k*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3290\/13869 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 5226066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = r + 6, 3 = -5*r - 0*r - 2*h. Let f be (-1)\/2 - r\/(-2). Sort f, 4, 1 in increasing order.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - r = -3, 2*n - 5*r - 10 = -3*r. Suppose -3*p + m - 27 = -110, -2*m + 104 = n*p. What is the remainder when 215 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u + 204 = -49*u + 84 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhllhhlhhhhlh. What is prob of picking 3 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7756480598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.099 and -353.\nAnswer: -34.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 402701909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -495730 to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34131 + -1400341?\nAnswer: -1440022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -3073*z**5\/5 - z**4\/6 + 5*z**2. Let f be g(-4). What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/24 - 3*o**2. Let q(z) be the second derivative of -5*z**4\/6 + 126*z. What is c(q(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 202, 822, 1858, 3310, 5178, 7462, 10162?\n\"Answer: 208*n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(4\/7))**20 assuming j is positive.\nAnswer: j**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-231)\/(-22)) + 2\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15*(3232\/(-192) - -6)*-6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -21278*y - 85192. Determine i(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 6. Let d(v) = v**3 + 7*v**2 + 5*v - 4. Let w be d(-6). Suppose -n*a = -w*a - 4. Solve -a*f - 2 = -2*q, 2*q = -0*q - 3*f + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10870 and 5\/100004.\nAnswer: 500020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -248.5706 + 0.0706. Let p = c + 248. What is the nearest to 1 in p, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 4:53 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3630 * -282.\nAnswer: -1023660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 + -57)\/16*1)\/(-1 - -14).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -386*y + 48851*y**4 - 48852*y**4 - 321*y + (2*y + 4*y - 4*y)*(y**3 + 0*y**2 + 0*y**2).\nAnswer: y**4 - 707*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 + 3. Let m be o(-6). Suppose -b = f + 7, 0 = -m*b + f - 3*f - 17. Let j = b - -19. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7 at most as big as -3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16490758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17496 and 7398.\nAnswer: 2396952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4809 + 4371.2. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 51099918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**3\/6 - 3*p**2\/2 + 2*p. Let t be l(8). Solve -2*y + t*h = h + 10, 0 = 3*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -797276, -796995, -796714, -796433, -796152, -795871?\n\"Answer: 281*l - 797557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 103\/25, -3.49, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68680303*o**4*q**2 - o**4 + 467423*o**2*q - 5*o*q**2 + 3 wrt o?\nAnswer: -1648327272*o*q**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -46*o**2 + 35*o + 46. Give x(12).\nAnswer: -6158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 39 - 591. Suppose -15*n + 20*n - 5*k + r = 0, 0 = -n - 3*k + 14. Suppose x - s = -5, 5*x - 13 + 6 = -3*s. Is n > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*a + 218*a - 665*a + 223*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -687834.\nAnswer: -19947186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 440*k**2 + 1 - 339*k**2)*((-2*k + 0*k + 4*k)*(-1 + 4 - 2) + 3*k + 4*k - 5*k) + k**2 - k**2 - k**3.\nAnswer: 403*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22378818 is divided by 1435?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:58 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20886 + -20887. Sort -3\/7, 15\/8, 0, v, -0.4 in ascending order.\nAnswer: v, -3\/7, -0.4, 0, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 5*s**3 - 9*s**3 + 8*s**3 - 20*s**3 - 10*s**3.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)*4\/(-6). Suppose -4*l + 5*n - t*n = 14, -23 = 5*l - n. Let h be l + 8 + (0 - -2). Solve 2*a - 3*a - k = -1, 2*k = -h*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9932 and 5348.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:20 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1116323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/4 - 99706127*u\/2 - 9941311761340129\/4 = 0?\nAnswer: -99706127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + 2*2*sqrt(156) - sqrt(156)) - 3*2*sqrt(156))\/(1*sqrt(108) - (sqrt(12) + sqrt(24)\/sqrt(18))).\nAnswer: -27*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 752113629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 50*i - 5*s = 104, -i = -4*s - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*q = 43*q + 15. Suppose -u + 9 = -q*g, 2*u - 5*g - 3 - 10 = 0. Solve 3*a = -4*x + 11, 0 = -a + u*x - 4 + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(6\/24). Suppose a + 3 = f*a. Suppose a*b + 2621 = 31121. What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 34*w. Let q(o) be the first derivative of -8*o**2 + 1545. Determine u(q(p)).\nAnswer: -544*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -15 - 1. Suppose -5*g - k*w + 341 = 0, 4*g - 73 - 205 = 2*w. Suppose -2*b - q + 5*q = -66, 3*b + 4*q - g = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v**2 + 8 + v**3 - v - 20 + 0*v. Let w be a(-14). Solve -2 - 6 = w*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -144 + 472. Suppose -10*z - 119 = b. Let q = -4 - z. Solve 3*j = q, 0 = -m - j + 4*j - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 14 = 3*s, -4*s - 22 = -14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.49 - 85.525. Let y = -17.783 + -0.217. Let n = y - t. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57285.4719338 + -57284.79. Let b = k + -0.682. Round b to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 + 2*w**2 - 3*w. Let i be (18\/(-15))\/(6\/20). Let q(h) = h**3 - h**2 + h - 1. Let n(c) = i*q(c) - y(c). Calculate n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z**3 - 11*z**3 + 2*z + 2*z.\nAnswer: 43*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54958 - 345758 = -8*q - 10*q. What are the prime factors of q?\nAnswer: 2, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**7\/105 - 2*i**6\/25 - 2*i**5\/25 + 17*i**4\/15 + 17*i**3\/5 + 4*i**2 - 6*i - 72. Factor j(x).\nAnswer: 2*(x - 5)*(x - 4)*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*x + 4 = 0, 0*x - 3 = -5*p - 2*x. Suppose 5*a = 1348 + 607. Is -2 - (p - 3 - a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134993759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-306) + (-7)\/(119\/(-1902)). Let f = 118 - v. Suppose 0 = -f*a - 200378 - 27622. Round a to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(1\/(-6) - (8 + 602\/(-84))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1147.810247 - -0.3\nAnswer: 1148.110247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (2 - (-2 - -2)). Solve 3*o + i = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*a + 42, -2*a + 3*a - 5 = -2*l. Let o be 1\/3 + 213\/a. Let f be o*(5\/3)\/5. Calculate the greatest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/49)\/q))\/q)**28*(q*(q\/q**(-23)*q)\/q)**(-50) assuming q is positive.\nAnswer: q**(-8546\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509584421.\nAnswer: 347, 1468543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1391, 1379, 1353, 1307, 1235?\n\"Answer: -a**3 - a**2 - 2*a + 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4 + 308*a**3 - 8*a**2 wrt a?\nAnswer: 24*a + 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1011 and 87.\nAnswer: 29319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 11*v - 7*v. Let x be v\/(-2) - (-3)\/(-6). Which is the smallest value? (a) 3 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*u + 301*u - 1150 = 0. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 5 - 5)*(-2*m - 2*m + 2*m)*(2*m + 2 - 1 + 2*m) as p*m**2 + n + s*m**3 + x*m and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4464, -8815, -13166, -17517?\nAnswer: -21868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186120 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -7\/5*i**2 + 177 - 8\/5*i + 1\/10*i**4 - 4\/15*i**3. Solve w(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 2\/5, 46789, 4\/5, 7\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87443747?\nAnswer: 7219, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < -0.01555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1813 - -1813.3004. Let z = -44 + 44.29. Let d = z - g. Round d to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/638 and 151\/364530.\nAnswer: 4009830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((14\/12)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*q = -4*q + 53, 5*q = -2*p + 40. Let a = 9 - p. Let v be 0\/(2*3\/a). Solve v*u + u = -2*g - 6, 6 = -4*u - 2*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (0 + sqrt(612)*2 + sqrt(612)) - (-4 + (-1*sqrt(612) + sqrt(612) - sqrt(612) - sqrt(612))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 2. Let c(u) be the first derivative of -u**2 - 44*u + 52. Let r be c(-24). Suppose 10*b + 12 = r*b. Calculate d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*y - 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.03, -3, -0.5, 0.5 in decreasing order.\nAnswer: 0.5, 0.03, -0.01, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 5*c - 3\/2*c**2 - 197. Let y = -5 + -1. Give j(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:10 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17960 + 17959.893. What is the closest to 21 in -1\/3, s, 1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2. Let i(h) be the first derivative of -h**2 + h + 2. Let a be i(-2). Suppose -9*t = -a*t. Determine k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1626.92 - -1627. Which is the nearest to 0.02? (a) -1 (b) 2 (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**3 + y**2 - y + 1. Let s(u) = 87*u**3 - 2994*u**2 + 1003992*u - 111779100. Let g(z) = -12*a(z) + s(z). Factor g(n).\nAnswer: 3*(n - 334)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2624 and 71196992.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36526449 or 36526447?\nAnswer: 36526447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4 + 58*x**3 - 134*x**2 + 90*x + 829. Factor r(m).\nAnswer: 2*(m - 1)*(m + 45)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 37*o - 110. What is y(34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 0. Let j be (q - 1) + 0\/5. Let a = -2 + j. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*h**2 - 4620*h + 4620*h - 3*h**3 to q*h**3 + v*h**2 + d*h + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**3 + v**5 - 5*v**3 + 12*v**3 - 6 + (v + 2*v**3 - v)*(2*v**2 - 27*v + 27*v).\nAnswer: 5*v**5 + 2*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*(44\/8 + -5). Let l = -0.1 + -0.4. Which is the third biggest value? (a) -0.6 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*x - 728 = 376 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from ssasasacsssacc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4797439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.36 rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 500 = -252. Let n = -186 - f. Which is the nearest to -8? (a) -1 (b) 3\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 97445?\nAnswer: -2\/97445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 9*p - 11. What is the remainder when 68 is divided by d(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 3) + 2\/(-2). Let n = -1 - c. Suppose 2*w = b + 2, -b + 5*w - 11 = -n*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -221*r + 22552. What is f(102)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 48 + (5 - 1 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (-1*sqrt(931)*-1 + 5*(sqrt(931) + 1*sqrt(931)))**2.\nAnswer: 112642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - (2 - 1)) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3649 + 3649.02. Which is the nearest to j? (a) 1\/3 (b) 0 (c) -19\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 76*f + 1006. Does 121 divide h(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829464794 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/250 - (-616)\/(-1050))\/(1\/(-12)). Let z(v) = 13*v + 8. Calculate z(s).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 12*y + 16 = 8*y, 2*b = -22*y - 88 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 21*l**2 - 25*l - 75. Calculate the remainder when z(-20) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (105\/30 + -6)\/((-5)\/8). Solve -5*j + i*s = -27 - 8, 3*j - 2 = -2*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17192163\/359 + -47889. Let p = 4427\/7180 + d. Let c = 1\/65152 + 1058701\/1237888. Find the common denominator of p and c.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (784 - 6\/(-2))\/((-1)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 6*a. Let b(s) = -6*s**2 - 7*s. Let x(u) = 6*b(u) + 7*w(u). Let m(j) = j. Give m(x(l)).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 239 - 239.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112202210 (base 3) in base 2?\nAnswer: 10001000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -m + 9, -900*m + 912*m - w - 75 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339186 is divided by 169590.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 302 times -0.17\nAnswer: -51.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8*f - 12 = 0. Let d = -6 - -10. What is the first derivative of 3*y**d + 0*y - 1 + y**f + 0*y wrt y?\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 + 3 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11675, -11694, -11733, -11798, -11895, -12030?\n\"Answer: -l**3 - 4*l**2 - 11670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, 11, 23, 29, 29, 23, 11?\n\"Answer: -3*g**2 + 27*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 1, y: 5, h: 6, s: 3, f: 3}. What is prob of sequence sh?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-18\/5)))**(-2\/3) assuming n is positive.\nAnswer: n**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - y - 4*y**3 + y.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 27\/(-12)*2527\/(-21)*(-8 + 24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = -40*i + 14*i - 2120 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 48 = 2*k. Let d(m) = m + 3. Let u(n) = 4*n + 11. Let b(v) = -9*d(v) + 2*u(v). Suppose 14 = -4*t + 2. Let y(c) = -6*c - 26. Give k*b(r) + t*y(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004470353 to 5 decimal places.\nAnswer: -0.00447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4 - q**3\/3 + q**2\/2 - q - 1. Let k be -4 + 2 - (-1 - 1). Suppose -2*p = -w + 1, k = -2*w - w - 4*p + 3. Determine m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13589765, 27179527, 40769289?\nAnswer: 54359051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 - 3285*r + 695107 = 0.\nAnswer: 499\/2, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8 + 1)*(262*m**4 + 14 + 49 - 258*m**4) in the form t*m + o*m**4 + c*m**2 + h + d*m**3 and give h.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 14. Suppose 4*l - 12 = -0*l. Suppose -5*k - 19 = -3*q + 2*q, 3*k = l*q - 21. What is the smallest common multiple of q and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8837 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: Express (3*l**3 - l**3 + 0*l**3 + (-2 + 2 + l)*(-2*l**2 + 4*l**2 + 0*l**2))*(156*l + 143*l + 26*l) in the form v*l**4 + y + p*l**3 + c*l**2 + t*l and give v.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4791922 + 9951922. Round x to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:17 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4149 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278075 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1486*r**4 + 6*r**3 + 39*r**2 - 174*r wrt r.\nAnswer: 35664*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 882101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m**2 - 7*m + 73. Let z(u) = -15*u**2 - 11*u + 109. Calculate 8*j(r) - 5*z(r).\nAnswer: -5*r**2 - r + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 23*u**5\/30 + 5*u**2. Let j(b) = 2*b. Determine j(k(i)).\nAnswer: 92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 59 - 3 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -64 + 1\/10*f**5 + 1\/2*f**2 - 1\/12*f**4 + 2*f - 1\/3*f**3. Factor j(i).\nAnswer: (i - 1)*(i + 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -3*i**5\/20 + i**3\/2 + 14*i. Factor b(m).\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -246 or -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 + -490 + (-278)\/20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84065\/88 or -2?\nAnswer: 84065\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:12 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 take away -12.06?\nAnswer: 252.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(-6009)\/(-9)*(-3)\/10*5?\nAnswer: 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4153 and 3.\nAnswer: 12459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkkppnfffkknpnpf. Give prob of sequence nn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 5*k**5 - 3*k**5 + (3*k**2 - 3*k**2 - k**3)*(-3*k**2 + 3*k**2 - k**2).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -247*g**2 - 4453*g - 123. Give k(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 205.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -2.63 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 9, v: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.02, 1\/2, 0.2, -3\/161, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 3*w + 12. Let h(z) = -9*z**2 - 5*z + 25. Let x(d) = 7*c(d) - 4*h(d). List the prime factors of x(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200946038 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 - 92) + 78 + -54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18058 + -18053. Let n(v) = -4*v - 6. Let l(x) = -5*x - 7. Determine m*l(j) - 6*n(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 0*o**5 - o**4 + 2*o**3 + o**4 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0.0507.\nAnswer: -1.0507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-3)\/1) + 3. Suppose -5*b + 60 = -0*n - 5*n, -d*b + 3*n + 28 = 0. Suppose b*k - 15 = 3*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/112*8)\/((-2)\/28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4633771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*z = 76*z + 2840304. What are the prime factors of z?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-32 + 9 - -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3925*t + 2318.\nAnswer: 3925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:45 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.2. Let u = 18\/1627 - 1699\/6508. What is the nearest to 0.2 in -5, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, r: 2, e: 4, v: 1, k: 4, h: 1}. What is prob of sequence rkev?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.22 in -1\/2, -13.3, -4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 284879?\nAnswer: 284876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2127 and 77\/1920.\nAnswer: 1361280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1993 + -2010. Let r be 2\/((32\/(-6))\/1). Which is the closest to 0.1? (a) v (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 4. Let s be u(-7). Find the first derivative of -1 - 10*q + 14*q**s - 9*q + 19*q wrt q.\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24*(79995 + -4 + 9). Round b to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -11*t**5\/20 + 2*t**2 + 9*t. Differentiate z(u) with respect to u.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 1512.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 - 121. Let k = 18 - j. Let o = -356 + k. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 8 (c) -2827 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830993.13ns to hours.\nAnswer: 0.000000230831425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/280930 and 51\/24856?\nAnswer: 268569080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 9*u - 8. Let o be p(-7). Let q be 4\/(-18) - 9390\/o. Is (q\/(-30))\/(1\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22313 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/((-8)\/(-32)). Suppose -p*r = -11 - 1. Suppose -5*b + 24 = -1, -b = r*n - 35. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25359 is divided by 317.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859180 is divided by 4338?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -18 - (42 + -45).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - r**2 + 9*r + 4. Let b be a(-4). Let z = -41 + b. Let y = 92 - z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-1))\/(-1 + 0). Let t(c) = c**2 - 1. Let h(z) = -5*z**2 - 4*z + 4. Let g(s) = w*h(s) + 4*t(s). Find the second derivative of g(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181.2981256 - -178.29813. Let l = -3 - p. Round l to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.69 - -1.31. Let u = -47\/140 - -3\/35. Let w be 49\/14*2\/4. Which is the nearest to v? (a) u (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 3*t - 3*t - t + 2 - 2 + (0 + 0 + t)*(5 - 4 + 1))*(9 + 0*t**3 + 2*t**3 + 2).\nAnswer: 6*t**4 + 33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:20 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = 65*c + 4892 + 1060 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -411, -5 in decreasing order.\nAnswer: 0, -2, -5, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 3*a**4 + 16*a**2 + 0 + 0*a - 73\/6*a**3. Find the first derivative of z(g) wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/180*(-5)\/(-20)*6.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3372, 6357, 9382, 12465, 15624?\nAnswer: 18877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 20*r - 24. Let u be a(18). Let c be (-3 - -35)*9\/u. Solve y = 6*g - g + c, -5*g - 5*y = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:38 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3872.41485 rounded to the nearest ten?\nAnswer: -3870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c - 50*c - 50*c - 47*c + 188*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 4 + 3 + 0 + -14 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225673*w**2 + 225673*w**2 - 107*w**3.\nAnswer: -107*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2771692 + -2771751.99956. Let z = 11 + -71. Let y = d - z. Round y to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-24))\/((-20)\/30))\/(2\/66)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2\/7 + 3759543*u\/7 - 537078 = 0. Calculate u.\nAnswer: -1253182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2107, -4274, -6475, -8716, -11003, -13342, -15739, -18200?\nAnswer: -20731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 54 - 57 + 124*q.\nAnswer: 124*q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -11*s + 10*s. What is the tens digit of (14\/91 + 4873\/s)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 62 - 204. Let g(a) = -a**2 + 17*a - 46. Calculate the remainder when t is divided by g(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1 + -2 + (4 - 3)). Let k(n) = n**3 + 5*n**2 - 5*n - 5. What is the remainder when (-59)\/(b*2\/2) is divided by k(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1283 = -5*i - 2*k - 401, -358 = i + 11*k. Let o be -473 + 1\/((-2)\/4). Let a = i - o. List the prime factors of a.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -81*p**3 - 10*p**2 + 2*p - 10. Let h(c) = -81*c**3 - 8*c**2 + 2*c - 9. Let b(f) = -5*d(f) + 6*h(f). Is b(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-5)\/10) + 4. List the prime factors of (t - 0)\/(2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122067490, 122067491, 122067492, 122067493?\nAnswer: 122067494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/9)\/2 - (-1612)\/279. Solve -5*g = -3*g - 2*t, 3*t + i = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let s be f(-3). Suppose 0 = 6*v - 10*v + 4. Sort s, v, 4.\nAnswer: v, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 141802, 283375, 424948, 566521?\n\"Answer: 141573*r + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11055227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 13*o**2 - 11*o - 124. What are the prime factors of w(-11)?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -19*t**2. Let c = -12 - -8. Let v(h) = 3*h**2 - 4*h. Let s = 32 - 25. Let o(n) = 5*n**2 - 7*n. Let g(w) = c*o(w) + s*v(w). What is l(g(b))?\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38\/(-133))\/((-1)\/399). What is the highest common divisor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d + 2 + 5444*d**2 + d - 5440*d**2. Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s - 21267*s**2 + 10*s + 3*s.\nAnswer: -21267*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-1 - 0) + (6 - 6). Let f be 18 - 8*(75\/(-10))\/15. Solve z = -3*j - f + 34 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-118153299\nAnswer: -472613196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.406 + -12.\nAnswer: -21.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -10bc?\nAnswer: -10b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-2)\/(-3))\/1)\/(30\/(-135)). Let w(t) = t**2 + 2*t - 6. What is w(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 4. Let z be ((-8)\/28)\/((-3)\/m). Suppose -z*g - 7400 = -g. Round g to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let i = -18 - -18. Solve q - 6*q - 3*c + 6 = i, -p*c + 6 = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86019 is divided by 384.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 13. Let p be b(6). Suppose 0 = -a + p*a - 72. What is the highest common divisor of a and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 93.3. What is the smallest value in -3\/2, 0.2, -4\/3, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:51 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(1 + 0 + -2). Suppose -4*k - 28 = 4*w, -4*k + w = -3*w + u. Put -1, 3, k in descending order.\nAnswer: 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, v: 6}. What is prob of picking 2 s and 2 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1916 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4668542 from -25713.\nAnswer: -4694255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000673497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/52008237 and -161\/78.\nAnswer: 1352214162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**3 + 0*y + 11*y**3 + 3*y + 2 - y**3 to b*y**3 + s*y + o*y**2 + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949584 and 13578.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from ffccffecfrerccuc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*2*sqrt(76))\/(sqrt(8)\/sqrt(2)*-4*2).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2204 + 1?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 3*a**3 + 3*a**3 + (3*a - 2*a + a)*(-5*a**2 + 2*a**2 + a**2) - 2*a**3 + 4*a**3 - 4*a**3)*(9354 - 9354 + 630*a).\nAnswer: -630*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -20. Let j(r) = -r**3 - 15*r**2 - 16*r - 6. Calculate the lowest common multiple of j(v) and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 2, 6, -7, -2 in descending order.\nAnswer: 6, 4, 2, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004377671422 rounded to 6 dps?\nAnswer: 0.000438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 155*m. Let k(h) = -6*h**2 - 4*h + 182. What is n(k(g))?\nAnswer: -930*g**2 - 620*g + 28210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-37)*-9*8\/(-5616).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/489 - 10267\/978. Let l be (-60)\/(-28) - (-12)\/(-84). Find the common denominator of ((-171)\/399)\/(l\/147) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*z**4\/4 - 4569*z**3\/4 + 11439*z**2\/2 + 8856*z + 1944 = 0 for z.\nAnswer: -1, -18\/67, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-24)\/15)*30\/9. Let y be (4 + 4)\/(-4) + p. Suppose 0 = -y*w - 6*w + 876. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(187) + sqrt(187))*3 + sqrt(187))\/(3*(sqrt(11) + sqrt(11)*2)).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 5*p**2 - 5*p + 4. Let f be s(4). Suppose 2*u - 5*u - 6 = f. Let d be 5 + 0\/u + -3. Solve 3 - d = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39961.86 meters in centimeters?\nAnswer: 3996186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2518, 5, -45 in ascending order.\nAnswer: -2518, -45, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 203*o - 5. Let n be z(-2). Calculate the common denominator of (-14)\/35 - n\/40 and -31\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64431?\nAnswer: 3, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 38*p**2 - 33*p + 488. Calculate q(-37).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 + 1436280*x + 103145011920 = 0.\nAnswer: -143628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcctftcctrf. Give prob of picking 1 t and 1 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1289819 or 29665851\/23?\nAnswer: 29665851\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 938*x**3 - 3*x**2 - 5694*x?\nAnswer: 5628*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, 9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let t(u) = -130046747*u**2. What is x(t(l))?\nAnswer: -16912156405282009*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a week in hours?\nAnswer: 2226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**5\/4 + y**4\/12 - y**3\/3 + y**2\/2 + y - 4. Let x(w) be the first derivative of h(w). Calculate x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.278 and -0.2?\nAnswer: 1.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 e when three letters picked without replacement from gnpepnpnnnelnpngnly?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352677.\nAnswer: 127, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.157225 months to years.\nAnswer: 0.17976875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45746939 divided by 7?\nAnswer: 6535277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 - -2. Let n = -20054 - -20051. What is the biggest value in n, -2\/3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 394358 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1256 - -0.5256. Let m(o) = o**3 - 7*o**2 + 6*o + 1. Let w be m(6). Let d be (w\/(-4))\/((-3)\/4). Which is the closest to d? (a) 0.5 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -785, -1837, -3319, -5237, -7597, -10405?\nAnswer: -13667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*j + 2608 = 88*j. Calculate the remainder when j is divided by 74.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5558*d - 2326 wrt d?\nAnswer: -5558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 932 - 930. Which is the second biggest value? (a) 0.07 (b) i (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*d + 9, -5*b - 7*d = -2*d + 15. Solve 21*l + 34 + 8 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 1\/112*l**8 + 0*l**3 - 7\/20*l**5 + 6*l**2 + 9\/40*l**6 - 1\/14*l**7 + 0*l + 0 + 1\/4*l**4. Factor y(b).\nAnswer: 3*b*(b - 2)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*w + 13, -2*f - 14 = -3*w - f. Factor 0*r**2 - 4*r**4 - 3*r**2 - w*r**2 - 10*r**3 - 2*r**2 - 2*r.\nAnswer: -2*r*(r + 1)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/8 - (12996\/(-1440) + (-2)\/(-5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:30 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 193, 384, 521, 580, 537, 368?\n\"Answer: -4*n**3 - 3*n**2 + 228*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -24.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-3) + 4\/6. Let x = 0 + -1. Let z be -2 + 4 - (-13)\/(-6). Which is the closest to x? (a) z (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 7 - 9*m - 5*m**4 + 0*m**4 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17178.29mg in grams?\nAnswer: 17.17829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2. Let d(r) = -26949*r**2. Calculate w(d(n)).\nAnswer: 3631243005*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 + y**2 + y + 1. Let q be (-2 + 2 + 2)\/(-2). Let f be i(q). Solve -f*l + 10 = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4971849t in kilograms?\nAnswer: 497.1849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 52 = 9*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - g + 4*g - 25 = 0, 0 = 2*n + 4*g. Solve -4*d - 20 = -4*m, -3*m - d = d + n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*4 - (-1 + sqrt(847)))**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b. Let g(z) = 4941369*z. What is u(g(a))?\nAnswer: -39530952*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (15 + -17) - 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 31, 16\/3, -2, -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125934 = -8620*s - 7854 + 54320 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - ((-10)\/2 + (5160\/(-36))\/10). Solve 2\/3*y**2 + u*y + 200\/3 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 37*s + 218, -3*q - 20 - 7 + 14 = -4*s for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + (-320)\/(-30))*(-3)\/(-2). Suppose u - m = 3, 9*u + f = 8*u - 3*m. What is the remainder when 14 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9111930 and 210.\nAnswer: 63783510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -41.8. What is the smallest value in -4, 1\/2, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2819895 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 2. Let f be l(-4). Let z(d) = -23 + 23 + 3*d**f. Let v(h) = h. Give z(v(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 1819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l**2 - 2)*(2 + 0 - 3) + (6*l + 0*l + 4*l)*(0 + 2 + 0)*(103*l - 100 + 100).\nAnswer: 2061*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + o**3\/6 + o**2\/2 - 3*o. Let g(h) = 12923*h**2 + 1 - 12921*h**2 - 4*h - 2. Give 4*b(l) + g(l).\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -1\/2 (c) 0 (d) 3\/2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30599\/2 + 14971. Let b be 0 - -674*(-2)\/(-4). Let d = s + b. Find the common denominator of d and 31\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 4 (b) 0.1 (c) -0.3 (d) 2 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12275 + 12273. Let g be 2\/(0 + -4)*0. Let z = 1.1 + -0.1. What is the fourth smallest value in z, g, m, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-595)*(-20)\/12*183\/2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = 4*p - 20*i - 20, -p - 2*i = 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(51*n**3 - 4*n**3 + 66*n**3) + 3*n**3 + 0*n**3 - 4*n**3.\nAnswer: -227*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 5)*(-3 - 2*z + 3)*(-1 + 2 + 2) + 2*z + z - z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/4017689 and -24\/28123823.\nAnswer: 28123823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 - q - 3. Let j(i) = -2*i - 4. Let p be j(-5). Let m = 4 - p. Let z(t) = 2*t**2 - 1. Determine m*g(k) + 7*z(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 12. Let a(d) = 4*d**3 + d**2 - d + 1. Let b be a(m). Suppose b*l - 104 = l. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22495\/203 + -767\/7. Let b = 6\/145 - w. Is 0 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -579*k - 142*k**2 + 318*k**2 - 850*k + 186*k**2 - 602*k wrt k?\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-6)\/10 + 7\/(-5)). What is the second derivative of -4 + 84*s**5 + n - 2*s - 138*s**5 wrt s?\nAnswer: -1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/60 + d**4\/24 + d**3\/2 - 2*d**2. Let r(b) = -1. Suppose -18 = v + 5*c, -c = -3*v + 2*v + 6. What is v*r(a) + x(a)?\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 31. Let s = l + -20.75. Let d = 0.05 + s. Put 0.2, -0.1, d, 4 in decreasing order.\nAnswer: 4, d, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.112949*-0.09.\nAnswer: -0.01016541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*g = -15 + 23, 2*g = -j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7878 + 7880. Suppose -3 - 6 = 3*l. Sort l, -10, g, -4 in increasing order.\nAnswer: -10, -4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12\/((-588)\/(-2401)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from kkkofqkokykqoyovyff.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17927513 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a factor of 1014044464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 378954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 3*h**8\/112 - 11*h**4\/24 + 3*h**2. Find the second derivative of o(q) wrt q.\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2288362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3 - 7*q**2\/2 + 4*q. Calculate the remainder when m(6) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13104882 and 147112.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l*(l\/(l\/(l*l**(-3\/4))))\/l*l)*l**(-5))\/(l**(-3)*l**5\/l))\/(l\/((l**(-2\/5)*l*l)\/l)*l**(-5)*l**(1\/8)\/(l*l\/(l*l**(-2\/3))*l)) assuming l is positive.\nAnswer: l**(107\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let g = 95 - 25. Let y(x) = 70 - g - 15*x**2. Determine y(j(o)).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l + 1. Suppose 3 - 6 = g. Let p = g - -4. Let z(m) = 5*m + 0*m - 5*m**2 - 2 + 5. Give p*z(r) - 4*o(r).\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 16. Suppose -3*h - 4 = -a. Calculate the highest common divisor of 16 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6940776*k**5*o**3 - 42*k**2 - 71*k*o**3 + 8*o**3 + o**2 wrt k?\nAnswer: 416446560*k**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let f(t) = -155*t - 11*t**2 + 155*t. What is f(d(n))?\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -1523*p**2 - 2304*p - 11631. Find the first derivative of x(j) wrt j.\nAnswer: -3046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36376 and 2800952.\nAnswer: 2800952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237323695*f**3 + 198477817*f**2?\nAnswer: 1423942170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/((-36)\/28 + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078606809 + 2?\nAnswer: 1078606811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48*(-24)\/(-13680))\/(4\/(-5))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 96 = -4*t, 2*t + 42 = 4*r - 56. What is the nearest to r in 0, 1\/7, 0.2, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -326, -4, 13 in descending order.\nAnswer: 13, -4, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/322 + 90\/(-40)*20\/(-210)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 183 - 16 = 5*v, -3*v = 2*s - 103. What is the remainder when (3 - (1 + 55\/10))*-18 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -143*v**6\/30 - v**5\/10 + 238*v**2 + v + 215. What is the derivative of p(a) wrt a?\nAnswer: -572*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - 11011111001001101001011?\nAnswer: -11011111001001101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.3 and 1066.73?\nAnswer: 12054.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = -5*a - 243. Let r be a\/(-175)*(7\/2 + 0). Solve -k + 3*b = -13, -r*b - 2 - 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160241.3 tonnes in nanograms?\nAnswer: 160241300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18)\/(d**(2\/23)*d))\/((d**(-13)\/d)\/d)**(19\/3))**(39\/7) assuming d is positive.\nAnswer: d**(68094\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - r**2 + r)*(r - r - r) - 692*r**3 + 17790*r**2 - 17790*r**2 in the form p*r**3 + g*r**2 + j*r + f and give p.\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 277, 276, 275?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o**5 + 552*o**4 + 2780*o**3 + 1680*o**2 - 6768*o + 1728 = 0. Calculate o.\nAnswer: -12, -6, -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 451158 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: Which is the second smallest value? (a) -4.7 (b) 1 (c) -4 (d) -0.5 (e) 7\/3 (f) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**2 - t. Let v(i) = 8*i**2 + 2*i. Let j(h) = 4*h**3 - 24*h**2 + 3*h - 13. Let b be j(6). Give b*z(w) + 4*v(w).\nAnswer: -3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 4 = -13*i. Let j be i*(-1 + 0)*-1. Solve j = r - 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 12. What is the units digit of i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1496 + 1496 - 63*y + 165*y.\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 0, -5*s - 21 = -4*w + 15. Let n(q) = -q**2 + 15*q - 4. Let m be n(15). Let p(f) = 4*f + 16. Let y be p(m). Sort y, s, 1.\nAnswer: s, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -33041?\nAnswer: 4\/33041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46358 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 2, c: 2}. What is prob of picking 1 h and 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 0 + -1 + 0. Let z be ((-4)\/(-10))\/(f\/(-10)). What are the prime factors of (-16)\/20*10\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 6*i - 63011. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(65)*2)\/(sqrt(25)\/(sqrt(15)\/sqrt(3))) + -4*((sqrt(13) - (-2 + sqrt(13)*-2))**2 + -3).\nAnswer: -472 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (sqrt(95) + sqrt(95)*2 - sqrt(95)))*-6)\/sqrt(5) + (1*sqrt(38))\/sqrt(2) + 2 - 5*(sqrt(2299)*2 + -5 - sqrt(2299)*-1*5))**2.\nAnswer: -19710*sqrt(19) + 2532004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(5\/7)\/c))\/(c\/(c*c*(c*c\/c**(2\/7)*c*c*c*c)\/c)))**7)**(1\/34) assuming c is positive.\nAnswer: c**(49\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 4*g**2 - 4*g**2)*(-1 + g + 1) - 19*g**4 - g**4 - 2*g**4 + 2*g - g**4 - 2*g.\nAnswer: -22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11770 times 0.2?\nAnswer: -2354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/60 + y**4\/24 - 11*y**3\/3 - 11*y**2. Let s be x(-9). Calculate the highest common factor of s and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 998, 1992, 2972, 3932, 4866, 5768?\n\"Answer: -d**3 - d**2 + 1004*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28792367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231072 + 0*r + 2*r - 230784 + 462194.\nAnswer: 2*r + 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1053)\/(-405) - (-1 - (-3)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a9b7 (base 14) in base 2?\nAnswer: 10010011110110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 743779.7 kilometers in centimeters?\nAnswer: 74377970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(2835) - -3*sqrt(2835)*-1))\/(sqrt(5) - sqrt(30)\/(sqrt(6)*-2) - (sqrt(180) - sqrt(180)*-2)))**2.\nAnswer: 16128\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(-83 - -79)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 12*q - 280 = 0. Let l(i) = -i**3 - 11*i**2 + 37*i - 7. Let a be l(q). What is the greatest common divisor of a and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 342\/(4 + -1) - (-9 - -8). Is ((-2438)\/g)\/(4\/(-530)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(153) + 1 + sqrt(17))*4)**2*-3.\nAnswer: -20448 - 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110202001321 (base 4) to base 8.\nAnswer: -24420171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(39)\/(sqrt(3)*-1))**2*2*6.\nAnswer: -120*sqrt(13) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-33\/7)\/z**(2\/65) assuming z is positive.\nAnswer: z**(-2159\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 - 5*j**2 + 110*j wrt j.\nAnswer: -12*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o - 44*o = r + 3*r - 16, 25*r + o - 122 = 8*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - 17)\/(3\/4056)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 353987 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/(2\/20). Let c be (-27)\/63 + 117\/(-21). Let h = x + c. What is the least common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 44*q + 42*q - 4243, 0 = 4*q - 20. List the prime factors of c.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -117.51. Let v = a + -0.42. What is the closest to 0 in v, -3, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -884*b**3 - 60*b**2 + 2021*b - 10. Let g(y) = -12*y**2 - 2. Let l(w) = 5*g(w) - t(w). Find the second derivative of l(q) wrt q.\nAnswer: 5304*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 418, -2, 150, -83 in descending order.\nAnswer: 418, 150, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 + 10.81. Let v = -11.8 + b. Let f = v + -0.6. What is f rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 1. Suppose 4*a + 9 + 11 = 0. Let z be 2 + (a - 0) - -4. Let t(n) = n. What is z*t(x) + b(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -12, 1\/3, 3, 1\/10 in increasing order.\nAnswer: -12, -0.5, 1\/10, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 7:39 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) 3\/5 (d) 2 (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2463139 * -5\nAnswer: -12315695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 56700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4753 is divided by 470.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x + 2*x + x - 1 + (-3 + 6 - 1)*(x + 5*x - 4*x) - 2*x - 2*x + 5*x to t*x + q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -24.7 (c) 0 (d) -0.2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 291 - 2*f**2 - 149 - 142. Let b(q) = -44*q - 3. Give s(b(n)).\nAnswer: -3872*n**2 - 528*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 - 2*t + 3. Let v(d) = -2*d**3 + 4*d**2 - 3*d + 2. Suppose 0 = 6*l - l - 10. Let y be (-1)\/(2*l\/(-8)). Let r be v(y). Calculate j(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*d**5 - 221298*d**4 - 93589510*d**3 + 7076972424*d**2 + 6491538215*d + 1479734850 = 0 for d.\nAnswer: -947, -5\/11, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 s when four letters picked without replacement from stssssttttsststs.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 437244611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100101111 + -100?\nAnswer: 1011100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1094*o - 458*o + 510*o - 6.\nAnswer: 1146*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49095 divided by -16365?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 11) to base 15.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 14. Let c = -360 + 358. Let u be 3\/c + 165\/a. Solve 2*k = 3*i - u, 2*k + 5*i + 4 = -2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 10*z + 12. Let p be t(-9). Suppose p*w = -4*x + 93 + 146, 0 = 5*w + 3*x - 413. Is (w\/(-3))\/((-6)\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyu when four letters picked without replacement from yuuuyayyamuymyaj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 3*w**8\/28 - 2*w**7\/35 - 4*w**6\/15 + 4*w**5\/15 - 8*w**2. Factor k(b).\nAnswer: 4*b**2*(b + 1)*(3*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noo. What is prob of sequence noo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.8 * 46.535.\nAnswer: -1526.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/((-3)\/(-33)*2). Suppose -3*l + d + p = 0, -4*l + 3*d + 2*d = -99. Suppose l = 5*a + 3*w, -5*w = -2*a - 0*a. Solve -b + a*b = 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4 + 3. What is the third biggest value in -0.4, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g**12*g*g*g))\/g**(2\/11))\/((g*g**(1\/76))\/((g**(-18)\/g)\/g)) assuming g is positive.\nAnswer: g**(-27751\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13385392, 13385400, 13385408, 13385416?\nAnswer: 13385424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 (base 5) in base 11?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -6 + 5 - -1. Suppose -9*w + h*w = -25. Let l be w\/2 - 4\/8. Solve l*j - 13 = 3*n, 3*n + 4*j = -24 + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011327 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (3 - 5)\/2. Let u(r) = -r**2 - 3*r + 4. Let o be u(-3). Let s(f) = o + f + 2*f - 4. Give s(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652\/24 + 1*(-2)\/12 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l**(-14))*l*l*l*l\/(l\/(l\/(l*(l**(-10)\/l)\/l)))*(l\/l**(1\/4))**(2\/17) assuming l is positive.\nAnswer: l**(1023\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 3*k = 0. Solve -15 = -k*m + 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 126. Let o(u) = -2*u + 189. What is -8*l(v) + 5*o(v)?\nAnswer: -2*v - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 647596 - 14897644\/23. Is h less than or equal to -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000405437 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose j = -3*z - 4*j + 12, 3*j = -5*z + 20. Let i = z - 2. Sort i, a, 4 in increasing order.\nAnswer: a, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.8693 days in seconds?\nAnswer: 39473507.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210901579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3633*h + 1830*h + 1828*h - 375 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**3 - 4*c**2 - 5*c - 9. Let n(i) = -3*i**3 - i**2 - 2*i - 3. Determine -7*n(b) + 2*z(b).\nAnswer: b**3 - b**2 + 4*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {u: 6, j: 3, w: 1, l: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose -m*w - p = -65, 2*w = -w - 5*p + 101. Let n = -42 + 90. What is the highest common factor of w and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:51 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 - 6 + 7*v + 7 - 4 + v**3 - 5. Let l be y(-7). Solve 5*p - l = -j - 3*j, j = p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8980*k + 341246. Give o(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 3*r + 8. Suppose -r*t + 3*t - 5154 = 0. Suppose -4*i - t = -5*y - 2*i, -5*i + 1020 = y. What is y rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -554?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252)\/sqrt(4) + (sqrt(252)\/sqrt(4)*5 + sqrt(63) - sqrt(63)))\/(-3*2*sqrt(36)) + -2.\nAnswer: -2 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 429809346.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9*-38.\nAnswer: -110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l. Let r(c) = -170*c - 1371604. What is v(r(z))?\nAnswer: -340*z - 2743208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m + 850 = -138*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-1*(-1)\/(-3)). Let r(s) = -s - 7. Let t be r(-4). Put -1, t, v in ascending order.\nAnswer: v, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14697*t**4 + 33746 wrt t.\nAnswer: 58788*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*v + 37*v - 21*v - 2*l - 34, 2*v - 3*l = 66 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 4\/5*q**5 + 0*q + 3\/4*q**4 - 2*q**2 - 7 + 1\/6*q**6 - 4\/3*q**3. Factor a(d).\nAnswer: d*(d - 1)*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*l - 170*l + 67*l + 28*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33645459.5 rounded to the nearest one hundred thousand?\nAnswer: -33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {p: 7, x: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 4 (c) 1\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -191452168.\nAnswer: -574356504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + d - 1 = 0, -7 = -7*p + 2*p + 3*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/60 - 239*b**4\/8 + 151*b**3\/2 - 366*b**2. Differentiate y(t) with respect to t.\nAnswer: 6*t**2 - 717","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, z: 4}. Give prob of sequence zh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17522 divided by -315.\nAnswer: 17522\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 37 - 46*f + 16 + 57*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/2469 + -15421\/20575. Let m = 61\/6 - 1537\/150. Let q = r - m. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 508*s - 76228. Calculate b(150).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3886 from 635.\nAnswer: -3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -815 >= -818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6058836 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380700 and 4380?\nAnswer: 27791100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5) + 952\/(-340).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxdfddtfdxtl. Give prob of sequence ldlx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0502 in -2\/71, -1\/2, 0.3, 1\/4?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**6\/240 - g**5\/40 + g**3\/3 - 3*g**2\/2 - g. Let q(a) be the first derivative of t(a). Factor q(n).\nAnswer: -(n - 1)*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**2 + 37*y**2 - 71*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-178)\/(-14) + 8\/28. Let k = 17 - y. Solve 0 = q + q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-1))\/(-4) + 2. Suppose -4 = -3*k + z. Suppose -17 = f - k*f + u, -62 = -4*f - 2*u. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21159883?\nAnswer: 17, 1244699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.1405719\nAnswer: -0.01405719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {w: 14, g: 1, u: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*q**3 + 211*q**3 + 260 - 261.\nAnswer: 151*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 12*x + 15*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from eeeeeeeeeeereeeeeee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**1*j)*j)\/j)**(-1\/3)\/(j**(-2\/9)*j*j**(3\/5))*j**3\/j*j\/(j*(((j\/(j\/(j*j*j**(-2))))\/j)\/j)\/j*j*j)*j**(1\/6)*(j\/j**(2\/3))\/j assuming j is positive.\nAnswer: j**(131\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/729)\/((-40)\/6)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*3*-4 - ((sqrt(363) + -1 - sqrt(363)) + -1))**2.\nAnswer: -528*sqrt(3) + 52276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:29 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31304344 + -30?\nAnswer: -31304424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/25*(-33)\/(429\/(-26))*-50?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1\/7)))\/v**11)**(-47)*(v**(-1\/3)\/(v**(-1\/8)*v))\/((v**(-4)*v)\/(v*v**(-4\/7))) assuming v is positive.\nAnswer: v**(88357\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 101. Calculate a(-10).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 14\/1135, 1 in ascending order.\nAnswer: 14\/1135, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -6*p + 389. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:34 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1729 - 1733. Let b = -5.73 + -0.27. Let o = b - -6.4. What is the third biggest value in 21, n, 1\/6, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**3\/7 + 1398*o**2 + 17144*o\/7 + 1050 = 0.\nAnswer: -1, -3\/4, 1225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389967457 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -7)*(-6)\/9. Solve m*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*g*q**5 + 2*g*q**4 + 5*g*q - g - 11*q**2 + 2*q + 93 wrt q.\nAnswer: -440*g*q**3 + 24*g*q**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**3*r - 2*a**3 - 18*a**2 - 3071*r wrt a?\nAnswer: -12*a**2*r - 6*a**2 - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*p + 3 = 0, -2*a + 4*p = -4*a + 10. Suppose 3*b - 42 = -a*d + 5*b, 0 = 3*b. Calculate the least common multiple of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and -7\/236?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 7*t**2 - 3*t - 5. Let i be b(4). Is i greater than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.2208 millimeters in centimeters?\nAnswer: 22.42208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 16 = -2*c, c + 5*t + 20 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2764, 2762, 2758, 2752, 2744?\n\"Answer: -u**2 + u + 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = -3. Let j(n) = -1. Let t(i) = 2*i**3 - 2*i**2 - 2*i + 20. Let y(w) = l*t(w) - 36*j(w). Determine a so that y(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 16, 1.\nAnswer: -16, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 1, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 3*n**3 - n**3 + (-3*n**2 + 6*n**2 - n**2)*(-3*n + n + n))*(1 - n**2 - 1) + (n - 2*n + 2*n)*(2 - 2 + n**4) + 4*n**5 - 6*n**5 + 0*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*n + 8*r - 135095, -180136 = -4*n - 5*r. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 100 + 62*d.\nAnswer: 62*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 3) to base 6\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2)*k*k**(-1\/7))\/(k\/k**(10\/3)*k**(-2\/21)\/k))**11 assuming k is positive.\nAnswer: k**(253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a - q = -5, -q + 5 = -3*a. Suppose a = -2*v + 2*t + t + 38, 0 = 3*t. Let n = v - 4. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13756.77 minutes to hours.\nAnswer: 229.2795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -4.42?\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-4))\/(-3))\/(2*(-31)\/((-4340)\/(-14))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10705 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*6\/(-16))\/(-12)*3\/(-18).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 318*n - 322*n. Suppose -4*w - 40 = -5*w. Calculate the highest common factor of n and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17883 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**3 - 5*z**2 - 6*z. Give i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/5 (b) -0.4 (c) 80.66 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**2 + 816344*c.\nAnswer: -4*c*(3*c - 204086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -245294 + 145294. What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 3*g**2 - g + 3. Calculate the lowest common multiple of m(0) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 326*y**2 - y - 326.\nAnswer: (y - 1)*(y + 1)*(y + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-31)\/(-124)). Suppose g + 336 = 5*g + w, x*g + 3*w = 168. Calculate the remainder when 265 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from afciiaiiai.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 5 (c) 335 (d) 0 (e) -18 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*p = p + 31, 2*k = -5*p + 30. Suppose 0 = -4*h + h - 3. Let a = k - h. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 44*n**3 - 9*n**2 + 29*n + 8. Let c(k) = 15*k**3 - 3*k**2 + 10*k + 3. Let z(s) = -17*c(s) + 6*m(s). What is the tens digit of z(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -18. Let f = 2.0000019 + r. What is f rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 10*h**2 - 14*h - 10. What is the tens digit of y(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2025 and 6?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -208369.168 rounded to the nearest 1000?\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 182 = v, v - 6*m - 187 = -3*m. List the prime factors of v.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21567 - -30712. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-5)*3\/6. Let u(a) = -2*a + 17. Is 17 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -35522?\nAnswer: 35535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 44*y - 4. Let a be s(6). Let g be a\/6*(-13665)\/(-10). Let b = 18215 - g. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 73?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 1. Calculate c(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2.57.\nAnswer: 5.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 3*t. Suppose 4*u - u = 5*f + 1746, t*u - 3*f - 1165 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2584220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4, z: 1, w: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1980)\/24)\/33*8\/5. Which is the closest to 0.1? (a) 791 (b) 1\/5 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002752166 rounded to 5 dps?\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -69, 5, 1, 4 in ascending order.\nAnswer: -69, -7, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/(-40) - 2\/4. Which is the smallest value? (a) 2 (b) 0.2 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 122697.09s?\nAnswer: 34.082525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - c - 102 = 457, -b - 4*c = -569. Find w, given that -5*w**3 - b*w**2 + 0*w**3 + 546*w**2 + 5*w**5 + 15*w**4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*g - 15, -4*d + 8*g = 4*g + 12. Let h(i) = d*i - i + 4*i - 4*i - 2*i. Let v(o) = o**2 - 34. What is v(h(u))?\nAnswer: 9*u**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z + 32. Let y = z - 61\/3. Factor 0 + 0*l - y*l**4 - 1\/3*l**3 - 1\/3*l**5 + 0*l**2.\nAnswer: -l**3*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-54))\/(572\/(-429)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*a = -171*a - 2040 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 360123 to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2.39, 0.2619, 0.2.\nAnswer: 0.2, 0.2619, 2.39, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0278528033 rounded to 5 dps?\nAnswer: -0.02785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*h + j - 62, -5*h - j - 88 = 0. Let f be (-31)\/6 + (-3)\/h. Let c be (-1 - f) + 580\/(-10). Round c to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.8 - -24.8. Let m = -4 - -11. Suppose -m*x + 9*x = 4. What is the closest to x in u, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 + 1)*(-42)\/42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 14. Let x be n(2). Let f = 8 - x. Is (-6)\/((-72)\/(-255))*f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 5*h - 1. Let r be z(-6). Let b = r - -11. What is the smallest common multiple of b and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77312.24 millilitres to litres.\nAnswer: 77.31224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 292 and 5168984?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 3*y - 6. Let i(a) = 4*a**2 + 8*a + 18. Suppose 3*o + 5 = 11. Let g(s) = o*i(s) + 7*q(s). Factor g(j).\nAnswer: (j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*o - 13 = 0, -2*x + 988*o - 974*o = -94 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1266*z**3 + 1056*z**3 - 2346*z**3 - 1894*z**3 + 329*z**3)*(z - 3*z + z).\nAnswer: 4121*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3295 and 165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 3 + 117. Let n be (1 - (-183)\/5) + (-8)\/s. Is 0 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -22*s**2 + 10*s**2 + 8*s**2. Let p(q) = 8*q**2. Give c(p(g)).\nAnswer: -256*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d + 1. Let u(w) = w**3 - 6*w**2 - w + 7. Suppose 5 - 15 = -h + 2*v, -3*h = -3*v - 24. Let q be u(h). Is l(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-15))\/((-4)\/(-30)). Let k be 1 - 2*(-9)\/r. Sort 1, -4, k.\nAnswer: -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87a + -1129?\nAnswer: -19a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*o = -o - 10, 2*n - o = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 2620*z + 2615.\nAnswer: 5*(z + 1)*(z + 523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254232355?\nAnswer: 5, 13, 73, 131, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 14.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 3*s**5\/20 - s**4\/24 - s**3\/6 - 134*s**2. Let u be n(-5). Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 4. Let f be (-2)\/(d\/(-4)*1). Let z(j) = j**2 + 2*j - 3. Let s be z(2). Solve 0 = 2*u - 4*w - f, 4 = 2*u - s*w - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-38)*w*w**34*((w*w*w**(-42)\/w*w)\/w)**(-3\/5) assuming w is positive.\nAnswer: w**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 740711 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -w - 5*o, 3*w + o + 25 = -4*o. Suppose 3*t = 6, -n + 2*t + 1 + 0 = w. Sort n, -4, 2, 6 in ascending order.\nAnswer: -4, 2, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 + (-5 - -10)) - (19 - 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 5. Suppose 0 = -q*w + 5, 19 = 3*x - 2*w - 6. Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13541252 (base 6) to base 13.\nAnswer: 133436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**2\/7 + 43191*i\/7 - 32400\/7.\nAnswer: 3*(i + 3600)*(4*i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 - 25\/(-10)) + 6)*0 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(288) + sqrt(288))**2 + 2.\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-180)\/(-1944)*2\/(40\/(-6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -44) + -26 + -67.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 13*s**2 + 14*s + 6. Calculate i(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h = -41*h - b + 15, -4*b = -h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1559370339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 40. Let x(a) = 3 + 2*a**2 - 10 - r*a + 4 + 2. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 59. Let m be 1\/(-2*(-3)\/k). Suppose -f + 3*y = -10, 2*f + 5*y = m*f - 61. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0365444um in meters?\nAnswer: 0.0000000365444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3)\/((-12)\/16). Which is the second smallest value? (a) y (b) 3\/5 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 24.9. Is 1\/12 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*j**5 - 2\/5*j + 4\/5*j**3 - 1\/5 - 1\/5*j**4 + 2\/5*j**2 = 0. What is j?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/36 and -11\/228?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 18 = 2*z + 10, 2*w - z = 14 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -570 - -572. Suppose -2*a + 2*l = f, 3*a - 4*l + 6*l - 7 = 0. Solve -u + a = 0, -2*u = -2*x - 0*u - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 3, h: 6, m: 2, r: 6, v: 1}. Give prob of picking 1 r, 1 h, 1 m, and 1 v.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 7*w**2 - 292*w - 1495. Determine o(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o\/(o**(-1\/2)\/o))**12\/(o**6\/(o**(2\/23)\/o))**(3\/41) assuming o is positive.\nAnswer: o**(217323\/6601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 + 4*z + 1. Let l be g(-6). Suppose -5*d - 53 + l = 0. Let r(u) = u + 10. What is the units digit of r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 - 12*q - 5. Let c(r) = -7*r**2 + 13*r + 6. What is 6*b(n) + 5*c(n)?\nAnswer: n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + (sqrt(170)*-3*-2 - sqrt(170))\/(sqrt(100)\/sqrt(490)) + 5)**2.\nAnswer: 210*sqrt(17) + 20834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 6, -1, -5.\nAnswer: -5, -2, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59735797 - 4135.41791797. Let z = 4135 + s. Let l = -0.18 + z. Round l to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2271717 and 13482.\nAnswer: 4543434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 75. Let x be d(-9). What is the greatest common factor of x and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - -6. Let w = -7 + x. Calculate the least common multiple of w and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*sqrt(16)\/(sqrt(8) + sqrt(8)*1) + (-1*2*sqrt(2) - (sqrt(2) + 3*(sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2))) + -3)*-4.\nAnswer: -8 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/29363 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2650\/(-72) - 22\/(-99). Let f be (-12)\/(1 - 19\/28). Let n = z - f. What is the third smallest value in n, -1, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u + 158. Suppose -24*i + 77 = -355. Let h be r(i). Solve h*g - 8 = 16*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230644248, 230644243, 230644236, 230644227?\nAnswer: 230644216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -2857371?\nAnswer: 2857370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2 + 6*r - 5. Let z(q) = 6*q**2 + 5*q - 5. Let l be (-1 - 55\/(-35)) + 228\/42. Calculate l*z(h) - 5*x(h).\nAnswer: h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 3:14 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*v - 1117, 0*z - 829 = -3*z - 5*v. Suppose 12*t - 950 = -z. Calculate the greatest common factor of t and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 765884?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/4 (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 127, 207, 289?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22187 - 22187.00034262. Round a to six decimal places.\nAnswer: -0.000343","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 8173*w - 57 + 48.\nAnswer: 8173*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(22\/9)*z**(7\/5)\/z*(((z\/(z**0\/z))\/z)\/z*z)\/z**(-17) assuming z is positive.\nAnswer: z**(983\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p - 22. Let f be w(-2). Let m = 12433\/4 + -3090. Let t = -18 + m. Which is the biggest value? (a) f (b) -6 (c) t (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 4*s - 5. Let g(u) = -u**2 + 5*u + 6. Let q(r) = 4*g(r) + 3*h(r). Let v(b) = 3*b**2 + 9*b + 10. Let n(f) = -4*q(f) + 3*v(f). Factor n(w).\nAnswer: (w - 6)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4708 to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -443*m - 318*m - 9 - 467*m + 22 - 14 in the form q*m + w and give q.\nAnswer: -1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0084 or -1.8?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48903 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52753727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25413 - -25409. Which is the fifth smallest value? (a) -4\/11 (b) 4\/7 (c) 0.5 (d) m (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, -11, -45, -113, -227, -399?\n\"Answer: -2*b**3 + b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 7\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c - 2*c)*((7 - 3*c - 7)*(-1 + 9 + 24) + 12*c + 5*c + 0*c).\nAnswer: -79*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - d - 2. Let z be g(3). Let v(u) = 16*u + 5. Let p be v(z). Suppose -3*w = -3*o - 69, -w - 2*w + p = -4*o. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -31*b**3\/3 - 5*b**2\/2 - b. Let x = -5374 - -5372. What are the prime factors of t(x)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112507?\nAnswer: 112507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*o**2 - 4*o = 0. Calculate o.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 9 + 1)*(0 + 2*l + 0)*(-4 + 4 + l).\nAnswer: 104*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3 - 577*t**2 + 5679*t - 5103 = 0.\nAnswer: 1, 9, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 523*r + 180615. Give v(-346).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(4\/(-1)))\/(4\/(-40)). Suppose 3*g + 0 = -h + 12, -4*h + 20 = a*g. Suppose -2*p + 6*p - 88 = h. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 2*q**2 - 2*q - 2. Let c be g(-2). Suppose -4*r + 10 = 3*y, y - 4*r + 9 = -9. Is -2*(c + 53\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.1 (c) -3\/46 (d) 3\/7 (e) 0.2 (f) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2890, 2872, 2854, 2836?\nAnswer: 2818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 291, 287, 283, 279?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - k = -2*c + 3, -3*c - 5*k - 15 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 27, -24, -95, -186, -297?\n\"Answer: -10*p**2 - p + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, 16, -1, -4, 1213, 0 in decreasing order.\nAnswer: 1213, 16, 13, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*a**6 - 20*a**5 - 31*a**3 + 784*a**2 - 3*a + 2?\nAnswer: -4680*a**3 - 1200*a**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g - 4*g - 2 + 3*g + (-3*g - 2*g + 3*g)*(-3 + 2 + 0))*(5 - 5 - 2) - 2*g + g + 0*g)*(-14077*g + 2216057 - 2216057).\nAnswer: 98539*g**2 - 56308*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/6 + -6 + 212*1. Let p = l - -42. Suppose -23*q + 115 = -18*q. Calculate the highest common factor of p and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -24*v - 12. Let z be u(-4). Suppose 4*f = 3*g - 455, 0 = g + 2*f - 51 - z. What is the remainder when g is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 3*l + 10767 - 10806, 130 = -10*v + l for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i + 21423 + 24*i - 21422 - i**3 - 19*i to n*i + v*i**2 + g*i**3 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 11744331?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25618 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2606 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12222021?\nAnswer: -12222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 112.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1427*l - 943*l - 29 + 1230*l + 3530*l.\nAnswer: 5244*l - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -9 - -19 - (14 + -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -14. Which is smaller: u or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from xuxzxuyucqxcucyxcxcy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x + 5*t - 19, -4*x + t = -10. Let d(z) = 4*z + 2 - 2 + x + z**2 + 0*z**2. What is d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32988*i**5*r**2 + 3*i**3*r**3 + i**2*r**2 - 2*i**2 + 14*i*r**3 - 858*i wrt i.\nAnswer: 1979280*i**2*r**2 + 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -52 + 4. Let x = -13 - q. Let u(c) = -7*c - 1. Let g(y) = -4*y - 1. Let r(w) = -5*g(w) + 3*u(w). Let z(h) = -h + 3. Give x*r(m) - 2*z(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3. Let v be q(-6). Let o = 15 - 2. Calculate the greatest common factor of o and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/95 and 113\/90.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200653\/17970 + -2\/2995. Let x be (-2)\/8 + (-6180)\/(-24976). Let l = -92083\/6244 + x. Find the common denominator of l and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 6 + -3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.44915 and -54?\nAnswer: 348.2541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 1284. Calculate j(-3).\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2317 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 63 - 12 = 4*y, -y + 29 = -2*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 3*m + 1. Let q be n(4). Suppose -5*c + 60 = -k, -q*k = -6*k - 3*c - 20. Is 1 - k - (3 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -334035 + 528664. Suppose -m = -6*i - 18631. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76136 - 1?\nAnswer: 76135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12864461801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = 3*q - 3*d, 3*q - 427 = -4*d + 615. What is the smallest common multiple of 315 and q?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*x - 26 = x, -5 = -5*i - 2*x. Solve -i*v + 16 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + 0 + -1). Let y be 21\/27 + r + -3. Is y > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*k, -5*k + 17 = 3*p. Suppose 2*y - 3*u = 17, y + 3*u + 13 = -y. Suppose 0 = -4*c + 2*m + 26, c + 3*m - y = -12. Solve -p*a + c = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774156 bigger than 2774155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 - 17\/6*b**4 + 0*b**3 - 10*b + 0*b**2. Let d(g) = 28*g**2 + 0 + 0 - 67*g**2 + 38*g**2. Determine d(w(s)).\nAnswer: -1156*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127604 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2832 and 67\/3192624?\nAnswer: 188364816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 284689524 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 127422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 85 - -65 - -59.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 849.8512 + -0.12.\nAnswer: 849.7312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/10110, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k + 40. Suppose -k*a + 39 = 5*a. Solve -3*c - 23 = -4*m, -4*m + m - a*c = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1182265 + -14.\nAnswer: -13.8817735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - s**2 + 543*s**3 + 0*s + s + 32*s**4 + s - 544*s**3 in the form u*s**3 + w*s**4 + h*s**2 + g*s + v and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 95872 at most 95868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 6 + 6. Let w = -49 + 50. Solve -l + w + s = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(14\/5))\/(p**(2\/3)*p))\/((p\/p**(2\/5))\/(p\/(p*p*p**18*p))))**(6\/7) assuming p is positive.\nAnswer: p**(-722\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583*b**5 + b**2 + 49*b wrt b.\nAnswer: -34980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*h - 5, -4*h + 0*c = -5*c - 11. Solve q - 4*q - 12 = -h*o, -q - 4*o + 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 361 - 354. Solve -d*g + 21 = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 3*l - 21 + 14 + l**2 - 4*l - l to the form x*l + b*l**2 + c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.6086 decades in months?\nAnswer: 99073.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735007550.\nAnswer: 2, 5, 23, 639137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 - 20*u - 23. Let p(k) = -3*k**2 + 7*k + 8. Let j(d) = -17*p(d) - 6*q(d). Suppose s = -s + 4. What are the prime factors of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/878130 and -113\/356574?\nAnswer: 58834710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-91)\/210 + (-2)\/12. Let o = 0.7 + -1.1. What is the closest to 3\/2 in y, o, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(9\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -371 (base 8) to base 11\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i**2 - 3590 - 84*i**2 + 3586 - 130*i**2.\nAnswer: -158*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Divide -213 by 71.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/370 + (-3)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*n)*(0*n + 19*n - 8*n) + 0*n**2 + 0*n**2 - n**2.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (231 - 199 - (56 - -2))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3\/8 - 2781*w**2\/4 - 391473*w\/2 + 127170729 = 0 for w.\nAnswer: -1074, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + (4 - -11)) - -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8 and 20\/501347?\nAnswer: 4010776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 5078 + 4756 = 0 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, -3, -35085, -4 in descending order.\nAnswer: 4, 3, -3, -4, -5, -35085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c**4 - 2*c + (-4*c**3 - 2*c**3 + 3*c**3)*(3*c + 0*c - 5*c) + (3 + 2*c - 3)*(-c**3 + 0*c**3 + 3*c**3) + 4*c**4 - 5*c**4 + 3*c**4.\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151277 is divided by 15118?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 32, 3 in descending order.\nAnswer: 32, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5429 or 5430?\nAnswer: 5430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11153\/32 >= -348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 10029*j**3 - 6 - 2*j - 10026*j**3 + 6.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Find the second derivative of p*t**2 - 5*t + 5*t + 2*t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -22. Suppose 4*b - v*b + 22 = -4*q, 0 = -2*b - 3*q - 11. Calculate the greatest common factor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 0.1 (c) 0.4 (d) -25 (e) 1\/3 (f) -1\/56 (g) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73, -81, -103, -145, -213, -313, -451, -633?\n\"Answer: -w**3 - w**2 + 2*w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 - a - 1. Let u be w(-1). Let p be 4\/u*(-7 - 2). Let v be p\/(-15)*(-15)\/(-6). Solve q = 2, j - v*q + 4 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 279*b**2 - 2*b + 1. Calculate o(1).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096 + 339 = 74*i - 45 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 46, -4 in descending order.\nAnswer: 46, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-472)\/(-1888))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/11)*c*c**(-1\/5)*c**(7\/2)\/((c*c**(-7))\/c) assuming c is positive.\nAnswer: c**(1183\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 10, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -1) + -7 - -4) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 5*i + 30880*i**3.\nAnswer: 30880*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)*r*r**(-11))**(28\/5)*((r\/(r**3\/r))**(-12\/5))**(1\/2) assuming r is positive.\nAnswer: r**(-836\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9428.988cm to millimeters.\nAnswer: 94289.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orqmqmommnnmnmrmmqmd. Give prob of picking 1 q, 1 m, and 1 r.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3108 - 0.0108. Which is the fourth biggest value? (a) 1\/3 (b) 8\/3 (c) v (d) -1\/2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 58 + 1662*j + 1583*j + 156*j.\nAnswer: 3401*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b4b - -4?\nAnswer: -11b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:18 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -3, -0.4, 1\/124?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25626 and 126904223.\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 5. Let z be p(6). Suppose 4 = 5*y - z. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 172*b - 5 + 42*b to the form l*b + k and give l.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708349484?\nAnswer: 2, 97, 379, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/9 + 2*p**3 - 10*p**2\/3 + 14*p\/9 = 0. What is p?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5851 and -1.89?\nAnswer: 5852.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8.42 times -2.4577\nAnswer: 20.693834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-443*l**5 + 3413*l**3 - 3413*l**3)*(7 - 5 - 1).\nAnswer: -443*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11214, -10779, -10446, -10215?\n\"Answer: -51*h**2 + 588*h - 11751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:39 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q*q*q)\/(q**(-3\/2)\/q))\/(q\/(q\/q**8)*q\/q**(5\/2)) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let l(n) = -402*n**2 + 2*n + 12. Calculate h(l(x)).\nAnswer: 1206*x**2 - 6*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 12*f**4 + 200*f**3 + 704*f**2 + 384*f = 0.\nAnswer: -12, -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18283*t + 1. Let d(f) = -1506*f - 2. Determine d(g(i)).\nAnswer: 27534198*i - 1508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 16 = s + 37 - 14, -10*s = 4*g + 126 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16357, 32848, 49315, 65746, 82129, 98452, 114703, 130870?\nAnswer: 146941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713146308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12160441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34462.3509 take away 382047?\nAnswer: -416509.3509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(2\/5)*b))**16)**(7\/2) assuming b is positive.\nAnswer: b**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*(25\/150)\/((-60)\/16)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(405)*-4 + 3 + -5 + -2)**2*-5 + -3.\nAnswer: -129683 - 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2*d)*(0*d + 4*d - 2*d) + 3*d**2 - 4 + 4 + (-d**2 - 4*d**2 + 4*d**2)*(-7 + 3 + 2 + (-3 + 0 + 1)*(1 + 1 - 1)) - d**2 + 5*d**2 - 3*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - 55\/(-5)) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23826, -23843, -23858, -23871?\nAnswer: -23882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81675.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 0)*2218\/6. Suppose 0 = -j + 4*w + n, -w + 3*w = 2*j - 2230. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 5216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0.06, 0.2, 2\/3 in descending order.\nAnswer: 3, 2\/3, 0.2, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - (7 - 5)) + (-7 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 103*n**3 - 2*n**2 + 6*n - 3. Let f be x(1). Let o(z) = 2*z**2 + z**2 + f - 104. Let a(r) = -11*r. Calculate a(o(m)).\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18165 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15 of a millennium in months?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 36. Let a be p(-5). Suppose 0 = 4*b + a, 2*b - 14 = -4*w + 8. Let q(f) = f**3 - 5*f**2 - f + 1. Calculate q(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 345*a - 3750 = 0. Calculate a.\nAnswer: -125, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 28 = 3*p, -2*p - 2*p = -16. Let u(l) = 2*l - 7. Let n(q) = -2*q + 8. Let z = 9 + -4. Let f = z - 2. Calculate f*n(g) + t*u(g).\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56220549139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7747.22265 to the nearest ten.\nAnswer: -7750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-48)*(-8)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5247.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b72 (base 12) to base 11.\nAnswer: -1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 140. Calculate the remainder when o is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 8*w**2 - 2*w + 6. Let g be h(4). Is 23 a factor of (-2)\/2 + (4 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.35 + 0.05. Let k be 12\/160*(3 + 5)*-1. Which is the third smallest value? (a) k (b) 0.3 (c) -1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 117.94. What is m rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-225)*(-30)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23740 and -52214214?\nAnswer: 52237954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 5*r + 4. Let s be g(5). Factor -3*f**3 + f + 3*f**2 + f**s - 2*f**3 + 7*f**3 + f**3.\nAnswer: f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 6*l. Let p(m) = -m**2 - m. What is 6*p(s) + q(s)?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5394 and 5568.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1}. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 35*m + 115. Calculate v(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-295.\nAnswer: -1475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 27. Let v = n + -34. Is -7 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 10. Let c be y(10). Let m(a) be the second derivative of a + 1\/15*a**5 + c*a**4 - 1\/45*a**6 - 2\/9*a**3 + 1\/3*a**2 + 0. Factor m(p).\nAnswer: -2*(p - 1)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1648 (base 16) to base 8.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 0.44259?\nAnswer: 0.44259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4.953 (b) -0.06 (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z**3 - 6*z**2 - 5*z - 67. Let d(y) = 8*y**3 - 7*y**2 - 6*y - 67. Let q(w) = -6*b(w) + 5*d(w). List the prime factors of q(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k + 107570*k**2 + 236752*k**2 + 47*k.\nAnswer: 344322*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148161*i**2 + 148174*i**2 - 296307*i**2.\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-10)\/(-852)*((-77088)\/(-880))\/(-146)\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1224454620 divided by -570\nAnswer: 2148166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0463 - -0.1807. Let h = d + 9.073. What is h rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4628960 and -69\/64?\nAnswer: 9257920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969.18 seconds in microseconds?\nAnswer: 5969180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8343.924 - -24?\nAnswer: 8367.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3709255 and -0.5.\nAnswer: -3709255.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 189365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(12 - 980 - -4). What is the greatest common factor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63869951787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(19*s - 2*s - 2*s)*(3*s**2 + 3*s**2 - 4*s**2) + 159*s**2 - 159*s**2 - 15*s**3 + (2*s + s - s)*(-100 + 100 - 14*s**2).\nAnswer: -103*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.7174 centuries to decades.\nAnswer: 8967.174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4 + 3)*(0*a**2 - a**2 + 0*a**2)*(a**3 - 3*a + 3*a).\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:37 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 + 62*u**2 - 25*u**2 - 21*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694846.\nAnswer: 2, 263, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -14 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + h - 12, 20 = 97*h - 102*h. Sort g, -3, 43 in descending order.\nAnswer: 43, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/620 and -11\/372.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2802 + 4587. What is the smallest common multiple of 55 and r?\nAnswer: 19635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/7 - 0)*-7 + -15. Let m be -5 - (-1)\/((-4)\/h). Suppose 5*j - 25 = -5*x, -2*x + 1 = -2*j + 11. Put m, -3, j in decreasing order.\nAnswer: j, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -55\/3*y**3 + 0*y - 49 + 0*y**2 + 0*y**4 + 104\/7*y**7 + 0*y**5 + 0*y**6. Find the third derivative of w(d) wrt d.\nAnswer: 12480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/532 and -185\/28813386.\nAnswer: 57626772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 8215*v**2 - 10*v + 3. Let t be f(7). What is t rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4334153 - 4334153 - o. Let m(h) = h**2 + 168. Calculate m(y(x)).\nAnswer: x**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 7) to base 6\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:49 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13486824?\nAnswer: 2, 3, 13, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 3*h**2 + 0*h**4 + 9 + 0*h**3 - 1\/15*h**5 + 0*h**6 + 2\/105*h**7 + 0*h. Factor r(k).\nAnswer: 4*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17182 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 92*v + 14*v**3 + 7*v**3 + 7*v**4 - 14*v**3 + 12 + 12 - 74*v**2.\nAnswer: (v - 3)*(v + 2)**2*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*c - 2*f, -f = -4*c - 27 + 5. Calculate the common denominator of (-202)\/90 + c\/(10\/(-4)) and 17\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21135 and 208965972?\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 8*m**2 + 3. Let o be s(-8). Suppose 0 = -o*u + 2*t - 57, -3*t + 100 - 24 = -4*u. Let k = 36 + u. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202 + -96. Suppose 0 = -0*w - 2*w + t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1741, 1748, 1755, 1762, 1769?\n\"Answer: 7*o + 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4652 + 4657. Solve -h + q*a = 9, 7 = -3*h - 4*a - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 1014145?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**4\/6 - 5*k**3\/6 + 23*k**2. Let p = 8 - 12. Give r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 69 + 69 as s + l*y and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 1\/6 (c) -0.0489 (d) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50455 - 2184?\nAnswer: 49281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11 and 57\/21373.\nAnswer: 21373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*r + 20, 2*j - 6*j - 2*r - 2 = 0. Let v(n) = 201*n**2 - 2*n - 1. Let i be v(j). What is the units digit of 4 + i - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.98693887 - 6.987. What is v rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:41 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142 or -22?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 + 192?\nAnswer: 194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 4 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037085773 to five decimal places.\nAnswer: -0.00371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-9) - 3)*3. Let m(o) = -4*o**4 + 5*o**3 - 8. Let h(g) = 6*g**4 - 8*g**3 + 12. Let v(x) = s*h(x) - 8*m(x). Differentiate v(i) wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7839*f*k**2 + 2*f*n - k**2 - k*n - 1458*n + 1 wrt f.\nAnswer: 7839*k**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.035355.\nAnswer: -0.0176775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywpfq. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**25*y\/(y*y\/((y*y**18)\/y)*y))\/(y**(-12)*y)**(-6\/5) assuming y is positive.\nAnswer: y**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3209259 is divided by 5867.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 18*o**2 + 40*o - 56. Let j(f) = -20*f + 159. Let s be j(7). What is the hundreds digit of w(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(v\/v**(3\/11))\/v)*v*v**7)**(1\/13)\/((v*(v\/v**(-2\/7))\/v)**(-16)*v**8\/(v\/v**(-1\/8)*v)) assuming v is positive.\nAnswer: v**(123401\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 + 119*f + 1016 = 0.\nAnswer: -8, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2. Let m(u) = 8*u + 5. Give -3*i(s) + m(s).\nAnswer: 11*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 86, 206, 378, 602, 878, 1206?\n\"Answer: 26*d**2 - 10*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 + 206. Let u be (0 - 6\/21)*(w - 113). What is the highest common divisor of u and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:31 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2132*l**3*z**2 + 4*l**3*z + 2*l**2*z - l*z - 329*z**2 wrt l.\nAnswer: -12792*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 2, w: 2, n: 1, r: 1, i: 1}. Give prob of sequence wnqi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2. Let l = -4 - -66. Let m(h) = -62 + 10*h + l - 4*h. Calculate m(n(p)).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*(i**(-3)*i)\/i)\/(i\/i**(-5)*i*(i**(2\/3)\/i)\/i) assuming i is positive.\nAnswer: i**(-176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:22 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 20. Suppose 2*h = m, 2*h - 4*h + 26 = 2*g. Let p = 55 - g. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 - 2*d**5 + 3*d**5 - 6*d**5 - 25 + 25 + (0*d - d - d)*(-d**4 - d**4 + 0*d**4) - d**4 - d**5 + d**4 + (-4*d**2 + 4*d**2 - d**2)*(d**3 + d - d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 56*a - 373. Give y(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.363727153 rounded to four decimal places?\nAnswer: -1.3637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 + 611?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4 + 1. What is the derivative of 7*t - 1 + f - 2*t - 2*t wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37*(-4)\/(-14) - 558\/1302)\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a - 0. What are the prime factors of a*-2*3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-17 + 8 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u**2 + 23241 + 23238 - 46479 - 155*u**3 in the form b*u + y*u**3 + n + d*u**2 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -7\/2*j**2 - 1\/3*j**3 + 0 - 4*j. Give r(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -4.132 (c) 0 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157.4 - 157. What is the second biggest value in g, -0.4, 72, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 27 = 4*g - 6, -4*b - 4*g + 64 = 0. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 20*q + 11. Let l be b(4). Let u be 13\/l - (-3)\/(-315). What is the nearest to 1 in u, 3, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*s = -377*s + 31720. Calculate the remainder when s is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 148, 223, 414, 781, 1384, 2283, 3538?\n\"Answer: 10*v**3 - 2*v**2 + 11*v + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 356280329 or 356280325?\nAnswer: 356280329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3\/4, 5, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 3485786?\nAnswer: 3485782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-3))\/((-1)\/(-3)). Suppose f - 3 - p = 0. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -47?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**3 + 140*x**2 - 65*x - 50.\nAnswer: -5*(x - 5)*(x - 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 1, z: 1, u: 11, q: 2}. Give prob of sequence ye.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -815208978\/1687 + 483230. Let k be 3\/(27\/2) + 70088466\/(-21681324). Let x = k - p. Calculate the common denominator of -29\/8 and x.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/7)\/(-6 - 77\/(-14)). Let o be 28\/7 + 62\/(-14). Sort 5, o, 2\/11, p in descending order.\nAnswer: 5, 2\/11, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -6, 4, -4, 6260?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 709 - 433. Suppose -690*y + v = -696*y. Is -47 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 44*j**4 + 26*j**4 - 54*j**4 + (-266*j**2 + 266*j**2 - 49*j**4)*(1 - 1 + 2).\nAnswer: -172*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 - 3*o**2 + 0*o**2)*(23 - 12 + 0*o**2 - 3*o**2) to the form x*o + s + k*o**4 + w*o**3 + i*o**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjvlzjx. What is prob of sequence zl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -146, -220, -294?\n\"Answer: -74*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 5*j - 4*j)*(-13*j + 13*j + 7*j**2) + 0*j - j**3 + 0*j + 2*j**2 - 2*j**3 - 2*j**2.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/175 - 5*(-6)\/210) + 0?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3 + 22*t + 3*t + t**3 + 13*t**2 - 6*t. Let f be w(-11). Suppose 3*r - f = -6*r. Calculate the remainder when 23 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juvuvmujmwmmwummwm. Give prob of sequence vwj.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1203370777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 21\/34 (c) -2\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let k(q) = -15*q**2. Let s(b) = -b**2. Let g(v) = -k(v) + 2*s(v). Give j(g(f)).\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 8. Suppose -3*a - 2*l + s*l + 79 = 0, -l = -5*a + 139. Let k be 30\/7 + (-8)\/a. Solve -y + 10 = k*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from {q: 4, u: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 76. What is the nearest to b in 4, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -3059*n**6\/30 - 2819*n**3\/3 - 2*n + 42. Find the second derivative of o(g) wrt g.\nAnswer: -36708*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.017 - -5.583. Let p = w - -0.4. Let r = p + -3. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1971 - 0.0359. Round p to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/11 - 3686*c\/11 - 3687\/11 = 0 for c.\nAnswer: -1, 3687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.595805096 rounded to five decimal places?\nAnswer: 0.59581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2364.86 + 2364.85699842. Let r = p + 0.003. What is r rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 27*q**2 - 1779*q - 22972. Give g(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:22 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 + 33971213*f**4*i**2 - f**2*i**2 - 146*f**2*i - 23*f*i**2 - 2*f*i - 35*i**2 wrt f?\nAnswer: -120*f**3 + 815309112*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 4*h + 58. Let o(v) = 3*v**2 + v + 5. What is the remainder when o(-4) is divided by l(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -1.5. Let i = 89.79 + -92.79. Which is the closest to 0.2? (a) g (b) i (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951809706 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 110\/3. Let x = 460 - 445. What is the nearest to x in 2, 2\/9, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 2*r**4 + 0*r**4 + 2*r**4 + 2*r**2 - 2*r**2 + (0 + 2*r + 0)*(-2*r**3 + 1 - 1) - r**4 - 2*r**4 - 3*r**4 - 2*r**4 + r**4 - 2*r**4.\nAnswer: -10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohbdhbddodobhdbooh. Give prob of sequence dhdh.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuquuuuu?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20116 - 20116.00243. Which is smaller: l or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 - 2584*n**2 - 432388*n - 4823472 = 0. What is n?\nAnswer: -317, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 6*k**2 + 2*k + 3. Find the common denominator of 13\/4 and r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165141 (base 7) to base 5.\nAnswer: -2024011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-18) + 88\/396. Which is smaller: 272 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73239.33l to millilitres.\nAnswer: 73239330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 14*f**2 + 19. Suppose -x - 18 = -4*i + 16, -3*i + 29 = -x. Give d(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/5 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1885 + 7*m**3 + 6*m**3 - 1888 to w*m + u*m**3 + x + h*m**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 3338, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2312 and 12172?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**3 - n**2 - 7*n + 8. Let b(r) = 4*r**3 - 3*r + 4. Let i(u) = 7*b(u) - 3*s(u). Let g = 71 + -74. Give i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 136956.709425\nAnswer: 136956.909425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 27 + 9. Let f be (-12)\/10*185\/(-37). Let n = b + f. Is n >= -5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -771 - -5409\/7. Let r = -21651.5 + 21652. What is the biggest value in 4, v, r, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x = -20*x + 74. Let b = 33 + x. Let g(f) = 2*f + 2. Calculate g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*c**2*t**4 + 2*c**2*t + 82*c**2 - m*t**2 + 5*m*t wrt t.\nAnswer: -1128*c**2*t**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(2\/19)))\/(i\/(i**(-2\/3)\/i)*i*i)*(i**(-1)\/i)**(-43))**48 assuming i is positive.\nAnswer: i**(74080\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -0.4 (b) 596 (c) -2 (d) 0.2 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760588*m**3 - 169860*m**3 + 5402558*m**3.\nAnswer: 5993286*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3.5, -1.3, -11, 0.4 in increasing order.\nAnswer: -11, -3.5, -1.3, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*-9*8\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 7. Calculate the smallest common multiple of 12*(4\/(-6) - -2) and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyy when three letters picked without replacement from vvvyvyvy?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346093 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**2 + 500*x - 487. Let s be d(49). Solve 5*g + 3*i + 1 = -9, -s*g + 3*i = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = -10*m, 4*h - 13*m - 11 = -14*m. Solve -5*s = h*d - 10, 4*d = -s + 5*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1490 = 5*m - 2*c, 0 = 3*m - 3*c - 900. Let g = -290 + m. Solve -g = -5*j - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 950 and -30 + (8 - -1538) + 1*(3 + 1)?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1203.56003 - -1202.16. Let d = 38.4 + -37. Let n = o + d. What is n rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1331) + 5 - (sqrt(99) - -2*sqrt(99)*-3)\/sqrt(9))**2.\nAnswer: -60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28260 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: Find the second derivative of 604 - 52*f**2 + 6*f**5 - 16*f**2 - 106*f - 299 - 301 wrt f.\nAnswer: 120*f**3 - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56.5 * 7\nAnswer: 395.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8705614.8 to the nearest one hundred thousand.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 4*x - 108, x + 1206 = -4*f + 1208 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13260*c = 13298*c + 37 + 39 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -534 + 116. Suppose 0 = -3*l - 26 + z. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 55 = -5*d, 30 = 7678*h - 7674*h + 3*d for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/22)\/(1089\/(-2420))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from nfxggynyxssy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 3\/(18\/(-8)). Let k = 2 - 3. Let o = 0.9 - 2.9. Which is the closest to o? (a) h (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173319803 to the power of 1\/2, to the nearest integer?\nAnswer: 13165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2910124 and 7252.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4515\/(-3010)*(-8)\/(-5).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16250, 16607, 16950, 17273, 17570?\nAnswer: 17835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.6802 centuries in decades?\nAnswer: 7836.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-627*y - 6 + 626*y + 2 + 14*y**2)*(0 - 1 - 180*y + 150*y) to the form b + n*y**3 + j*y**2 + g*y and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 29*v**3 - 529*v**2 + 531*v**2.\nAnswer: 30*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 7. Let r be (-4)\/(-1) + (-10 - -9). Suppose 35 = 2*p + r*p. What is the tens digit of t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*a + 7. Suppose 0 = -2*b + 3*v - 2*v + 5, 5*b = -v + 30. Suppose -2*x - 3*z + 4 = -5*z, b*z - a = 2*x. 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 next in -9, -42, -103, -198, -333, -514, -747, -1038?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3507, -3606, -3779, -4032, -4371?\n\"Answer: -w**3 - 31*w**2 + w - 3476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(171) + 1 - (0 + sqrt(171))*3).\nAnswer: -6*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 446 + -447. Let o be ((-45)\/(-50) + k)\/((-6)\/24). Which is the second biggest value? (a) 1\/3 (b) o (c) -0.1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.048 - -3.048. Let w = -5.2 - -0.2. What is the nearest to 0 in i, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11722 is divided by 618.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/21137 or -1?\nAnswer: -34\/21137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-12))\/(3*8\/54). Suppose -6*b - 2 = -7*b. What is the nearest to 1 in b, 7\/5, j?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 645.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 226. Let l = -222.8798 - i. Let d = 0.12 - l. Round d to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/44 and -4 - (-38)\/8 - -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m**2 + 11. Let x(c) = 2*c + 303. Determine x(i(h)).\nAnswer: -26*h**2 + 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 159*u - 2397. What is the remainder when 1469 is divided by n(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1352 greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c + 9. Suppose -o - c*q + 590 = 4*o, -2*o + 2*q = -224. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a82376 + -2?\nAnswer: -33a82378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/63 and 65\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.23 + 0.36. Let o = -0.03 + v. Which is greater: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:20 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 + 6*n - 4. Let a be f(-6). Let d be (1\/4)\/((-3)\/30). Is a at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11 - 7*f + 6 - 6. Let x(y) = 2*y - 8. Let z be x(7). Let l(n) = -4*n + 6. Let b(o) = z*a(o) - 11*l(o). Let t(h) = -2*h. Give t(b(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -18, -5.\nAnswer: -18, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 697.8 + -697.800020335. Round n to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -202692, -405357, -608022?\n\"Answer: -202665*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1074\/19 - 10759\/190. Put -4, 3\/5, -82, p in descending order.\nAnswer: 3\/5, p, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029778 rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(15\/(-45))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 1937 + 5807 - 1937 - 1933.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 1. Let x be v(-1). Let c be 0\/(2 - (1 + x)). Let h = 248\/5 + -50. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9876*b**2. Let h(l) = l**2. Determine h(y(p)).\nAnswer: 97535376*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275*r**6 + 150*r**2 wrt r?\nAnswer: -33000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 344\/3 (b) 0 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1453*p + 4613*p = -10004*p - 2924*p + 1842418 for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h = -77*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 361652 and 157240.\nAnswer: 3616520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/961808 and -131\/75742380.\nAnswer: 302969520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*c\/(c*c**(-6\/7))*c)\/c*c\/c**46*c\/(c*c\/c**(-16))*(c**(-14)*c)\/c assuming c is positive.\nAnswer: c**(-512\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Suppose 4*b - 3*b - 10 = 0. Let r(a) = 1 + b*a - 1 - 8*a. Determine q(r(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 + 84984467*b**3 - 84984449*b**3 + 13 + 6*b**2 to the form p + o*b**3 + j*b + g*b**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 2, c: 2, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 1, p: 2, a: 12, g: 2}. Give prob of picking 1 p, 1 o, and 1 g.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/16 - (-9)\/(-12). Which is smaller: k or 5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 45.2. Let p = -62 + 54. Let y = d + p. Which is the third biggest value? (a) -1\/3 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24832956 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:38 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 26. Let y be t(4). Let i(h) = 2*h**y + 2*h**2 + 2*h**2 - 8*h**2. Let n(u) = 8*u**2. What is i(n(x))?\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/3*y**3 + 4\/3*y - 2*y**2 + 2*y**4 + 10\/3*y**5 + 0 = 0. Calculate y.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + -21?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/21 + 5192*g**3\/21 + 3369608*g**2\/7 - 282*g - 4. Factor o(v).\nAnswer: 4*(v + 1298)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -48*f + 46*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6892519 months to years.\nAnswer: 0.224104325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-22) + 36\/(-198). Suppose -q + 15 = 4*q. Put 5, a, q in descending order.\nAnswer: 5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:33 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 + -28. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**4 + 58*x**4 - 15*x**4 + (-3*x**2 + x**2 + 3*x**2)*(990*x - 990*x + 34*x**2) as r + u*x**2 + o*x**4 + f*x + p*x**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 7. Let z be -10 - 4*o\/2. List the prime factors of (34\/8)\/((-3)\/z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783 divided by -261.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 + 0*w**2)*(6*w**2 + w**2 - 8*w**2).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1716.66 - -1713.66. Let g = -0.1 + -3.9. What is the nearest to -15 in b, g, -1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16\/225 - -4\/225. Let y = 17\/315 + g. Let v = -0.8 - 0.2. Which is the third biggest value? (a) 1\/4 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 75, 0.08, 2, -25.\nAnswer: -25, -1\/4, 0.08, 2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:20 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84965.\nAnswer: 5, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -20. Let z = l - -6.2. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - 7*c - 1. Suppose 0*t - 18 = 3*t. Let n be o(t). Find the second derivative of 26*m**2 - 26*m**2 - 16*m + 10*m**n wrt m.\nAnswer: 200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvhh. What is prob of picking 3 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2567 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2*(-468)\/(-24). Calculate the highest common factor of 52 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*b**4 - 2*b + 7*b**4 - 2*b**2 - 1 + 12*b**4 + 12*b**4 + 13*b**4 in the form h + u*b**2 + l*b + g*b**3 + j*b**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43953401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 29 = -5*y, 2*w + y + 11 = 5*w. Let l = w + -5. Let z(n) = n**2 + 2*n - 2. Calculate z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -9. Let v = m + -84. Let f = v - -239. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*n - 7 + 26 + 50 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 - 1040*v + 1040*v.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y - 4*y + 2*y.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 567*d**3*y**3 - 134264*d**3*y**2 - 790*d**2*y**3 - 4*d*y**2 wrt y?\nAnswer: 3402*d**3 - 4740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 62, -3, -35, -11 in decreasing order.\nAnswer: 62, 2, -3, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/758 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 23 in descending order.\nAnswer: 23, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1503*u + 18047. What is the remainder when (30 - -2) + -1 + 0 is divided by k(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 + 0*j**3 - j**2 - 15*j + 31\/12*j**4. What is the first derivative of f(w) wrt w?\nAnswer: 62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011000 + 11?\nAnswer: 100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*n + b**2 + 4587*b*n - 11709*n wrt b.\nAnswer: -4*b*n + 2*b + 4587*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12085360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s - 7. Let f(v) be the third derivative of -3*v**4\/4 + 10*v**3\/3 + 265*v**2. Give 6*f(z) + 17*w(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5552.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-40))\/(6\/(-280)*8).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - -6.87. Let b = -8 + f. What is the third biggest value in -2, b, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:43 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349369 is divided by 6850.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4620*11 + 74186\/(-4116).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17472300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 4, -2, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + 12\/9. Suppose -k*l - 2*l = -c - 124, 3*c = -4*l + 108. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 1 + -1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -794 + 797. Suppose 0 = -s - 2 - 2. Let l be s\/16 - 21\/(-4). Solve h*n - l = v - 0*n, -3*n + 25 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2205*h + 2226*h - 168 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8*p - 2*p**4 - 2 - 3*p**3 - 9*p + 7 in the form k*p**4 + l*p**2 + b + x*p**3 + v*p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522*d + 251332 = -2190*d + 405*d for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 49\/4695?\nAnswer: 49\/4695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s - 16. What is the tens digit of j(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000133756491 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d**3 - 5*d**3 - 2*d**3)*(15*d - 9*d + 34*d) + 0*d**4 - d**4 + 0*d**4.\nAnswer: 599*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/24*(3\/75)\/((-17)\/(-170))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 divided by 19.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 918718 and -76.\nAnswer: -69822568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 9. Give a(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-24)\/14 - (37 - (11 - -27))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffpfeffff. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 3224.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -12*i + 77. Solve -4*z - i = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44109.05 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1498\/63 + 2\/9. Let i(j) = j**3 - 8*j**2 + 4. Let f be i(8). Suppose f*c - 124 = -v. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52373.\nAnswer: 83, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75088 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.233906?\nAnswer: -0.01403436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2 + 127*n - 9133*n**6 - 1 + 1 + 9081*n**6 wrt n.\nAnswer: -6240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 674*o**2 + 3330*o + 44131. What is a(679)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22780941 divided by 3\nAnswer: -7593647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - -16 - 18) + -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9885172 is divided by 3295050?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/3 + 36*i**2 - 10*i. Let g = -112 + 180. Calculate the remainder when g is divided by o(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010221332 (base 4) to base 6\nAnswer: -10005530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -y - 3*y - 5*n, 0 = 3*y - n - 119. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -147 (c) 7\/8 (d) -4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k*k*k)**(1\/9)\/(k\/k**(-1))**22 assuming k is positive.\nAnswer: k**(-1180\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:52 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1\/9, 1, -455.\nAnswer: -455, -0.06, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 214*s**3 - 82*s**3 + 1586*s**3 - s.\nAnswer: 1718*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2158628 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 60*b**2 - 72*b + 766. Give s(59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/370)\/((-131)\/((-106110)\/(-243)))\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:52 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 11*p**2 - 5*p - 14. Let m be d(10). Let c be 22*9\/(m\/8). Suppose -13*h + 1654 + 62 = 0. Calculate the greatest common divisor of h and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, 92, 7, -1, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4 - 1360*g**3 + 8135*g**2 - 14900*g + 8124 = 0. What is g?\nAnswer: 1, 2, 3, 1354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1328462 or -1328461?\nAnswer: -1328462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171*f**3*n**3 - 9*f**3*n + 144*f**3 + 3*f**2 - 3*n + 6 wrt n?\nAnswer: -513*f**3*n**2 - 9*f**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-99)\/(-22) - (-6)\/(-4). Let n = 16 + -34. Let z = n + 17.6. Which is the second smallest value? (a) -1 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-17) - (4\/(-34) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 171\/(-18). Suppose y*m - 85 = 167. Solve -z = -b + 4*z + m, 14 = -2*b - 4*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -593692 divided by 11?\nAnswer: -53972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 + 0)*(-3 + 10 + 12)*(5 - 3 - 1) + 0 + 1 - 3)*((2*g - 2*g - 2*g)*(1 + 2 - 4) - g - g + 5*g) to k*g + o and give k.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7990215707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (64\/30 - 2) + (-1346)\/(-30). Suppose 140 + o = 5*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2199*f**2\/2 - 1137*f + 1290. What is the derivative of i(y) wrt y?\nAnswer: -2199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*r = -116, -3*i + 65 + 56 = -r. Calculate the greatest common divisor of i and 7014.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r - 74*r - 548 = 21*r. Sort 3, -9, r, 5.\nAnswer: -9, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941 + 157 = -4*h - 94*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 8) to base 3\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/29, 2.6, -0.4, 2\/367, 2\/3 in increasing order.\nAnswer: -0.4, 2\/367, 2\/29, 2\/3, 2.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8311407 is divided by 9642.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:15 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 5*v - 4*v)*(0 + 0 - 2*v)*(-4*v + 3*v - v) to u*v**3 + y + c*v + s*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 136, 139, 140, 133, 112, 71, 4?\n\"Answer: -d**3 + 5*d**2 - 5*d + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 - 3*v + 3. Let u(k) = 64*k**2 + 28*k - 28. Give 28*a(b) + 3*u(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*v + 105881 - 116181 for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 127b95?\nAnswer: 127b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:51 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) + 182\/56. Suppose 153 = -3*i + z, l*z + z + 138 = -3*i. List the prime factors of (-770)\/i*(-15)\/(-3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*(x\/x**(3\/5))\/x)*x\/(((x\/(x*x**(-3)))\/x)\/x))**20)**2)**(-45) assuming x is positive.\nAnswer: x**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164 in 36, 0.5, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.8 + -17. Let u = s - 4. Let l = u + 0.2. What is the second smallest value in -2, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 3*a - 8. Let r(x) = x**2 - 3. Let y(n) = -6*r(n) + w(n). Factor y(u).\nAnswer: -(u - 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d - 100 = 0. Let i(x) = -x**3 - 21*x**2 - 19*x + 21. Let b be i(d). Let c = -7 - -4. Which is bigger: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3964.016 + -3964. Which is the third biggest value? (a) -8 (b) s (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 255725 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2*y - 7. Let l be j(3). Let x = 608.98 - 609. Which is the smallest value? (a) x (b) -1\/8 (c) l (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261114817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b = 60*b + 939 - 524 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 8.6. Which is the biggest value? (a) 2 (b) i (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/7)*(f**(-2\/9)*f)\/f*f)\/((f**2\/f*f)\/f)**33)**(-49))**(-5) assuming f is positive.\nAnswer: f**(-70105\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 15678000 to the nearest 100000.\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 + 0.01. Let x = n - -2.2. Let c = -2 - x. Put c, 1\/5, -2\/3 in descending order.\nAnswer: 1\/5, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:13 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21071 + 21087. Sort q, -1, 0 in ascending order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 44800811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/2 + 6433630*v - 20695797488450 = 0. Calculate v.\nAnswer: 6433630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/16 and -133\/3180.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + -22888 - (-2 + 8). Round x to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93797042, -187594087, -281391134, -375188183, -468985234, -562782287?\nAnswer: -656579342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:19 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 128 = 4*g - 434, 4*g + 2*o = 556. Suppose 2*n + 70 = h, -2*h + 4*n = -n - g. Calculate the remainder when h is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -6\/37 (c) 4\/3 (d) 2\/3 (e) 0 (f) -0.915\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((7 + 261\/(-36))*4)\/((-37)\/14). Which is greater: -0.059 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-32)\/(-15)) + 638\/(-165)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315669216 by 19729326.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-6 - -14) + -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -36*o - 396. Give x(-13).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvkdendvb. What is prob of sequence ddk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/31)\/p)\/p*(p*p*p\/(p\/(p**(-2\/21)\/p)))\/p*p*((p\/p**(2\/25)*p*p)\/p)\/p**17 assuming p is positive.\nAnswer: p**(-264302\/16275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.06, 1, -1\/2, 9.9, 89, 2, -5 in descending order.\nAnswer: 89, 9.9, 2, 1, -1\/2, -1.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 2*u - 1. Let d be v(-3). Suppose -3*w - 4 = -d*w. Let b be (w\/(-7))\/((-5)\/(-35)). Solve b*g = 2 + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192 is divided by 535?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -14435268*a - 2. Let k(l) = 13*l. Give r(k(q)).\nAnswer: -187658484*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1338988 divided by 238\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 l when four letters picked without replacement from llyyyylllll.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = 4*x, 3*x + 1 = -5*y - 4. Let n = -28 - -31. Suppose y*h - 5 = -n*h. Is 0.5 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4076*z + 2133*z + 0 + 1954*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 3*t**5 - 2*t**5 + (147*t**2 - 32*t**2 - 72*t**2)*(-2*t**3 + t**3 - 2*t - t**2 + t).\nAnswer: -46*t**5 - 43*t**4 - 43*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 359*p**2 + 2. Let h(k) = 971812*k**2 + 5415. Calculate 2*h(g) - 5415*y(g).\nAnswer: -361*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 - -75. Let o = k + -18. Let n = -305\/2 + 3961\/26. Which is the third smallest value? (a) -0.4 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 - 2*b + 1. Give v(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1044383045*h*x - 271846*x - 929 wrt h.\nAnswer: 1044383045*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 6935.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 324462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1442266*1\nAnswer: -1442266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1763.645 decades to months.\nAnswer: 211637.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*(w**22\/w*w)\/w)*w**23\/w*w**4\/(w**(-1\/2)*w*w) assuming w is positive.\nAnswer: w**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.5 (c) -2 (d) 0.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -5, -2.574, 37\/6?\nAnswer: -2.574","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/((-8)\/(-7))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2411451 + 3*j + 2411451 - 600*j**3 in the form r*j**3 + u*j + b + d*j**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11823813 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2434*o = -2414*o - 200 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -1.\nAnswer: -2, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1785928 or 1785929?\nAnswer: 1785929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 420758 and -12.\nAnswer: -5049096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26 + 2)*(-96)\/9. Suppose -i*n = -254*n - 70. Let j = -23 + 57. Are n and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2386, 4791, 7196, 9601?\n\"Answer: 2405*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 10. Let w be u(6). Suppose 0 = w*s + 43 - 207. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -94*c**2 - 4*c - 3*c - 91 + 95*c**2. Is y(38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 2 - 46047*k**2.\nAnswer: -46047*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 515 + 461 - 4*d to y + p*d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3 + 3212*m**2 + 316480*m = 0.\nAnswer: -688, -115, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/5 + 3674584*l\/5 - 1687820946632\/5 = 0. Calculate l.\nAnswer: 918646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 47 - 46 - 51 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -0.1 (c) -43 (d) -0.126 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 0.1, 1\/9, -3, -32\/13, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848 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: Which is smaller: 90 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -32 - 229. Let t = 37 - q. Solve k = -3*k + t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 1 k when three letters picked without replacement from {p: 5, k: 3, h: 4, i: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5188635327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 552*p + 2752. Determine x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzr. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 44*a**2 - 46*a - 42. Let u be v(-45). What is y in 16*y + 5*y - 30 + 0*y - u*y**2 + 0*y = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.09 rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 5, 3, -0.083, -5, -0.02?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4 - 3*q**3 - 4*q**2 - q + 2*q**3 + 4*q. What are the prime factors of a(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10)*((-4)\/(-18))\/1. Which is the fourth biggest value? (a) -5 (b) 5.1 (c) p (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:56 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1304416*x - 616589.\nAnswer: 1304416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -68\/19 (c) 0.01 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20291 - -101458\/5. Suppose -w = -0*w. Let k be (0 - w) + (-9)\/12. Sort 1, k, f, 2 in decreasing order.\nAnswer: 2, 1, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/4)\/(-3))\/((-3)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let j(t) = 1223513*t**2. Give j(h(s)).\nAnswer: 1223513*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1062*f - 8181 - 5684*f - 1986*f + 8181 in the form j + x*f and give x.\nAnswer: -8732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*i = -7, -5*n + 12*i + 63 = 8*i. Solve -7*d = 5*c - 3*d - n, 2*c = -3*d + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:16 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 606206*h - 606208*h + f, 3*f = h + 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 307100 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1789, -8278, -19093, -34234, -53701, -77494, -105613?\n\"Answer: -2163*b**2 + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 + (-540)\/(-100))\/(4\/75))\/((-33)\/6).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 498?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -3146.\nAnswer: -471.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13068*b - 346063 + 98342 = 5077*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53905\/33 or 1632?\nAnswer: 53905\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 17*d - 14. Let v be b(-16). Suppose 5*t = -v*t + 24661. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 8*m + 40. Let b be o(7). Let y = 351 - b. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/32017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(15\/3 + -2). Let u = -1 + 0.5. Sort 3\/5, u, h in descending order.\nAnswer: 3\/5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:11 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 (base 13) in base 2?\nAnswer: 100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 2*b + 3, o - 4*b = 2. What is the second derivative of -14*a**2 - 10*a + 25*a + 61*a**o wrt a?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 3*g - 30. Let o be y(11). Suppose 5*d = 4*l + o, -5*d - 223 = -3*l - 707. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3*m**2 - 6*m - 3. Let u be z(4). Solve 3*t + 0*t - 6 = 0, -5*t + u = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002289 to six decimal places.\nAnswer: -0.000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.3, 2\/17, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -306, -12, -3 in increasing order.\nAnswer: -306, -16, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h - 2. Let y be w(1). Suppose 4 + 5 = y*x. Differentiate -215*d**x - 2 + 215*d**3 - d**4 wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 - -1.2. Which is the nearest to -1\/3? (a) -0.4 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032024 (base 5) in base 2?\nAnswer: 1000001001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 1. Let d(q) = 4*q**2 + 6*q**2 - 12 - 2*q**2 + 6. Give -d(g) - 6*f(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -0.813621.\nAnswer: -7.322589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552 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: Is 59870 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a week in minutes?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8052 = 3*d, 0 = -3*d + 4*k - 6*k + 8032. Let h = -1335 + d. What are the prime factors of h?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-70))\/(12\/(-8)*1\/2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -81. Let v(j) = j**3 + j**2 - 7*j - 1. Let w be v(z). Solve 0 = -2*q + 8 - w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 5*b + 6*b**2 - 17*b**2 as o*b**2 + d*b + p and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 6. Determine r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.9 + 11. Let k = 0 - c. What is the nearest to 0 in -0.5, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59638.32 weeks in nanoseconds?\nAnswer: 36069255936000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.04292 minutes to milliseconds.\nAnswer: 542575.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - h - h = -11, -h + 7 = -2*i. Let y be 0 - -1 - (-2)\/i. Let x(s) = -498*s**3 + s**2 - s - 1. Is x(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 3*s. Let x be y(-4). Let w be -1 + 6\/8*x. Differentiate 19*n**w + n**3 - 10*n**2 - 6 - 9*n**2 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*y - 5342*y + 103*y.\nAnswer: -5629*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = 45*z - 48*z. Suppose -141*w + 1617 = -z*w. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 167*g**2 - 88*g**2 - 76*g**2 - 2*g + 0*g as f*g + y + h*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 + 0 = 0. Let a(t) = -t + 3 + t + c - t. Let i be a(4). Are i and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n - 6. Let m be l(-1). Which is the closest to 0.1? (a) 2\/9 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 165960?\nAnswer: 1825560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:48 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-11 - 82*z + 45*z + 33*z) to u*z + j and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**5 + 4*v**4 + 90*v**2 + 6 wrt v?\nAnswer: -60*v**2 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 24*v**2 + 9*v - 42. Is r(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/((-2)\/34). Find the common denominator of -91\/4 and n*-1*1\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(48\/15 + (-1)\/5). What is the tens digit of b - (16\/(-4) + -123)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 127. Suppose n*c - 19*c = 0. Solve c = -2*i + 9 - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 879269679263 and 0.\nAnswer: 879269679263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(5 - (7 + -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-904)\/(-168) - 5)*6\/4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*f + 15 = f, 0 = -5*f - 25. Suppose 60 + q = 10*y. What is the greatest common divisor of y and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -0*w + 4*w - q, w - 4 = -3*q. Let j be (3 - 1)\/(1\/w). Let l be 6\/21 - j\/21. Which is the smallest value? (a) 4 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let a(g) = -7*g - 6. Let c(h) = a(h) + 6*w(h). Let f(i) = 2*i**3 + i. Calculate 2*c(o) - f(o).\nAnswer: -2*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0, 10574?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2352 = 2*q - 23*x + 22*x, -4*q - 3*x + 4724 = 0. Calculate the least common multiple of 6 and q.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3042)\/(-676))\/((-38)\/(-32) + -1). Let q(k) = -s*k**2 + 23*k - 10*k**2 - 7*k**2 - 23*k. Let h(z) = -7*z**2. Give h(q(d)).\nAnswer: -11767*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 + 4*g. Let t be (1 - -2)*20\/(-15). Let r be k(t). Let x(b) = -b + 32. Is x(r) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75583 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:35 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 5*b + 13. Suppose 13 = 4*v + h, -5*v + 3*h = -24 - 5. What are the prime factors of m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(55\/(-10)) - 306\/(-231). What is the third biggest value in 1, -4, -9, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 8*p**2 - 5*p + 14. Let a be r(-7). Suppose a*n + 408 = 12*n. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 = 3*a - 3*f, 0 = -3*a - f + 1. Suppose -a*h + 12 = 4*v - 12, h - 4 = -v. Calculate the smallest common multiple of v and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18428.\nAnswer: 2, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1597*x - 11 = 1586*x. Let b(z) = -13*z - 1. Determine b(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (9 - (0 - -14)) + (54 - 4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 144*s**2 + 2*s**3 + s**3 + 145*s**2 - 2 as q*s + l*s**2 + u + j*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/3 - 5566*q**3 + 16700*q**2\/3.\nAnswer: -2*q**2*(q - 1)*(q + 8350)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -425 - 430 - x**2 + 10*x**2 + 845 in the form c*x + z + t*x**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 224.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 944\/56 + 4 + 135\/(-35). Solve u*n - 66 = -15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373*d**3 - 1048*d**2.\nAnswer: -2238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 230\/70 + 6\/(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*x**3 + x + 4 wrt x?\nAnswer: 75*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147339874, -294679750, -442019626, -589359502?\nAnswer: -736699378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 4*s**7\/105 - s**6\/24 + s**5\/10 - s**3\/2 + 67*s**2. What is the third derivative of a(d) wrt d?\nAnswer: 192*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 26, 36, 46, 56, 66?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7107015 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: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from zrdzzrdrdrzz.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 17*r + 140. Let j be b(-8). Sort 2, -11, j in descending order.\nAnswer: j, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 13}. What is prob of sequence qs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(3 - (-74766)\/(-24912)). Let i = j + -411. Is 6 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34740 * 0.1.\nAnswer: -3474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose -17 = -4*c - 3*v, -h*c + 8 = v - 1. Let x(y) = y - 1. Let d be x(c). Solve a - 25 = -d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603267.\nAnswer: 3, 7, 23, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/11310285 and 11\/75.\nAnswer: 56551425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 1603312 - 8160968 = -62*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4 + 4 + (-4 + 1 + 4)*(0*z + 0*z - 2*z) - 2*z + 0*z + 4*z)*(0 + 5 - 2).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1296, -4752, -10438, -18348, -28476, -40816?\n\"Answer: h**3 - 1121*h**2 - 100*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = -25. Suppose -7 = -4*x - 5*y, -2*y = -x - 4*y + 1. Factor 1 + 5*k + k**u - k**4 + 6*k**4 + 6*k**x + 10*k**2 + 4*k**3.\nAnswer: (k + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589314 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w - 36. Let q = 29 - 34. Let a be n(q). Solve -a*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 387071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(2\/(-4)). Let l be 12*(-4 - 1)\/(-5). Let f be 8\/6*3\/24*l. Is k smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/180 and -179\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 200 = -32*d - 26*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1693228.01 to the nearest ten thousand.\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*q - 588 + 477. Suppose 21 = 6*y - 3. Let b = 25 - 12. Solve q = -y*n - b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 14*z - 2. Let o be r(12). What is the units digit of 4\/o - (-1182)\/78?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/7, -151, -1 in descending order.\nAnswer: 3, 4\/7, -1, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -5*o + 2 = 12, -459549 = -5*k - z*o. Let c = 3691911 - k. What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from {y: 5, x: 3, n: 3, w: 2, i: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470\/(-450) + (-6)\/(-135) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53049, 63\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:53 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3767 - -3794. Solve 16*l - t*l + 44 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + l - 5*l, 0 = 2*l - 6. Suppose -j + 3*j - c = 0. Solve -2*s + 16 = j*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47 and 0.6301.\nAnswer: 29.6147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 - 137*z**2 - 6080*z - 62800.\nAnswer: (z - 314)*(z + 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1788129 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -255*q**2 - 246*q**2 - 12*q**3 + 189 + 462*q**2 + 162*q = 0.\nAnswer: -21\/4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.363 times 0.01\nAnswer: 0.04363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t - 2. Suppose -5*r - 24 = -4. Let v be p(r). Does v = -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.26 or 0?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1255108 at least -1255099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = g, g - 40 = 4*f + 36. Let q be -1*(12 - 1)*-1. Solve 3*l = 2*l + 3*j - q, 4*j - g = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6167.8807137 plus -550.3?\nAnswer: 5617.5807137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/4 + 2*r**3 + 3*r**2\/2 - 8*r - 2. Give o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - j = 3*j - 19, -5*c + 3*j + 12 = 0. Let o = 171 - 168. What is the smallest common multiple of c and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3430 + 3479. Solve -21 = -7*p - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6*a + a - 11, 3*n - 3*a - 9 = 0. Solve n = -u + 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + 0 + sqrt(63) + sqrt(42)\/sqrt(6) + 2 + -3))**2.\nAnswer: 384*sqrt(7) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25329704*w - 23335237?\nAnswer: -25329704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38489372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, -7, -1\/9, -2, -0.7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25775270 and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -149*j**3 - 12*j**2 - 4*j. Let h(c) = -67*c**3 - 5*c**2 - 2*c. Calculate 3*f(p) - 7*h(p).\nAnswer: 22*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 - 178. What is the second derivative of -2*x**4 + 7*x + 8*x - 12*x**2 + n*x + 13*x wrt x?\nAnswer: -24*x**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.259 - 2.9. Let z = n + -0.35899872. Round z to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4183 + -4105. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11834?\nAnswer: 2, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36770, -36702, -36590, -36434, -36234, -35990?\n\"Answer: 22*l**2 + 2*l - 36794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54098329 by 2.\nAnswer: 54098329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8903.66 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(5) - sqrt(45)\/(sqrt(9) + sqrt(36)\/sqrt(4))) + sqrt(5)))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*t, d + 3 = -t + 7. Suppose 12*k = 11*k + d. Let x(m) = 9*m + 3 - 6*m - k*m + 3. Determine x(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499023 is divided by 46?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 52 = 0. Let h be (l*4)\/4 + 2. What is the highest common factor of 60 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -122 + (-15 - -149) - (-1 + 1 - -58).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69544 bigger than 69578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-15)*(-30)\/(-35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c + 9. Let s be k(4). Let w be (-7)\/s + (-14)\/(-24). What is the third smallest value in 4\/3, 1, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 33*b**2 - 23*b**2 + 17*b**2. What are the prime factors of c(4)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4082588 = -49*q + 2378533. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 + -412. Which is the second biggest value? (a) w (b) -3 (c) 16 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302408337 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -4385020.\nAnswer: 8770040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o + 12. What is the tens digit of z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 31. Suppose -2*a + 4*a = -2. Let u = a + 5. Solve s + p = -4*q, 3*s - u = -q - q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19835449.\nAnswer: 19, 29, 35999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06069 and 2.\nAnswer: 0.12138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380 + 360. Let h be (-105)\/75 + (-108)\/b. Solve 0 = -2*x + 2*v - 0 - h, x - 10 = -5*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27322736*g - 27128390 wrt g.\nAnswer: 27322736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:29 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 18. Let n be (-168)\/(-9) + -2 + (-4)\/i. Suppose -5*p = -4*j + 20, p + 3*p - 2*j + n = 0. Which is the closest to p? (a) 3 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16*i - 38. Let d(r) = 61*r. Give d(p(v)).\nAnswer: -976*v - 2318","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let x be o(-2). Suppose 0 = -x*j + j + 5, -2*d + 4*j = -1062. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*b + 49 - 45, 2*l + 2*b - 6 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + l - 1. Suppose -15 = -2*d - 3*v, v = 3*d + 3 + 2. Suppose k = -5 - d. Let j(q) = 4*q**2 + 4*q - 7. Determine k*b(x) + j(x).\nAnswer: -x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/13 - 4\/(-2) - 0\/(-103)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from jyeoj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 76*j**3 + 276*j**2 + 584*j + 320. Let r(s) = 7*s**3 + 25*s**2 + 53*s + 29. Let q(w) = 3*p(w) - 32*r(w). Factor q(m).\nAnswer: 4*(m + 1)*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 10*f + 3. Let u be p(10). Suppose -4 = o - u. Let s be -1 - (3 + -6 + o). Solve 0*r + 9 = -2*k - 3*r, 5*k + s*r = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.113811 milligrams to nanograms.\nAnswer: 3113811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*i + 118, 4*w - i - 2*i + 76 = 0. Let n = w + 41. Suppose t = -4*x - 0*x - 5, 0 = 2*x + 6. Calculate the remainder when n is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*v + 467*v = -4*i, 13*i = 8*i + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 31\/3. Let v be (-1)\/6*(-346 + 2). Let x = v + -347\/6. Sort x, j, 0.5.\nAnswer: x, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -38*u**3 - 4. Let m(q) = -114*q**3 - q**2 - 14. What is -7*f(l) + 2*m(l)?\nAnswer: 38*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/(-16)*25\/(9600\/(-2664))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/13867 and -549 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224706 is divided by 112345?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 - 18*z**2 + 20\/3*z**3 - 37*z - 1\/3*z**4. Factor f(n).\nAnswer: -4*(n - 9)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -16*p**6\/3 + 3*p**4\/2 - p**2 + 132*p + 38. Find the second derivative of r(d) wrt d.\nAnswer: -640*d**3 + 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 68 = 0. Let k = f - -5. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/19 + 108534*w**2\/19 + 22848*w + 434104\/19.\nAnswer: 2*(w + 2)**2*(w + 54263)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0061 and 3.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 36 = -w. Let q be ((-2)\/1 - -1)*-59. Let s = q + w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 11*o**2 + 389*o + 12809. Calculate h(-21).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 4*s. Give f(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 17, 9, -5, -25, -51?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(44)\/sqrt(4)*2) - (4 + sqrt(1377)*1) - (1*sqrt(1088) + (sqrt(425)*6)**2 + 0).\nAnswer: -15304 - 33*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(4 + -2 + 0). Suppose 4*f - 9 = f, -m*f + 27 = 3*g. Let a(d) = -2*d**2 + g*d**2 - 3*d**2 - d. Calculate a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 227 + -216 + (2 + -2 - 5) + 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (7 - (2\/(-22) + 759\/363)) + 7915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8725243, 17450491, 26175739, 34900987, 43626235, 52351483?\nAnswer: 61076731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmtttimhiittimiiir. What is prob of picking 1 r and 1 h?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248651007.\nAnswer: 3, 11, 684989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 7. Let t be (3\/(-4))\/((-17)\/272). Let l be (-2)\/(-6)*(3 + t). Let i(j) = j**2 - j - 4*j + l*j. What is i(n(r))?\nAnswer: 4*r**2 - 28*r + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 83. Suppose h*u = 1697 + 983. Does 49 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 + 1\/9*-3*9 and (9\/(-27))\/(3\/(-99))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 - -272. Solve -3*p + x*p + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-29)\/(-28) - 14\/49. Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-1 + 12)) + 17 + (-2 - 0 - -47).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11 = 16. Let w(b) = 0 + 2 - 5 - 5*b**2 - o*b. Let c be w(-2). Let p(i) = i**2 + 6*i + 4. Calculate p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2832, -11467, -25852, -45981, -71848, -103447?\nAnswer: -140772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4 + 37*c**3 - 70*c**2 = 0?\nAnswer: 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.883 less than -4976824979?\nAnswer: -4976824977.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3613264 is divided by 939.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - v - 28. Let n be j(4). Let y = -2 + 1.93. Let g = y - -0.57. Which is the closest to n? (a) 15 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.58948, -0.2, 0.\nAnswer: -41.58948, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1152 + -1882. What is r rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 0*d**3 + 2*d**3 - 5*d**3 + d**3 + 2*d**3 + (3*d**3 - 2*d**3 - 3*d**3)*(-22 + 14 - 50) + 2*d**3 - 6*d**3 + 2*d**3.\nAnswer: 114*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548 a factor of 703693563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from eyziffeffi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*q + 26*q + 33*q - 8, 11 = -g - q for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*u - 50*u + 30*i - 270, 27 = -3*u + 3*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6230747*x**2 - 6277828*x + 2 wrt x.\nAnswer: -12461494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(48) + -2 + sqrt(48) - sqrt(48)))**2 + -6*sqrt(243)*5.\nAnswer: -846*sqrt(3) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 36 = -3*j, -5*j + 3*q = 2*q + 67. Let z be (-8)\/28 - 2\/j*296. Let w = z + -40. Solve 9*u = 4*u - 15, -3*p + w*u + 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -3*m**6\/40 + m**5\/12 + 5*m**3\/6 - 44*m**2. Let n(o) = -4*o**3 + 2*o**2 + 2. Let x = 7 + -2. Give x*n(s) - 2*z(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6\/13, 2\/3, 12\/11 in increasing order.\nAnswer: -6\/13, 2\/3, 12\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 0 + 1. Let n = 2659 + -2665.884. Let h = -0.884 - n. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 41 = -3*a, 2*u = -5*a - 0*u + 27. Suppose -c + a = -3*p, -3*c - p + 3 = -8. Suppose c*z - 10 = 22. What is the least common multiple of 10 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u**2 - 45*u + 4. Let k be f(3). Let y = 0.6 - 3.6. Which is the second smallest value? (a) -8 (b) k (c) 0.2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7552\/(-20) - (1 - (-9)\/(-15)). Let w = -388 - l. Put -3, w, -5 in ascending order.\nAnswer: w, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a**3 - 53*a**2 - 96*a + 20. Let f(o) = -16*o**3 + 77*o**2 + 144*o - 29. Calculate -7*f(z) - 10*s(z).\nAnswer: 2*z**3 - 9*z**2 - 48*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*z = 25, -31 + 45 = 4*i - z. Let k(w) be the third derivative of -w**2 - 7\/12*w**4 - 20\/3*w**i + 27 + 0*w. Differentiate k(o) wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 0*n - 30 = 0. Which is the third smallest value? (a) -309 (b) n (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 3*x + 3. Let n(z) = -3*z**2 + 2*z - 2. Let u(v) = -v**3 + 13*v**2 + v - 7. Let g be u(13). Suppose g = -2*d - 6. Give d*n(o) - 4*y(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090390 divided by -518?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-520)*-104*(14\/4 - 1). What is the highest common divisor of x and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 14 - (37 + -15) - -1 - 19.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*i + 4, 0*r = -4*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1d12 (base 14) to base 4\nAnswer: -1102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -181, -14, -1418, 1\/2?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/518976 and -27\/256.\nAnswer: 2075904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qggg when four letters picked without replacement from {z: 5, q: 4, g: 7, w: 2}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from eavear.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.001 (b) 0.01 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28820 (base 10) in base 2?\nAnswer: 111000010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -83 + 83 - 40*d. Let z be a(1). Is 7 a factor of z\/(-3) - (-14)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*n + 4*n - 3*a, 0 = 5*a + 15. What is the least common multiple of n and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2) - (-135 - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 5516*a - 16512.\nAnswer: -4*(a + 3)*(a + 1376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -5. What is the remainder when k is divided by (-1)\/(-4) - 22\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttfc when four letters picked without replacement from hvhvttrrfvrc.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + v**2. Let o(n) = -5*n**3 + 8*n**2. Determine o(x) + 6*u(x).\nAnswer: x**3 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 20 = 4*t, t - 5 + 0 = 3*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 8, x: 7}. What is prob of sequence aaa?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2444241 + 3?\nAnswer: 2444244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 59 = -0*n. Suppose 31 = r - 4*k, 3*k - 49 = -3*r + n. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccicmiixccxci. Give prob of picking 1 m and 1 x.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Suppose -13*d = -19*d - 6*d + 60. Sort -3, r, d.\nAnswer: -3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131514, -263262, -395244, -527460?\nAnswer: -659910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 29. Let o be f(13). Let p be (-2)\/(-3)*(-3 + 15). Suppose 2*w + u = 12, -p = -4*w + u + 10. Sort -5, o, w in ascending order.\nAnswer: -5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 45. Solve -2*g + g - 2*q = 0, 3*g = -i*q - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13408*v - 26631*v + 13350*v.\nAnswer: 127*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 41. What is the units digit of b(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 8 - (-14)\/2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23490 and 3510.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668916 greater than 3668914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48474 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 1100?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13461 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/84 - w**6\/60 - w**5\/8 + w**4\/24 + 2*w**3\/3 + w**2 + 41*w. Solve t(g) = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1429*i - 23. Is a(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - 3*h**4 - h**4 - 2*h**3 + (4 + 3*h - 4)*(5 - 5 - h)*(-4*h**2 + 4*h**2 - h**2).\nAnswer: -4*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 478038 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + q = -q - 84, -c - 4*q = 27. Let h be (-1)\/2 - 370\/4. Let m = c - h. What is the highest common factor of 69 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060481124?\nAnswer: 2, 13, 17, 193, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f + 303 = 48 - 329 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 316*p**3 - 942*p**2 - 940*p - 313.\nAnswer: -(p + 1)**3*(p + 313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8670 + 8675. Let z = -24 - -73\/3. What is the third biggest value in -1, z, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/4))**(-27)*(y**2)**(4\/15) assuming y is positive.\nAnswer: y**(-1183\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:48 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(-30 + 14 + 24) + (-4 - 2 + 3)*(-4 - 2*i + 4) + (1 + 1 - 3)*(0*i + i + 2*i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -9 (c) 5778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 9*a + 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose -d*b + 24 = -2*b. Calculate the highest common factor of 24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*j + 0*j - 5486331 + 132504 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2255 by 92.\nAnswer: -2255\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 9)*(2*x - 2*x + x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205603847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -5, -25 in decreasing order.\nAnswer: -0.6, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pwppwppppw?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 24 = o, -19*f - 24 + 8 = -3*f - 16*f - 4*o for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - 2*w**2 + 4*w**2)*(1 + 2 - 4) + (-3*w + 8*w + 4*w)*(-2 + w + 2) in the form p + d*w + j*w**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {l: 9, k: 1, z: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/35)\/(216\/42 - 5). Let c(v) be the first derivative of -13*v**2 - v - 3. Let w(p) = -5*p. Let t(l) = -2*c(l) + 11*w(l). What is t(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-6)*(-15)\/70. Factor 1\/4*y + q*y**3 - 1\/2*y**2 + 0.\nAnswer: y*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*n + 2 = 2*c, 3*n + 29*c = -39*c + 70*c + 112 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 2*l**2 + 4*l**2)*(4*l + 0*l - 2*l) - 4*l**3 + 0*l**3 - 45*l**3.\nAnswer: -47*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + o + 0*o)*(-81 + 55 - 93).\nAnswer: -595*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32510 - 32507. Determine b so that -1\/2*b + 0 + 0*b**i + 1\/2*b**5 + b**4 - b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*u + 33, -v = -3*v + 3*u + 21. Let x be 1*-6*v\/9. Let y(f) = -23*f + 1. Is y(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-11)*(b**(-3\/2)\/b)\/b)\/(b*b\/b**(-1\/8))**23 assuming b is positive.\nAnswer: b**(-499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 8. Let k be h(6). Let j = -1 - -3. Suppose -j*f = -3*f + 4. Is f bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojgpopoyjajo. Give prob of picking 1 p, 1 a, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.45 (b) 1\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160009401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 58. Let q be 10\/(-15) + 1 + 44\/z. Is 226 - 5\/(q\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/156 and 91\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2470 + -2351. Calculate the highest common factor of t and 340.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {j: 7, z: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*h**2 + h**2 - 2 + h**2 + h**2 - 3*h**2 + (3*h - h - 3*h)*(-h + 0*h + 3*h).\nAnswer: -5*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10344.3, -11, 0.1 in ascending order.\nAnswer: -10344.3, -11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 763492690?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62544 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/62065395 and 11\/15.\nAnswer: 62065395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:09 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1387, 2767, 4147, 5527?\n\"Answer: 1380*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -10 + 8. Suppose t*m - 14*m = 36. Put 1, -1, -159, m in increasing order.\nAnswer: -159, m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 10*n**2 - 17*n + 11. Let q be a(8). Solve v - q*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93.86 + -93.46. Let t = 14.9 + -15. What is the closest to 0.13 in t, v, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823385 is divided by 8943?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d**4 - 1\/60*d**5 - 21*d**2 + 0*d + 2\/15*d**6 + 0 - 5\/6*d**3. What is the units digit of g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 278*f + 295. Calculate z(0).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*o - 10, -4*k - 2*o + 15 = -7. Let r(p) = 4*p**2. Let x be r(5). Suppose 5*i = i + 2*c + x, -k*c - 16 = 0. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233392517476\/24271605 - 2\/4854321. Let c = -9612 + f. Calculate the common denominator of c and 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y, 0*g - 4*y = -3*g + 18. Solve 0 = x - 6*x + 3*f + 37, g = -2*x - 5*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -373.\nAnswer: 9\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1267 and 45431.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h**3 - 83049*h**2 - 114117*h + 103770 = 0.\nAnswer: -3459, -2, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a week in hours?\nAnswer: 2562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 3*f + 1. Let g be v(1). Let s = g - -3. Suppose -o + 3 = -s. What is the remainder when 13 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g**3 + 6*g**2 + 17*g - 15. Give f(4).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1725 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from iwiiiiiwiiiiiiiwiiii.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 190439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1668 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 206249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - 5. Let t = 42.2 + f. Which is greater: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*d + 6. Let w = -3 - -8. Suppose 85 + 104 = w*c - d*t, -6 = 3*t. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - -8)\/((-1)\/4). Suppose -k*p - p + 10 = 5*v, -34 = -5*v + p. Calculate the smallest common multiple of v and (-3 - 0)\/(6\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525\/(-4680) + 2\/(-48).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6416 and 401?\nAnswer: 6416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 31 - 11. Let g(b) = -b**3 - 3*b**2 + 4*b - 1. Let r be g(-4). Let y be (a - r) + 1 + -2. Solve 0 = 4*x + 3*w + 26, 0 = 3*w + 1 + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (4\/(-1))\/(-2). Suppose 2*l - 14 = 3*p - 7, 3*l + 27 = -3*p. Let y = 3 + p. Is x != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 3, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - a)*(2 + 1 - 1)*(7 + 0 + 8 + (1 - 5 + 2)*(-4 + 0 + 6)).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/104328840 and -151\/3360.\nAnswer: 417315360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**2*k**4*y - a**2*k - a**2*y + a*k**4 + 9*k**4*y - 53*k**2 wrt k?\nAnswer: 72*a**2*k*y + 24*a*k + 216*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*a, -5*r + 9*r + 3*a = -7. Let c(j) = -25*j - 2. Determine c(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**6\/120 + 3*h**5\/20 - h**4\/3 - 5*h**3\/6 - 3*h**2. Is t(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + (-16 - -10) + 12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o - 19*o - 25*o + 10*o.\nAnswer: -58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5276 divided by -5?\nAnswer: -5276\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13279326?\nAnswer: 2, 3, 23, 41, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 3*i - 4*i)*(0 - 3 + 5) + 8208*i + 5010*i + 22 - 22 to the form g*i + f and give g.\nAnswer: 13214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 - 158. Suppose 2*l - 4 = -3*u - 0*l, l = b*u - 5. Solve 4*k - 2 = u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2. Let b(d) = d**2 - 5. Let c(g) = -2*b(g) - 5*s(g). Let x(f) = -6*f. Calculate x(c(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1058652 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 13*g**2 - 13*g - 66. Calculate c(14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6 - (-141)\/2. Let l = -15 - -44. Let r = l + -1. Calculate the greatest common divisor of r and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 16*w - 38 = -143. Let l(i) = i**3 - 4*i**2 + 5*i - 2. Let c(j) = 2*j**3 - 5*j**2 + 6*j - 2. Determine w*l(r) + 2*c(r).\nAnswer: r**3 + 2*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 3280131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 11*o. Suppose o = -5*z + 4*l - 1, -3*z - 5*l = -2*l - 21. Factor 4*p + 49*p**2 + p**z + 52*p**2 - 93*p**2 + 3*p**3.\nAnswer: 4*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3024 and 47\/15960.\nAnswer: 287280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -150. Find the common denominator of (4 - g\/50) + -2 and 95\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, f: 4, h: 2, s: 6, m: 1}. What is prob of picking 1 t and 1 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-105))\/(2\/(-5)). Let r(t) = -t**2 - 23*t + 12. Let h be r(-24). Let j be (-9768)\/(-8415) + h\/10. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1154 + -5?\nAnswer: 114a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -7. Let w be z\/(3 + (-1 - 1)). What is the greatest common divisor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 + 126.916. Let j = -1.084 - o. Which is the nearest to 0? (a) 2\/3 (b) 3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -489 - -1543. What is the remainder when h is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*y + 30, y - 3*y - 5*v + 12 = 0. Suppose y*g = 3*g + 15. Let x = 17858 - 17841. Solve 2*q + 2*q = g*j + x, q - 4*j = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgggfdfgdffffdffdic. What is prob of picking 3 g?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let h = -19 + 33. Calculate the remainder when h is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ooxoaoxoauo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3144499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -bcbb (base 15) in base 3?\nAnswer: -2000212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + -1 + sqrt(17)*1 + 4)**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evevvvvveevve. What is prob of sequence ve?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-126)\/4*14\/(-21) + 1 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 37*w**4\/12 - 5*w**3 - 108*w + 60. Let j(p) be the first derivative of a(p). Find the second derivative of j(z) wrt z.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, l: 6, m: 1, s: 5}. Give prob of picking 3 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 * -0.056\nAnswer: 0.001736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207996, 208151, 208406, 208755, 209192?\nAnswer: 209711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5117523*a**4 - 3*a**2 - 821841 wrt a.\nAnswer: 122820552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14440 + 14440 + 116*b. Let p(c) = -18*c**2. Give h(p(i)).\nAnswer: -2088*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 10*y - 10. Let b be l(-4). Let k(v) = v + 11. Let x be -4*(-12)\/16*-5. Let g be k(x). Sort b, g, 17.\nAnswer: g, b, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.5433849ns to weeks.\nAnswer: 0.00000000000001577940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4280799 decades in years?\nAnswer: 4.280799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (7 - (0 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 2*g**3\/3 - 3*g. Let l be j(2). Let y = -54 + 66. What is the greatest common factor of y and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 2*t**2 - t**3 + 18 - 9 - 14. What are the prime factors of g(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -25*q**3 + q**2 - 2*q - 4. What is j(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -454. Let y = -2936\/7 - s. Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 184, 4, -5 in decreasing order.\nAnswer: 184, 72, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.076?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200) + (sqrt(2200) - (sqrt(2200) - sqrt(2200)*-1)))\/(sqrt(8)\/(sqrt(16)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-9)*480\/100 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345475220?\nAnswer: 2, 5, 17273761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106.31632 + 0.05632. What is b rounded to the nearest integer?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32037875 less than -0.2?\nAnswer: 32037874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 5*c**4\/12 + 3*c**3\/2 - 4*c**2. Let j(r) = -5*r - 4. Let y(q) = 5*j(q) + 2*u(q). What is the units digit of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892399081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*z - 10 = 0, 5*z - 5 + 0 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 369487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17667 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 3*o - 12. Let b = -9 - -14. Let i be q(b). Put i, 5, -5 in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(4\/(-50)). Suppose 6*z = 53 + 97. Calculate the greatest common divisor of l and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 15*y - 92. Let h be d(9). Solve 0 = 2*w - h + 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 + 232. Let i be (20\/(-35) - 162\/(-14)) + l. Suppose -2*j + j + 7 = 2*v, 5 = -2*v + 3*j. What is the greatest common divisor of i and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16032 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5032189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*12\/(-256)*-2\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 3*x**2 + 2*x + 2. Let n be s(2). Suppose 2*p + 3*z = 3 + 1, 2*p + n*z - 8 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31382*i - 31363*i + 62757*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 25*g + 34. Let n be f(-11). Suppose -2*h + 5*x + 28 = 0, -h + 0*x = -4*x - 20. Is h less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/210294 and 47\/30042?\nAnswer: 210294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 x when three letters picked without replacement from jhwljhwwjwwxxhwwww.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 97919*o**3 - 25.\nAnswer: -97919*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 7*b - 1\/4*b**2 + 0 + 1\/72*b**4 - 1\/18*b**3. Factor c(z).\nAnswer: (z - 3)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 + -85. Let g be (i\/(-10))\/((-1)\/5). Let a = -7 + g. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 2*n - 5. Let v(m) be the second derivative of -m**5\/20 + m**4\/3 - m**3\/6 - 2*m**2 - 937*m. Calculate -4*r(c) + 5*v(c).\nAnswer: -5*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 112 = z, 2*i - 335 = -5*z + 2*z. Suppose 5*y = 169 + z. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 * 0.05\nAnswer: 6.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, o: 8}. Give prob of sequence oos.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*a = -30, -3*q + 16 = -4*a + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + b + 35, 3*q + 20 = -5*b - 19. Let u(g) = -16*g + 15. Is u(q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:29 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in -0.2, 0.3, -0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let i = -3 - -2. Let s = i - -1. Which is the closest to f? (a) 0.2 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -128*f**3\/3 - 39*f**2\/2 - 2*f - 11. Find the first derivative of a(i) wrt i.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*i + 86. Factor 32*q**3 - 60*q**2 - i*q - 14 - 7*q**3 + 44 - q.\nAnswer: 5*(q - 3)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 2. Let k be n(2). Suppose -7 = -k*z - 1. Suppose -3*b + w = -29, z*b - 4 = -2*w - 2*w. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**30\/g**4)\/(g**(-1\/18)*g**(1\/8)))**(-7\/2) assuming g is positive.\nAnswer: g**(-13069\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*l - 36, 2*i + 60 + 6 = 3*l. Find the common denominator of -19\/11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 12*j + 11. Let k be u(-9). Let s = k - 63. Suppose -12 = -s*m + 2*z, -3*z = -2*z + 4. Solve -3 = x + m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/7 - 258*q**2\/7 + 783*q\/7 = 0?\nAnswer: -261, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**4\/4 - 8*z**3\/3 + 2*z - 2. Let k be r(-8). Suppose -k*v = 3*y - 2326, -3*v + 4*y = v - 4612. Is v 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 978884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*t + 17 = 0, s + 2*s - 7 = -t. Let i(u) = -u**2 + 4*u. Let x be i(s). Solve k = -5*m + 22, -3*k - m - 4 + x = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. Let o = 24.932 + -25. Let a = o + i. What is a rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(3\/14)\/t))\/t)\/(t*t**(-4\/11)\/t*t)*(t**(-4))**(-42) assuming t is positive.\nAnswer: t**(25895\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.26.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -11 + 567 + -603\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561 divided by -12292.\nAnswer: -561\/12292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327 - 322. Let g(t) = t**2 - 6*t - 3. Determine g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 697472344311\nAnswer: 697472344326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 422, 958, 1702, 2648?\n\"Answer: -l**3 + 113*l**2 - 10*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/204*2)\/(264\/(-352)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359509135 - -359509498.000678. Let r = a + -363. What is r rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/17 + 2 + -3. Let h = -37\/51 + v. Let o = -184312\/7 + 26330. Which is the closest to o? (a) h (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, s: 6, n: 1, k: 2, o: 3}. Give prob of picking 2 s.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42576*q*x**3 + 65*q*x + 433527*q + 2*x**5 - 2 wrt x.\nAnswer: -255456*q*x + 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 16, u: 4}. What is prob of picking 1 u and 2 c?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 8*y**2 - 6*y + 6. Let i be b(-7). Let t(f) = 2*f**2 - 11*f - 6. Let p be t(8). Let q be ((-17)\/p)\/(i\/8). Solve 0 = -3*v + q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - r = 3*r + 172, r = -2*c + 95. Suppose -54 = -5*u + z, -3*z + c = 5*u + 8. Is (-684)\/(-30)*u\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, a: 2, e: 1, m: 2}. What is prob of picking 1 m and 1 q?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 19*l - 6. Let d be w(10). Suppose 2*n + d = -2*r, -5*r = -2*r - n - 14. Factor 2\/5*i**2 - 2\/5 - 2\/5*i + 2\/5*i**r.\nAnswer: 2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31302 (base 15) to base 2\nAnswer: 100110000100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1775 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - g)*(3 - 3 - 1)*(5 - 10 + 6).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.215081ml to litres.\nAnswer: 0.007215081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -33\/1633052 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23127.27 + -22949. Let g = 178 - k. Round g to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/22 and -65\/516?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5281*q**2 - 5295*q**2 + 3*q - 5283*q**2 + 21262*q**2 - 5312*q**2.\nAnswer: 91*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -361 - -363. Suppose -5*g + b*j + 7 = 6*j, -2 = -4*g - 2*j. Sort g, 27, 1, -2 in increasing order.\nAnswer: -2, g, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*q - 6 = 0, 4*q - 35 = -2*a - 47 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 124.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3390 divided by 113?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q**4 - 2*q**4 + 1 - 2*q**4 - 1 + (2*q + 2*q**2 - 2*q)*(0 + 0 + 3*q**2).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmorrnmonmmmo. Give prob of sequence rm.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 5*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*x - 21*x + 60*x)*(-1 + x - 2*x + 0).\nAnswer: -15*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21*s - 20*s - 3862 = 0, 4*f = s - 3089. Let p = f - -943. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 17, 27, 37, 47?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*b**2 + 245*b**2 - b + 198*b**2 + 655*b**2 to k + j*b**2 + i*b and give j.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1270 and -177?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -50*o**3 + 14*o**2 + 65*o - 11. Is 54 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.12 + 0.32. Let b = a - -0.8. Let u = -245\/2056 + -3\/514. What is the nearest to -1\/3 in b, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4.05. Let b = i - -0.01. Let n = -0.051 - b. What is n rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42373163?\nAnswer: 7, 17, 356077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -205 + 299 + -58 + 0 + -14 + -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*-1*2\/(-90). Let s be (26\/6)\/((-3)\/(-531)). Suppose 768 = y + s. Is y at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0535 take away 12722?\nAnswer: -12722.0535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1094\/3 - 365. Which is the second biggest value? (a) k (b) -134 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 2, f: 1, y: 2, z: 1}. What is prob of sequence wwf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 67*c**2 - 33*c. Let s be y(1). What is the greatest common factor of s and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71666, 143310, 214918, 286472, 357954, 429346, 500630, 571788?\n\"Answer: -3*u**3 + 71665*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*v**2 + 23*v**2 + 61*v**2)*(0 - 4 + 2 + (-5 + 1 + 0)*(0 - 2 + 4) - 2 + 2 - 2 + 0 - 1 + 2)*(-6 - 5 + 1).\nAnswer: 4510*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + p = 2*q + 5, -2*q = -p + 3. Is 9 - 6 - ((-1464 - q) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9*w - 10. Let r(c) = 2*c**w - c**2 - 3*c**2 - 5*c**2. Let y(b) = 2*b**2. What is y(r(l))?\nAnswer: 98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12782 and -0.22838?\nAnswer: -2919.15316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 146, 396, 744, 1190?\nAnswer: 1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 25*o**2 - 29*o. Is 18 a factor of b(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c550 (base 15) in base 3?\nAnswer: -2010012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 - 7*i**3 - 11*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-36) - 1*4\/(-12). Let i = -5.6 - -6. Let r = -0.0125 - 4.9875. What is the closest to h in r, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 22*m - 263. Give i(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*a = -223*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8824 less than 8822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/20 + c**4\/12 - c**3\/6 + 14*c**2 - 53*c. What is r(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 + 2889*d**2 - 696969*d + 694083 = 0. Calculate d.\nAnswer: 1, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3700 and 2590.\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 100 - 50. Suppose 12 = -2*u - d. Let a = 79 + u. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 358 = -5*r, -4*r = 2*z - 99 - 93. What are the prime factors of z\/6 - (-9)\/(-27)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1358189.299997 - 1358191. Let p = g + 1.7. What is p rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2251*s - 689. What is the thousands digit of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 267*r**2 + 44066*r - 185. What is p(96)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poep when four letters picked without replacement from epqooreeqzezzeoppez.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 947370 and 2346.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.14395953 + 4.144. What is a rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11058 is divided by 106?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.3, -1.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -609 - -668. Calculate the remainder when z is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2*q**2 - 5 + 9*q.\nAnswer: 2*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075831825 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(2*sqrt(8)))\/(4*sqrt(90)) + 0)*1.\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2*sqrt(11) + -4 - sqrt(11) - (sqrt(11) + 4*-2*sqrt(11)) - 4*-6*(sqrt(55)\/sqrt(5))**2.\nAnswer: 5*sqrt(11) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/5 (b) -3\/4 (c) 0.12 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/60 - 7*u**4\/24 - 149*u**3\/6 - 163*u**2. Let q(l) be the first derivative of k(l). What is q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47859*u**3\/2 + 47865*u**2 - 47883*u\/2 + 6.\nAnswer: -3*(u - 1)**2*(15953*u - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - 504*l + 81899. Calculate j(78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04982 and -364425.\nAnswer: -364424.95018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00374142 to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 17*j - 39. Let o(h) = 3*h**2 + 52*h - 120. What is 2*o(c) - 7*v(c)?\nAnswer: -c**2 - 15*c + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 2*u, -o + u + 2 = -1. Suppose -4*g - 4*x + 32 = o, -g + 3*x - 12 = -2*g. Let n be (-4)\/25*15\/g. Sort n, 2\/5, 4.\nAnswer: n, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*d + 28 = 100*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -44. Suppose -6*r + 52 = -2*r. What is the remainder when r is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-2 - (sqrt(88)*-2)\/sqrt(8) - -6*6*sqrt(22)\/sqrt(2))**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151919 + t**2 - 303762 + 151843.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 20 = 0, -19928 = 7*w + 5*g - 19962 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1978 + -965. Suppose 0 = -5*w - 4*s + 1264, 2*w + 5*s - 319 = 190. Suppose -5*t + v = -w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 29634946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**2 + 12*l + 10. Let a(p) = 7*p**2 + 12*p + 10. Suppose j - 72 = -11*j. Let r(z) = j*a(z) - 5*h(z). Factor r(g).\nAnswer: 2*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 342396690*m**3.\nAnswer: -3*m**3*(m - 114132230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c + 85*c = -25*c + 33*c - 429 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 305118 and 2376?\nAnswer: 3661416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -2\/17 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10674 and 25302.\nAnswer: 45012258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n + 56. Let y be v(-4). Let w be (-4000)\/(-165) - y\/12. Is w at least 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (115\/10)\/((-2)\/(-24)). Let o be x\/(-4)*(-40)\/6. Suppose -4*m - 2*f = -o, 2*f = -3*m - f + 180. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -8. Let k = s - -29. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742232959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 110408 - -2?\nAnswer: 11040a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 + -1207\/5. Let a = -0.09 + -3.91. Let l = -2 - a. Is w at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23378*l**3 + 140230*l**3 + 17773*l**3.\nAnswer: 181381*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164 - 109. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -21*w**3 + 39*w**2 - 48*w. Let g(l) = -2*l**2 + 12*l - l**2 - 7*l**2 + 5*l**3. Let s(n) = 2*d(n) + 9*g(n). Solve s(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 462 - 225. Suppose 18*i + 21 = k. Calculate the lowest common multiple of i and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236610600 + -5?\nAnswer: -236610605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/16)\/((-4)\/32). Suppose 0 = -g - 5, -z = -g - 2 - i. Solve 2*c = a - 5, 3*a + 0*a + 21 = -z*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(891) + sqrt(891)*1 + -4 - (sqrt(891) + 1)*-6)*6)**2.\nAnswer: 10368*sqrt(11) + 2053012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-650 + 650 - 4*m**4)*(m + 0*m + m + 1).\nAnswer: -8*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45620*t + 77520 = 46266*t for t.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -19169?\nAnswer: 19166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 348867\/3518819 + 5\/((-215)\/2)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 86, 58, -7, -12, 3 in decreasing order.\nAnswer: 86, 58, 3, -3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -16*i**7\/245 + 38*i**6\/35 + 51*i**5\/14 + 7*i**4\/2 + 11*i**3\/7 - 766*i**2. Solve q(j) = 0.\nAnswer: -1, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - -3e?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*u - 4*m + 20, 13 = -u + 3*m. Let c be (u + 2)*(-5)\/(-1). Let n(l) be the first derivative of l**3\/3 - 5*l**2\/2 + 7*l + 167. Give n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 - (-12 + 5 + 9) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (1 - 1) + -22. Let w = l + 48. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15179985 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-796*(-274)\/2480933)\/((-4)\/42)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 + 18327*h**2 - 27980745*h - 27999075 = 0. What is h?\nAnswer: -1, 3055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16157190437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/204 and -149\/608820?\nAnswer: 10349940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*-48\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 318371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2538\/4477?\nAnswer: -2538\/4477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 = -0*p. Let v(r) = -r**2 - 5*r + 3. Let q be v(p). What is the second derivative of -8*z + q*z + 3*z**5 - z - 5*z wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14712 and 129956?\nAnswer: 779736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)*(2 - -3). Suppose -5*p + 9 = -r*f + 69, 3*p + 6 = f. What is the greatest common factor of 120 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 9*a**2 - 8*a - 8. Let z(t) = -t**3 + 12*t**2 + t - 3. Let s be z(12). Let o(l) = -2*l**2 - 2*l - 2. Calculate s*o(k) - 2*y(k).\nAnswer: 2*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1120439008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 278 - 65. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001009026 to five decimal places.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 630.714 kilograms?\nAnswer: 0.630714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:34 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143564 is divided by 602?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 247 + 123 = 0. Let d = 127 + p. Let b = -38 + d. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let m(f) = -f**2 - 7*f + 10. Let d be m(-8). Determine g, given that 2*g**d - 2*g + w*g + 4*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(15)\/sqrt(80)*-3)**2*-5.\nAnswer: -1215\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 735\/3 + 18\/6. Suppose g*a - 251*a = -6. Let y(v) = 2*v - 3. Let j(x) = 1. Give a*y(n) + 6*j(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 1. Let p be t(-6). Let x(b) = -b**3 - 2*b**2 + 8*b + 7. Suppose -8*w - 58*w = -726. Calculate the remainder when x(p) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3, z: 7, i: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*p**3*x**2 + 2*p**3*x - 26*p**3 - 1321*p**2*x + 28346*p*x**4 - 9*p*x**2 - 2*p*x wrt x.\nAnswer: 30*p**3 + 340152*p*x**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n + 12. Let z be u(-14). Suppose -q - z = -7*q. Suppose -14*j - 171 = -q*j. Which is greater: j or 17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8436.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtjojwlxljlotojwl. Give prob of sequence jxt.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117701?\nAnswer: 117701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w. Let s(m) = -556*m**2 - 3*m. Give s(i(z)).\nAnswer: -8896*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttktkkttktk. Give prob of picking 4 k.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 259*b**2 - 5*b + 17. Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970135 is divided by 283?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2828*a**3*c**5 - 583*a**3*c - 2*a**2*c**2 - 5*a**2*c wrt c.\nAnswer: -56560*a**3*c**3 - 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 - 5*j**2 + 51)*(-18*j**2 - 6*j**2 - j**2) as g*j**4 + r + q*j**2 + o*j**3 + b*j and give g.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, -2\/5, -0.5.\nAnswer: -0.5, -2\/5, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3186, -6388, -9594, -12798, -15994, -19176, -22338?\n\"Answer: m**3 - 8*m**2 - 3185*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 198, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2212*w - 2208*w - 36 = 0, 0 = j - 2*w - 3 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-25))\/((-27)\/((-24192)\/28))*-10\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11011000111000?\nAnswer: 11011000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**7\/105 + o**5\/15 - o**3\/3 - 255*o**2. Solve n(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*f = 152*f - 201*f + 6384 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 + 882*s**4 - 63027*s**3 - 266412*s**2.\nAnswer: -3*s**2*(s - 149)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 342*i**2 - 4277*i - 15. Determine m(329).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**3 - 14*g**2. Let c(t) = -t**3. Let z(x) = 3*c(x) + k(x). Find the third derivative of z(v) wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4103840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 not equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 8 + 17, -l - 4*z - 319 = 0. What is the common denominator of -3\/7 and -3 + 1 + 0 + l\/36?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-2 + 5 - -5*sqrt(3)*-1)*3)**2.\nAnswer: -630*sqrt(3) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13919329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2155138\nAnswer: 2\/1077569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/49567?\nAnswer: -3\/49567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4260 + 1812. Let s = 2448.07395 + w. Let m = 0.074 - s. Round m to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862865 is divided by 730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116.74 + 113. Let f = -3.740187 - g. What is f rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (-2 + 2 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 654 and 995061.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2\/5 (c) -5 (d) 9 (e) -1\/3 (f) 84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, t: 2, s: 1, i: 2, w: 2}. What is prob of picking 1 w, 2 t, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -708164, -1416319, -2124466, -2832605, -3540736, -4248859?\n\"Answer: 4*d**2 - 708167*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 + 0.04. Let y = m + 0.08. What is the second biggest value in y, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44016 - -61769. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1471 + 1474. Solve -x*c - 3 = 0, 4*k + 6 = 5*c - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 63 = -4*m - 95, 57 = -4*m + 9*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(14*l + 18*l - 9*l)*(-1 + 1 - 2*l).\nAnswer: 138*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -28. Let y be -3 + p + 1 + 2. Suppose -4*n + 589 = -y*n - 3*s, -5*s - 15 = 0. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*y - 73*y - 2*y)*(-2 - 1 + 2)*(2 + 3 - 3) as t + v*y and give v.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 298 = 5*i + 72, t + 3*i = 66. Suppose -15*x + 78 = -t. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -3*b**4\/4 + 25*b**3\/9 - 2*b**2 - 4*b\/3 - 4. Factor c(h).\nAnswer: -(h - 2)*(h - 1)*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2504 - 2507. Let s = -3.92 - 0.08. What is the third smallest value in -2\/11, -1\/2, g, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 27 = c - 1, -5*c - 10 = 0. Calculate the remainder when 91 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**3\/6 - 41*v**2\/4 - 311. Factor f(l).\nAnswer: l*(l - 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337435321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 2*s**2 + 2. Let g be p(-2). Let h be 1 + (-4)\/5 - 5264\/(-5). Suppose b = -5*o + h, 0 = o + 4*b - g*b - 207. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 18 - 6. What is the nearest to -3\/4 in -2\/17, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1*30\/6. Let b = -6 - t. Suppose -v = b*v - 30. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttftntnzccnnstccscn. Give prob of sequence nncf.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24949747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 15.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216462*h**3 - 57244*h**2.\nAnswer: 1298772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - f**3 - 2*f**3 + (-2*f**3 + 5*f**3 - f**3)*(-2 + 1 + 2) + f**3 + 4 + 2*f - 4.\nAnswer: 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5229188.\nAnswer: 2, 23, 113, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13586119 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: Sort 118, -4, -2.\nAnswer: -4, -2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1231.9 + 1232. Which is smaller: o or -201\/7?\nAnswer: -201\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/26180685 and 88\/15?\nAnswer: 26180685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let l be (6\/18)\/(14\/(-6)). Let u = 263 + -2899\/11. Which is the nearest to 0? (a) u (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:34 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Suppose -p + 48 = -4*k + 192, -4*k - 4*p + 144 = 0. Let y(s) = 117 - 41 + 127*s - k - 42. Calculate n(y(c)).\nAnswer: 16129*c**2 - 508*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 56 - 56 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 3, x: 9, l: 6}. Give prob of picking 1 x and 1 c.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51\/(-34) + 170\/4. Suppose 24 = 5*b - g. Let s = b + -7. Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 36*t + 9*t + 6 as u + o*t and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 16*c**2 - 2*c + 1. Suppose 10 - 26 = 4*x. Let u be y(x). Is u*3\/9*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-3\/8))\/g*(g*g**(-6))\/g*g)\/(g\/(g*g**6)*(((g*(g*g**3)\/g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-27 - (-33 + 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 93?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.28 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.7001. Let v = o + -0.007. Round v to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 2*p**3 - 7*p - 9. Differentiate s(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-9) + 1062\/1134)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*q + 83*q + 132*q + 28258 = 0. Calculate the remainder when 1570 is divided by q.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*m = -5*z + 23, 5*z = m + 26. Let s = 23 - 20. Suppose -j + 16 = -s*q - 0, -j - 2*q = 4. Solve 5*h = z*y - 15, -j*y = 4*h - 3*h - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 27*v**2 - 40*v. Is o(25) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3832631.\nAnswer: 11, 348421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 58536.85 hours?\nAnswer: 210732660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36394?\nAnswer: 2, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 356 + 165 = 51*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*v = -14, 3*q - 8*v + 3*v = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - 5*r**4\/8 + 23*r**3\/6 - 10*r**2. Let m be c(-16). What is the greatest common divisor of 35 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-10) - (-2)\/5. Let x(b) = 5*b + 0*b + 0*b + b**3 - 211*b**2 + 2 + 207*b**2. Does 11 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 63*k + 2321. Give i(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/9 + 40*b**3\/9 - 46*b**2\/3 + 164*b\/9 - 64\/9 = 0.\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**3\/3 + 2*a - 1. Suppose 3*j - 2 = 4*j. Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p**2 + 6*p. Let z(n) = 59*n**2 + 29*n. Let u(m) = -11*g(m) + 2*z(m). Find the second derivative of u(l) wrt l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2194590 take away 0.33502218?\nAnswer: -2194590.33502218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:30 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 9*g - 2. Let h be d(-9). Does 5 divide (10\/(-4))\/(h\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 200*y**2 - 24*y - 24. Let h be r(-1). Let q = h - 198. Solve -4*i - 19 = i - 2*x, -q*x = 2*i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 355 - 361. Solve -x - 4 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46\/175 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420769008.\nAnswer: 2, 3, 11, 103, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23128, -23110, -23092, -23074, -23056?\nAnswer: -23038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34777830 divided by 83802.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5304 = 74*u + 642. Solve -5 - u = 17*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2354?\nAnswer: 1\/2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbbb. What is prob of sequence bzbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/(58646\/1534))\/((-1)\/21)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 384823787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2\/(-8)))\/(2736\/72)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = -6*t - 4*h, 0 = -2*t + 5*h - 15. Suppose t = -2*z - 3*z + 30. Let s(b) = -2*b**2 + 10*b + 3. Let o be s(z). Which is greater: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 8:10 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 220, 166, -40, -428, -1028?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12998 is divided by 200.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + 2 + 29 + (-41 + 34 - 16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.4, 4, -2\/11, 6, -0.5 in descending order.\nAnswer: 8.4, 6, 4, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -32382, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, -0.1, -1\/9, 33.7, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -102 + 102 + 2*o**2 + 2*o**2. Let s(r) be the first derivative of -2*r**3\/3 - 105. Calculate s(y(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*n - 4*k + 10 = -522*n, -12*n - 9 = 2*k + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let d(l) = 42457*l - 173. Give d(j(q)).\nAnswer: 42457*q**2 - 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 162235596.\nAnswer: 1784591556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssslllsssslspslsls. What is prob of sequence ps?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222449 a multiple of 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*f = 0, 0 = -b - b - 5*f + 35. Let m be 8\/(-8)*b + (-5)\/(-1). Let y(p) = p**3 + 4*p**2 - 5*p - 6. Let c be y(-5). Which is bigger: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10177450 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3941 - 4167.9. Let q = h - -227. Let d = -24 + 14. Put q, -0.5, -2\/3, d in descending order.\nAnswer: q, -0.5, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 9 = -c. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, 66, 124, 216, 348, 526?\n\"Answer: k**3 + 8*k**2 - k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 6) to base 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/(-12) + (-1)\/(-6). Solve 0*w = d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*i - 28 + 8, 2*i - c = -4. Suppose 3*y = p - 9, i = -2*p + p - 3. Calculate the remainder when 20 is divided by (-3)\/4*-4 - y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/3))**(19\/4)\/((h*h*(h\/h**7)\/h)\/h**(-1\/6)))**(4\/11) assuming h is positive.\nAnswer: h**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 2.1\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 275149 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/((-1)\/(-12)). Let b be -1 - 2\/1 - -7. List the prime factors of 39\/o + 1\/b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5179 and 59.519?\nAnswer: -308248.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - (-7)\/6) + (-897)\/90 and -83\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 12 = 5*h. Suppose 2*p = -2*u + h*u - 230, -3*u - 4*p = -338. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - o**2 + 66 + 5.\nAnswer: -o**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.9 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose -4*i = -3*s - 2*i + 83, -5*s - i = -134. Suppose s*t - 35*t = -16. Solve t + 4 = -f*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:49 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*x**3 - 424*x**4 - 399 - 10*x**3 + 329 - 450 with respect to x.\nAnswer: -1696*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*c + 92 = -2*g, 91 = -3*g - c. Let o(n) = -16*n + 2. Let q be o(-4). Let d = q + g. Calculate the greatest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, w: 2}. What is prob of picking 1 w and 2 x?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.58 * -42932\nAnswer: 153696.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 17*v + 52. Let l be u(11). Is 65 a factor of -6 + 3 - (-1815)\/((-15)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334081?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1129*k + k**2 - 583*k - 561*k + (0*k - 3*k + 2*k)*(-4*k + 2*k + 4*k))*(-89 + 30 + 25)*(-6*k**3 + 4*k**3 + k**3).\nAnswer: -34*k**5 - 510*k**4 - 68*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*j + 64 = 0, -2*k - 7 = -3*j - 37. Suppose -52*n = -60*n + 216. Let r be (-1 + 2)*48*n\/12. What is the highest common factor of r and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.79 to zero dps.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 373728 and 716448.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240919448 is divided by 397.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15286?\nAnswer: 2, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11256152993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 8) to base 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) + (-14)\/(-4). Suppose -i*q - 5*a = -380, -155 - 71 = -3*q - 5*a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -27. Let k = -13 - r. Let d = k + 157\/6. What is the third smallest value in 3, -2\/7, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518067 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542580819 to the power of 1\/3, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*b = 263*b - 258. Solve -n + b*u = u, -n - 5*u - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -572 - -2287. Is v a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 2*d**3\/3 - 4*d**2 + d + 11. What is the units digit of g(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8513728436 - -0.1557?\nAnswer: -8513728435.8443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -2\/3 (c) -23189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.36833578716 and -0.7.\nAnswer: -1.06833578716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)\/sqrt(128) + sqrt(38))*5*5)\/(-5*2*sqrt(162)*2).\nAnswer: -25*sqrt(19)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*r**3 + 6.\nAnswer: 159*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1765*q**2 - 37*q - 149. Let b(m) = 353*m**2 - 7*m - 28. Give -3*a(v) + 16*b(v).\nAnswer: 353*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45102, 179608, 403808, 717708, 1121314, 1614632?\nAnswer: 2197668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/472)\/(4\/(-202)). Let n be 2\/7 - (-208)\/(-826). Let i = n - t. Which is the smallest value? (a) 2 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(-17)\/(p**(-1))**(-25\/2) assuming p is positive.\nAnswer: p**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 4\/10)\/(5\/100). Let k(r) = -11*r + 15. What is the tens digit of k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 13*b**4\/24 - 7*b**3\/3 + 11*b**2. What is the units digit of a(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21589 is divided by 878?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/6 (b) -210 (c) -6\/17 (d) 3\/2 (e) 1\/4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*z**4 - 12*z**2 + 76 with respect to z.\nAnswer: 88*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -27921 and 14133 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3399 by 531.\nAnswer: -1133\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198495*p**5 - 9843837*p.\nAnswer: 3969900*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*o - 955*o**4 - 1466 - 83*o + 392 + 28*o with respect to o.\nAnswer: -3820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1052320 = -1345*y + 1174715 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 457, -1172, -2787, -4382, -5951, -7488, -8987, -10442?\n\"Answer: j**3 + j**2 - 1639*j + 2094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -15*y**7\/7 + 6*y**3 + 5. What is the third derivative of f(s) wrt s?\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.632124918 to three decimal places.\nAnswer: 8.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 199 + 6\/3 - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -243599900 to the nearest 100000.\nAnswer: -243600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 6}. What is prob of sequence vf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 20. Let g = 37 - h. Solve 4 = g*u + f, -5*u = -f - 0*f - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 531.356 + 0.644. Let i = -532.0405 + k. What is i rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -5*d. Let r(k) = 7*k**2 - k + k - 2*k**2 - 5 - k**d. Calculate the remainder when 43 is divided by r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.89 - -0.11. Let v = -1.5 - -21.5. Let w = -19 + v. Which is the closest to w? (a) d (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + ((2*sqrt(605))**2 - (-2 + sqrt(605))) + -2.\nAnswer: -11*sqrt(5) + 2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -167*m**2. Let i(y) = -10*y + 12. Let h(t) = t + 1929 - 1934 + 3*t. Let g(z) = -12*h(z) - 5*i(z). Calculate o(g(q)).\nAnswer: -668*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -312655 - 0.09479?\nAnswer: -312655.09479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d76 - 50a?\nAnswer: 686a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 465, 461, 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5.7. Let p = -0.237 - -0.337. What is the third biggest value in p, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2 - 36*i**2 - 7*i - 22*i**3 + 9*i**3 - 5 + 29*i**2. Let a(j) = 4*j**3 + 2*j**2 + 2*j + 2. Give 7*a(k) + 2*r(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d - 12. Let i be 7\/(-14) - d\/(-4). Let b be 2 + 0\/(-2) - -1. Solve 0 = b*l + 3*y - i - 17, 20 = 4*l + 3*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240.6 + 269. Let i = z - 28. Let s = 9.2 + -9. Sort i, -3\/5, s in increasing order.\nAnswer: -3\/5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Solve 15 = i*g + 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*h + 2*q - 20, 0 = q. Suppose -9 + 25 = h*j. Suppose 10 = 2*z, -5*b + 395 = 2*z - j*z. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 109? (a) -0.5 (b) 4 (c) 10 (d) 0.9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 76*t - 3. List the prime factors of r(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(1 + 1). Let y be x*(195\/6)\/(-5). Suppose k - y = -5. Solve -3*o - k = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**6\/120 + j**3\/3 + j**2 - 2. Let g(p) be the second derivative of b(p). Differentiate g(k) with respect to k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from mmmmmmmmmmmmmmmmlmm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4 - 10. Let f be 2 - (2 + t) - -1. Let o be f\/(-8*2\/(-4)). What is the closest to -0.1 in -0.4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 235, 2822, 10109, 24448, 48191, 83690, 133297, 199364?\n\"Answer: 392*v**3 - 2*v**2 - 151*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9355579 + 0.110265\nAnswer: -9355578.889735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -42258066 divided by -44\nAnswer: 21129033\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-645)\/(-86))\/(1\/(128\/24))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/8 - 7*c**2 - 7*c. Let l(a) = 0*a**2 - a**2 - 2*a + 2*a - 2*a. Determine -3*l(z) - 2*s(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5\/322, 1, 3 in decreasing order.\nAnswer: 3, 1, -5\/322, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w - 2*q + 38 = 0, -15*q + 47 - 9 = 29*w - 13*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Let i(f) = -17 + 4 + 56*f**2 + 9 - 54*f**2. Calculate i(w(u)).\nAnswer: 8*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1250*w**2 + 40*w**3 + 1250*w**2 + 4*w**2 + 2*w**3 - 4*w**2 + (3 + w - 3)*(-w**2 + 4*w**2 - 4*w**2) - 23*w**3 - 12*w**3 - 13*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -8*d + 6*d - 240, 3*n - 4*n = 39 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 + 10. Let a be x(-5). Let d(v) = -24 + 14 + a - v. Let w(l) = 2 + 3*l - 2 - 4*l. Calculate w(d(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 c when three letters picked without replacement from {v: 2, m: 4, c: 1, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64 and 83.\nAnswer: -5312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 23555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/9*-9*2\/12. Which is the nearest to 0? (a) 2 (b) -4 (c) -2\/11 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**3 - 7*a**3 + 8*a**3 + (-2*a**3 + 2*a**3 - a**3)*(-1 - 2 + 4) + (0 + 0 - 2*a**2)*(0*a - 6*a + 4*a) + (a + a + 0*a)*(2*a**2 - a**2 - 3*a**2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-8)*11\/2. What is the greatest common divisor of i and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/3, 8, 75, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2876749?\nAnswer: 1531, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 2*v + 2*b, 141 = -3*v - b - 133. Let i = v + 98. Let o be (-1)\/((-5)\/5 + i\/(-2)). What is the smallest value in -4\/3, o, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-9))\/(103\/2781)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -31. Sort 2, j, -5 in descending order.\nAnswer: j, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4501, 9000, 13499, 17998, 22497?\nAnswer: 26996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 161 = 5*a, -2*a - o - 68 = -4*a. Let f(u) = 3*u + 38 + a - 5*u + 12. Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2\/2 - y - 3. Let h(v) = v - 4. Let z(c) = h(c) + 2*i(c). Determine z(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 8 + 492. Suppose -48*x = -o*x. Suppose 13*m - 14*m = -2. Solve 0 = 3*j - 2*h - 5, 0 = -h + m - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7819.278 meters to nanometers.\nAnswer: 7819278000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2 + 8*l - l - 5 + l**2 - 3. Let p(j) = -j**3 - 8*j**2 - 7*j - 8. Let s be p(-7). What is a(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 115\/(-115)*(5\/(-25) + 1\/5). Factor -t**2 + 0 - 2\/3*t + 1\/3*t**4 + o*t**3.\nAnswer: t*(t - 2)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29181.\nAnswer: 3, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 148, -185, -730, -1487, -2456, -3637, -5030?\n\"Answer: -106*v**2 - 15*v + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/36*-9*1\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 6. Let v be a(9). Suppose -4*o = -3*y - 12, 0 = 4*o + 3*y + y - v. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 9. Let s be f(9). Suppose 5*h + 4*z - 3688 = s, -5*h + 5*z + 186 = -3529. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 257, 518, 779?\n\"Answer: 261*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.099.\nAnswer: 0.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -753430183.11.\nAnswer: -753430178.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 472bab6 - -1?\nAnswer: 472bab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Let b = -27.8 - -25. Let i = b + 3. Put 5, i, j in descending order.\nAnswer: 5, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 174?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.608994 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**4 - 2*i**3 + 2*i**2 + 2*i + 9. Let l(w) = w**4 - w**3 + w**2 + w - 1. Let o(y) = -d(y) + 2*l(y). Find the first derivative of o(s) wrt s.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3101446 (base 7) to base 2.\nAnswer: -1011010011010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13012\/20 + 0 + (54\/(-15) - -4). Is d <= 648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 11*w**6\/6 - 2*w**5\/5 - w**2\/2 - 14*w - 37. Find the second derivative of n(a) wrt a.\nAnswer: 220*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*h - 20*h - 8. What is the third derivative of 4 + 12*c**h - 6*c**2 - 2*c**2 - c**5 - 9*c**2 - 3*c**6 - c**2 wrt c?\nAnswer: -360*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -0.2, 54, 74, 1\/3 in increasing order.\nAnswer: -0.2, 1\/3, 23, 54, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - s**2 - 6*s - 7. Let m(q) = -4*q**3 + q**2 + 5*q + 8. Let v(r) = 5*i(r) + 6*m(r). Let l be (-2)\/(-4)*(2 - -4) + -3. Give v(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181607706 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1848 and 147378.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-176))\/(60\/(-27840))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56e0 - 2?\nAnswer: 56de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/7 - 2410*i**2\/7 + 421592*i\/7 - 16586240\/7 = 0.\nAnswer: -1364, 64, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20893.\nAnswer: 17, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -157 - 4?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.3 (c) -3 (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - (-13 - -12)) + 20\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 8*c + 38*c - c - 9*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(69*c - 3 - 21 - 67*c)*(-2*c + 4*c**2 + 0*c**2 - 2*c**2).\nAnswer: -8*c**3 + 104*c**2 - 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from cgcdc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 + -28?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from {b: 4, u: 6, a: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2589, 13 in descending order.\nAnswer: 2589, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 4*a - 2. Let y be j(-3). Let q(z) = 9*z**2 - 2. Let u be q(-2). Let g be u\/16 + (-9)\/72. Is g >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:01 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*b = -136, 2*s + b + 58 = 4*s. What is the remainder when 106 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * -1.19\nAnswer: -2.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12322 (base 4) in base 16?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78400003 = -q - p, 5*q + 254090699 + 137909310 = -3*p. Round q to the nearest one million.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153769, 307529, 461289, 615049?\nAnswer: 768809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112021001 + -1?\nAnswer: -112021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -35*m**4\/3 - 7715*m**3 - 1572525*m**2 - 274945855*m\/3 - 26057130 = 0.\nAnswer: -281, -99, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 3*y + 90, -a = -5*y + 40. What is the units digit of a*(2 - 16\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15416\/123*(-153)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:21 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-1*sqrt(128)) - sqrt(114)\/(-3*sqrt(6)*-6).\nAnswer: -13*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-455)*28)\/((-2)\/15).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/11 and 11\/16955?\nAnswer: 186505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183.1 - -104.2. Let d = m - -70. Let a = d - -6.9. Put a, 0.1, -2\/5, -7\/6 in descending order.\nAnswer: 0.1, -2\/5, -7\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2383 + 2415 + 394*a - 391*a.\nAnswer: 3*a + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4778a3 (base 14) in base 6?\nAnswer: -124153303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45678, -45679, -45682, -45687, -45694, -45703, -45714?\n\"Answer: -j**2 + 2*j - 45679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350330921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 50961.99m?\nAnswer: 50961990000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 181 and -0.47.\nAnswer: 180.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrmrrm. Give prob of sequence rrmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 10:54 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adadiiraaiiariddrdri. Give prob of sequence iia.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l - 3*l - 5*l**2 - 8*l to the form k + s*l + f*l**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15645 divided by -5.\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((3*(2 + sqrt(1053)) - sqrt(1053)) + (sqrt(1053) - (sqrt(1053) + (-5 + sqrt(1053)*2 - sqrt(1053)))))*-4)**2 + -4 + 3.\nAnswer: 6336*sqrt(13) + 37567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.13714 years to millennia.\nAnswer: 0.08313714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93366?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 4\/5*(-385)\/(-14).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 904, 29, -5, -3 in increasing order.\nAnswer: -5, -3, 0, 29, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412930*l**3 - 413284*l**3 + 826213*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2\/5 + 5044*d - 25240 = 0 for d.\nAnswer: -6310, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 5*m - 5*m)*(m - 2*m - 3*m)*(3 + 0 - 6).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 5351461?\nAnswer: 5351504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.3 (c) -120\/19 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9960163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5483, 5509, 5535, 5561, 5587, 5613?\nAnswer: 5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) 15 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 4*k + i - 0*i, 0 = -6*k - 5*i + 936. Calculate the remainder when k is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000111010010101 (base 2) in base 3?\nAnswer: 121211121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -3\/2*x**2 + 4*x**3 - 1\/4*x**4 - 67 - 32*x. Find the second derivative of s(o) wrt o.\nAnswer: -6*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.242388 from 0.04.\nAnswer: -22.202388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 16*g + 32. Let c(p) = -2*p**2 - 14*p - 8. Let x be c(-6). Suppose -z - 15 = -x*z. List the prime factors of l(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1371\/28 - -1640\/7. Let g = x - 284. Let v = 6.4 + -6. Sort 0, g, v.\nAnswer: g, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 69*j - 124. Let v be r(2). Put v, 2, -2, 10 in decreasing order.\nAnswer: v, 10, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - (-5)\/(-360)*-6. Which is the second smallest value? (a) -0.1 (b) -14.8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 8)*(4*g**4 - 2*g**4 - 3*g**4) - 3*g**4 - g + g.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, -3, 0.048, -30 in decreasing order.\nAnswer: 0.048, -0.4, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 9*n - 164. Factor -1\/5*j + n - 1\/5*j**2.\nAnswer: -j*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 105\/75 - (2\/(-4))\/(3\/(-6)). Let f(k) = -k**2 - 10*k - 7. Let p be f(-9). Let m be ((-1)\/(8\/6))\/p. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -311*f**2 + 1567*f - 2. Let u be y(5). Solve 5*j = 60*w - u*w + 12, -2*w = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + p = -57, -5*p + 66 = 5*w - p. Suppose -j - t = 3*t - 55, 2*j + 5*t = 110. What is the remainder when j is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 33. Let f = v + -19. Calculate the remainder when 86 is divided by (f - 4)*-1*11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*b + j - 26 = -500*b, -5*b - j = -29 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 17*m**2 - 2*m + 21. Let n be v(17). Let h(l) = -6*l - 72. Let o be h(n). Solve 0 = o*p - 8 - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 6. Let x(z) = 29*z - 22. Give -3*h(m) + x(m).\nAnswer: 23*m - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 3*c - 3*b, -c + 2*b + 1 = 0. Let a = -35 + 68. What is the second derivative of 35 + c*y - 68 + a + 7*y**3 wrt y?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120))\/sqrt(5))\/(sqrt(12) + (sqrt(120) - (sqrt(120) + sqrt(120)*-2) - sqrt(120) - sqrt(120))\/sqrt(10)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 5. Let h(w) = 1. Let v be 42\/(-7) + -6 - -6. Give v*h(k) + m(k).\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 3*c + 3*c + 2*c in the form k*c + h and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240450352 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-169)\/26)\/(6\/(-4) + 1). Which is smaller: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 1 - 3 + 2*r**2 - 2. Let y be q(7). Suppose 2*f - 4*f + p + y = 0, 5*p - 62 = -2*f. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/6)*a*a**10*(a*a**3)\/(a**7\/a*a) assuming a is positive.\nAnswer: a**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)\/(s\/(s\/((s\/(s*s**(1\/13)))\/s))) assuming s is positive.\nAnswer: s**(44\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let o(t) = 4*t. Let h(b) = -4*b - 1. Let x(z) = h(z) - o(z). Calculate 5*u(j) + 3*x(j).\nAnswer: -4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 1, f: 1, u: 1, a: 2, n: 2}. What is prob of picking 2 n and 1 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1700047 (base 9) to base 2\nAnswer: 11100110101010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -101. Let q be 2\/2 + -3 + (13 - h). Suppose 3*p - a - 281 = 3*a, -2*a = q*p - 206. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Two letters picked without replacement from {h: 6, f: 5, p: 2, u: 3, l: 2}. Give prob of picking 1 p and 1 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Suppose 0 = 2*s - 62 + 56. Which is the third biggest value? (a) s (b) -4\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 + 615*i**4 - 2350*i**3 - 3750*i**2 + 21555*i - 16065 = 0. Calculate i.\nAnswer: -3, 1, 3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.81 - 7.984. Let l = z + 0.174. Which is the second biggest value? (a) 0 (b) -8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 69624?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(156)*-1 - sqrt(156)) + sqrt(156))\/sqrt(12).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4999 is divided by 2034?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22566, 90290, 203168, 361200, 564386, 812726?\nAnswer: 1106220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 36 = -5*r, r = 3*s - 14 - 6. List the prime factors of 441 - 6 - (4 + r).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105116 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7450289919.588620176 + 7388910783.27862. Let u = 61379137 + i. Let v = u + -0.69. Round v to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12*f + 10. Let l be i(3). Let z = -23 - l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195665 is divided by 195639.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166968 is divided by 83330.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 - 3. Let s be h(3). Is (1\/3)\/((-2)\/s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 2. Find the third derivative of -t**2 - w*t**5 + 5*t**2 + 0*t**3 + 0*t**3 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 1 + 0*f + 3*f. Suppose 5*t - 20 - 10 = 0. Let o(v) be the second derivative of 7*v**3\/6 - 7*v**2\/2 + 5*v. Calculate t*u(b) - o(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*d + 5 = 127*d - 2*o, -3*d - 6 = o. Let u(b) = b + 1. Let x(m) be the second derivative of -m**4\/6 + m**3\/2 + 3*m**2\/2 + m. Determine d*u(n) + x(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2 + (-18)\/(-12)). Let z(g) be the third derivative of 4\/15*g**3 + 10*g**2 + 3\/2*g**5 + 0 + 0*g - g**f. Find w such that z(w) = 0.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 + 3 = 4*f, -5*f = -2*q + 13. Let s(m) be the first derivative of 2*m**2 - 4*m + 1. Calculate the smallest common multiple of 22 and s(q).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {s: 1, t: 5, o: 1, k: 1, x: 4}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 1, w: 2, r: 1, q: 4}. Give prob of picking 1 q, 2 w, and 1 x.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 <= 5.175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 1, 2, -2\/13, -617064.\nAnswer: -617064, -2\/13, 3\/8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/120 + v**4\/24 + 2*v**3\/3 - 5*v**2. Let s(d) = 2*d**3 + 5. Let y(x) = 4*s(x) - 6*w(x). Solve y(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58565980.\nAnswer: 2, 5, 11, 19, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -537 divided by -1?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4282 + 4022. Let h(k) = -k**3 + 6*k**2 + 3*k - 7. Let y be h(-6). Let s = c + y. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -139, -302, -529?\n\"Answer: -32*r**2 - 3*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/34)\/o*o)\/o)\/o**7*(o**23)**(2\/21) assuming o is positive.\nAnswer: o**(-3455\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16963 + -2612. What are the prime factors of v?\nAnswer: 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 103, 134, 137, 100, 11, -142, -371?\n\"Answer: -2*h**3 + 4*h**2 + 49*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 15515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407715329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35250380 divided by 2\nAnswer: -17625190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/(195\/(-351))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484624859 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1\/(-21)*-7*12\/(-56)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 12 - (16 - 30 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -16. Let i = -9.636 + 0.136. Let r = u - i. Which is the nearest to 1? (a) -0.3 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909164461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 30571431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3351 or -834?\nAnswer: -834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399697 and 4379.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44865881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*k - 16*k - 31*k as n*k + c and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 + -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -972.1379?\nAnswer: 4860.6895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -94 - 1) + (51 - (145 - 80))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702276, -1404539, -2106800, -2809059, -3511316, -4213571, -4915824?\nAnswer: -5618075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 22632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2153770 and 20.\nAnswer: 4307540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -20199*z. Let m(t) = -18*t. What is x(m(h))?\nAnswer: 363582*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753870 is divided by 143?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 603462207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 444 + -198. Suppose -326 = 11*i + z. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23284 by 354.\nAnswer: 11642\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 10. Let t(f) = -1. Let o(k) = k**2 - 13*k - 18. Let g be o(14). Let m(j) = -3. Let w(x) = g*t(x) + m(x). Calculate n(c) + 10*w(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1468, -1472, -1478, -1486?\nAnswer: -1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-130)\/8 + 18\/(-24). Let k = h - -31. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.386 to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9 = -33. Suppose j - 5 + 2 = 0. Let d = z - j. Does d = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24891*v - 348536. Determine h(14).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/5 - (7 - 1)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -10. Suppose 61 - 9 = 26*x. Put x, 4, t in descending order.\nAnswer: 4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) - (sqrt(605) - (sqrt(605) + 1 + sqrt(605)))) + sqrt(20)\/(sqrt(16)\/sqrt(4)) - ((sqrt(75)\/sqrt(3))\/sqrt(5) + 4)) + -5)**2.\nAnswer: -352*sqrt(5) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:21 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*k + 32*k - 1 + 120*k.\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202 and 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4844170 to the power of 1\/2, to the nearest integer?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137191 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 + m + 1. Let n be 77\/33 - (-1)\/(-3). Calculate the remainder when 73 is divided by h(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 92\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 4*n + 5*n)*(-3*n - n + 2*n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -241*s**3 + 4*s**2 - 10*s - 27. What are the prime factors of c(-3)?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z = 78*z + 45 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.12, -1, 2, -4\/7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 69, 109, 155, 207, 265, 329?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52\/7 in 5, 0.022, -1\/7, 28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 2400.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -58\/535 (b) 5 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 9 = -4*a, -19 = -4*o - 3*a - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3412, 27, -3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-158)\/22 + 4 + 36\/12\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by ((1 - -25) + -31)*((-909)\/15 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 22*p**2 + 65*p + 676.\nAnswer: (p - 13)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2170\/(7 + 26316\/(-3762)). What is b rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 35. Let p = k - -32. Suppose p*b = 5, -2*v - 4*b = -6*b - 156. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/29, 4, 3, 0.19, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7000791 to the nearest 10000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let w(s) = 2*s - 6. Let k be w(4). Let b be (-36)\/21 - (-6)\/(-21) - -5. Let x(l) = 0*l**2 + b*l**2 + 3*l**k + 0*l**2. Give t(x(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2 + 2. Let d(v) = -v**2 + 1. Let x be d(r). Solve -8*s = -3*s - j + 18, -s + 3*j - 12 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/2 + 354*r**2 - 1349*r\/2 - 22239 = 0?\nAnswer: -7, 9, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*r - 3*c, 7 = 5*r + 2*c - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.3 + -0.3. Let z = k + -16.7. Let c = 1954\/6545 - 12\/935. Sort z, c, 2\/5 in descending order.\nAnswer: 2\/5, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360\/(-3080) - 13\/(-22) - 25\/(-62)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229219979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-17))\/(((-92)\/(-8))\/23)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**5 - 172*h**3 - 1637*h wrt h.\nAnswer: 160*h**3 - 1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211217307?\nAnswer: 3, 7, 10057967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 37120525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6547, -6541, -6535, -6529, -6523, -6517?\n\"Answer: 6*c - 6553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12275, -12248, -12213, -12176, -12143, -12120, -12113?\n\"Answer: -i**3 + 10*i**2 + 4*i - 12288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783 = -22*s - 7*s. Calculate the remainder when 814 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54237.00034719 + 54237. What is d rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 11*s - 13. Let b be p(9). Suppose 15 + 5 = b*t. Let c be -1 + (2\/(-2))\/(-1). Solve c = i + t*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006801 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -194988, -194979, -194972, -194967?\n\"Answer: -y**2 + 12*y - 194999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 + 38*p - 1231. What is w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 66 - (2 + -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.4 - -2.4. Let t = -11.4 - y. Which is the second biggest value? (a) t (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2. Let j(n) = -2*n + 33. Give y(j(k)).\nAnswer: -16*k**2 + 528*k - 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2.3, -5373.4 in descending order.\nAnswer: -2.3, -43, -5373.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.04 - -13. Let j = v + 0.06. Which is the nearest to 0? (a) 0.5 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeae when four letters picked without replacement from eaeeeeeeeeae.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-24))\/(51\/(-12240)*32*(-6)\/(-16)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 19 - 5. Let a be g\/(-3) - (-12)\/4. Factor 2\/3 + a*x**3 + 2*x**2 + 2*x.\nAnswer: 2*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - -4) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3083972\nAnswer: 1\/3083972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12767 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is 493 minutes after 10:51 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - i**6 - 37*i**3 - 49*i**3 - 9 + 5*i**2 wrt i?\nAnswer: -120*i**3 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-125) + 170\/1000. Which is the closest to 2? (a) k (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*k + 28, 3*k = n + 3*n + 26. Suppose k*o = -0 + 12. Let b = o - 2. Solve -j - b*j = -15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -191, -299, -427, -581, -767, -991?\nAnswer: -1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107611 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312680901?\nAnswer: 3, 13, 8017459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -25070?\nAnswer: -25071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(1\/4)\/t))*t*t**(-3\/2))\/(((t\/t**(-2\/3))\/t)\/t**(-1)))\/(((t*t\/t**(2\/9))\/t)\/(t*t**5))**(-5\/3) assuming t is positive.\nAnswer: t**(-1255\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1996 + 2004. What is the nearest to 0.1 in x, 1\/5, 3\/2, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*6\/8. Let j(s) = s**3 + 6*s**2 - 3*s - 6. Let i be j(-6). Let l be 14\/i + (-1 - 0). Which is the third biggest value? (a) 0.5 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14481 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - l + 4. Let s be g(5). Suppose -2*z = -5*z + 9. Let m = 2 - z. Let j(b) = b. Let d(x) = x - 1. Determine m*j(n) + s*d(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 5 - 6)*(4*c**4 + 3*c**4 - 4*c**4) in the form y + u*c**3 + d*c**2 + v*c**4 + r*c and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7792 divided by 1948\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2. Calculate j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f = -49*f + 4. Let u(n) = -392*n**3 + 5*n**2 - 8*n - 8. Let h be u(f). Let v = h - -77248. What is v rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000000111100 (base 2) in base 14?\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 13) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dyydydddddyyydddyv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-825)\/270)\/(-55)*198?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2794)\/(-275) + ((7 - 8) + 3)*-5?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -849 + 852. Suppose a*k - 1155 = x, -6*k - 3*x = -5*k - 385. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:27 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 23506524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98274\/14 - (-164)\/(-287) a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-10 + 19)) + (2 - (3 + -2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*6660\/27. Is (u\/(-20))\/(1\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 71. Suppose 189 + 229 = -19*w. Let k(c) = c**2 + 22*c. Let l be k(w). Solve h = 3*v - l*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 10) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5*g**2 - 2*g - 1. Let o be (22*-33)\/(-26 - -28). Let r = -330 - o. Calculate the remainder when r is divided by x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10 and 3\/(-2)*5\/(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-13 + 54 + 10)*(-26 - 24 - 28 + 78 - 52*o) to h + b*o and give b.\nAnswer: -2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2456020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.28, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 38. Suppose -17 - 3 = -q*t. Suppose -t*o + 933 = -1895. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404159103 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(r**4 + 3 - 3 + 21*r**3 + 10*r**4 - 21*r**3 + 0*r**3 + 0*r**3 - 2*r**4 + (0*r - 4*r + 6*r)*(-2*r**2 - 2*r**3 + 2*r**2)).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308 + -3087\/10. Let s = -3\/10 - j. Which is the third biggest value? (a) -3 (b) s (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*j = 34, 2*j - 169 = 4*m - 3. Let k be (-66)\/(-80) - (-5)\/m. Let g be -1 + 18\/(-15)*25\/15. Which is the closest to 0.1? (a) -4 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159349200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -792067275 and 5.\nAnswer: -792067270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -37, -4, -0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a + 11. Let p(k) = 2*k + 1. Let h be p(a). Suppose 0 = -h*b + 20 + 85. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -398, -397, -396, -395?\n\"Answer: b - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750 by 5.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 2*a - 1. Let m be 4\/(-8)*(6 - 0). Calculate s(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160979 - 273?\nAnswer: -161252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i + 5*i + 4*i)*(-i**2 + 0*i + 0*i)*(3 + 3 - 4) in the form x*i + v + w*i**3 + j*i**2 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4765 divided by 5.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Factor 3*i**5 + 2*i**3 - 5*i**5 + 0*i**3 + 3*i**c - 3*i**4.\nAnswer: i**3*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 40, 62?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-590*w - 448*w + 124*w) to the form m*w + l and give m.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -109*k - 8 - 92*k + 187*k - k**3 - 10*k**2. Let i(q) = 2*q**3 + 21*q**2 + 29*q + 17. Let j(c) = -7*h(c) - 3*i(c). Factor j(u).\nAnswer: (u + 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 10:10 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 3*n**2 + 6*n + 6. Let s be y(-4). Let c be (s\/20)\/(3\/6). Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 12 = -3792*u + 3792*u, 4*l - 191 = 7*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414324?\nAnswer: 2, 3, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:20 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(0 - -14) + (-2)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 86 + 4 = 0. Sort 14, 4, 0, p in ascending order.\nAnswer: 0, p, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/204 and -44\/15?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 + 5 + (-3)\/1. Suppose 2*c = -0*c - 3*a, 5*c - 4*a - 23 = 0. Find the first derivative of -c - 1 + 3*z**2 + 4 + b wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/120 + 7*k**5\/60 + k**4\/24 - 7*k**3\/3 - 33*k**2. Does 14 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*r**2 - 6*r**2 - 26*r**2 - 24*r**2 - 26*r to the form m*r + q + b*r**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18044.938 + 18006. Let m = -0.48 + 39.48. Let x = c + m. Round x to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 60 + -57 - -4 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 106382400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1842 - 901. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 3. Let m be j(0). Let h = 61363\/14 + -4381. Calculate the common denominator of 0 + ((-258)\/32)\/m and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5710 + (-1 - -3))\/(6 - 8). Suppose g - q - 1705 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 12775.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -20 (b) 0.3 (c) -13 (d) 5.588 (e) -5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 5*u - 9. Determine n(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3323 (base 8) to base 6.\nAnswer: -12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-6))\/3)\/((-30)\/(-36)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2248516, 4497047, 6745578?\nAnswer: 8994109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*j = -0*b + 25, -14 = 4*b - 2*j. Let o be b\/(-3)*(196\/8 + 1). Find the first derivative of o - 19 - 3*a**3 - 6*a**3 wrt a.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 - -5.80202. What is f rounded to five decimal places?\nAnswer: 0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6730)\/(-58) - (-2863)\/(-83027).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 742\/5. Suppose h - 15 = -0*h + 3*s, 0 = -h + s + 7. Let x = 3 - 3.3. What is the closest to -1 in h, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)*c**4*(c*c**6)\/(c\/(c\/c**(2\/23))*c*c*c*c))**(-40) assuming c is positive.\nAnswer: c**(1000\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13. Suppose -2*t = 14 - 4. Put -3, z, t in increasing order.\nAnswer: t, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -158*f**3 - 4 - 136754*f + 155*f**3 + 136753*f. Let a(p) be the second derivative of -3*p**5\/20 - p**3\/3 - 5*p**2\/2 - 4*p. Calculate 2*a(m) - 3*i(m).\nAnswer: 3*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040864\/10 - (-13 + 2) - (-2)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 24*k**2 + 22*k + 17. Give p(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l. Let q be (6\/4)\/((-6)\/(-40)). Let p = q - -8. Let r be p\/8 + (-3)\/12. Let g(o) = -5*o. Give r*g(n) + 3*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305976.\nAnswer: 2, 288247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 101010111110010?\nAnswer: -101010111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1825 and -111\/250.\nAnswer: 18250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3184*q = 1511*q + 321*q + 486552 for q.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 531.65486 * 0.08.\nAnswer: 42.5323888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-301*m - 119*m - 26*m + 11*m)*(3*m + 3*m - 17*m).\nAnswer: 4785*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -98306067.932451+2\nAnswer: -98306065.932451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5560865534?\nAnswer: 2, 7, 181, 2194501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45773 divided by 1\nAnswer: -45773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154814 and 892?\nAnswer: 69047044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6922058200 to the power of 1\/3, to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(19) - sqrt(76)\/sqrt(4)) - (1 + sqrt(19) + -2)) + 0 + -5)**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 305773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20492177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*4 - -2)*-5. Suppose 70 = 10*d - a. Is ((-27)\/d - -2) + (-2571)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22893.75 years?\nAnswer: 228.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4 + 9810*u**2 - 3129*u + 122*u**4 + 409 - 56*u**3 - 8219*u**3 + 111 - 779*u = 0?\nAnswer: 2\/5, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 5*f**2 + 5*f. Let b(y) = -2*y**3 - 4*y**2 - 4*y. Let i(z) = z - 6. Let n be i(6). Let x be (n + 2)\/(2\/(-5)). Determine x*b(w) - 4*k(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 52, -32\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(95\/(-30) - (3 - 6)). Which is the nearest to f? (a) 0 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2977.041247 - -2953.0413. Let i = m - -24. Round i to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -1.18. Let t = 0.02 - o. Which is the second biggest value? (a) -4 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 152, 340, 604?\n\"Answer: 38*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 69*p - 83 = 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by (-24)\/(-32)*4 + 16 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -677\/44 + 447\/11. Find the common denominator of (-1208)\/(-672) - (-2)\/7 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 - 14\/7. Let p be 8 - (s\/2 - 0). What is the units digit of (-2)\/p + (-58)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 11:14 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4208 minus -16?\nAnswer: 15.5792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3868, -29304, -98302, -232642, -454104?\nAnswer: -784468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -32. Let t = h - 14. Let f be (-10)\/t + (-113998)\/3. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 3*s, 4*s = y + 3*y - 24. Let h(a) = -5*a - 24. Let t be h(-14). Let i be t\/16 - y\/(-32). Solve -c + i*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*k - 2 - 5*k + 17*k**4 + k**2 + 1 + 5*k to p*k**3 + d + r*k**4 + j*k + l*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802428580?\nAnswer: 2, 5, 40121429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 3210 + 3210 + 170367*a**2.\nAnswer: a**3 + 170367*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 0*y - 2*y + (1 - 3 + 5)*(14*y - 3*y - 9*y) - 3*y + 3*y + y - 2 + 2 + 3*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:41 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*p = -92887 - 91642. Which is greater: -1634 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456680 is divided by 2678?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*t - 307*t + 93 + 589*t.\nAnswer: -14*t + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 443772 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/450 and 92\/11925.\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 29. Let n be (-2)\/(((-27)\/l)\/(-9)). Suppose -n*m - 748 = -8*m. Is m a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -23*(-1)\/(-4). What is the closest to 0 in 0.02, t, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 20. Let d be y\/((-84)\/32 + 3). Let c = -1 + d. What is the remainder when 57 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -1\/12*g**4 + g**3 + 0 + 15*g + 0*g**2. Give t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-2 + 0) - 1. Let q = 9 + a. Let d(s) = s**3 - 2*s**2 - 2*s + 1. Calculate the smallest common multiple of d(3) and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 = 12*h + 198 + 34 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -6\/65, 0.2 in decreasing order.\nAnswer: 0.2, -6\/65, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 197422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 times -2831?\nAnswer: -4974067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 923 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and (9 + -14)*(4\/(-4)*-124)\/(-5).\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-28) + (-2)\/(-7) - (434559\/(-5658) - -76).\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -4*h**5\/5 - 14*h - 4. What is the derivative of m(z) wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 5 (c) -2\/5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + -11)\/((-4)\/6). Solve -4*x - d*f + 11 = 0, 2*x - 3*f = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 8*h + 6. Let l be w(-6). Let p(s) = s**2 + 7*s + 6. Let t be p(l). Suppose 3*y = -t*y + 9, -5*x + 40 = -5*y. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -716, -1491, -2266, -3041, -3816?\nAnswer: -4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (849098 + 26)*(-12)\/(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**3\/6 + 7*x**2\/2 - 2*x. Let q be (10\/(-20))\/(1\/12). Calculate the remainder when 1 is divided by s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/(p*(p**5\/p)\/p)*p**(-2\/29)\/(p*p**(-3)))**23 assuming p is positive.\nAnswer: p**(-7383\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8088*f*k**3*v - 15*f*k**3 - 3*f*k*v + 11*k**3*v + 96205*k**3 - 4*k*v wrt f?\nAnswer: 8088*k**3*v - 15*k**3 - 3*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}